CIRCUIT RACING, TRACK TEXTURE, TEMPERATURE AND RUBBER FRICTION. Robin Sharp, Patrick Gruber and Ernesto Fina
|
|
- Merilyn Porter
- 5 years ago
- Views:
Transcription
1 CIRCUIT RACING, TRACK TEXTURE, TEMPERATURE AND RUBBER FRICTION Robin Sharp, Patrick Gruber and Ernesto Fina
2 Outline General observations Grosch's experiments Interpretation of Grosch s results Rubber properties Persson's hysteresis-loss theory Persson's theory versus Grosch's results Conclusions
3 General observations Importance of tyre shear forces Forces depend on friction between rubber and road Racing demands the maximum possible forces Forces are functions of - normal load surface nature and texture rubber compound rubber temperature surface temperature sliding speed
4 Observations from motor racing Track surfaces not all the same Green tracks get faster with usage Rubber B often grips rubber A poorly Rain on a used track affects the racing line New tyres grip well for a short time Higher friction tyres have shorter lives Rubber and road temperatures are vital
5 The focus Now - how does rubber friction work? Later how does rubber friction relate to tyre/road interactions?
6 Grosch s experiments Flat rubber blocks loaded against smooth (wavy glass) and rough (silicon carbide) surfaces 4 compounds Sliding under constant normal load Low velocities to avoid heating Temperature control -50 C to 100 C Sliding speed and friction force measurements
7 Grosch s experiments temperature regulated box F z loading by weights 4 compounds: INR, ABR, SBR, Butyl friction force V moving surface stationary rubber block energy dissipation by adhesion and/or deformation
8 Grosch measurements; 4 compounds; INR, ABR, SBR, Butyl speed-controlled motor temperature controlled enclosure emery cloth liquid flow loading on test rubber block force measurement
9 Lorenz experiments (2011) Equivalence of energy dissipation and friction force
10 Grosch results for INR on silicon carbide (left) and for ABR on glass (right) Friction coefficient T = 85 to 20 0 C T = -40 to C T = 90 to C T = 10 to C Log(V/V ref ) V ref = 1 cm/s Log(V/V ref ) V ref = 1 cm/s
11 Temperature frequency / sliding speed equivalence Rubber state depends on temperature relative to glass-transition temperature, T g Standard temperature, T s T g C Williams Landel Ferry (WLF) normalisation to T s ; plot a T ω or a T V (not ω or V), where log 10 a T 8.86 T T T S T S
12 Grosch master curves Combining temperature and sliding velocity by WLF transform gives master curve for ABR on glass; 2 T range: -15 C to 80 C Results for different temperatures, T 2 T-compensated results C 0 WLF transform re (1 cm/s) re (1 cm/s) log 10 a T 8.86 T TS T T S
13 Grosch master curves for SBR at 20 0 C on glass and silicon carbide friction coefficient on glass adhesion deformation on silicon carbide on powdered silicon carbide Log[a T V/V ref ] V ref = 1 cm/s
14 Grosch master curves for ABR at 20 0 C on glass and silicon carbide friction coefficient on polished stainless steel on glass on silicon carbide on powdered silicon carbide Log[a T V/V ref ] V ref = 1 cm/s
15 Grosch master curves for Butyl at 20 0 C on glass and silicon carbide friction coefficient on silicon carbide on glass on powdered silicon carbide Log[a T V/V ref ] V ref = 1 cm/s
16 Rubber vibration testing commercial analyser close-up
17 Rubber vibration properties ω LMP G(ω) = G (ω)+jg (ω) tan(δ) = G (ω)/g (ω) ω LTP
18 SBR elasticity at constant temperature maximum loss modulus at ω LMP maximum ratio at ω LTP 18
19 Non-linearity (Lorenz) small strain large strain Amplitude dependence of storage (upper) and loss (lower) moduli large strain
20 Non-linearity (Westermann) storage modulus carbon black filler
21 Adhesion mechanism Smooth surface peak due to adhesion Rubber bonds to road; bonds stretch and break All 4 rubbers, V SP 6e-9 ω LMP /(2π) m/s Characteristic length, 6e-9 m - molecular If bonds break at this stretch, rubber is forced at ω LMP when V=V SP
22 Deformation mechanism Rough surface peak due to deformation All 4 rubbers, V RP 1.5e-4 ω LTP /(2π) m/s Characteristic length, 1.5e-4 m, close to mean particle spacing in the surface If wavelength is 1.5e-4 m, rubber is forced at ω LTP when V=V RP V SP /V RP =6e-9 ω LMP /1.5e-4 ω LTP If ω LMP and ω LTP are wide apart, adhesion and deformation peaks are close
23 Persson s deformation ideas - simple (1) sinusoidal surface; waves normal to sliding (2) rubber deformation from linear elastic theory (3) calculate energy dissipation for given sliding speed wavelength and speed give ω temperature gives rubber visco-elastic properties expect maximal energy loss at ω = ω LTP stationary rubber simple surface sliding speed, V
24 Persson s deformation ideas - complex (1) isotropic surface (2) conformity to short waves depends on long waves (3) accounting for (1) and (2), integrate energy-loss contributions from all wavenumbers from q L to q 1 q L non-critical, q 1 needs estimating divide power by V to get shear force; hence μ stationary rubber complex surface λ 0 sliding speed, V
25 Persson s deformation theory
26 Persson s notation μ, friction coefficient C(q), road spectral density function P(q), contact area ratio actual/nominal q L, q 1, wavenumbers for longest and shortest waves T q, temperature E, rubber complex elastic modulus;, Poisson s ratio v, sliding velocity σ 0, nominal normal stress
27 Silicon carbide 180 mesh measured displacement spectrum
28 SBRubber properties at 20 0 C
29 Simulated friction master curves
30 Reconstructed rubber properties
31 Simulated friction master curve
32 Summary and conclusion (1) Smooth surface friction - adhesion, not understood, wide open Rough surface friction - deformation Persson s hysteresis mechanics plausible Rubber treated as linear viscoelastic Amplitude dependence Which properties to use?
