Finite Element of Composite Materials with Partial Debonding along Boundary. Kohei HIGUCHI, Tetsuo IWAKUMA

Size: px
Start display at page:

Download "Finite Element of Composite Materials with Partial Debonding along Boundary. Kohei HIGUCHI, Tetsuo IWAKUMA"

Transcription

1 Vol. 8 ( ) Finite Element of Composite aterials with Partial Debonding along Boundary Kohei HIGUCHI, Tetsuo IWAKUA JFE PhD Damages in composite materials are mostly governed by interfacial debonding. In order to take this into account, we employ an analytical model considering partial debonding along interface, and formulate a finite element. The model utilizes a concept where a moduli of an inclusion is replaced by an equivalent one of debonded inclusions. By several examples, eligibility of the model is shown. As an application, excavation analysis of a tunnel in jointed rock mass is carried out, and the results are compared with other observations. Key Words : composites, partial debonding, ori-tanaka theory, finite element 1. FRP, FRC 1) 2) 3 3),4) Zhao and Weng 2 Voigt Reuss 5) Eshelby 6) 7) 10),11) Eshelby 12) Hashin- Shtrikman 8) 9) Zhao and Weng

2 J 2 Eshelby Zhao and Weng 11),12) Hill short-hand format 13) (x 1, x 2, x 3 ) x 1 C I C i jkl σ, ε I C i jkl Voigt σ 11 = C 11 ε 11 + C 12 ε 22 + C 13 ε 33 σ 22 = C 21 ε 11 + C 22 ε 22 + C 23 ε 33 (1) σ 33 = C 31 ε 11 + C 32 ε 22 + C 33 ε 33 σ 23 = C 44 ε 23, σ 31 = C 55 ε 31, σ 12 = C 66 ε 12 x 1 σ 11 = σ 31 = σ 12 = 0 (2) (1) (2) Eshelby σ 11 = 0 ( σ 22 = C 22 C ) ( 21C 12 ε 22 + C 23 C 21C 13 σ 33 = C 11 ( C 32 C 31C 12 C 11 C 11 ) ( ε 22 + C 33 C 31C 13 C 11 ) ε 33 ) ε 33 σ 23 = C 44 ε 23, σ 31 = 0, σ 12 = 0 (3) σ = C d I ε (4) C d I C d I 10),11) 14)

3 (C C I ) C 1 [ I + f C (S I) {C (C C I ) S} 1 Zhao and Weng D [ I + f C (S I) {C (C C I ) S} 1 (C C I ) C 1 1 (7c) [ f C (S I) {C (C C I ) S} 1 C I E [ C (S I) {C (C C I ) S} 1 C I [ I + C (S I) {C (C C I ) S} 1 (C C I ) C 1 [ 3. I + f C (S I) {C (C C I ) S} 1 (C C I ) C 1 1 (7d) [ f C (S I) {C (C C I ) S} 1 C I 3.1 J 2 15) 15) C I (4) C d I (7) σ = A σ + D ε p (5a) σ I = B σ E ε p (5b) 16) ε = C 1 σ + F ε p (5c) 3.2 σ σ I von ises σ, ε ε p f = (J 2 ) F (ε) p (8) C C 1 = [ I + f S {C (C C I ) S} 1 (C C I ) [ C + f C (S I) {C (C C I ) S} 1 (C C I ) 1 (6) ε p C C I S Eshelby I f 4 A, B, D, E, F A [ I + f C (S I) {C (C C I ) S} 1 (C C I ) C 1 1 (7a) B [ I + C (S I) {C (C C I ) S} 1 (C C I ) C 1 1 (7b) F I [ f S {C (C C I ) S} 1 C I + [ I + f S {C (C C I ) S} 1 (C C I ) [ C + f C (S I) {C (C C I ) S} 1 (C C I ) 1 [ f C (S I) {C (C C I ) S} 1 C I (7e) (J2 ) (J2 ) 1 2 σ : σ (9) F = 1 3 σ Y + h (ε eq ) n (10) σ Y h n ε eq 2ε p : ε p (11)

4 1 m x 2 x 1 P ε p = 1 H σ σ 4(J 2 ) σ (12) 5 m H 1 H F σ F ε p (13) (10) (10) (13) H = 2(n/2) 1 n h ( ε p : ε p (n /2) 1 ( ) ) σ : ε p 3(J2 ) (14) e (12) (5a) K e ḋ e = Ḟ e (20) ε p = 1 H σ σ 4 (J 2 ) A σ + 1 H σ σ 4 (J 2 ) D ε p (15) ε p = { I 1 σ σ } 1 1 σ σ D A H 4 (J 2 ) H 4 (J 2 ) σ (16) (5c) ε = C 1 σ + F {I 1 σ σ } 1 1 σ σ D A H 4 (J 2 ) H 4 (J 2 ) σ (17) { σ = C 1 + F I 1 σ σ } 1 1 σ σ 1 D A ε H 4 (J 2 ) H 4 (J 2 ) (18) σ = X ε (19) X 1 1 m 5 m (19) 2) 10) ḋ e Ḟ e K e K e = ( N e ) T X( N e )da (21) Ω e N e X (19) X (1) N/ 17) 2124Al SiC

5 P (N) 30 (a) σ d = 100Pa 20 (b) σ d = 200Pa 10 σ d = 100 Pa σ d = 200 Pa σ d = 300 Pa (c) σ d = 300Pa v (m) 3 2 (P = 24 N) 20% 2124Al E = 60 GPa ν = Pa σ Y = 290 Pa h = 700 Pa n = 0.55 SiC E I = 450 GPa ν I = ) σ d = 100, 200, 300 Pa 3 3 P < 5 N 1:5 (2) σ d = 100, 200, 300 Pa 3 P = 24.0 N 2 3 σ d = 100, 200, 300 Pa σ d = 100 Pa σ Y = σ d = 300 Pa P > 20 N (3) SiC 17) 1:1:5 1:5 σ d = 200 Pa

6 P (N) 30 (a) 20 (b) 10 (c) 4 (P = 24 N) 4 (a) P = 24 N (b) (b) 4 (a) (c) v (m) 5 5 (1) 18) 2024Al 34% 2024Al E = 55 GPa, ν = 0.32 σ Y = 80 Pah = 827 Pa, n = 0.60 E I = 380 GPa ν I = 0.2 σ d = 50, 100, 150 Pa 3 = 150 Pa 1:5 σ d

