Viscoelastic Structures Mechanics of Growth and Aging
|
|
- Joella Douglas
- 5 years ago
- Views:
Transcription
1 Viscoelastic Structures Mechanics of Growth and Aging Aleksey D. Drozdov Institute for Industrial Mathematics Ben-Gurion University of the Negev Be'ersheba, Israel ACADEMIC PRESS San Diego London Boston New York Sydney Tokyo Toronto
2 Kinematics of Continua 1.1 Basic Definitions and Formulas Description of Motion Tangent Vectors The Nabla Operator Deformation Gradient Deformation Tensors and Strain Tensors Stretch Tensors Relative Deformation Tensors Rigid Motion Generalized Strain Tensors Volume Deformation Deformation of the Surface Element Objective Tensors Velocity Vector and Its Gradient Corotational Derivatives The Rivlin-Ericksen tensors Bibliography Constitutive Models in Linear Viscoelasticity 2.1 Differential Constitutive Models Differential Constitutive Models Fractional Differential Models 2.2 Integral Constitutive Models Boltzmann's Superposition Principle Connections Between Creep and Relaxation Measures A Model of Adaptive Links Spectral Presentation of the Function X(t, т) Three-Dimensional Loading 2.3 Creep and Relaxation Kernels Creep and Relaxation Kernels for Nonaging Media Creep and Relaxation Kernels for Aging Media Properties of Creep and Relaxation Measures
3 Xll Contents 2.4 Thermodynamic Potentials and Variational Principles in Linear Viscoelasticity Thermodynamic Potentials of Aging Viscoelastic Media Variational Principles in Viscoelasticity Gibbs' Principle and the Second Law of Thermodynamics Thermodynamic Inequalities in Linear Viscoelasticity A Model of Adaptive Links for Aging Viscoelastic Media A Model of Adaptive Links Validation of the Model Prediction of Stress-Strain Curves for Time-Varying Loads 93 Bibliography 97 Nonlinear Constitutive Models with Small Strains Nonlinear Differential Models Nonlinear Integral Models Uniaxial Loading Three-Dimensional Loading A Model for Crosslinked Polymers A Model of Adaptive Links Determination of Adjustable Parameters Constitutive Equations for Three-Dimensional Loading Correspondence Principles in Nonlinear Viscoelasticity A Model for Non-Crosslinked Polymers A Model of Adaptive Links A Generalized Model of Adaptive Links Validation of the Model 153 Bibliography 161 Nonlinear Constitutive Models with Finite Strains Differential Constitutive Models The Rivlin-Ericksen Model The Kelvin-Voigt Model The Maxwell Model The Standard Viscoelastic Solid Fractional Differential Models, Fractional Differential Operators with Finite Strains Fractional Differential Models Uniaxial Extension of an Incompressible Bar Radial Deformation of a Spherical Shell Uniaxial Extension of a Compressible Bar Simple Shear of a Compressible Medium Integral Constitutive Models Linear Constitutive Equations Constitutive Equations in the Form of Taylor Series 205
4 Contents хш BKZ-Type Constitutive Equations Semilinear Constitutive Equations A Model of Adaptive Links A Model of Adaptive Links The Lagrange Variational Principle Thermodynamic Stability of a Viscoelastic Medium Constitutive Equations for Incompressible Media Extension of a Viscoelastic Bar A Constitutive Model in Finite Viscoelasticity A Model of Adaptive Links Uniaxial Extension of a Viscoelastic Bar Biaxial Extension of a Viscoelastic Sheet Torsion of a Viscoelastic Cylinder 248 Bibliography 255 Constitutive Relations for Thermoviscoelastic Media Constitutive Models in Thermoviscoelasticity Thermorheologically Simple Media The Proportionality Hypothesis The McCrum Model A Model of Adaptive Links in Thermoviscoelasticity Governing Equations A Refined Model of Adaptive Links Constitutive Models for the Nonisothermal Behavior Constitutive Equations for Isothermal Loading Constitutive Equations for Nonisothermal Loading Three-Dimensional Loading The Standard Thermoviscoelastic Solid Cooling of a Cylindrical Pressure Vessel 313 Bibliography 328 Accretion of Aging Viscoelastic Media with Finite Strains Continuous Accretion of Aging Viscoelastic Media A Model for Continuous Accretion Continuous Accretion of a Viscoelastic Cylinder Continuous Accretion of an Elastoplastic Bar Winding of a Cylindrical Pressure Vessel The Lame Problem for an Accreted Cylinder Winding of a Composite Cylinder with Account for Resin Flow Kinematics of Deformation Governing Equations Accretion on a Rigid Mandrel Accretion with Small Strains 406
