{"product_id":"modelling-of-engineering-materials-9781118919118","title":"Modelling of Engineering Materials","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eModelling of Engineering Materials presents the background that is necessary to understand the mathematical models that govern the mechanical response of engineering materials.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003ci\u003ePreface ix\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eNotations xiii\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1 : Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction to material modelling 1\u003c\/p\u003e \u003cp\u003e1.2 Complexity of material response in engineering 2\u003c\/p\u003e \u003cp\u003e1.3 Classification of modelling of material response 5\u003c\/p\u003e \u003cp\u003e1.3.1 Empirical models 6\u003c\/p\u003e \u003cp\u003e1.3.2 Micromechanical models 7\u003c\/p\u003e \u003cp\u003e1.3.3 Phenomenological models 8\u003c\/p\u003e \u003cp\u003e1.4 Limitations of the continuum hypothesis 9\u003c\/p\u003e \u003cp\u003e1.5 Focus of this book 10\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2 : Preliminary Concepts 13\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 13\u003c\/p\u003e \u003cp\u003e2.2 Coordinate frame and system 13\u003c\/p\u003e \u003cp\u003e2.3 Tensors 14\u003c\/p\u003e \u003cp\u003e2.3.1 Tensors of different orders 15\u003c\/p\u003e \u003cp\u003e2.3.2 Notations for tensors 17\u003c\/p\u003e \u003cp\u003e2.4 Derivative operators 22\u003c\/p\u003e \u003cp\u003eSummary 25\u003c\/p\u003e \u003cp\u003eExercise 25\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3 : Continuum Mechanics Concepts 29\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 29\u003c\/p\u003e \u003cp\u003e3.2 Kinematics 30\u003c\/p\u003e \u003cp\u003e3.2.1 Transformations 34\u003c\/p\u003e \u003cp\u003e3.2.1.1 Transformation of line elements 34\u003c\/p\u003e \u003cp\u003e3.2.1.2 Transformation of volume elements 35\u003c\/p\u003e \u003cp\u003e3.2.1.3 Transformation of area elements 36\u003c\/p\u003e \u003cp\u003e3.2.2 Important types of motions 37\u003c\/p\u003e \u003cp\u003e3.2.2.1 Isochoric deformations 38\u003c\/p\u003e \u003cp\u003e3.2.2.2 Rigid body motion 39\u003c\/p\u003e \u003cp\u003e3.2.2.3 Homogeneous deformations 40\u003c\/p\u003e \u003cp\u003e3.2.3 Decomposition of deformation gradient 40\u003c\/p\u003e \u003cp\u003e3.2.3.1 Polar decomposition theorem 40\u003c\/p\u003e \u003cp\u003e3.2.3.2 Stretches 42\u003c\/p\u003e \u003cp\u003e3.2.4 Strain measures 42\u003c\/p\u003e \u003cp\u003e3.2.4.1 Displacements 43\u003c\/p\u003e \u003cp\u003e3.2.4.2 Infinitismal strains 44\u003c\/p\u003e \u003cp\u003e3.2.5 Motions 44\u003c\/p\u003e \u003cp\u003e3.2.5.1 Velocity gradient 45\u003c\/p\u003e \u003cp\u003e3.2.6 Relative deformation gradient 48\u003c\/p\u003e \u003cp\u003e3.2.7 Time derivatives viewed from different coordinates 49\u003c\/p\u003e \u003cp\u003e3.2.7.1 Co-rotational derivatives 50\u003c\/p\u003e \u003cp\u003e3.2.7.2 Convected derivatives 52\u003c\/p\u003e \u003cp\u003e3.3 Balance laws 55\u003c\/p\u003e \u003cp\u003e3.3.1 Transport theorem 56\u003c\/p\u003e \u003cp\u003e3.3.2 Balance of mass 57\u003c\/p\u003e \u003cp\u003e3.3.3 Balance of linear momentum 58\u003c\/p\u003e \u003cp\u003e3.3.4 Balance of angular momentum 62\u003c\/p\u003e \u003cp\u003e3.3.5 