7 q 10 cm 8-a q = 48 N/m 8-b q = 64 N/m r r = 1 cm 10 cm 8-c q = 80 N/m 8-d q = 104 N/m q a q = 48 N/m 9-b q = 64 N/m c q = 80 N/m 9-d q = 96 N/m 6 20 cm 20 cm 1 cm q q = N/m/ σ d = 150 Pa 8 q = 48, 64, 80, 104 N/m 9 q = 48 N/m q = 64 N/m q = 80 N/m q = 104 N/m

8 (2) 1:5 9 q = 48, 64 N/m 4 m 2 m 2 m 4 m σ v σ h σ v 10 σ h 5. 19) 5.2 BC 20) 21) 22) m4 m 2 m200 m 40 m 40 m E = 20 GPa ν = :10 20% 2 Pa 2500 kg/m 3 σ v = 5 Pa 0.8 σ h = 4 Pa

9 0.3mm 0.2mm 0.1mm 0.3mm 0.2mm 0.1mm (2005/02/09) ) BC BC BC E = 20 GPa ν = 0.25 σ d = 15 Pa , , Pa (C)

10 1), No.682/I-56, pp , ), Vol.6, pp , 2003., Vol.7, pp , ), Vol.51A, pp , ) ori, T. and Tanaka, K.: Average stress in matrix and average energy of materials with misfitting inclusions, Acta etall., Vol.21, pp , ) Eshelby, J.D.: The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proc. Roy. Soc. London, Vol.A241, pp , ) ura, T.: icromechanics of Defects in Solids, artinus Nijhoff Publ, ) Hashin, Z. and Shtrikman, S.: A variational approach to the theory of the elastic behaviour of multiphase materials, J. ech. Phys. Solids, Vol.11, pp , ) Zhao, Y.H. and Weng, G.J.: Transversely isotropic moduli of two partitially debonded composites, Int. J. Solids Structures, Vol.34, pp , ) Zhao, Y.H. and Weng, G.J.: Plasticity of a two-phase composite with partially debonded inclusions, Int. J. Plasticity, Vol.12, pp , ) Ju, J.W. and Lee, H.K.: Amicromechanical damage model for effective elastoplastic behavior of partially debonded ductile matrix composites, Int. J. Solids Structures, Vol.38, pp , ) Zheng, S.F., Denda,. and Weng, G.J.: Interfacial partial debonding and its influence on the elasticity of a two-phase composite, ech. ater., Vol.32, pp , ) Hill, R.: Continuum micro-mechanics of elastoplastic polycrystals, J. ech. Phys. Solids, Vol.13, pp , ) Tandon, G.P., Kim, R.Y. and Bechel, V.T.: Evaluation of interfacial normal strength in a SCS-0/epoxy composite with cruciform specimens, Composites Sci. Tech., Vol.60, pp , ) 15), Vol.5, pp , ) Nemat-Nasser, S. and Hori,.: icromechanics: Overall Properties of Heterogeneous aterials, North-Holland, ) Sun, L.Z. and Ju, J.W.: Effective elastoplastic behavior of metal matrix composites containing randomly located aligned spheroidal inhomogeneities. Part II: applications, Int. J. Solids Structures, Vol.38, pp , ) Ju, J.W. and Zhang X.D.: Effective elastplastic behavior of ductile matrix composites containing randomly located aligned circular fibers, Int. J. Solids Structures, Vol.38, pp , ) Oda,., Yamabe, T., Ishizuka, Y., Kumasaka, H., Tada, H. and Kimura, K.: Elastic stress and strain in jointed rock masses by means of crack tensor analysis, Rock ech. Rock Eng., Vol.26, pp , ) Yoshida, H. and Horii, H.: icromechanics-based continuum model for a jointed rock mass and excavation analyses of a large-scale cavern, Rock ech. ining Sci., Vol.41, pp , ), No.659/III-52, pp , ), Vol.7, pp , ( )

Module 7: Micromechanics Lecture 34: Self Consistent, Mori -Tanaka and Halpin -Tsai Models. Introduction. The Lecture Contains. Self Consistent Method

Module 7: Micromechanics Lecture 34: Self Consistent, Mori -Tanaka and Halpin -Tsai Models. Introduction. The Lecture Contains. Self Consistent Method Introduction In this lecture we will introduce some more micromechanical methods to predict the effective properties of the composite. Here we will introduce expressions for the effective properties without

More information

Prediction of Micromechanical Behaviour of Elliptical Frp Composites

Prediction of Micromechanical Behaviour of Elliptical Frp Composites Prediction of Micromechanical Behaviour of Elliptical Frp Composites Kiranmayee.Nerusu Dept. of Mechanical Engg. P. V. P. Siddhartha Institute of Technology, Vijayawada 520 007, A.P, India. P. Phani Prasanthi

More information

Authors: Correspondence: ABSTRACT:

Authors: Correspondence: ABSTRACT: Multi-Scale Modeling of the Impact and Failure of Fiber Reinforced Polymer Structures using DIGIMAT to LS-DYNA Interface Authors: L. Adam, R. Assaker & R. Ramaya e-xstream engineering S.A. 7, Rue du Bosquet.

More information

Interfacial partial debonding and its in uence on the elasticity of a two-phase composite

Interfacial partial debonding and its in uence on the elasticity of a two-phase composite Mechanics of Materials 32 (2000) 695±709 www.elsevier.com/locate/mechmat Interfacial partial debonding and its in uence on the elasticity of a two-phase composite S.F. Zheng, M. Denda, G.J. Weng * Department

More information

Hysteretic equivalent continuum model of nanocomposites with interfacial stick-slip

Hysteretic equivalent continuum model of nanocomposites with interfacial stick-slip Hysteretic equivalent continuum model of nanocomposites with interfacial stick-slip Giovanni Formica 1, Michela Talò, Walter Lacarbonara 1 Dipartimento di Architettura, Università degli Studi Roma Tre

More information

Homogenization methods for multi-phase elastic composites: Comparisons and benchmarks

Homogenization methods for multi-phase elastic composites: Comparisons and benchmarks TECHNISCHE MECHANIK, 3, 4, (), 374 386 submitted: October 6, 9 Homogenization methods for multi-phase elastic composites: Comparisons and benchmarks B. Klusemann, B. Svendsen Usually homogenization methods

More information

in materials/structural modellings and designs Liping Liu

in materials/structural modellings and designs Liping Liu Closed-form solutions and their applications in materials/structural modellings and designs Liping Liu University it of Houston Why composites and heterogeneous structures? A material has many different