33 Summary and conclusion (2) Surface represented by displacement spectrum in range q L to q 1 q L non-critical, q 1 uncertain, influenced by cleanliness and debris Which q 1 to use?
34 Summary and conclusion (3) With favourable treatment, rough-surface friction peak realistic with respect to Grosch Below peak, adhesion can account for differences Above peak, predicted friction falls too much as sliding speed increases
35 Summary and conclusion (4) In racing, rubbering-in involves transfer of rubber to road Surface on racing line becomes smoother and chemistry changes Contact area will increase and adhesion will increase for same compounds Deformation friction will reduce Racing line friction is enhanced but if it rains, adhesion is impeded - best line changes
36 Reference E. Fina, P. Gruber and R. S. Sharp, Hysteretic rubber friction: Application of Persson s theories to Grosch s experimental results, ASME Journal of Applied Mechanics Vol. 81, No 12, December 2014.
Rubber Friction and Tire Dynamics:
Mitglied der Helmholtz-Gemeinschaft Rubber Friction and Tire Dynamics: A Comparison of Theory with Experimental Data 21. April 2015 Boris Lorenz Bo Persson Motivation Tire models are often used to simulate
More informationA MECHANICAL MODEL FOR THE DYNAMICAL CONTACT OF ELASTIC ROUGH BODIES WITH VISCOELASTIC PROPERTIES
11 th International Conference on Engineering Vibration Ljubljana, Slovenia, 7 10 September 2015 A MECHANICAL MODEL FOR THE DYNAMICAL CONTACT OF ELASTIC ROUGH BODIES WITH VISCOELASTIC PROPERTIES Frank
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 informationFriction of Extensible Strips: an Extended Shear Lag Model with Experimental Evaluation
Friction of Extensible Strips: an Extended Shear Lag Model with Experimental Evaluation Ahmad R. Mojdehi 1, Douglas P. Holmes 2, Christopher B. Williams 3, Timothy E. Long 4, David A. Dillard 1 1 Department
More informationTheoretical prediction of hysteretic rubber friction in ball on plate configuration by finite element method
express Polymer Letters Vol.3, No.11 (009) 713 73 Available online at www.expresspolymlett.com DOI: 10.3144/expresspolymlett.009.89 Theoretical prediction of hysteretic rubber friction in ball on plate
More informationOn the Friction of Carbon Black- and Silica-Reinforced BR and S-SBR Elastomers
Tribol Lett (2014) 54:297 308 DOI 10.1007/s11249-014-0334-z ORIGINAL PAPER On the Friction of Carbon Black- and Silica-Reinforced BR and S-SBR Elastomers Milad Mokhtari Dirk J. Schipper Tetyana V. Tolpekina
More informationA CRITERION OF TENSILE FAILURE FOR HYPERELASTIC MATERIALS AND ITS APPLICATION TO VISCOELASTIC-VISCOPLASTIC MATERIALS
MTS ADHESIVES PROGRAMME 1996-1999 PERFORMANCE OF ADHESIVE JOINTS Project: PAJ1; Failure Criteria and their Application to Visco-Elastic/Visco-Plastic Materials Report 2 A CRITERION OF TENSILE FAILURE FOR
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 informationFigure 1. Dimension of PSA in face paper laminate
EVALUATION OF DYNAMIC MECHANICAL PROPERTIES OF PRESSURE SENSITIVE ADHESIVE IN PAPER LANIMATES FOR POSTAGE STAMP APPLICATION: METHOD DEVELOPMENT AND ADHESIVE CHARACTERIZATION Hailing Yang, Graduate Student,
More informationD Y N A M I C M E C H A N I C A L A N A L Y S I S A N D I T S A D V A N T A G E S O V E R D E F L E C T I O N T E M P E R A T U R E U N D E R L O A D
D Y N A M I C M E C H A N I C A L A N A L Y S I S A N D I T S A D V A N T A G E S O V E R D E F L E C T I O N T E M P E R A T U R E U N D E R L O A D Sujan E. Bin Wadud TA Instruments 9 Lukens Drive, New
More informationTesting Elastomers and Plastics for Marc Material Models
Testing Elastomers and Plastics for Marc Material Models Presented by: Kurt Miller Axel Products, Inc. axelproducts.com We Measure Structural Properties Stress Strain Time-Temperature Test Combinations
More informationADVANCED DYNAMIC MECHANICAL ANALYSIS OF A TIRE SAMPLE BY NANOINDENTATION
ADVANCED DYNAMIC MECHANICAL ANALYSIS OF A TIRE SAMPLE BY NANOINDENTATION Duanjie Li and Pierre Leroux, Nanovea, Irvine, CA Abstract The viscoelastic properties of a tire sample are comprehensively studied
