راهنمای مدل‌های رفتار مواد، مجموعه سه‌جلدی: مدل‌ها و خواص غیرخطی

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 Content: Foreword , Page xvi , Erik van der Giessen Introduction , Pages xvii-xviii , Jean Lemaitre Contributors , Pages xix-xxvii Section 1.1 - Background on Modeling , Pages 3-14 , Jean Lemaitre Section 1.2 - Materials and Process Selection Methods , Pages 15-29 , Yves Brechet Section 1.3 - Size Effect on Structural Strength , Pages 30-68 , Zdeněk P. Bažant Section 2.1 - Introduction to Elasticity and Viscoelasticity , Pages 71-74 , Jean Lemaitre Section 2.2 - Background on Nonlinear Elasticity , Pages 75-83 , R.W. Ogden Section 2.3 - Elasticity of Porous Materials , Pages 84-90 , N.D. Cristescu Section 2.4 - Elastomer Models , Pages 91-94 , R.W. Ogden Section 2.5 - Background on Viscoelasticity , Pages 95-106 , Kozo Ikegami Section 2.6 - A Nonlinear Viscoelastic Model Based on Fluctuating Modes , Pages 107-116 , Rachid Rahouadj, Christian Cunat Section 2.7 - Linear Viscoelasticity with Damage , Pages 117-124 , R.A. Schapery Section 3.1 - Introduction to Yield Limits , Pages 127-128 , Jean Lemaitre Section 3.2 - Background on Isotropic Criteria , Pages 129-136 , Daniel C. Drucker Section 3.3 - Yield Loci Based on Crystallographic Texture , Pages 137-154 , P. Van Houtte Section 3.4 - Anisotropic Yield Conditions , Pages 155-165 , Mlchal Życzkowski Section 3.5 - Distortional Model of Plastic Hardening , Pages 166-174 , Tadeusz Kurtyka Section 3.6 - A Generalized Limit Criterion with Application to Strength, Yielding, and Damage of Isotropic Materials , Pages 175-186 , Holm Altenbach Section 3.7 - Yield Conditions in Beams, Plates, and Shells , Pages 187-194 , Daniel C. Drucker Section 4.1 - Introduction to Plasticity , Pages 197-198 , Jean Lemaitre Section 4.2 - Elastoplasticity of Metallic Polycrystals by the Self-Consistent Model , Pages 199-203 , M. Berveiller Section 4.3 - Anisotropic Elastoplastic Model Based on Texture , Pages 204-212 , Anne Marie Habraken Section 4.4 - Cyclic Plasticity Model with Nonlinear Isotropic and Kinematic Hardenings: NoLIKH Model , Pages 213-222 , Didier Marquis Section 4.5 - Multisurface Hardening Model for Monotonic and Cyclic Response of Metals , Pages 223-231 , Z. Mróz Section 4.6 - Kinematic Hardening Rule with Critical State of Dynamic Recovery , Pages 232-239 , Nobutada Ohno Section 4.7 - Kinematic Hardening Rule for Biaxial Ratcheting , Pages 240-246 , Hlromasa Ishikawa, Katsuhiko Sasaki Section 4.8 - Plasticity in Large Deformations , Pages 247-254 , Yannis F. Dafalias Section 4.9 - Plasticity of Polymers , Pages 255-264 , Jean-Marc Haudin, Bernard Monasse Section 4.10 - Rational Phenomenology in Dynamic Plasticity , Pages 265-273 , Janusz R. Klepaczko Section 4.11 - Conditions for Localization in Plasticity and Rate-Independent Materials , Pages 274-280 , Ahmed Benallal Section 4.12 - Gradient Plasticity , Pages 281-297 , Elias C. Aifantis Section 5.1 - Introduction to Viscoplasticity , Pages 301-302 , Jean Lemaitre Section 5.2 - A Phenomenological Anisotropic Creep Model for Cubic Single Crystals , Pages 303-307 , Albrecht Bertram, Jürgen Olschewski