More information

Fatigue Damage Development in a Steel Based MMC

Fatigue Damage Development in a Steel Based MMC Fatigue Damage Development in a Steel Based MMC V. Tvergaard 1,T.O/ rts Pedersen 1 Abstract: The development of fatigue damage in a toolsteel metal matrix discontinuously reinforced with TiC particulates

More information

Analysis of high loss viscoelastic composites

Analysis of high loss viscoelastic composites Analysis of high loss viscoelastic composites by C. P. Chen, Ph.D. and R. S. Lakes, Ph.D. Department of Engineering Physics Engineering Mechanics Program; Biomedical Engineering Department Materials Science

More information

MICROMECHANICAL ANALYSIS OF FRP COMPOSITES SUBJECTED TO LONGITUDINAL LOADING

MICROMECHANICAL ANALYSIS OF FRP COMPOSITES SUBJECTED TO LONGITUDINAL LOADING MICROMECHANICAL ANALYSIS OF FRP COMPOSITES SUBJECTED TO LONGITUDINAL LOADING N. Krishna Vihari 1, P. Phani Prasanthi 1, V. Bala Krishna Murthy 2* and A. Srihari Prasad 3 1 Mech. Engg. Dept., P. V. P. Siddhartha

More information

Soufiane Belhouideg. Keywords Composite materials, homogenization method, Eshelby s inclusion problem.

Soufiane Belhouideg. Keywords Composite materials, homogenization method, Eshelby s inclusion problem. Prediction of effective mechanical properties of composite materials using homogenization approach: Application to tungsten fiber reinforced bulk metallic glass matrix composite Soufiane Belhouideg Abstract

More information

Supporting Information. Potential semiconducting and superconducting metastable Si 3 C. structures under pressure

Supporting Information. Potential semiconducting and superconducting metastable Si 3 C. structures under pressure Supporting Information Potential semiconducting and superconducting metastable Si 3 C structures under pressure Guoying Gao 1,3,* Xiaowei Liang, 1 Neil W. Ashcroft 2 and Roald Hoffmann 3,* 1 State Key

More information

Effective Elastoplastic Damage Mechanics for Fiber-reinforced Composites with Evolutionary Complete Fiber Debonding

Effective Elastoplastic Damage Mechanics for Fiber-reinforced Composites with Evolutionary Complete Fiber Debonding Effective Elastoplastic Damage Mechanics for Fiber-reinforced Composites with Evolutionary Complete Fiber Debonding J. W. Ju, Y. F. Ko, H. N. Ruan To cite this version: J. W. Ju, Y. F. Ko, H. N. Ruan.

More information

P program, version 2. Theoretical manual & User guide

P program, version 2. Theoretical manual & User guide Documentation for H E L P program, version 2 Theoretical manual & User guide Jan Vorel 1 May 22, 2015 1 Czech Technical University in Prague, Faculty of Civil Engineering, Department of Mechanics Contents

More information

Variational Asymptotic Method for Unit Cell Homogenization

Variational Asymptotic Method for Unit Cell Homogenization Variational Asymptotic Method for Unit Cell Homogenization Wenbin Yu 1 and Tian Tang 2 1 Utah State University, Logan, Utah 84322-4130 Wenbin.Yu@usu.edu 2 Utah State University, Logan, Utah 84322-4130

More information

Continuum Modeling Techniques to Determine Mechanical Properties of Nanocomposites

Continuum Modeling Techniques to Determine Mechanical Properties of Nanocomposites International OPEN ACCESS Journal Of Modern Engineering Research (IJMER) Continuum Modeling Techniques to Determine Mechanical Properties of Nanocomposites Sonali Gholap 1, Dr. Dhananjay R. Panchagade

More information

STEEL FIBER CURVATURE IN CONCRETE COMPOSITES: MODULUS PREDICTIONS USING EFFECTIVE STEEL FIBER PROPERTIES

STEEL FIBER CURVATURE IN CONCRETE COMPOSITES: MODULUS PREDICTIONS USING EFFECTIVE STEEL FIBER PROPERTIES American Journal of Applied Sciences 11 (1): 145-151, 2014 ISSN: 1546-9239 2014 Science Publication doi:10.3844/ajassp.2014.145.151 Published Online 11 (1) 2014 (http://www.thescipub.com/ajas.toc) STEEL

More information

Micromechanical modelling and experimental investigation of random discontinuous glass fiber polymer matrix composites

Micromechanical modelling and experimental investigation of random discontinuous glass fiber polymer matrix composites Micromechanical modelling and experimental investigation of random discontinuous glass fiber polymer matrix composites A. Bouaziz, F. Zaïri, M. Naït-Abdelaziz, J.M. Gloaguen, J.M. Lefebvre To cite this

More information

The overall elastic moduli of orthotropic composite and description of orthotropic damage of materials

The overall elastic moduli of orthotropic composite and description of orthotropic damage of materials International Journal of Solids and Structures 37 (2000) 6755±6771 www.elsevier.com/locate/ijsolstr The overall elastic moduli of orthotropic composite and description of orthotropic damage of materials

More information

Variational bounds for anisotropic elastic multiphase composites with different shapes of inclusions

Variational bounds for anisotropic elastic multiphase composites with different shapes of inclusions Arch Appl Mech DOI 1.17/s419-8-246-1 ORIGINAL R. Rodríguez-Ramos R. Guinovart-Díaz J. Bravo-Castillero F. J. Sabina H. Berger S. Kari U. Gabbert Variational bounds for anisotropic elastic multiphase composites

More information

Micromechanical analysis of FRP hybrid composite lamina for in-plane transverse loading

Micromechanical analysis of FRP hybrid composite lamina for in-plane transverse loading Indian Journal of Engineering & Materials Sciences Vol. 15, October 2008, pp. 382-390 Micromechanical analysis of FRP hybrid composite lamina for in-plane transverse loading K Sivaji Babu a *, K Mohana

More information

A micromechanical model for effective elastic properties of particulate composites with imperfect interfacial bonds

A micromechanical model for effective elastic properties of particulate composites with imperfect interfacial bonds International Journal of Solids and Structures 42 (2005) 4179 4191 www.elsevier.com/locate/ijsolstr A micromechanical model for effective elastic properties of particulate composites with imperfect interfacial

More information

McMAT 2007 Micromechanics of Materials Austin, Texas, June 3 7, 2007

McMAT 2007 Micromechanics of Materials Austin, Texas, June 3 7, 2007 McMAT 2007 Micromechanics of Materials Austin, Texas, June 3 7, 2007 RANDOM POLYCRYSTALS OF GRAINS WITH CRACKS: MODEL OF ELASTIC BEHAVIOR FOR FRACTURED SYSTEMS James G. Berryman Earth Sciences Division