More informationAN INVESTIGATION INTO THE VISCOELASTIC PROPERTIES OF THE RUBBER COMPOUNDS AND THEIR RELATION TO TIRE PERFORMANCE
SILICA FILLED TIRE TREAD COMPOUNDS AN INVESTIGATION INTO THE VISCOELASTIC PROPERTIES OF THE RUBBER COMPOUNDS AND THEIR RELATION TO TIRE PERFORMANCE Somayeh Maghami SILICA FILLED TIRE TREAD COMPOUNDS AN
More informationNotes on Rubber Friction
Notes on Rubber Friction 2011 A G Plint Laws of Friction: In dry sliding between a given pair of materials under steady conditions, the coefficient of friction may be almost constant. This is the basis
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 informationMSE 383, Unit 3-3. Joshua U. Otaigbe Iowa State University Materials Science & Engineering Dept.
Dynamic Mechanical Behavior MSE 383, Unit 3-3 Joshua U. Otaigbe Iowa State University Materials Science & Engineering Dept. Scope Why DMA & TTS? DMA Dynamic Mechanical Behavior (DMA) Superposition Principles
More informationDevelopment of a Rubber for a Tuned Mass Damper for Rail Vibration
Development of a Rubber for a Tuned Mass Damper for Rail Vibration A H Muhr For RIEG Discussion Meeting on Vibration Control with Elastomer Products DTR VMS, Trowbridge, 6 th June 2014 Based on PhD thesis
More informationHIGH FREQUENCY VISCOELASTIC PROPERTIES OF NANO PARTICLES-FILLED RUBBER COMPOUNDS BY ULTARSONIC MEASUREMENT
16 TH INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS HIGH FREQUENCY VISCOELASTIC PROPERTIES OF NANO PARTICLES-FILLED RUBBER COMPOUNDS BY ULTARSONIC MEASUREMENT Tetsuya Kunizawa*, Qing-Qing Ni** *Graduate
More informationCONSISTENCY OF RHEOLOGICAL EXPERIMENTS FOR PSA CHARACTERIZATION
CONSISTENCY OF RHEOLOGICAL EXPERIMENTS FOR PSA CHARACTERIZATION Dr. Laura Yao, Senior Research Chemist, Scapa North America, Windsor, CT Robert Braiewa, Research Chemist, Scapa North America, Windsor,
More information2D Modeling of Elastic Wave Propagation in Solids Containing Closed Cracks with Friction
2D Modeling of Elastic Wave Propagation in Solids Containing Closed Cracks with Friction S. Delrue 1, V. Aleshin 2, O. Bou Matar 2, K. Van Den Abeele 1 1 Wave Propagation & Signal Processing Research Group,
More informationDynamic Mechanical Analysis (DMA) of Polymers by Oscillatory Indentation
Dynamic Mechanical Analysis (DMA) of Polymers by Oscillatory Indentation By Jennifer Hay, Nanomechanics, Inc. Abstract This application note teaches the theory and practice of measuring the complex modulus
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 informationModule-4. Mechanical Properties of Metals
Module-4 Mechanical Properties of Metals Contents ) Elastic deformation and Plastic deformation ) Interpretation of tensile stress-strain curves 3) Yielding under multi-axial stress, Yield criteria, Macroscopic
More informationTensile stress strain curves for different materials. Shows in figure below
Tensile stress strain curves for different materials. Shows in figure below Furthermore, the modulus of elasticity of several materials effected by increasing temperature, as is shown in Figure Asst. Lecturer
More informationUnit I - Properties of Matter
Unit I - Properties of Matter Elasticity: Elastic and plastic materials Hooke s law elastic behavior of a material stress - strain diagram factors affecting elasticity. Three moduli of elasticity Poisson
More informationEFFECT OF SOY PROTEIN AND CARBOHYDRATE RATIO ON THE VISCOELASTIC PROPERTIES OF STYRENE-BUTADIENE COMPOSITES
EFFECT OF SOY PROTEIN AND CARBOHYDRATE RATIO ON THE VISCOELASTIC PROPERTIES OF STYRENE-BUTADIENE COMPOSITES Lei Jong Department of Agriculture, National Center for Agricultural Utilization Research 1815
More informationUnique Plastic and Recovery Behavior of Nanofilled Elastomers and Thermoplastic Elastomers (Payne and Mullins Effects)
Unique Plastic and Recovery Behavior of Nanofilled Elastomers and Thermoplastic Elastomers (Payne and Mullins Effects) SAMY MERABIA, 1 PAUL SOTTA, 2 DIDIER R. LONG 2 1 Laboratoire de Physique de la Matière
More informationDynamic Mechanical Analysis of Solid Polymers and Polymer Melts