5 Contents 6.4 Volumetrie Growth of a Viscoelastic Tissue A Brief Historical Survey Constitutive Equations Compression of a Growing Bar The Lame Problem for a Growing Cylinder 430 Bibliography 436 Accretion of Viscoelastic Media with Small Strains Accretion of a Viscoelastic Conic Pipe Formulation of the Problem Kinematics of Accretion Constitutive Equations Governing Equations (Model 1) Governing Equations (Model 2) Numerical Analysis Accretion of a Viscoelastic Spherical Dome Formulation of the Problem Governing Equations Determination of Preload Displacements in an Accreted Dome Numerical Analysis Debonding of Accreted Viscoelastic Beams Accretion of a Two-Layered Beam Accretion of an Elastic Beam on a Nonlinear Winkler Foundation Torsion of an Accreted Elastoplastic Cylinder Formulation of the Problem Stresses and Strains in a Growing Cylinder Accretion of an Elastic Cylinder An Elastoplastic Cylinder with One Plastic Region An Elastoplastic Cylinder with Two Plastic Regions 509 Bibliography 510 Optimization Problems for Growing Viscoelastic Media An Optimal Rate of Accretion for Viscoelastic Solids Torsion of an Accreted Viscoelastic Cylinder With Small Strains Extension of an Accreted Elastic Bar with Finite Strains Optimal Accretion of an Elastic Column Formulation of the Problem and Governing Equations Optimal Regime of Loading Optimal Regime of Accretion Preload Optimization for a Wound Cylindrical Pressure Vessel Formulation of the Problem and Governing Equations 542
6 Contents Winding of a Nonaging Cylindrical Pressure Vessel Winding of an Aging Cylindrical Pressure Vessel Optimal Design of Growing Beams Formulation of the Problem and Governing Equations Optimal Thickness of a Nonaging Elastic Beam Optimal Thickness of an Aging Elastic Beam Optimal Solidification of a Spherical Pressure Vessel Formulation of the Problem Temperature Distribution Stresses and Displacements Stresses in a Pressure Vessel after Cooling Numerical Analysis 582 Bibliography 589 Index 593
Mechanics of Viscoelastic Solids
Mechanics of Viscoelastic Solids Aleksey D. Drozdov Institute for Industrial Mathematics, Beersheba, Israel JOHN WILEY & SONS Chichester New York Weinheim Brisbane Toronto Singapore Contents Preface xi
More informationThe Finite Element Method for Mechonics of Solids with ANSYS Applicotions
The Finite Element Method for Mechonics of Solids with ANSYS Applicotions ELLIS H. DILL 0~~F~~~~"P Boca Raton London New Vork CRC Press is an imprint 01 the Taylor & Francis Group, an Informa business
More informationContinuum Mechanics and Theory of Materials
Peter Haupt Continuum Mechanics and Theory of Materials Translated from German by Joan A. Kurth Second Edition With 91 Figures, Springer Contents Introduction 1 1 Kinematics 7 1. 1 Material Bodies / 7
More informationMHA042 - Material mechanics: Duggafrågor
MHA042 - Material mechanics: Duggafrågor 1) For a static uniaxial bar problem at isothermal (Θ const.) conditions, state principle of energy conservation (first law of thermodynamics). On the basis of
More informationMECHANICS OF MATERIALS. EQUATIONS AND THEOREMS
1 MECHANICS OF MATERIALS. EQUATIONS AND THEOREMS Version 2011-01-14 Stress tensor Definition of traction vector (1) Cauchy theorem (2) Equilibrium (3) Invariants (4) (5) (6) or, written in terms of principal
More informationNonlinear Problems of Elasticity
Stuart S. Antman Nonlinear Problems of Elasticity With 105 Illustrations Springer-Verlag New York Berlin Heidelberg London Paris Tokyo Hong Kong Barcelona Budapest Contents Preface vn Chapter I. Background
More informationDeformation of Polymers. Version 2.1. Boban Tanovic, MATTER David Dunning, University of North London
Deformation of Polymers Version 2.1 Boban Tanovic, MATTER David Dunning, University of North London Assumed Pre-knowledge It is assumed that the user is familiar with the terms elasticity, stress, strain,