More information

Statistical continuum mechanics analysis of an elastic two-isotropic-phase composite material

Statistical continuum mechanics analysis of an elastic two-isotropic-phase composite material Composites: Part B 31 (2000) 39 46 www.elsevier.com/locate/compositesb Statistical continuum mechanics analysis of an elastic two-isotropic-phase composite material S. Lin, H. Garmestani* Mechanical Engineering

More information

Downloaded 08/30/13 to Redistribution subject to SEG license or copyright; see Terms of Use at

Downloaded 08/30/13 to Redistribution subject to SEG license or copyright; see Terms of Use at Modeling the effect of pores and cracks interactions on the effective elastic properties of fractured porous rocks Luanxiao Zhao*, De-hua Han, Qiuliang Yao and Fuyong Yan, University of Houston; Mosab

More information

Analytical Stress Modeling for Mine related Microseismicity

Analytical Stress Modeling for Mine related Microseismicity Analytical Stress Modeling for Mine related Microseismicity Himanshu Barthwal and Mirko van der Baan University of Alberta Summary Microseismicity is recorded in an underground mine by a network of 7 boreholes

More information

Development of a code to generate randomly distributed short fiber composites to estimate mechanical properties using FEM

Development of a code to generate randomly distributed short fiber composites to estimate mechanical properties using FEM International Journal of Theoretical and Applied Mechanics. ISSN 0973-6085 Volume 12, Number 4 (2017) pp. 863-872 Research India Publications http://www.ripublication.com Development of a code to generate

More information

EVALUATION OF GLASS FIBER/EPOXY INTERFACIAL STRENGTH USING A CRUCIFORM SPECIMEN

EVALUATION OF GLASS FIBER/EPOXY INTERFACIAL STRENGTH USING A CRUCIFORM SPECIMEN 6 TH INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS EVALUATION OF GLASS FIBER/EPOXY INTERFACIAL STRENGTH USING A CRUCIFORM SPECIMEN Shinji Ogihara*, Yoriaki Sakamoto ** and Hajime Kato ** *Department

More information

Comparison Between Biphasic and Triphasic Model for Predicting the Elastic Modulus of Concrete

Comparison Between Biphasic and Triphasic Model for Predicting the Elastic Modulus of Concrete Comparison Between Biphasic and Triphasic Model for Predicting the Elastic Modulus of Concrete Fatima Aouissi 1,*, Chung-Chia Yang 2, Abdelamalek Brahma 1, and Omar Zorkane 3 1 Department of Civil Engineering

More information

Finite Element Modeling of Residual Thermal Stresses in Fiber-Reinforced Composites Using Different Representative Volume Elements

Finite Element Modeling of Residual Thermal Stresses in Fiber-Reinforced Composites Using Different Representative Volume Elements Proceedings o the World Congress on Engineering 21 Vol II WCE 21, June 3 - July 2, 21, London, U.K. Finite Element Modeling o Residual Thermal Stresses in Fiber-Reinorced Composites Using Dierent Representative

More information

Size Effect of Clay Filler Particles on Mechanical Properties of Pultruded Polymer Composites Under Shear Loading

Size Effect of Clay Filler Particles on Mechanical Properties of Pultruded Polymer Composites Under Shear Loading Minnesota State University, Mankato Cornerstone: A Collection of Scholarly and Creative Works for Minnesota State University, Mankato All Theses, Dissertations, and Other Capstone Projects Theses, Dissertations,

More information

Effective elastic moduli of two dimensional solids with distributed cohesive microcracks

Effective elastic moduli of two dimensional solids with distributed cohesive microcracks European Journal of Mechanics A/Solids 23 (2004) 925 933 Effective elastic moduli of two dimensional solids with distributed cohesive microcracks Shaofan Li a,, Gang Wang a, Elise Morgan b a Department

More information

Prediction of Elastic Constants on 3D Four-directional Braided

Prediction of Elastic Constants on 3D Four-directional Braided Prediction of Elastic Constants on 3D Four-directional Braided Composites Prediction of Elastic Constants on 3D Four-directional Braided Composites Liang Dao Zhou 1,2,* and Zhuo Zhuang 1 1 School of Aerospace,

More information

Evaluation of Effective Elastic Moduli Using Micromechanics

Evaluation of Effective Elastic Moduli Using Micromechanics IOP Conference Series: Materials Science and Engineering PAPER OPEN ACCESS Evaluation of Effective Elastic Moduli Using Micromechanics To cite this article: Misba Mehdi Mrs. et al 2018 IOP Conf. Ser.:

More information

Effects of geometry and properties of fibre and matrix on overall. composite parameters

Effects of geometry and properties of fibre and matrix on overall. composite parameters Int. Journal of Applied Sciences and ngineering Research, ol. 3, Issue 4, 2014 www.ijaser.com 2014 by the authors Licensee IJASR- Under Creative Commons License 3.0 editorial@ijaser.com Research article

More information

ELASTOPLASTICITY THEORY by V. A. Lubarda

ELASTOPLASTICITY THEORY by V. A. Lubarda ELASTOPLASTICITY THEORY by V. A. Lubarda Contents Preface xiii Part 1. ELEMENTS OF CONTINUUM MECHANICS 1 Chapter 1. TENSOR PRELIMINARIES 3 1.1. Vectors 3 1.2. Second-Order Tensors 4 1.3. Eigenvalues and

More information

THE ROCK PHYSICS HANDBOOK

THE ROCK PHYSICS HANDBOOK THE ROCK PHYSICS HANDBOOK TOOLS FOR SEISMIC ANALYSIS IN POROUS MEDIA Gary Mavko Tapan Mukerji Jack Dvorkin Stanford University Stanford University Stanford University CAMBRIDGE UNIVERSITY PRESS CONTENTS

More information

Debonding process in composites using BEM

Debonding process in composites using BEM Boundary Elements XXVII 331 Debonding process in composites using BEM P. Prochazka & M. Valek Czech Technical University, Prague, Czech Republic Abstract The paper deals with the debonding fiber-matrix

More information

Numerical evaluation of effective material properties of randomly distributed short cylindrical fibre composites

Numerical evaluation of effective material properties of randomly distributed short cylindrical fibre composites Computational Materials Science 39 (2007) 198 204 www.elsevier.com/locate/commatsci Numerical evaluation of effective material properties of randomly distributed short cylindrical fibre composites S. Kari

More information

Microstructure design of a two phase composite using two-point correlation functions

Microstructure design of a two phase composite using two-point correlation functions Brigham Young University BYU ScholarsArchive All Faculty Publications 2004-01-01 Microstructure design of a two phase composite using two-point correlation functions Brent L. Adams b_l_adams@byu.edu H.