Polymer Physics 2015 Matilda Larsson Dynamic Mechanical Analysis of Solid Polymers and Polymer Melts Polymer & Materials Chemistry Introduction Two common instruments for dynamic mechanical thermal analysis
More informationChapter 6: Mechanical Properties of Metals. Dr. Feras Fraige
Chapter 6: Mechanical Properties of Metals Dr. Feras Fraige Stress and Strain Tension Compression Shear Torsion Elastic deformation Plastic Deformation Yield Strength Tensile Strength Ductility Toughness
More informationStrain Gages. Approximate Elastic Constants (from University Physics, Sears Zemansky, and Young, Reading, MA, 1979
Material Strain Gages Approximate Elastic Constants (from University Physics, Sears Zemansky, and Young, Reading, MA, 1979 Young's Modulus, Y Shear Modulus, S Bulk Modulus, B Poisson's Ratio 10 11 N/m
More informationMSC Elastomers Seminar Some Things About Elastomers
MSC Elastomers Seminar Some Things About Elastomers Kurt Miller, Axel Products, Inc. www.axelproducts.com Visit us at: axelproducts.com 2 Your Presenter Kurt Miller Founded Axel Products 1994 Instron Corporation,
More informationStrain Gages. Approximate Elastic Constants (from University Physics, Sears Zemansky, and Young, Reading, MA, Shear Modulus, (S) N/m 2
When you bend a piece of metal, the Strain Gages Approximate Elastic Constants (from University Physics, Sears Zemansky, and Young, Reading, MA, 1979 Material Young's Modulus, (E) 10 11 N/m 2 Shear Modulus,
More informationHOT MIX ASPHALT CYCLIC TORQUE TESTS FOR VISCOELASTIC BULK SHEAR BEHAVIOUR
1 1 1 1 1 1 1 1 0 1 0 1 0 HOT MIX ASPHALT CYCLIC TORQUE TESTS FOR VISCOELASTIC BULK SHEAR BEHAVIOUR Petit Christophe 1, Allou Fatima 1, Millien Anne 1, Fakhari Terhani Fateh, Dopeux Jérome 1 ( 1 Laboratoire
More informationModelling of viscoelastic properties of a curing adhesive
Computational Methods and Experiments in Materials Characterisation III 241 Modelling of viscoelastic properties of a curing adhesive J. de Vreugd 1, K. M. B. Jansen 1, L. J. Ernst 1 & J. A. C. M. Pijnenburg
More informationBenchmarkingfiniteelement simulation of rigid indenters in elastomers S.J. Jerrams, N. Reece-Pinchin
Benchmarkingfiniteelement simulation of rigid indenters in elastomers S.J. Jerrams, N. Reece-Pinchin Abstract Verifications of finite element techniques applied to elastomers are difficult to achieve since
More informationStrain Measurement. Prof. Yu Qiao. Department of Structural Engineering, UCSD. Strain Measurement
Strain Measurement Prof. Yu Qiao Department of Structural Engineering, UCSD Strain Measurement The design of load-carrying components for machines and structures requires information about the distribution
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 informationINTRODUCTION TO STRAIN
SIMPLE STRAIN INTRODUCTION TO STRAIN In general terms, Strain is a geometric quantity that measures the deformation of a body. There are two types of strain: normal strain: characterizes dimensional changes,
More informationMechanical characterization of visco termo elastic properties of a polymer interlayer by dynamic tests
Mechanical characterization of visco termo elastic properties of a polymer interlayer by dynamic tests Laura Andreozzi 1, Silvia Briccoli Bati 2, Mario Fagone 2 Giovanna Ranocchiai 2 Fabio Zulli 1 1 Department
More informationComparison between the visco-elastic dampers And Magnetorheological dampers and study the Effect of temperature on the damping properties
Comparison between the visco-elastic dampers And Magnetorheological dampers and study the Effect of temperature on the damping properties A.Q. Bhatti National University of Sciences and Technology (NUST),
More informationarxiv: v1 [cond-mat.soft] 18 Oct 2007
Rubber friction on (apparently) smooth lubricated surfaces M. Mofidi, B. Prakash Division of Machine Elements, Luleå University of Technology, Luleå SE-97187, Sweden B.N.J. Persson IFF, FZ-Jülich, 52425
More informationA Comparison of Calculated and Measured Indentation Losses in Rubber Belt Covers
Whitepaper Conveyor Belting A Comparison of Calculated and Measured Indentation Losses in Rubber Belt Covers Energy loss due to indentation rolling resistance is a major factor in belt conveyor design.