More informationThe Non-Linear Field Theories of Mechanics
С. Truesdell-W.Noll The Non-Linear Field Theories of Mechanics Second Edition with 28 Figures Springer-Verlag Berlin Heidelberg NewYork London Paris Tokyo Hong Kong Barcelona Budapest Contents. The Non-Linear
More informationFINITE ELEMENT ANALYSIS OF COMPOSITE MATERIALS
FINITE ELEMENT ANALYSIS OF COMPOSITE MATERIALS Ever J. Barbero Department of Mechanical and Aerospace Engineering West Virginia University USA CRC Press Taylor &.Francis Group Boca Raton London New York
More informationLinear viscoelastic behavior
Harvard-MIT Division of Health Sciences and Technology HST.523J: Cell-Matrix Mechanics Prof. Ioannis Yannas Linear viscoelastic behavior 1. The constitutive equation depends on load history. 2. Diagnostic
More informationThe Finite Element Method for the Analysis of Non-Linear and Dynamic Systems. Prof. Dr. Eleni Chatzi Lecture ST1-19 November, 2015
The Finite Element Method for the Analysis of Non-Linear and Dynamic Systems Prof. Dr. Eleni Chatzi Lecture ST1-19 November, 2015 Institute of Structural Engineering Method of Finite Elements II 1 Constitutive
More informationMITOCW MITRES2_002S10nonlinear_lec15_300k-mp4
MITOCW MITRES2_002S10nonlinear_lec15_300k-mp4 The following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare continue to offer high quality educational resources
More informationVISCOELASTIC PROPERTIES OF POLYMERS
VISCOELASTIC PROPERTIES OF POLYMERS John D. Ferry Professor of Chemistry University of Wisconsin THIRD EDITION JOHN WILEY & SONS New York Chichester Brisbane Toronto Singapore Contents 1. The Nature of
More informationFrequently Asked Questions
Frequently Asked Questions Why do we have to make the assumption that plane sections plane? How about bars with non-axis symmetric cross section? The formulae derived look very similar to beam and axial
More informationBifurcation Analysis in Geomechanics
Bifurcation Analysis in Geomechanics I. VARDOULAKIS Department of Engineering Science National Technical University of Athens Greece and J. SULEM Centre d'enseignement et de Recherche en Mecanique des
More informationMechanical Engineering Ph.D. Preliminary Qualifying Examination Solid Mechanics February 25, 2002
student personal identification (ID) number on each sheet. Do not write your name on any sheet. #1. A homogeneous, isotropic, linear elastic bar has rectangular cross sectional area A, modulus of elasticity
More informationUSE OF A LINEAR VISCOELASTIC CONSTITUTIVE LAW TO MODEL THE TIME DEPENDENT BEHAVIOUR OF ORTHOTROPIC GLASSFIBRE REINFORCED PLASTIC
USE OF A LINEAR VISCOELASTIC CONSTITUTIVE LAW TO MODEL THE TIME DEPENDENT BEHAVIOUR OF ORTHOTROPIC GLASSFIBRE REINFORCED PLASTIC Roland. M. Hinterhoelzl 1, Guenther Schullerer 1, Kurt Moser 1 1 Institut
More information06 - kinematic equations kinematic equations
06 - - 06-1 continuum mechancis continuum mechanics is a branch of physics (specifically mechanics) that deals with continuous matter. the fact that matter is made of atoms and that it commonly has some
More informationWave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media
SECTION I. SEISMIC EXPLORATION Volume 38 WAVE FIELDS IN REAL MEDIA: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media (SECOND EDITION, REVISED AND EXTENDED) by Jose M. CARCIONE
More informationLecture 7 Constitutive Behavior of Asphalt Concrete
Lecture 7 Constitutive Behavior of Asphalt Concrete What is a Constitutive Model? A constitutive model or constitutive equation is a relation between two physical quantities that is specific to a material
More informationA FAILURE CRITERION FOR POLYMERS AND SOFT BIOLOGICAL MATERIALS
Material Technology A FALURE CRTERON FOR POLYMERS AND SOFT BOLOGCAL MATERALS Authors: William W. Feng John O. Hallquist Livermore Software Technology Corp. 7374 Las Positas Road Livermore, CA 94550 USA
More informationTable of Contents. Preface...xvii. Part 1. Level
Preface...xvii Part 1. Level 1... 1 Chapter 1. The Basics of Linear Elastic Behavior... 3 1.1. Cohesion forces... 4 1.2. The notion of stress... 6 1.2.1. Definition... 6 1.2.2. Graphical representation...