More information

P ticles of one material in a polymer matrix of another

P ticles of one material in a polymer matrix of another A Gene ra I i ze d Se If - C o n s i s t e n t M or i -Ta na ka Sc h e m e for Prediction of the Effective Elastic Moduli of Hybrid Multiphase Particulate Composites L. H. DAI, 2. P. HUANG, andr. WANG

More information

Phase-field Modeling of Microstructures and Rapid Image-Based Calculation of Stress-Strain Curve

Phase-field Modeling of Microstructures and Rapid Image-Based Calculation of Stress-Strain Curve Third International Symposium on Phase-field Method (PFM-214), The Penn Stater Conference Center Hotel, State College, PA, August 26-29, (214) Phase-field Modeling of Microstructures and Rapid Image-Based

More information

Multi-Scale Modeling of Crash & Failure of Reinforced Plastics Parts with DIGIMAT to LS-DYNA interface

Multi-Scale Modeling of Crash & Failure of Reinforced Plastics Parts with DIGIMAT to LS-DYNA interface 7 th European LS-DYNA Conference Multi-Scale Modeling of Crash & Failure of Reinforced Plastics Parts with DIGIMAT to LS-DYNA interface L. Adam, A. Depouhon & R. Assaker e-xstream engineering S.A.. 7,

More information

A multiscale approach for composite materials as multifield continua

A multiscale approach for composite materials as multifield continua Materials Science Forum Vols. 539-543 (27) pp. 2551-2556 online at http://www.scientific.net (27) Trans Tech Publications, Switzerland A multiscale approach for composite materials as multifield continua

More information

3D Compression Molding

3D Compression Molding Autodesk Simulation Moldflow Insight 2014 3D Compression Molding Executive summary In this work, the simulation results from a program developed for the three-dimensional analysis of compression molding

More information

Effect of Interlayers on Mechanical Properties and Interfacial Stress Transfer of 2D Layered Graphene- Polymer Nanocompsites

Effect of Interlayers on Mechanical Properties and Interfacial Stress Transfer of 2D Layered Graphene- Polymer Nanocompsites University of Kentucky UKnowledge Theses and Dissertations--Mechanical Engineering Mechanical Engineering 2017 Effect of Interlayers on Mechanical Properties and Interfacial Stress Transfer of 2D Layered

More information

International Journal of Engineering Science

International Journal of Engineering Science International Journal of Engineering Science 49 (2011) 322 332 Contents lists available at ScienceDirect International Journal of Engineering Science ournal homepage: www.elsevier.com/locate/iengsci On

More information

Stiffness Predictions for Unidirectional Short-Fiber Composites: Review and Evaluation

Stiffness Predictions for Unidirectional Short-Fiber Composites: Review and Evaluation Stiffness Predictions for Unidirectional Short-Fiber Composites: Review and Evaluation Charles L. Tucker III Department of Mechanical and Industrial Engineering University of Illinois at Urbana-Champaign

More information

A direct evaluation of the Fabric Tensor in anisotropic porous media

A direct evaluation of the Fabric Tensor in anisotropic porous media A direct evaluation of the Fabric Tensor in anisotropic porous media Maria Cristina Pernice 1, Luciano Nunziante 1, Massimiliano Fraldi 1,2 1 Department of Structural Engineering, University of Naples

More information

An Elasto-Visco-Plastic Multiscale Model for Fibrous Unidirectional Composite Materials

An Elasto-Visco-Plastic Multiscale Model for Fibrous Unidirectional Composite Materials An Elasto-Visco-Plastic Multiscale Model for Fibrous Unidirectional Composite Materials by Shari Lynn King A thesis presented to the University of Waterloo in fulfillment of the thesis requirement for

More information

Voigt, Reuss, Hill, and Self-Consistent Techniques for Modeling Ultrasonic Scattering

Voigt, Reuss, Hill, and Self-Consistent Techniques for Modeling Ultrasonic Scattering University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Mechanical & Materials Engineering Faculty Publications Mechanical & Materials Engineering, Department of 215 Voigt, Reuss,

More information

Mechanical and Thermal Properties of Coir Fiber Reinforced Epoxy Composites Using a Micromechanical Approach

Mechanical and Thermal Properties of Coir Fiber Reinforced Epoxy Composites Using a Micromechanical Approach Mechanical and Thermal Properties of Coir Fiber Reinforced Epoxy Composites Using a Micromechanical Approach Sandhyarani Biswas Department of Mechanical Engineering, N.I.T Rourkela, INDIA Abstract: Now-a-days,

More information

PROPERTY CALCULATION SYSTEM FOR INJECTION MOLDING AND COMPRESSION MOLDING OF FIBER-FILLED POLYMER COMPOSITES

PROPERTY CALCULATION SYSTEM FOR INJECTION MOLDING AND COMPRESSION MOLDING OF FIBER-FILLED POLYMER COMPOSITES PROPERTY CALCULATION SYSTEM FOR INJECTION MOLDING AND COMPRESSION MOLDING OF FIBER-FILLED POLYMER COMPOSITES X. Jin *, J. Wang, S. Han Autodesk Inc., 353 N. Triphammer Rd., Ithaca, NY, 485, U.S.A. Corning

More information

A Comparative Study of Analytical and Numerical Evaluation of Elastic Properties of Short Fiber Composites

A Comparative Study of Analytical and Numerical Evaluation of Elastic Properties of Short Fiber Composites IOP Conference Series: Materials Science and Engineering PAPER OPEN ACCESS A Comparative Study of Analytical and Numerical Evaluation of Elastic Properties of Short Fiber Composites To cite this article:

More information

ASSESSMENT OF MIXED UNIFORM BOUNDARY CONDITIONS FOR PREDICTING THE MACROSCOPIC MECHANICAL BEHAVIOR OF COMPOSITE MATERIALS

ASSESSMENT OF MIXED UNIFORM BOUNDARY CONDITIONS FOR PREDICTING THE MACROSCOPIC MECHANICAL BEHAVIOR OF COMPOSITE MATERIALS ASSESSMENT OF MIXED UNIFORM BOUNDARY CONDITIONS FOR PREDICTING THE MACROSCOPIC MECHANICAL BEHAVIOR OF COMPOSITE MATERIALS Dieter H. Pahr and Helmut J. Böhm Institute of Lightweight Design and Structural

More information

DRAFT. Analytical Model for the Effective Thermal Conductivity Matrix of Anisotropic Composites