Section 5.3 - Crystalline Viscoplasticity Applied to Single Crystals , Pages 308-317 , Georges Cailletaud Section 5.4 - Averaging of Viscoplastic Polycrystalline Materials with the Tangent Self-Consistent Model , Pages 318-325 , Alain Molinari Section 5.5 - Fraction Models for Inelastic Deformation , Pages 326-335 , J.F. Besseling Section 5.6 - Inelastic Compressible and Incompressible, Isotropic, Small Strain Viscoplasticity Theory Based on Overstress (VBO) , Pages 336-348 , E. Krempl, K. Ho Section 5.7 - An Outline of the Bodner-Partom (B-P) Unified Constitutive Equations for Elastic-Viscoplastic Behavior , Pages 349-357 , Sol R. Bodner Section 5.8 - Unified Model of Cyclic Viscoplasticity Based on the Nonlinear Kinematic Hardening Rule , Pages 358-367 , J.L. Chaboche Section 5.9 - A Model of Nonproportional Cyclic Viscoplasticity , Pages 368-376 , Eiichi Tanaka Section 5.10 - Rate-Dependent Elastoplastic Constitutive Relations , Pages 377-386 , Fernand Ellyin Section 5.11 - Physically Based Rate-and Temperature-Dependent Constitutive Models for Metals , Pages 387-397 , Sia Nemat-Nasser Section 5.12 - Elastic-Viscoplastic Deformation of Polymers , Pages 398-407 , Ellen M. Arruda, Mary C. Boyce Section 6.1 - Introduction to Continuous Damage , Pages 411-412 , Jean Lemaitre Section 6.2 - Damage-Equivalent Stress Fracture Criterion , Pages 413-416 , Jean Lemaitre Section 6.3 - Micromechanically Inspired Continuous Models of Brittle Damage , Pages 417-420 , Dusan Krajcinovic Section 6.4 - Anisotropic Damage , Pages 421-429 , C.L. Chow, Yong Wei Section 6.5 - The Modified Gurson Model , Pages 430-435 , V. Tvergaard, A. Needleman Section 6.6 - The Rousselier Model for Porous Metal Plasticity and Ductile Fracture , Pages 436-445 , Gilles Rousselier Section 6.7 - Model of Anisotropic Creep Damage , Pages 446-452 , Sumio Murakami Section 6.8 - Multiaxial Fatigue Damage Criteria , Pages 453-456 , Darrell Socie Section 6.9 - Multiaxial Fatigue Criteria Based on a Multiscale Approach , Pages 457-463 , K. Dang Van Section 6.10 - A Probabilistic Approach to Fracture in High Cycle Fatigue , Pages 464-471 , François Hild Section 6.11 - Gigacycle Fatigue Regime , Pages 472-487 , C. Bathias Section 6.12 - Damage Mechanisms in Amorphous Glassy Polymers: Crazing , Pages 488-499 , Robert Schirrer Section 6.13 - Damage Models for Concrete , Pages 500-512 , Gilles Pijaudier-Cabot, Jacky Mazars Section 6.14 - Isotropic and Anisotropic Damage Law of Evolution , Pages 513-524 , Jean Lemaitre, Rodrigue Desmorat Section 6.15 - A Two-Scale Model for Quasi-Brittle and Fatigue Damage , Pages 525-535 , Rodrigue Desmorat, Jean Lemaitre Section 7.1 - Introduction to Cracking and Fracture , Pages 539-541 , Jean Lemaitre Section 7.2 - Bridges between Damage and Fracture Mechanics , Pages 542-548 , Jacky Mazars, Gilles Pijaudier-Cabot Section 7.3 - Background on Fracture Mechanics , Pages 549-557 , Huy Duong Bui, J-B. Leblond, N. Stalin-Muller Section 7.4 - Probabilistic Approach to Fracture: The Weibull Model , Pages 558-565 , François Hild Section 7.5 - Brittle Fracture , Pages 566-576 , Dominique François Section 7.6 - Sliding Crack Model , Pages 