More informationLectures on. Constitutive Modelling of Arteries. Ray Ogden
Lectures on Constitutive Modelling of Arteries Ray Ogden University of Aberdeen Xi an Jiaotong University April 2011 Overview of the Ingredients of Continuum Mechanics needed in Soft Tissue Biomechanics
More informationTheory of Elasticity. <gl Spri ringer. and Thermal Stresses. Explanations, Problems and Solutions. Jozef Ignaczak. Naotake Noda Yoshinobu Tanigawa
M. Reza Eslami Richard B. Hetnarski Jozef Ignaczak Naobumi Sumi Naotake Noda Yoshinobu Tanigawa Theory of Elasticity and Thermal Stresses Explanations, Problems and Solutions
More informationNon-Linear Finite Element Methods in Solid Mechanics Attilio Frangi, Politecnico di Milano, February 17, 2017, Lesson 5
Non-Linear Finite Element Methods in Solid Mechanics Attilio Frangi, attilio.frangi@polimi.it Politecnico di Milano, February 17, 2017, Lesson 5 1 Politecnico di Milano, February 17, 2017, Lesson 5 2 Outline
More informationThe Finite Element Method II
[ 1 The Finite Element Method II Non-Linear finite element Use of Constitutive Relations Xinghong LIU Phd student 02.11.2007 [ 2 Finite element equilibrium equations: kinematic variables Displacement Strain-displacement
More informationCourse Syllabus: Continuum Mechanics - ME 212A
Course Syllabus: Continuum Mechanics - ME 212A Division Course Number Course Title Academic Semester Physical Science and Engineering Division ME 212A Continuum Mechanics Fall Academic Year 2017/2018 Semester
More informationELASTOPLASTICITY 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 informationSimulation of the mechanical behavior of a rubber pumping system under large deformations.
Simulation of the mechanical behavior of a rubber pumping system under large deformations. Author: Ing. Andrea Romeo LPA Consorzio per la promozione della cultura plastica Proplast Str. Comunale Savonesa,
More informationINTRODUCTION TO THE EXPLICIT FINITE ELEMENT METHOD FOR NONLINEAR TRANSIENT DYNAMICS
INTRODUCTION TO THE EXPLICIT FINITE ELEMENT METHOD FOR NONLINEAR TRANSIENT DYNAMICS SHEN R. WU and LEI GU WILEY A JOHN WILEY & SONS, INC., PUBLICATION ! PREFACE xv PARTI FUNDAMENTALS 1 1 INTRODUCTION 3
More informationThe Finite Element Method for Solid and Structural Mechanics
The Finite Element Method for Solid and Structural Mechanics Sixth edition O.C. Zienkiewicz, CBE, FRS UNESCO Professor of Numerical Methods in Engineering International Centre for Numerical Methods in
More informationWave Propagation Through Soft Tissue Matter
Wave Propagation Through Soft Tissue Matter Marcelo Valdez and Bala Balachandran Center for Energetic Concepts Development Department of Mechanical Engineering University of Maryland College Park, MD 20742-3035
More informationCOSSERAT THEORIES: SHELLS, RODS AND POINTS
COSSERAT THEORIES: SHELLS, RODS AND POINTS SOLID MECHANICS AND ITS APPLICATIONS Volume 79 Series Editor: G.M.L. GLADWELL Department of Civil Engineering University of Waterloo Waterloo, Ontario, Canada
More informationRobert Seeley. University of Massachusetts at Boston. ini HARCOURT BRACE JOVANOVICH, PUBLISHERS. and its subsidiary, Academic Press
L MMH^^S^^^K Robert Seeley University of Massachusetts at Boston ini Qf HARCOURT BRACE JOVANOVICH, PUBLISHERS and its subsidiary, Academic Press San Diego New York Chicago Austin Washington, D.C. London
More informationCOPYRIGHTED MATERIAL. Index
Index A Admissible function, 163 Amplification factor, 36 Amplitude, 1, 22 Amplitude-modulated carrier, 630 Amplitude ratio, 36 Antinodes, 612 Approximate analytical methods, 647 Assumed modes method,
More informationNonlinear Theory of Elasticity. Dr.-Ing. Martin Ruess
Nonlinear Theory of Elasticity Dr.-Ing. Martin Ruess geometry description Cartesian global coordinate system with base vectors of the Euclidian space orthonormal basis origin O point P domain of a deformable
More informationUse of Elastic Constitutive Relations in Total Lagrangian Formulation
Topic 15 Use of Elastic Constitutive Relations in Total Lagrangian Formulation Contents: Basic considerations in modeling material response Linear and nonlinear elasticity Isotropic and orthotropic materials
More informationCHAPTER THREE SYMMETRIC BENDING OF CIRCLE PLATES
CHAPTER THREE SYMMETRIC BENDING OF CIRCLE PLATES * Governing equations in beam and plate bending ** Solution by superposition 1.1 From Beam Bending to Plate Bending 1.2 Governing Equations For Symmetric
More informationAbvanced Lab Course. Dynamical-Mechanical Analysis (DMA) of Polymers
Abvanced Lab Course Dynamical-Mechanical Analysis (DMA) of Polymers M211 As od: 9.4.213 Aim: Determination of the mechanical properties of a typical polymer under alternating load in the elastic range
More informationContents. I Introduction 1. Preface. xiii
Contents Preface xiii I Introduction 1 1 Continuous matter 3 1.1 Molecules................................ 4 1.2 The continuum approximation.................... 6 1.3 Newtonian mechanics.........................