DRAFT. Analytical Model for the Effective Thermal Conductivity Matrix of Anisotropic Composites DRAFT Proceedings of IMECE 25 ASME 21 International Mechanical Engineering Congress & Exposition November 12-18 21, Vancouver, British Columbia Canada IMECE21-466 Analytical Model for the Effective Thermal

More information

An anisotropic continuum damage model for concrete

An anisotropic continuum damage model for concrete An anisotropic continuum damage model for concrete Saba Tahaei Yaghoubi 1, Juha Hartikainen 1, Kari Kolari 2, Reijo Kouhia 3 1 Aalto University, Department of Civil and Structural Engineering 2 VTT 3 Tampere

More information

MODELLING THE THERMOELASTIC PROPERTIES OF SHORT FIBRE COMPOSITES WITH ANISOTROPIC PHASES

MODELLING THE THERMOELASTIC PROPERTIES OF SHORT FIBRE COMPOSITES WITH ANISOTROPIC PHASES MODELLING THE THERMOELASTIC PROPERTIES OF SHORT FIBRE COMPOSITES WITH ANISOTROPIC PHASES P.J.Hine*, C.D.Price*, B.Whiteside $, A.M.Cunha # and I.M.Ward* * - IRC in Polymer Science and Technology, University

More information

Contemporary Research in Engineering Science

Contemporary Research in Engineering Science Bazant, Z.P., and Prat, P.C. (1995). 'Elastic material with systems of growing or closing cracks: Tangential Stiffness.' in Contemporary Research in Engineering Science (Proc., Eringen Medal Symp. honoring

More information

International Journal of Engineering Science

International Journal of Engineering Science International Journal of Engineering Science 63 (2013) 1 9 Contents lists available at SciVerse ScienceDirect International Journal of Engineering Science journal homepage: www.elsevier.com/locate/ijengsci

More information

HOMOGENIZATION MODELS FOR POLYMER-CLAY NANOCOMPOSITES: ONE- AND TWO-STEP APPRAOCHES

HOMOGENIZATION MODELS FOR POLYMER-CLAY NANOCOMPOSITES: ONE- AND TWO-STEP APPRAOCHES THE 19 TH INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS HOMOGENIZATION MODELS FOR POLYMER-CLAY NANOCOMPOSITES: ONE- AND TWO-STEP APPRAOCHES M. Pahalavpour 1, P. Hubert, M. Lévesque 1 * 1 Mechanical Engineering

More information

Archetype-Blending Multiscale Continuum Method

Archetype-Blending Multiscale Continuum Method Archetype-Blending Multiscale Continuum Method John A. Moore Professor Wing Kam Liu Northwestern University Mechanical Engineering 3/27/2014 1 1 Outline Background and Motivation Archetype-Blending Continuum

More information

EFFECTIVE PROPERTIES OF THREE-PHASE ELECTRO-MAGNETO-ELASTIC MULTIFUNCTIONAL COMPOSITE MATERIALS. A Thesis JAE SANG LEE

EFFECTIVE PROPERTIES OF THREE-PHASE ELECTRO-MAGNETO-ELASTIC MULTIFUNCTIONAL COMPOSITE MATERIALS. A Thesis JAE SANG LEE EFFECTIVE PROPERTIES OF THREE-PHASE ELECTRO-MAGNETO-ELASTIC MULTIFUNCTIONAL COMPOSITE MATERIALS A Thesis by JAE SANG LEE Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment

More information

Viscosity of magmas containing highly deformable bubbles

Viscosity of magmas containing highly deformable bubbles Journal of Volcanology and Geothermal Research 105 (2001) 19±24 www.elsevier.nl/locate/jvolgeores Viscosity of magmas containing highly deformable bubbles M. Manga a, *, M. Loewenberg b a Department of

More information

Development and numerical implementation of an anisotropic continuum damage model for concrete

Development and numerical implementation of an anisotropic continuum damage model for concrete Development and numerical implementation of an anisotropic continuum damage model for concrete Juha Hartikainen 1, Kari Kolari 2, Reijo Kouhia 3 1 Tampere University of Technology, Department of Civil

More information

6.4 A cylindrical specimen of a titanium alloy having an elastic modulus of 107 GPa ( psi) and

6.4 A cylindrical specimen of a titanium alloy having an elastic modulus of 107 GPa ( psi) and 6.4 A cylindrical specimen of a titanium alloy having an elastic modulus of 107 GPa (15.5 10 6 psi) and an original diameter of 3.8 mm (0.15 in.) will experience only elastic deformation when a tensile

More information

Fig. 1. Different locus of failure and crack trajectories observed in mode I testing of adhesively bonded double cantilever beam (DCB) specimens.

Fig. 1. Different locus of failure and crack trajectories observed in mode I testing of adhesively bonded double cantilever beam (DCB) specimens. a). Cohesive Failure b). Interfacial Failure c). Oscillatory Failure d). Alternating Failure Fig. 1. Different locus of failure and crack trajectories observed in mode I testing of adhesively bonded double

More information

Composite materials: mechanical properties

Composite materials: mechanical properties Composite materials: mechanical properties A computational lattice model describing scale effects @ nano-scale Luciano Colombo In collaboration with: Pier Luca Palla and Stefano Giordano Department of

More information

Fracture Mechanics of Composites with Residual Thermal Stresses

Fracture Mechanics of Composites with Residual Thermal Stresses J. A. Nairn Material Science & Engineering, University of Utah, Salt Lake City, Utah 84 Fracture Mechanics of Composites with Residual Thermal Stresses The problem of calculating the energy release rate

More information

Integration of Rousselier s continuous ductile damage model

Integration of Rousselier s continuous ductile damage model Integration of Rousselier s continuous ductile damage model Anton Shterenlikht Mech Eng Dept, The University of Bristol, Bristol BS8 1TR, UK Rousselier s continuous ductile damage model (Rousselier, 1981

More information

Competing Effect of Pore Fluid and Texture -- Case Study

Competing Effect of Pore Fluid and Texture -- Case Study Competing Effect of Pore Fluid and Texture -- Case Study Depth (m) Sw Sxo. m Poisson's Ratio.. GOC.1 5 7 8 9 P-Impedance OWC 15 GR.. RHOB.5 1 Saturation...5. 1. 1.5 Vs (km/s).. Poisson's Ratio 5 7 P-Impedance