More informationEXPERIMENTAL IDENTIFICATION OF HYPERELASTIC MATERIAL PARAMETERS FOR CALCULATIONS BY THE FINITE ELEMENT METHOD
Journal of KONES Powertrain and Transport, Vol. 7, No. EXPERIMENTAL IDENTIFICATION OF HYPERELASTIC MATERIAL PARAMETERS FOR CALCULATIONS BY THE FINITE ELEMENT METHOD Robert Czabanowski Wroclaw University
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 informationObjectives: After completion of this module, you should be able to:
Chapter 12 Objectives: After completion of this module, you should be able to: Demonstrate your understanding of elasticity, elastic limit, stress, strain, and ultimate strength. Write and apply formulas
More informationDynamic Contact of Tires with Road Tracks
Paper No. 49 Dynamic Contact of Tires with Road Tracks By M. Klüppel*, A. Müller, A. Le Gal Deutsches Institut für Kautschuktechnologie e. V., Eupener Straße 33, D-30519 Hannover, FRG and G. Heinrich Continental
More informationMullins effect in the calculation of the stress-strain state of a car tire
Mullins effect in the calculation of the stress-strain state of a car tire Mullins effect in the calculation of the stress-strain state of a car tire Alexander K. Sokolov Vladimir V. Shadrin Alexander
More informationThermal-Mechanical Decoupling by a Thermal Interface Material
Thermal-Mechanical Decoupling by a Thermal Interface Material Haibing Zhang, Ph.D. Research and Development Chemist Andy Cloud Product Development Manager Abstract Thermal-mechanical decoupling by a silicone
More informationModelling Rubber Bushings Using the Parallel Rheological Framework
Modelling Rubber Bushings Using the Parallel Rheological Framework Javier Rodríguez 1, Francisco Riera 1, and Jon Plaza 2 1 Principia, Spain; 2 Cikatek, Spain Abstract: Bushings are anti vibration components
More informationKINEMATICS & DYNAMICS
KINEMATICS & DYNAMICS BY ADVANCED DIFFERENTIAL EQUATIONS Question (**+) In this question take g = 0 ms. A particle of mass M kg is released from rest from a height H m, and allowed to fall down through
More informationPhysics. Assignment-1(UNITS AND MEASUREMENT)
Assignment-1(UNITS AND MEASUREMENT) 1. Define physical quantity and write steps for measurement. 2. What are fundamental units and derived units? 3. List the seven basic and two supplementary physical
More informationPART A. CONSTITUTIVE EQUATIONS OF MATERIALS
Preface... xix Acknowledgements... xxix PART A. CONSTITUTIVE EQUATIONS OF MATERIALS.... 1 Chapter 1. Elements of Anisotropic Elasticity and Complements on Previsional Calculations... 3 Yvon CHEVALIER 1.1.