Work energy identity 63\u003c\/p\u003e \u003cp\u003e3.3.6 Thermodynamic principles 65\u003c\/p\u003e \u003cp\u003e3.3.6.1 First law of thermodynamics 65\u003c\/p\u003e \u003cp\u003e3.3.6.2 Second law of thermodynamics 67\u003c\/p\u003e \u003cp\u003e3.3.6.3 Alternate energy measures in thermodynamics 68\u003c\/p\u003e \u003cp\u003e3.3.7 Referential description of balance laws 70\u003c\/p\u003e \u003cp\u003e3.3.7.1 Relations between variables in deformed and undeformed configurations 70\u003c\/p\u003e \u003cp\u003e3.3.7.2 Statement of the balance laws in reference configuration 72\u003c\/p\u003e \u003cp\u003e3.3.8 Indeterminate nature of the balance laws 73\u003c\/p\u003e \u003cp\u003e3.3.9 A note on multiphase and multi-component materials 74\u003c\/p\u003e \u003cp\u003e3.3.9.1 Chemical potential 75\u003c\/p\u003e \u003cp\u003e3.4 Constitutive relations 75\u003c\/p\u003e \u003cp\u003e3.4.1 Transformations 76\u003c\/p\u003e \u003cp\u003e3.4.1.1 Euclidean transformations 76\u003c\/p\u003e \u003cp\u003e3.4.1.2 Galilean transformations 77\u003c\/p\u003e \u003cp\u003e3.4.2 Objectivity of mathematical quantities 77\u003c\/p\u003e \u003cp\u003e3.4.3 Invariance of motions and balance equations 79\u003c\/p\u003e \u003cp\u003e3.4.4 Invariance of constitutive relations 79\u003c\/p\u003e \u003cp\u003e3.4.4.1 Frame invariance in a thermoelastic material 81\u003c\/p\u003e \u003cp\u003e3.4.4.2 Constitutive relations for thermoelastic materials 82\u003c\/p\u003e \u003cp\u003e3.4.4.3 Frame invariance and constitutive relations for a thermoviscous fluid 85\u003c\/p\u003e \u003cp\u003e3.4.5 Frame invariance of derivatives 87\u003c\/p\u003e \u003cp\u003eSummary 89\u003c\/p\u003e \u003cp\u003eExercise 90\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4 : Linear Mechanical Models of Material Deformation 95\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 95\u003c\/p\u003e \u003cp\u003e4.2 Linear elastic solid models 96\u003c\/p\u003e \u003cp\u003e4.2.1 Small strain assumption of linear elasticity 98\u003c\/p\u003e \u003cp\u003e4.2.2 Classes of elastic constants 98\u003c\/p\u003e \u003cp\u003e4.2.2.1 General anisotropic linear elastic solid 99\u003c\/p\u003e \u003cp\u003e4.2.2.2 Materials with single plane of elastic symmetry 100\u003c\/p\u003e \u003cp\u003e4.2.2.3 Materials with two planes of elastic symmetry 100\u003c\/p\u003e \u003cp\u003e4.2.2.4 Materials with symmetry about an axis of rotation 101\u003c\/p\u003e \u003cp\u003e4.2.2.5 Isotropic materials 102\u003c\/p\u003e \u003cp\u003e4.3 Linear viscous fluid models 103\u003c\/p\u003e \u003cp\u003e4.3.1 General anisotropic viscous fluid 104\u003c\/p\u003e \u003cp\u003e4.3.2 Isotropic viscous fluid 105\u003c\/p\u003e \u003cp\u003e4.4 Viscoelastic models 106\u003c\/p\u003e \u003cp\u003e4.4.1 Useful definitions for description of viscoelastic behaviour 107\u003c\/p\u003e \u003cp\u003e4.4.1.1 Creep compliance and relaxation modulus 107\u003c\/p\u003e \u003cp\u003e4.4.1.2 Phase lag, storage modulus and loss modulus 107\u003c\/p\u003e \u003cp\u003e4.4.2 Simplistic models of viscoelasticity 110\u003c\/p\u003e \u003cp\u003e4.4.2.1 Maxwell model 111\u003c\/p\u003e \u003cp\u003e4.4.2.2 Kelvin-Voigt model 118\u003c\/p\u003e \u003cp\u003e4.4.2.3 Mechanical analogs for viscoelastic models 119\u003c\/p\u003e \u003cp\u003e4.4.3 Time temperature superposition 