More information

EFFECTIVE CHARACTERISTICS OF POROUS MEDIA AS A FUNCTION OF POROSITY LEVEL

EFFECTIVE CHARACTERISTICS OF POROUS MEDIA AS A FUNCTION OF POROSITY LEVEL AMS Subject Classification Index: 74Q20 EFFECTIVE CHARACTERISTICS OF POROUS MEDIA AS A FUNCTION OF POROSITY LEVEL Irini DJERAN-MAIGRE and Sergey V.KUZNETSOV INSA de Lyon, URGC 34 Avenue des Arts, 69621

More information

On the uniformity of stresses inside an inhomogeneity of arbitrary shape

On the uniformity of stresses inside an inhomogeneity of arbitrary shape IMA Journal of Applied Mathematics 23) 68, 299 311 On the uniformity of stresses inside an inhomogeneity of arbitrary shape Y. A. ANTIPOV Department of Mathematics, Louisiana State University, Baton ouge,

More information

FRACTURE MECHANICS OF COMPOSITES WITH RESIDUAL STRESSES, TRACTION-LOADED CRACKS, AND IMPERFECT INTERFACES

FRACTURE MECHANICS OF COMPOSITES WITH RESIDUAL STRESSES, TRACTION-LOADED CRACKS, AND IMPERFECT INTERFACES Proc. 2 nd ESIS TC4 Conference on Polymers and Composites, in press, 1999 Author prepared reprint FRACTURE MECHANICS OF COMPOSITES WITH RESIDUAL STRESSES, TRACTION-LOADED CRACKS, AND IMPERFECT INTERFACES

More information

THE INFLUENCE OF IN-PLANE DENSITY VARIATION ON ENGINEERING PROPERTIES OF ORIENTED STRANDBOARD: A FINITE ELEMENT SIMULATION

THE INFLUENCE OF IN-PLANE DENSITY VARIATION ON ENGINEERING PROPERTIES OF ORIENTED STRANDBOARD: A FINITE ELEMENT SIMULATION Proceedings of McMat5: 5 Joint ASME/ASCE/SES Conference on Mechanics and Materials June 1-3, 5, Baton Rouge, Louisiana, USA 255 THE INFLUENCE OF IN-PLANE DENSITY VARIATION ON ENGINEERING PROPERTIES OF

More information

A differential scheme for elastic properties of rocks with dry or saturated cracks

A differential scheme for elastic properties of rocks with dry or saturated cracks Stanford Exploration Project, Report 08, April 29, 200, pages?? A differential scheme for elastic properties of rocks with dry or saturated cracks James G. Berryman, Steven R. Pride, 2 and Herbert F. Wang

More information

Received 5 April 2003; received in revised form 29 May 2003

Received 5 April 2003; received in revised form 29 May 2003 Materials Science and Engineering A360 (2003) 339/344 www.elsevier.com/locate/msea Connection between elastic moduli and thermal conductivities of anisotropic short fiber reinforced thermoplastics: theory

More information

A SHORT INTRODUCTION TO BASIC ASPECTS OF CONTINUUM MICROMECHANICS

A SHORT INTRODUCTION TO BASIC ASPECTS OF CONTINUUM MICROMECHANICS ILSB Report 207 hjb/ilsb/181128 ILSB Report / ILSB-Arbeitsbericht 206 (supersedes CDL FMD Report 3 1998) A SHORT INTRODUCTION TO BASIC ASPECTS OF CONTINUUM MICROMECHANICS Helmut J. Böhm Institute of Lightweight

More information

Análisis Computacional del Comportamiento de Falla de Hormigón Reforzado con Fibras Metálicas

Análisis Computacional del Comportamiento de Falla de Hormigón Reforzado con Fibras Metálicas San Miguel de Tucuman, Argentina September 14 th, 2011 Seminary on Análisis Computacional del Comportamiento de Falla de Hormigón Reforzado con Fibras Metálicas Antonio Caggiano 1, Guillermo Etse 2, Enzo

More information

Contact Modeling of Rough Surfaces. Robert L. Jackson Mechanical Engineering Department Auburn University

Contact Modeling of Rough Surfaces. Robert L. Jackson Mechanical Engineering Department Auburn University Contact Modeling of Rough Surfaces Robert L. Jackson Mechanical Engineering Department Auburn University Background The modeling of surface asperities on the micro-scale is of great interest to those interested

More information

Apparent thermal conductivity of periodic two-dimensional composites

Apparent thermal conductivity of periodic two-dimensional composites Computational Materials Science 25 (2002) 329 338 www.elsevier.com/locate/commatsci Apparent thermal conductivity of periodic two-dimensional composites M. Jiang a, I. Jasiuk b, *, M. Ostoja-Starzewski

More information

MODELLING INTERACTION EFFECT OF NANOSILICA PARTICLES ON NANOSILICA/EPOXY COMPOSITE STIFFNESS

MODELLING INTERACTION EFFECT OF NANOSILICA PARTICLES ON NANOSILICA/EPOXY COMPOSITE STIFFNESS MODELLING INTERACTION EFFECT OF NANOSILICA PARTICLES ON NANOSILICA/EPOXY COMPOSITE STIFFNESS Mulyadi a*, I. Gitman a, C. Pinna a, C. Soutis b a Department of Mechanical Engineering, The University of Sheffield,

More information

EVALUATION OF EFFECTIVE MECHANICAL PROPERTIES OF COMPLEX MULTIPHASE MATERIALS WITH FINITE ELEMENT METHOD

EVALUATION OF EFFECTIVE MECHANICAL PROPERTIES OF COMPLEX MULTIPHASE MATERIALS WITH FINITE ELEMENT METHOD U.P.B. Sci. Bull., Series D, Vol. 79, Iss. 3, 2017 ISSN 1454-2358 EVALUATION OF EFFECTIVE MECHANICAL PROPERTIES OF COMPLEX MULTIPHASE MATERIALS WITH FINITE ELEMENT METHOD Mohamed said BOUTAANI 1, Salah

More information

The plastic behaviour of silicon subjected to micro-indentation

The plastic behaviour of silicon subjected to micro-indentation JOURNAL OF MATERIALS SCIENCE 31 (1996) 5671-5676 The plastic behaviour of silicon subjected to micro-indentation L. ZHANG, M. MAHDI Centre for Advanced Materials Technology, Department of Mechanical and

More information

INTERNATIONAL JOURNAL OF APPLIED ENGINEERING RESEARCH, DINDIGUL Volume 2, No 1, 2011

INTERNATIONAL JOURNAL OF APPLIED ENGINEERING RESEARCH, DINDIGUL Volume 2, No 1, 2011 Interlaminar failure analysis of FRP cross ply laminate with elliptical cutout Venkateswara Rao.S 1, Sd. Abdul Kalam 1, Srilakshmi.S 1, Bala Krishna Murthy.V 2 1 Mechanical Engineering Department, P. V.