More informationRheology of cellulose solutions. Puu Cellulose Chemistry Michael Hummel
Rheology of cellulose solutions Puu-23.6080 - Cellulose Chemistry Michael Hummel Contents Steady shear tests Viscous flow behavior and viscosity Newton s law Shear thinning (and critical concentration)
More information4/14/11. Chapter 12 Static equilibrium and Elasticity Lecture 2. Condition for static equilibrium. Stability An object is in equilibrium:
About Midterm Exam 3 When and where Thurs April 21 th, 5:45-7:00 pm Rooms: Same as Exam I and II, See course webpage. Your TA will give a brief review during the discussion session. Coverage: Chapts 9
More informationSoft Bodies. Good approximation for hard ones. approximation breaks when objects break, or deform. Generalization: soft (deformable) bodies
Soft-Body Physics Soft Bodies Realistic objects are not purely rigid. Good approximation for hard ones. approximation breaks when objects break, or deform. Generalization: soft (deformable) bodies Deformed
More informationAdvanced Friction Modeling in Sheet Metal Forming
Advanced Friction Modeling in Sheet Metal Forming J.Hol 1,a, M.V. Cid Alfaro 2, T. Meinders 3, J. Huétink 3 1 Materials innovation institute (M2i), P.O. box 58, 26 GA Delft, The Netherlands 2 Tata Steel
More informationUNLOADING OF AN ELASTIC-PLASTIC LOADED SPHERICAL CONTACT
2004 AIMETA International Tribology Conference, September 14-17, 2004, Rome, Italy UNLOADING OF AN ELASTIC-PLASTIC LOADED SPHERICAL CONTACT Yuri KLIGERMAN( ), Yuri Kadin( ), Izhak ETSION( ) Faculty of
More informationRubber friction on (apparently) smooth lubricated surfaces
IOP PUBLISHING JOURNAL OF PHYSICS: CONDENSED MATTER J. Phys.: Condens. Matter 2 (28) 85223 (8pp) doi:1.188/953-8984/2/8/85223 Rubber friction on (apparently) smooth lubricated surfaces M Mofidi 1, B Prakash
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 informationThe mechanical behaviour of poly(vinyl butyral) at different
*Manuscript Click here to download Manuscript: jmatsci_paper.tex Click here to view linked References 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 Journal of Materials Science manuscript No. (will be inserted by the
More informationTABLE OF CONTENTS SECTION TITLE PAGE 2 PRINCIPLES OF SEISMIC ISOLATION OF BRIDGES 3
TABLE OF CONTENTS SECTION TITLE PAGE 1 INTRODUCTION 1 2 PRINCIPLES OF SEISMIC ISOLATION OF BRIDGES 3 3 ANALYSIS METHODS OF SEISMICALLY ISOLATED BRIDGES 5 3.1 Introduction 5 3.2 Loadings for the Analysis
More informationEffects of TGO Roughness on Indentation Response of Thermal Barrier Coatings
Copyright 2010 Tech Science Press CMC, vol.17, no.1, pp.41-57, 2010 Effects of Roughness on Indentation Response of Thermal Barrier Coatings Taotao Hu 1 and Shengping Shen 1,2 Abstract: In this paper,
More informationDynamic Finite Element Modeling of Elastomers
Dynamic Finite Element Modeling of Elastomers Jörgen S. Bergström, Ph.D. Veryst Engineering, LLC, 47A Kearney Rd, Needham, MA 02494 Abstract: In many applications, elastomers are used as a load-carrying
More informationChapter 3 Entropy elasticity (rubbery materials) Review basic thermal physics Chapter 5.1 to 5.5 (Nelson)
Chapter 3 Entropy elasticity (rubbery materials) Review basic thermal physics Chapter 5.1 to 5.5 (Nelson) Outline: 3.1 Strain, stress and Young modulus 3. Energy density 3.3 Typical stress-strain curve
More informationQuiz 1 Introduction to Polymers (Please answer each question even if you guess)
080407 Quiz 1 Introduction to Polymers (Please answer each question even if you guess) This week we explored the definition of a polymer in terms of properties. 1) The flow of polymer melts and concentrated
More informationG. R. Strobl, Chapter 5 "The Physics of Polymers, 2'nd Ed." Springer, NY, (1997). J. Ferry, "Viscoelastic Behavior of Polymers"
G. R. Strobl, Chapter 5 "The Physics of Polymers, 2'nd Ed." Springer, NY, (1997). J. Ferry, "Viscoelastic Behavior of Polymers" Chapter 3: Specific Relaxations There are many types of relaxation processes
More informationFig. 1. Circular fiber and interphase between the fiber and the matrix.
Finite element unit cell model based on ABAQUS for fiber reinforced composites Tian Tang Composites Manufacturing & Simulation Center, Purdue University West Lafayette, IN 47906 1. Problem Statement In
More informationMechanical properties of polymers: an overview. Suryasarathi Bose Dept. of Materials Engineering, IISc, Bangalore
Mechanical properties of polymers: an overview Suryasarathi Bose Dept. of Materials Engineering, IISc, Bangalore UGC-NRCM Summer School on Mechanical Property Characterization- June 2012 Overview of polymer
More informationRutgers University Department of Physics & Astronomy. 01:750:271 Honors Physics I Fall Lecture 19. Home Page. Title Page. Page 1 of 36.