More informationRHEOLOGY Principles, Measurements, and Applications. Christopher W. Macosko
RHEOLOGY Principles, Measurements, and Applications I -56081-5'79~5 1994 VCH Publishers. Inc. New York Part I. CONSTITUTIVE RELATIONS 1 1 l Elastic Solid 5 1.1 Introduction 5 1.2 The Stress Tensor 8 1.2.1
More informationPlasticity R. Chandramouli Associate Dean-Research SASTRA University, Thanjavur
Plasticity R. Chandramouli Associate Dean-Research SASTRA University, Thanjavur-613 401 Joint Initiative of IITs and IISc Funded by MHRD Page 1 of 9 Table of Contents 1. Plasticity:... 3 1.1 Plastic Deformation,
More information202 Index. failure, 26 field equation, 122 force, 1
Index acceleration, 12, 161 admissible function, 155 admissible stress, 32 Airy's stress function, 122, 124 d'alembert's principle, 165, 167, 177 amplitude, 171 analogy, 76 anisotropic material, 20 aperiodic
More informationRHEOLOGY & LINEAR ELASTICITY. B Importance of fluids and fractures in deformation C Linear elasticity for homogeneous isotropic materials
GG303 Lecture 2 0 9/4/01 1 RHEOLOGY & LINEAR ELASTICITY I II Main Topics A Rheology: Macroscopic deformation behavior B Importance of fluids and fractures in deformation C Linear elasticity for homogeneous
More informationChapter 3. Load and Stress Analysis
Chapter 3 Load and Stress Analysis 2 Shear Force and Bending Moments in Beams Internal shear force V & bending moment M must ensure equilibrium Fig. 3 2 Sign Conventions for Bending and Shear Fig. 3 3
More informationUnderstanding Frequency Domain Viscoelasticity in Abaqus
Paper # 12 Understanding Frequency Domain Viscoelasticity in Abaqus By Saurabh Bahuguna, Randy Marlow*, and Tod Dalrymple Dassault Systèmes Simulia Corp., Great Lakes Region Presented at the Fall 172 nd
More informationLecture 1 NONLINEAR ELASTICITY
Lecture 1 NONLINEAR ELASTICITY Soft-Matter Engineering: Mechanics, Design, & Modeling Mechanics Rigid/Hard Systems bending or torsion (but not stretching) small strains (~0.1% metals; ~1% plastics) linearized
More informationUniversity Graz / Austria Institut für Chemie Volker Ribitsch
University Graz / Austria Institut für Chemie Volker Ribitsch 1 Rheology Oscillatory experiments Dynamic experiments Deformation of materials under non-steady conditions in the linear viscoelastic range
More informationin this web service Cambridge University Press
CONTINUUM MECHANICS This is a modern textbook for courses in continuum mechanics. It provides both the theoretical framework and the numerical methods required to model the behavior of continuous materials.
More informationFinite Elements for Large Strains - A double mixed (M 2 ) Formulation
Finite Elements for Large Strains - A double mixed (M 2 ) Formulation Motivation Development of user friendly elements robustness simple treatment of incompressible materials complex geometries geometrical
More informationLecture #6: 3D Rate-independent Plasticity (cont.) Pressure-dependent plasticity
Lecture #6: 3D Rate-independent Plasticity (cont.) Pressure-dependent plasticity by Borja Erice and Dirk Mohr ETH Zurich, Department of Mechanical and Process Engineering, Chair of Computational Modeling
More informationA Notes Formulas. This chapter is composed of 15 double pages which list, with commentaries, the results for:
The modeling process is a key step of conception. First, a crude modeling allows to validate (or not) the concept and identify the best combination of properties that maximize the performances. Then, a
More informationTheory of Plasticity. Lecture Notes
Theory of Plasticity Lecture Notes Spring 2012 Contents I Theory of Plasticity 1 1 Mechanical Theory of Plasticity 2 1.1 Field Equations for A Mechanical Theory.................... 2 1.1.1 Strain-displacement
More informationIndex. Boundary integral method, 27 Boundary location method, 255 Brinkman number, 14, 158
Index ABFIND,275 Adaptive control, 304, 312 Adaptive process model, 315 Air drag, 221 Alternating Direction Implicit (ADI) technique, 30 Axisymmetric flow, 48 die entry, 58 Boundary integral method, 27
More informationEarthquake and Volcano Deformation
Earthquake and Volcano Deformation Paul Segall Stanford University Draft Copy September, 2005 Last Updated Sept, 2008 COPYRIGHT NOTICE: To be published by Princeton University Press and copyrighted, c
More informationTheoretical Manual Theoretical background to the Strand7 finite element analysis system