121\u003c\/p\u003e \u003cp\u003eSummary 122\u003c\/p\u003e \u003cp\u003eExercise 122\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5: Non-linear Models for Fluids 125\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 125\u003c\/p\u003e \u003cp\u003e5.2 Non-linear response of fluids 126\u003c\/p\u003e \u003cp\u003e5.2.1 Useful definitions for non-Newtonian fluids 126\u003c\/p\u003e \u003cp\u003e5.2.1.1 Steady shear 127\u003c\/p\u003e \u003cp\u003e5.2.1.2 Normal stresses 130\u003c\/p\u003e \u003cp\u003e5.2.1.3 Material functions in extensional flow 130\u003c\/p\u003e \u003cp\u003e5.2.2 Classification of different models 131\u003c\/p\u003e \u003cp\u003e5.3 Non-linear viscous fluid models 132\u003c\/p\u003e \u003cp\u003e5.3.1 Power law model 134\u003c\/p\u003e \u003cp\u003e5.3.2 Cross model 134\u003c\/p\u003e \u003cp\u003e5.4 Non-linear viscoelastic models 135\u003c\/p\u003e \u003cp\u003e5.4.1 Differential-type viscoelastic models 135\u003c\/p\u003e \u003cp\u003e5.4.2 Integral -type viscoelastic models 137\u003c\/p\u003e \u003cp\u003e5.5 Case study: rheological behaviour of asphalt 138\u003c\/p\u003e \u003cp\u003e5.5.1 Material description 138\u003c\/p\u003e \u003cp\u003e5.5.2 Experimental methods 139\u003c\/p\u003e \u003cp\u003e5.5.3 Constitutive models for asphalt 140\u003c\/p\u003e \u003cp\u003e5.5.3.1 Non-linear viscous models 141\u003c\/p\u003e \u003cp\u003e5.5.3.2 Linear viscoelastic models 141\u003c\/p\u003e \u003cp\u003e5.5.3.3 Non-linear viscoelastic models 142\u003c\/p\u003e \u003cp\u003eSummary 147\u003c\/p\u003e \u003cp\u003eExercise 147\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6 : Non-linear Models for Solids 149\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 149\u003c\/p\u003e \u003cp\u003e6.2 Non-linear elastic material response 149\u003c\/p\u003e \u003cp\u003e6.2.1 Hyperelastic material models 151\u003c\/p\u003e \u003cp\u003e6.2.2 Non-linear hyperelastic models for finite deformation 152\u003c\/p\u003e \u003cp\u003e6.2.2.1 Network models of rubber elasticity 153\u003c\/p\u003e \u003cp\u003e6.2.2.2 Mooney-Rivlin model for rubber elasticity 154\u003c\/p\u003e \u003cp\u003e6.2.2.3 Ogden’s model for rubber elasticity 155\u003c\/p\u003e \u003cp\u003e6.2.2.4 Non-linear hyperelastic models in infinitismal deformation 156\u003c\/p\u003e \u003cp\u003e6.2.3 Cauchy elastic models 156\u003c\/p\u003e \u003cp\u003e6.2.3.1 First order Cauchy elastic models 157\u003c\/p\u003e \u003cp\u003e6.2.3.2 Second order Cauchy elastic models 158\u003c\/p\u003e \u003cp\u003e6.2.4 Use of non-linear elastic models 158\u003c\/p\u003e \u003cp\u003e6.3 Non-linear inelastic models 159\u003c\/p\u003e \u003cp\u003e6.3.1 Hypo-elastic material models 160\u003c\/p\u003e \u003cp\u003e6.4 Plasticity models 161\u003c\/p\u003e \u003cp\u003e6.4.1 Typical response of a plastically deforming material 163\u003c\/p\u003e \u003cp\u003e6.4.2 Models for monotonic plastic deformation 165\u003c\/p\u003e \u003cp\u003e6.4.3 Models for incremental plastic deformation 170\u003c\/p\u003e \u003cp\u003e6.4.4 Material response under cyclic loading 174\u003c\/p\u003e \u003cp\u003e6.4.5 Generalized description of plasticity models 181\u003c\/p\u003e \u003cp\u003e6.5 Case study of cyclic deformation of soft clayey soils 183\u003c\/p\u003e \u003cp\u003e6.5.1 Material description 183\u003c\/p\u003e \u003cp\u003e6.5.2 Experimental characterization 184\u003c\/p\u003e \u003cp\u003e6.5.3 Constitutive model development for monotonic and cyclic behaviour 185\u003c\/p\u003e \u003cp\u003e6.5.4 Comparison of model predictions with experimental results 187\u003c\/p\u003e \u003cp\u003eSummary 189\u003c\/p\u003e \u003cp\u003eExercise 190\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7 : Coupled Field Response of Special Materials 193\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 193\u003c\/p\u003e \u003cp\u003e7.1.1 Field variables associated with coupled field interactions 194\u003c\/p\u003e \u003cp\u003e7.2 Electromechanical fields 195\u003c\/p\u003e \u003cp\u003e7.2.1 Basic definitions of variables associated with electric fields 195\u003c\/p\u003e \u003cp\u003e7.2.2 Balance laws in electricity - Maxwell’s equations 196\u003c\/p\u003e \u003cp\u003e7.2.3 Modifications to mechanical balance laws in the presence of electric fields 197\u003c\/p\u003e \u003cp\u003e7.2.4 General constitutive relations associated with electromechanical fields 198\u003c\/p\u003e \u003cp\u003e7.2.5 Linear constitutive relations associated with electromechanical fields 199\u003c\/p\u003e \u003cp\u003e7.2.6 Biased piezoelectric (Tiersten’s) model 200\u003c\/p\u003e \u003cp\u003e7.3 Thermomechanical fields 201\u003c\/p\u003e \u003cp\u003e7.3.1 Response of shape memory materials 202\u003c\/p\u003e \u003cp\u003e7.3.1.1 Response of shape memory alloys 202\u003c\/p\u003e \u003cp\u003e7.3.1.2 Response of shape memory polymers 203\u003c\/p\u003e \u003cp\u003e7.3.2 Microstructural changes in shape memory materials 204\u003c\/p\u003e \u003cp\u003e7.3.2.1 Microstructural changes associated with shape memory alloys 205\u003c\/p\u003e \u003cp\u003e7.3.2.2 Microstructural changes associated with shape memory polymers 206\u003c\/p\u003e \u003cp\u003e7.3.3 Constitutive modelling of shape memory materials 208\u003c\/p\u003e \u003cp\u003e7.3.3.1 Constitutive models for shape memory alloys 208\u003c\/p\u003e \u003cp\u003e7.3.3.2 Constitutive models for shape memory polymers 209\u003c\/p\u003e \u003cp\u003eSummary 210\u003c\/p\u003e \u003cp\u003eExercise 210\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8 : Concluding Remarks 213\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 213\u003c\/p\u003e \u003cp\u003e8.2 Features of models summarized in this book 214\u003c\/p\u003e \u003cp\u003e8.3 Current approaches for constitutive modelling 215\u003c\/p\u003e \u003cp\u003e8.4 Numerical simulation of system response using continuum models 218\u003c\/p\u003e \u003cp\u003e8.5 Observations on system response 220\u003c\/p\u003e \u003cp\u003e8.6 Challenges for the future 222\u003c\/p\u003e \u003cp\u003e\u003ci\u003eSummary 232\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eExercise 232\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eAppendix 225\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eBibliography 233\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eIndex 235\u003c\/i\u003e\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49528841175383,"sku":"9781118919118","price":68.35,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118919118.jpg?v=1731873232","url":"https:\/\/bookcurl.com\/products\/modelling-of-engineering-materials-9781118919118","provider":"Book Curl","version":"1.0","type":"link"}