Rutgers University Department of Physics & Astronomy 01:750:271 Honors Physics I Fall 2015 Lecture 19 Page 1 of 36 12. Equilibrium and Elasticity How do objects behave under applied external forces? Under
More informationDYNAMIC PROPERTIES OF EPOXIDISED NATURAL RUBBER
DYNAMIC PROPERTIES OF EPOXIDISED NATURAL RUBBER Mahmud Iskandar Seth A Rahim, Kirill Horoshenkov and Jem Rongong Department of Mechanical Engineering, The University of Sheffield, Velocity House, Sheffield,
More informationMeasurement Engineering Group, Paderborn University, Warburger Straße 100, Paderborn, Germany
Nadine Feldmann 1, Fabian Bause 1, Bernd Henning 1 1 Measurement Engineering Group, Paderborn University, Warburger Straße 100, 33098 Paderborn, Germany feldmann@emt.uni-paderborn.de Abstract The present
More informationGame Physics. Game and Media Technology Master Program - Utrecht University. Dr. Nicolas Pronost
Game and Media Technology Master Program - Utrecht University Dr. Nicolas Pronost Soft body physics Soft bodies In reality, objects are not purely rigid for some it is a good approximation but if you hit
More informationAgricultural Science 1B Principles & Processes in Agriculture. Mike Wheatland
Agricultural Science 1B Principles & Processes in Agriculture Mike Wheatland (m.wheatland@physics.usyd.edu.au) Outline - Lectures weeks 9-12 Chapter 6: Balance in nature - description of energy balance
More informationA FINITE ELEMENT STUDY OF ELASTIC-PLASTIC HEMISPHERICAL CONTACT BEHAVIOR AGAINST A RIGID FLAT UNDER VARYING MODULUS OF ELASTICITY AND SPHERE RADIUS
Proceedings of the International Conference on Mechanical Engineering 2009 (ICME2009) 26-28 December 2009, Dhaka, Bangladesh ICME09- A FINITE ELEMENT STUDY OF ELASTIC-PLASTIC HEMISPHERICAL CONTACT BEHAVIOR
More informationLecture 19. Measurement of Solid-Mechanical Quantities (Chapter 8) Measuring Strain Measuring Displacement Measuring Linear Velocity
MECH 373 Instrumentation and Measurements Lecture 19 Measurement of Solid-Mechanical Quantities (Chapter 8) Measuring Strain Measuring Displacement Measuring Linear Velocity Measuring Accepleration and
More informationIntroduction to structural dynamics
Introduction to structural dynamics p n m n u n p n-1 p 3... m n-1 m 3... u n-1 u 3 k 1 c 1 u 1 u 2 k 2 m p 1 1 c 2 m2 p 2 k n c n m n u n p n m 2 p 2 u 2 m 1 p 1 u 1 Static vs dynamic analysis Static
More informationSection 2.5 Atomic Bonding
Section 2.5 Atomic Bonding Metallic bond, Covalent bond, Ionic bond, van der Waals bond are the different types of bonds. Van der Waals interactions: London forces, Debye interaction, Keesom interaction
More informationTE 75R RESEARCH RUBBER FRICTION TEST MACHINE
TE 75R RESEARCH RUBBER FRICTION TEST MACHINE Background: The Research Rubber Friction Test Machine offers the ability to investigate fully the frictional behaviour of rubbery materials both in dry and
More informationMOOC QP Set 2 Principles of Vibration Control
Section I Section II Section III MOOC QP Set 2 Principles of Vibration Control (TOTAL = 100 marks) : 20 questions x 1 mark/question = 20 marks : 20 questions x 2 marks/question = 40 marks : 8 questions
More informationFEA Mechanical Modeling of Torque Transfer Components for Fully Superconducting Rotating Machines
FEA Mechanical Modeling of Torque Transfer Components for Fully Superconducting Rotating Machines Tingcheng.Wu 1, Guillaume.Escamez 1, Clement.Lorin 1, Philippe J. Masson 1 1 University of Houston *Mechanical
More informationChapter 13 Elastic Properties of Materials
Chapter 13 Elastic Properties of Materials GOALS When you have mastered the contents of this chapter, you will be able to achieve the following goals: Definitions Define each of the following terms, and
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 informationStrength Study of Spiral Flexure Spring of Stirling Cryocooler
Sensors & Transducers 2013 by IFSA http://www.sensorsportal.com Strength Study of Spiral of Stirling Cryocooler WANG Wen-Rui, NIE Shuai, ZHANG Jia-Ming School of Mechanical Engineering, University of Science
More informationCh. 10: Fundamental of contact between solids
Ch. 10: Fundamental of contact between solids Actual surface is not smooth. At atomic scale, there are always defects at surface, such as vacancies, ledges, kinks, terraces. In micro or macro scale, roughness
More informationFriction Properties of Surface with Circular Micro-patterns
Friction Properties of Surface with Circular Micro-patterns Hideo Koguchi Mechanical Engineering, 603- Kamitomioka, Nagaoka Univ. of Tech., Nagaoka, Niigata, Japan Email: koguchi@mech.nagaokaut.ac.jp Takayoshi
More informationSupporting Information. Light-Induced Bonding and Debonding with Supramolecular Adhesives
Supporting Information Light-Induced Bonding and Debonding with Supramolecular Adhesives Christian Heinzmann, Souleymane Coulibaly, Anita Roulin, Gina L. Fiore,* and Christoph Weder* Adolphe Merkle Institute,
More informationIntroduction to Strain Gage (SG) Technology
IDMIL - Input Devices and Music Interaction Laboratory McGill University Introduction to Strain Gage (SG) Technology Carolina Brum Medeiros March 14, 2011 About this talk objective: present the essential
More informationWhich one of the following correctly describes the velocities of the two bodies after the collision?