Theoretical Manual Theoretical background to the Strand7 finite element analysis system Edition 1 January 2005 Strand7 Release 2.3 2004-2005 Strand7 Pty Limited All rights reserved Contents Preface Chapter
More informations ij = 2ηD ij σ 11 +σ 22 +σ 33 σ 22 +σ 33 +σ 11
Plasticity http://imechanicaorg/node/17162 Z Suo NONLINEAR VISCOSITY Linear isotropic incompressible viscous fluid A fluid deforms in a homogeneous state with stress σ ij and rate of deformation The mean
More informationVIBRATION PROBLEMS IN ENGINEERING
VIBRATION PROBLEMS IN ENGINEERING FIFTH EDITION W. WEAVER, JR. Professor Emeritus of Structural Engineering The Late S. P. TIMOSHENKO Professor Emeritus of Engineering Mechanics The Late D. H. YOUNG Professor
More informationDEFORMATION THEORY OF PLASTICITY
DEFORMATION THEORY OF PLASTICITY ROBERT M. JONES Professor Emeritus of Engineering Science and Mechanics Virginia Polytechnic Institute and State University Blacksburg, Virginia 240610219 Bull Ridge Publishing
More informationCourse No: (1 st version: for graduate students) Course Name: Continuum Mechanics Offered by: Chyanbin Hwu
Course No: (1 st version: for graduate students) Course Name: Continuum Mechanics Offered by: Chyanbin Hwu 2011. 11. 25 Contents: 1. Introduction 1.1 Basic Concepts of Continuum Mechanics 1.2 The Need
More informationMechanical Properties of Polymers. Scope. MSE 383, Unit 3-1. Joshua U. Otaigbe Iowa State University Materials Science & Engineering Dept.
Mechanical Properties of Polymers Scope MSE 383, Unit 3-1 Joshua U. Otaigbe Iowa State University Materials Science & Engineering Dept. Structure - mechanical properties relations Time-dependent mechanical
More informationReference material Reference books: Y.C. Fung, "Foundations of Solid Mechanics", Prentice Hall R. Hill, "The mathematical theory of plasticity",
Reference material Reference books: Y.C. Fung, "Foundations of Solid Mechanics", Prentice Hall R. Hill, "The mathematical theory of plasticity", Oxford University Press, Oxford. J. Lubliner, "Plasticity
More informationDetermination of Mechanical Properties of Elastomers Using Instrumented Indentation
Determination of Mechanical Properties of Elastomers Using Instrumented Indentation, Antonios E. Giannakopoulos and Dimitrios Bourntenas University of Thessaly, Department of Civil Engineering, Volos 38334,
More informationContinuum Mechanics. Continuum Mechanics and Constitutive Equations
Continuum Mechanics Continuum Mechanics and Constitutive Equations Continuum mechanics pertains to the description of mechanical behavior of materials under the assumption that the material is a uniform
More informationAn overview of Carbon Fiber modeling in LS-DYNA. John Zhao October 23 th 2017
An overview of Carbon Fiber modeling in LS-DYNA John Zhao zhao@lstc.com October 23 th 2017 Outline Manufacturing of Carbon Fiber Compression molding *MAT_277 & 278 *MAT_293 *MAT_249 Resin transform molding
More information(MPa) compute (a) The traction vector acting on an internal material plane with normal n ( e1 e
EN10: Continuum Mechanics Homework : Kinetics Due 1:00 noon Friday February 4th School of Engineering Brown University 1. For the Cauchy stress tensor with components 100 5 50 0 00 (MPa) compute (a) The
More informationThe Influence of Strain Amplitude, Temperature and Frequency on Complex Shear Moduli of Polymer Materials under Kinematic Harmonic Loading
Mechanics and Mechanical Engineering Vol. 21, No. 1 (2017) 157 170 c Lodz University of Technology The Influence of Strain Amplitude, Temperature and Frequency on Complex Shear Moduli of Polymer Materials
More informationOn Mooney-Rivlin Constants for Elastomers
th International LS-DYNA Users Conference Constitutive Modeling() On Mooney-ivlin Constants for Elastomers The Mooney-ivlin constitutive equation for rubber is W C I C I 3 3 William W. Feng John O. Hallquist
More informationINDEX 363. Cartesian coordinates 19,20,42, 67, 83 Cartesian tensors 84, 87, 226
INDEX 363 A Absolute differentiation 120 Absolute scalar field 43 Absolute tensor 45,46,47,48 Acceleration 121, 190, 192 Action integral 198 Addition of systems 6, 51 Addition of tensors 6, 51 Adherence
More informationContact, Adhesion and Rupture of Elastic Solids
D. Maugis Contact, Adhesion and Rupture of Elastic Solids With 186 Figures Springer Contents г 1. Elements of Surface Physics 1 1.1 Introduction 1 1.2 Van der Waals Forces Between Molecules 3 1.2.1 The
More informationTesting and Analysis
