Handbook of Materials Behavior Models, Three-Volume Set: Nonlinear Models and Properties

LeMaitre, Jean

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Table of contents
  • Cover
  • Contentsvi
  • Chapter 1. Background on mechanics of materials1
  • 1.1 Background on modeling3
  • 1.2 Materials and process selection15
  • 1.3 Size effect on structural strength30
  • Chapter 2. Elasticity, viscoelasticity69
  • 2.1 Introduction to elasticity and viscoelasticity71
  • 2.2 Background on nonlinear elasticity75
  • 2.3 Elasticity of porous materials84
  • 2.4 Elastomer models91
  • 2.5 Background on viscoelasticity95
  • 2.6 A nonlinear viscoelastic model based on fluctuating modes107
  • 2.7 Linear viscoelasticity with damage117
  • Chapter 3. Yield limit125
  • 3.1 Introduction to yield limits127
  • 3.2 Background on isotropic criteria129
  • 3.3 Yield loci based on crystallographic texture137
  • 3.4 Anisotropic yield conditions155
  • 3.5 Distortional model of plastic hardening166
  • 3.6 A generalized limit criterion with application to strength, yielding, and damage of isotropic ma175
  • 3.7 Yield conditions in beams, plates, and shells187
  • Chapter 4. Plasticity195
  • 4.1 Introduction to plasticity197
  • 4.2 Elastoplasticity of metallic polycrystals by the self-consistent model199
  • 4.3 Anisotropic elastoplastic model based on crystallographic texture204
  • 4.4 Cyclic plasticity model with nonlinear isotropic and kinematic hardening: No LIKH model213
  • 4.5 Multisurface hardening model for monotonic and cyclic response of metals223
  • 4.6 Kinematic hardening rule with critical state of dynamic recovery232
  • 4.7 Kinematic hardening rule for biaxial ratcheting240
  • 4.8 Plasticity in large deformations247
  • 4.9 Plasticity of polymers255
  • 4.10 Rational phenomenology in dynamic plasticity265
  • 4.11 Conditions for localization in plasticity and rate-independent materials274
  • 4.12 An introduction to gradient plasticity281
  • Chapter 5. Viscoplasticity299
  • 5.1 Introduction to viscoplasticity301
  • 5.2 A phenomenological anisotropic creep model for cubic single crystals303
  • 5.3 Crystalline viscoplasticity applied to single crystals308
  • 5.4 Averaging of viscoplastic polycrystalline materials with the tangent self-consistent model318
  • 5.5 Fraction models for inelastic deformation326
  • 5.6 Inelastic compressible and incompressible, isotropic, small-strain viscoplasticity theory based336
  • 5.7 An outline of the Bodner-Partom (BP) unified constitutive equations for elastic-viscoplastic beh349
  • 5.8 Unified model of cyclic viscoplasticity based on the nonlinear kinematic hardening rule358
  • 5.9 A model of nonproportional cyclic viscoplasticity368
  • 5.10 Rate-dependent elastoplastic constitutive relations377
  • 5.11 Physically based rate- and temperature-dependent constitutive models for metals387
  • 5.12 Elastic-viscoplastic deformation of polymers398
  • Chapter 6. Continuous damage409
  • 6.1 Introduction to continuous damage411
  • 6.2 Damage-equivalent stress-fracture criterion413
  • 6.3 Micromechanically inspired continuous models of brittle damage417
  • 6.4 Anisotropic damage421
  • 6.5 Modified Gurson model430
  • 6.6 The Rousselier model for porous metal plasticity and ductile fracture436
  • 6.7 Model of anisotropic creep damage446
  • 6.8 Multiaxial fatigue damage criteria453
  • 6.9 Multiaxial fatigue criteria based on a multiscale approach457
  • 6.10 A probabilistic approach to fracture in high cycle fatigue464
  • 6.11 Gigacycle fatigue regime472
  • 6.12 Damage mechanisms in amorphous glassy polymers: Crazing488
  • 6.13 Damage models for concrete500
  • 6.14 Isotropic and anisotropic damage law of evolution513
  • 6.15 A two-scale damage model for quasi-brittle and fatigue damage525
  • Chapter 7. Cracking and .fracture537
  • 7.1 Introduction to cracking and fracture539
  • 7.2 Bridges between damage and fracture mechanics542
  • 7.3 Background on fracture mechanics549
  • 7.4 Probabilistic approach to fracture: The Weibull model558
  • 7.5 Brittle fracture566
  • 7.6 Sliding crack model577
  • 7.7 Delamination of coatings582
  • 7.8 Ductile rupture integrating inhomogeneities in materials587
  • 7.9 Creep crack growth behavior in creep ductile and brittle materials597
  • 7.10 Critical review of fatigue crack growth611
  • 7.11 Assessment of fatigue damage on the basis of nonlinear compliance effects622
  • 7.12 Damage mechanics modeling of fatigue crack growth633
  • 7.13 Dynamic fracture645
  • 7.14 Practical applications of fracture mechanics: Fracture control661
  • Chapter 8. Friction and wear673
  • 8.1 Introduction to friction and wear675
  • 8.2 Background on friction and wear676
  • 8.3 Models of friction700
  • 8.4 Friction in lubricated contacts760
  • 8.5 A thermodynamic analysis of the contact interface in wear mechanics768
  • 8.6 Constitutive models and numerical methods for frictional contact777
  • 8.7 Physical models of wear, prediction of wear modes787
  • Chapter 9. Multiphysics coupled behavior793
  • 9.1 Introduction to coupled behaviors795
  • 9.2 Elastoplasticity and viscoplasticity coupled with damage797
  • 9.3 A fully coupled anisotropic elastoplastic damage model802
  • 9.4 Model of inelastic behavior coupled to damage814
  • 9.5 Thermo-elasto-viscoplasticity and damage821
  • 9.6 High-temperature creep deformation and rupture models835
  • 9.7 A coupled diffusion-viscoplastic formulation for oxidasing multiphase materials849
  • 9.8 Hydrogen attack856
  • 9.9 Hydrogen transport and interaction with material deformation: Implications for fracture864
  • 9.10 Unified disturbed state constitutive models875
  • 9.11 Coupling of stress-strain, thermal, and metallurgical behaviors884
  • 9.12 Models for stress-phase transformation couplings in metallic alloys896
  • 9.13 Elastoplasticity coupled with phase changes905
  • 9.14 Mechanical behavior of steels during solid-solid phase transformations915
  • 9.15 Constitutive equations of a shape memory alloy under complex loading conditions921
  • 9.16 Elasticity coupled with magnetism928
  • 9.17 Physical aging and glass transition of polymers944
  • Chapter 10. Composite media, biomaterials955
  • 10.1 Introduction to composite media957
  • 10.2 Background on micromechanics959
  • 10.3 Nonlinear composites: Secant methods and variational bounds968
  • 10.4 Nonlocal micromechanical models984
  • 10.5 Transformation field analysis of composite materials996
  • 10.6 A damage mesomodel of laminate composites1004
  • 10.7 Behavior of ceramix-matrix composites under thermomechanical cyclic loading conditions1015
  • 10.8 Limit and shakedown analysis of periodic heterogeneous media1025
  • 10.9 Flow-induced anisotropy in short-fiber composites1037
  • 10.10 Elastic properties of bone tissue1048
  • 10.11 Biomechanics of soft tissue1057
  • Chapter 11. Geomaterials1073
  • 11.1 Introduction to geomaterials1075
  • 11.2 Background of the behavior of geomaterials1076
  • 11.3 Models for compressible and dilatant geomaterials1084
  • 11.4 Behavior of granular materials1093
  • 11.5 Micromechanically based constitutive model for frictional granular materials1107
  • 11.6 Linear poroelasticity1118
  • 11.7 Nonlinear poroelasticity for liquid nonsaturated porous materials1126
  • 11.8 An elastoplastic constitutive model for partially saturated soils1134
  • 11.9 Sinfonietta classica: A strain-hardening model for soils and soft rocks1146
  • 11.10 A generalized plasticity model for dynamic behavior of sand, including liquefaction1155
  • 11.11 A critical state bounding surface model for sands1164
  • 11.12 Lattice model for fracture analysis of brittle disordered materials like concrete and rock1171
  • Index1179
Book details
  • Vendor Elsevier S & T
  • SKU 9780124433410
  • ISBN-13 9780080533636
  • Author LeMaitre, Jean
  • Category Technology & Engineering
  • Subject Materials Science