Q1.In which of the following do both quantities have the same unit? Electrical resistivity and electrical resistance. Work function Planck constant Pressure and the Young modulus. cceleration and rate
More informationQuiz 1 Introduction to Polymers
090109 Quiz 1 Introduction to Polymers In class we discussed the definition of a polymer first by comparing polymers with metals and ceramics and then by noting certain properties of polymers that distinguish
More informationExam 3 Review. Chapter 10: Elasticity and Oscillations A stress will deform a body and that body can be set into periodic oscillations.
Exam 3 Review Chapter 10: Elasticity and Oscillations stress will deform a body and that body can be set into periodic oscillations. Elastic Deformations of Solids Elastic objects return to their original
More informationRoad Surface Measurement and Multi-scale Modeling of Rubber-Road Contact and Adhesion. Mohammad Mehran Motamedi
Road Surface Measurement and Multi-scale Modeling of Rubber-Road Contact and Adhesion Mohammad Mehran Motamedi Dissertation submitted to the faculty of the Virginia Polytechnic Institute and State University
More informationLocal friction of rough contact interfaces with rubbers using contact imaging approaches mm
mm 2.5 2.0 1.5 - - -1.5-2.0-2.5 Local friction of rough contact interfaces with rubbers using contact imaging approaches mm -2.5-2.0-1.5 - - 1.5 2.0 2.5 0.30 0 0 0 MPa (c) D.T. Nguyen, M.C. Audry, M. Trejo,
More informationLecture 8 Viscoelasticity and Deformation
HW#5 Due 2/13 (Friday) Lab #1 Due 2/18 (Next Wednesday) For Friday Read: pg 130 168 (rest of Chpt. 4) 1 Poisson s Ratio, μ (pg. 115) Ratio of the strain in the direction perpendicular to the applied force
More informationFigure 43. Some common mechanical systems involving contact.
33 Demonstration: experimental surface measurement ADE PhaseShift Whitelight Interferometer Surface measurement Surface characterization - Probability density function - Statistical analyses - Autocorrelation
More informationLecture 7: Rheology and milli microfluidic
1 and milli microfluidic Introduction In this chapter, we come back to the notion of viscosity, introduced in its simplest form in the chapter 2. We saw that the deformation of a Newtonian fluid under
More informationCONSTITUTIVE MODELING AND OPTIMAL DESIGN OF POLYMERIC FOAMS FOR CRASHWORTHINESS
CONSTITUTIVE MODELING AND OPTIMAL DESIGN OF POLYMERIC FOAMS FOR CRASHWORTHINESS Jun Zhang December 19, 1997 Computational Mechanics Laboratory Department of Mechanical Engineering and Applied Mechanics
More information3.091 Introduction to Solid State Chemistry. Lecture Notes No. 5a ELASTIC BEHAVIOR OF SOLIDS
3.091 Introduction to Solid State Chemistry Lecture Notes No. 5a ELASTIC BEHAVIOR OF SOLIDS 1. INTRODUCTION Crystals are held together by interatomic or intermolecular bonds. The bonds can be covalent,
More information(Refer Slide Time: 00:58)
Nature and Properties of Materials Professor Bishak Bhattacharya Department of Mechanical Engineering Indian Institute of Technology Kanpur Lecture 18 Effect and Glass Transition Temperature In the last
More informationModelling and numerical simulation of the wrinkling evolution for thermo-mechanical loading cases
Modelling and numerical simulation of the wrinkling evolution for thermo-mechanical loading cases Georg Haasemann Conrad Kloß 1 AIMCAL Conference 2016 MOTIVATION Wrinkles in web handling system Loss of
More informationChapter 7. Highlights:
Chapter 7 Highlights: 1. Understand the basic concepts of engineering stress and strain, yield strength, tensile strength, Young's(elastic) modulus, ductility, toughness, resilience, true stress and true
More information