Testing and Analysis Testing Elastomers for Hyperelastic Material Models in Finite Element Analysis 2.6 2.4 2.2 2.0 1.8 1.6 1.4 Biaxial Extension Simple Tension Figure 1, A Typical Final Data Set for Input
More informationAn Introduction to the Finite Element Method
An Introduction to the Finite Element Method Third Edition J. N. REDDY Department 01 Mechanical Engineering Texas A&M University College Station, Texas, USA 77843 11 Boston Burr Ridge, IL Dubuque, IA Madison,
More informationConstitutive models: Incremental plasticity Drücker s postulate
Constitutive models: Incremental plasticity Drücker s postulate if consistency condition associated plastic law, associated plasticity - plastic flow law associated with the limit (loading) surface Prager
More informationConstitutive models: Incremental (Hypoelastic) Stress- Strain relations. and
Constitutive models: Incremental (Hypoelastic) Stress- Strain relations Example 5: an incremental relation based on hyperelasticity strain energy density function and 14.11.2007 1 Constitutive models:
More informationDetailed Outline, M E 521: Foundations of Fluid Mechanics I
Detailed Outline, M E 521: Foundations of Fluid Mechanics I I. Introduction and Review A. Notation 1. Vectors 2. Second-order tensors 3. Volume vs. velocity 4. Del operator B. Chapter 1: Review of Basic
More informationModule 3 : Equilibrium of rods and plates Lecture 15 : Torsion of rods. The Lecture Contains: Torsion of Rods. Torsional Energy
The Lecture Contains: Torsion of Rods Torsional Energy This lecture is adopted from the following book 1. Theory of Elasticity, 3 rd edition by Landau and Lifshitz. Course of Theoretical Physics, vol-7
More information1. Background. is usually significantly lower than it is in uniaxial tension
NOTES ON QUANTIFYING MODES OF A SECOND- ORDER TENSOR. The mechanical behavior of rocks and rock-like materials (concrete, ceramics, etc.) strongly depends on the loading mode, defined by the values and
More informationEngineering 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 informationUSING A HOMOGENIZATION PROCEDURE FOR PREDICTION OF MATERIAL PROPERTIES AND THE IMPACT RESPONSE OF UNIDIRECTIONAL COMPOSITE
Volume II: Fatigue, Fracture and Ceramic Matrix Composites USING A HOMOGENIZATION PROCEDURE FOR PREDICTION OF MATERIAL PROPERTIES AND THE IMPACT RESPONSE OF UNIDIRECTIONAL COMPOSITE A. D. Resnyansky and
More informationAdvanced Simulation of Sealings CADFEM GmbH Rainer Rauch
Advanced Simulation of Sealings CADFEM GmbH Rainer Rauch Recent developments in ANSYS V12 for the simulation of sealings Element technology Material models Contact Robust design and optimization -1- New
More informationERM - Elasticity and Strength of Materials
Coordinating unit: Teaching unit: Academic year: Degree: ECTS credits: 2018 205 - ESEIAAT - Terrassa School of Industrial, Aerospace and Audiovisual Engineering 712 - EM - Department of Mechanical Engineering
More informationGlossary. Glossary of Symbols. Glossary of Roman Symbols Glossary of Greek Symbols. Contents:
Glossary Glossary of Symbols Contents: Glossary of Roman Symbols Glossary of Greek Symbols Glossary G-l Glossary of Roman Symbols The Euclidean norm or "two-norm." For a vector a The Mooney-Rivlin material
More informationEMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 2 Stress & Strain - Axial Loading
MA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 2 Stress & Strain - Axial Loading MA 3702 Mechanics & Materials Science Zhe Cheng (2018) 2 Stress & Strain - Axial Loading Statics
More informationConstitutive Model for High Density Polyethylene to Capture Strain Reversal
Constitutive Model for High Density Polyethylene to Capture Strain Reversal Abdul Ghafar Chehab 1 and Ian D. Moore 2 1 Research Assistant, GeoEngineering Centre at Queen s RMC, Queen s University, Kingston,
More informationOther state variables include the temperature, θ, and the entropy, S, which are defined below.
Chapter 3 Thermodynamics In order to complete the formulation we need to express the stress tensor T and the heat-flux vector q in terms of other variables. These expressions are known as constitutive
More informationContinuum mechanics V. Constitutive equations. 1. Constitutive equation: definition and basic axioms
Continuum mechanics office Math 0.107 ales.janka@unifr.ch http://perso.unifr.ch/ales.janka/mechanics Mars 16, 2011, Université de Fribourg 1. Constitutive equation: definition and basic axioms Constitutive
More informationD : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each.