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This first of a kind reference/handbook deals with nonlinear models and properties of material. In the study the behavior of materials' phenomena no unique laws exist. Therefore, researchers often turn to models to determine the properties of materials. This will be the first book to bring together such a comprehensive collection of these models.

The Handbook deals with all solid materials, and is organized first by phenomena. Most of the materials models presented in an applications-oriented fashion, less descriptive and more practitioner-geared, making it useful in the daily working activities of professionals.

The Handbook is divided into three volumes. Volume I, Deformation of Materials, introduces general methodologies in the art of modeling, in choosing materials, and in the "so-called" size effect. Chapters 2-5 deal respectively with elasticity and viscoelasticity, yield limit, plasticity, and visco-plasticity. Volume II, Failures in Materials, provides models on such concerns as continuous damage, cracking and fracture, and friction wear. Volume III, Multiphysics Behavior, deals with multiphysics coupled behaviors. Chapter's 10 and 11 are devoted to special classes of materials (composites, biomaterials, and geomaterials).

The different sections within each chapter describe one model each with its domain of validity, its background, its formulation, the identification of material parameters for as many materials as possible, and advice on how to implement or use the model.

The study of the behavior of materials, especially solids, is related to hundreds of areas in engineering design and control. Predicting how a material will perform under various conditions is essential to determining the optimal performance of machines and vehicles and the structural integrity of buildings, as well as safety issues. Such practical examples would be how various new materials, such as those used in new airplane hulls, react to heat or cold or sudden temperature changes, or how new building materials hold up under extreme earthquake conditions.

The Handbook of Materials Behavior Models:

Gathers together 117 models of behavior of materials written by the most eminent specialists in their field
Presents each model's domain of validity, a short background, its formulation, a methodology to identify the materials parameters, advise on how to use it in practical applications as well as extensive references
Covers all solid materials: metals, alloys, ceramics, polymers, composites, concrete, wood, rubber, geomaterials such as rocks, soils, sand, clay, biomaterials, etc
Concerns all engineering phenomena: elasticity, viscoelasticity, yield limit, plasticity, viscoplasticity, damage, fracture, friction, and wear