More information

Effective medium theory for elastic composites

Effective medium theory for elastic composites Effective medium theory for elastic composites James G. Berryman ABSTRACT The theoretical foundation of a variant on effective medium theories for elastic constants of composites is presented discussed.

More information

CHARACTERIZATION AND DAMAGE EVOLUTION OF S.M.C COMPOSITES MATERIALS BY ULTRASONIC METHOD

CHARACTERIZATION AND DAMAGE EVOLUTION OF S.M.C COMPOSITES MATERIALS BY ULTRASONIC METHOD CHARACTERIZATION AND DAMAGE EVOLUTION OF S.M.C COMPOSITES MATERIALS BY ULTRASONIC METHOD M. SAYARI, D.BAPTISTE, M. BOCQUET AND J.FITOUSSI Laboratoire de Microstructure et Mécanique des Matériaux, URA CNRS

More information

A STRAIN-BASED DAMAGE MECHANICS MODELING FOR WOVEN FABRIC COMPOSITES UNDER BIAXIAL FATIGUE LOADING

A STRAIN-BASED DAMAGE MECHANICS MODELING FOR WOVEN FABRIC COMPOSITES UNDER BIAXIAL FATIGUE LOADING International Journal of Civil Engineering and Technology (IJCIET) Volume 9, Issue 3, March 2018, pp. 282 291, Article ID: IJCIET_09_03_030 Available online at http://http://www.iaeme.com/ijciet/issues.asp?jtype=ijciet&vtype=9&itype=3

More information

Engineering Solid Mechanics

Engineering Solid Mechanics }} Engineering Solid Mechanics 1 (2013) 1-8 Contents lists available at GrowingScience Engineering Solid Mechanics homepage: www.growingscience.com/esm Impact damage simulation in elastic and viscoelastic

More information

Shock wave speed and stress-strain relation of aluminium honeycombs under dynamic compression

Shock wave speed and stress-strain relation of aluminium honeycombs under dynamic compression EPJ Web of Conferences 83, 7 (8) DYMAT 8 https://doi.org/.5/epjconf/8837 Shock wave speed and stress-strain relation of aluminium honeycombs under dynamic compression Peng Wang,*, Jun Zhang, Haiying Huang,

More information

Fracture Mechanics, Damage and Fatigue Linear Elastic Fracture Mechanics - Energetic Approach

Fracture Mechanics, Damage and Fatigue Linear Elastic Fracture Mechanics - Energetic Approach University of Liège Aerospace & Mechanical Engineering Fracture Mechanics, Damage and Fatigue Linear Elastic Fracture Mechanics - Energetic Approach Ludovic Noels Computational & Multiscale Mechanics of

More information

Tensile Fracturing of Stiff Rock Layers under Triaxial Compressive Stre...

Tensile Fracturing of Stiff Rock Layers under Triaxial Compressive Stre... 1 of 11 11/27/2006 8:45 AM Published as: Reches, Z., 1998, Tensile fracturing of stiff rock layers under triaxial compressive stress states, 3 rd NARMS, Mexcio, June, 1998, Int. J. of Rock Mech. & Min.

More information

Aspect Ratio Requirements for Nanotube-Reinforced, Polymer-Matrix Composites

Aspect Ratio Requirements for Nanotube-Reinforced, Polymer-Matrix Composites Aspect Ratio Requirements for Nanotube-Reinforced, Polymer-Matrix Composites J.A.Nairn Wood Science and Engineering, Oregon State University, Corvallis, OR 97330, USA Abstract A fiber s efficiency in a

More information

On the validity of the self-consistent scale transition model for inclusions with varying morphologies

On the validity of the self-consistent scale transition model for inclusions with varying morphologies On the validity of the self-consistent scale transition model for inclusions with varying morphologies Emmanuel Lacoste, Sylvain Fréour, Frédéric Jacquemin To cite this version: Emmanuel Lacoste, Sylvain

More information

LA-UR-01-3491 Approved for public release; distribution is unlimited. Title: APPLYING MICRO-MECHANICS TO FINITE ELEMENT SIMULATIONS OF SPLIT HOPKINSON PRESSURE BAR EXPERIMENTS ON HIGH EXPLOSIVES Author(s):

More information

Bounding of effective thermal conductivities of multiscale materials by essential and natural boundary conditions

Bounding of effective thermal conductivities of multiscale materials by essential and natural boundary conditions PHYSICAL REVIEW B VOLUME 54, NUMBER 1 1 JULY 1996-I Bounding of effective thermal conductivities of multiscale materials by essential and natural boundary conditions M. Ostoja-Starzewski Institute of Paper

More information

Fracture Behaviour of FRP Cross-Ply Laminate With Embedded Delamination Subjected To Transverse Load

Fracture Behaviour of FRP Cross-Ply Laminate With Embedded Delamination Subjected To Transverse Load Fracture Behaviour of FRP Cross-Ply Laminate With Embedded Delamination Subjected To Transverse Load Sriram Chintapalli 1, S.Srilakshmi 1 1 Dept. of Mech. Engg., P. V. P. Siddhartha Institute of Technology.

More information

Methodology for the evaluation of yield strength and hardening behavior of metallic materials by indentation with spherical tip

Methodology for the evaluation of yield strength and hardening behavior of metallic materials by indentation with spherical tip JOURNAL OF APPLIED PHYSICS VOLUME 94, NUMBER 1 1 JULY 2003 Methodology for the evaluation of yield strength and hardening behavior of metallic materials by indentation with spherical tip Dejun Ma Department

More information

HOMOGENIZATION AND UNCERTAINTY ANALYSIS FOR FIBER REINFORCED COMPOSITES

HOMOGENIZATION AND UNCERTAINTY ANALYSIS FOR FIBER REINFORCED COMPOSITES HOMOGENIZATION AND UNCERTAINTY ANALYSIS FOR FIBER REINFORCED COMPOSITES By JINUK KIM A DISSERTATION PRESENTED TO THE GRADUATE SCHOOL OF THE UNIVERSITY OF FLORIDA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS

More information

The e ective electroelastic moduli of textured piezoelectric polycrystalline aggregates

The e ective electroelastic moduli of textured piezoelectric polycrystalline aggregates Journal of the Mechanics and Physics of Solids 48 (000) 59±55 www.elsevier.com/locate/jmps The e ective electroelastic moduli of textured piezoelectric polycrystalline aggregates Jiang Yu Li* Center of

More information