GTE 2016 Q. 1 Q. 9 carry one mark each. D : SOLID MECHNICS Q.1 single degree of freedom vibrating system has mass of 5 kg, stiffness of 500 N/m and damping coefficient of 100 N-s/m. To make the system
More informationLecture 5. Rheology. Earth Structure (2 nd Edition), 2004 W.W. Norton & Co, New York Slide show by Ben van der Pluijm
Lecture 5 Rheology Earth Structure (2 nd Edition), 2004 W.W. Norton & Co, New York Slide show by Ben van der Pluijm WW Norton; unless noted otherwise Rheology is... the study of deformation and flow of
More informationPHYSICS LECTURES ON. 'ftt/tatt DEFINITIVE EDITION VOLUME II FEYNMAN LEIGHTON SANDS. Addison Wesley PEARSON
'ftt/tatt LECTURES ON PHYSICS DEFINITIVE EDITION FEYNMAN LEIGHTON SANDS PEARSON Addison Wesley San Francisco Boston New York CapeTown Hong Kong London Madrid MexicoCity Montreal Munich Paris Singapore
More informationCalculation of Thick-walled Shell Taking into Account Nonlinearity and Temperature Inhomogeneity of the Concrete at Subzero Temperatures
2017 Asia-Pacific Engineering and Technology Conference (APETC 2017) ISBN: 978-1-60595-443-1 Calculation of Thick-walled Shell Taking into Account Nonlinearity and Temperature Inhomogeneity of the Concrete
More informationPredeformation and frequency-dependence : Experiment and FE analysis
Predeformation and frequency-dependence : Experiment and FE analysis Nidhal Jridi 1,2,*, Michelle Salvia 2, Adel Hamdi 1, Olivier Bareille 2, Makrem Arfaoui 1, Mohammed Ichchou 2, Jalel Ben Abdallah 1
More informationSimulation of Thermomechanical Couplings of Viscoelastic Materials
Simulation of Thermomechanical Couplings of Viscoelastic Materials Frank Neff 1, Thomas Miquel 2, Michael Johlitz 1, Alexander Lion 1 1 Institute of Mechanics Faculty for Aerospace Engineering Universität
More informationSEMM Mechanics PhD Preliminary Exam Spring Consider a two-dimensional rigid motion, whose displacement field is given by
SEMM Mechanics PhD Preliminary Exam Spring 2014 1. Consider a two-dimensional rigid motion, whose displacement field is given by u(x) = [cos(β)x 1 + sin(β)x 2 X 1 ]e 1 + [ sin(β)x 1 + cos(β)x 2 X 2 ]e
More informationMechanical Principles
Unit 4: Mechanical Principles Unit code: F/601/1450 QCF level: 5 Credit value: 15 Aim This unit aims to develop learners understanding of an extended range of mechanical principles that underpin the design
More informationCharacterizing Nonlinear Viscoelastic Response of Asphaltic Materials
Characterizing Nonlinear Viscoelastic Response of Asphaltic Materials University of Texas at Austin Amit Bhasin Arash May, Motamed 21 Computational models of asphalt composites are increasingly being used
More informationTENSILE TESTS (ASTM D 638, ISO
MODULE 4 The mechanical properties, among all the properties of plastic materials, are often the most important properties because virtually all service conditions and the majority of end-use applications
More information03 - kinematic equations - large deformations and growth
03 - - large deformations and growth 03-1 where are we??? 2 final projects - me337 2010 mechanically driven growth of skin: chris, adrian, xuefeng muscle growth: brandon, robyn, esteban, ivan, jenny cardiac
More informationChapter 1 Fluid Characteristics
Chapter 1 Fluid Characteristics 1.1 Introduction 1.1.1 Phases Solid increasing increasing spacing and intermolecular liquid latitude of cohesive Fluid gas (vapor) molecular force plasma motion 1.1.2 Fluidity
More informationDamping: Hysteretic Damping and Models. H.T. Banks and G.A. Pinter
Damping: Hysteretic Damping and Models H.T. Banks and G.A. Pinter Center for Research in Scientic Computation, North Carolina State University, Raleigh, N.C. USA Denition of Hysteretic Damping Vibrational
More informationRHEOLOGY & LINEAR ELASTICITY
GG303 Lecture 20 10/25/09 1 RHEOLOGY & LINEAR ELASTICITY I Main Topics A Rheology: Macroscopic deformation behavior B Importance of fluids and fractures in deformation C Linear elasticity for homogeneous
More information