577-581 , Dietmar Gross Section 7.7 - Delamination of Coatings , Pages 582-586 , Henrik Myhre Jensen Section 7.8 - Ductile Rupture Integrating Inhomogeneities in Materials (DRIIM) , Pages 587-596 , A. Pineau, J. Besson Section 7.9 - Creep Crack Growth Behavior in Creep-Ductile and Creep-Brittle Materials , Pages 597-610 , A. Toshimitsu Yokobori Jr. Section 7.10 - Critical Review of Fatigue Crack Growth , Pages 611-621 , Takeo Yokobori Section 7.11 - Assessment of Fatigue Damage on the Basis of Nonlinear Compliance Effects , Pages 622-632 , Haël Mughrabi Section 7.12 - Damage Mechanics Modeling of Fatigue Crack Growth , Pages 633-644 , Xing Zhang, Jun Zhao Section 7.13 - Dynamic Fracture , Pages 645-660 , W.G. Knauss Section 7.14 - Practical Application of Fracture Mechanics: Fracture control , Pages 661-671 , David Broek Section 8.1 - Introduction to Friction and Wear , Page 675 , Jean Lemaitre Section 8.2 - Background on Friction and Wear , Pages 676-699 , Yves Berthier Section 8.3 - Models of Friction , Pages 700-759 , A.R. Savkoor Section 8.4 - Friction in Lubricated Contacts , Pages 760-767 , Jean FrÉne, Traian Cicone Section 8.5 - A Thermodynamic Analysis of Wear , Pages 768-776 , Huy Duong Bui, Marta Dragon-Louiset, Claude Stolz Section 8.6 - Constitutive Models and Numerical Methods for Frictional Contact , Pages 777-786 , Michel Raous Section 8.7 - Physical Models of Wear: Prediction of Wear Modes , Pages 787-791 , Koji Kato Section 9.1 - Introduction to Coupled Behaviors , Pages 795-796 , Jean Lemaitre Section 9.2 - Elastoplasticity and Viscoplasticity Coupled with Damage , Pages 797-801 , Ahmed Benallal Section 9.3 - A Fully Coupled Anisotropic Elastoplastic Damage Model , Pages 802-813 , Serge Cescotto, Wauters Michaël, Anne-marie Habraken, Y. Zhu Section 9.4 - Model of Inelastic Behavior Coupled to Damage , Pages 814-820 , George Z. Voyiadjis Section 9.5 - Thermo-Elasto-Viscoplasticity and Damage , Pages 821-834 , Piotr Perzyna Section 9.6 - High-Temperature Creep Deformation and Rupture Models , Pages 835-848 , D.R. Hayhurst Section 9.7 - A Coupled Diffusion-Viscoplastic Formulation for Oxidasing Multiphase Materials , Pages 849-855 , Esteban P. Busso Section 9.8 - Hydrogen Attack , Pages 856-863 , Erik Van der Giessen, Sabine M. Schlögl Section 9.9 - Hydrogen Transport and Interaction with Material Deformation: Implications for Fracture , Pages 864-874 , Petros Sofronis Section 9.10 - Unified Disturbed State Constitutive Models , Pages 875-883 , Chandra S. Desai Section 9.11 - Coupling of Stress-Strain, Thermal, and Metallurgical Behaviors , Pages 884-895 , Tatsuo Inoue Section 9.12 - Models for Stress-Phase Transformation Couplings in Metallic Alloys , Pages 896-904 , S. Denis, P. Archambault, E. Gautier Section 9.13 - Elastoplasticity Coupled with Phase Changes , Pages 905-914 , F.D. Fischer Section 9.14 - Mechanical Behavior of Steels during Solid—Solid Phase Transformations , Pages 915-920 , Jean-Baptiste Leblond Section 9.15 - Constitutive Equations of a Shape Memory Alloy Under Complex Loading Conditions , Pages 921-927 , Masataka Tokuda Section 9.16 - Elasticity Coupled with Magnetism , Pages 928-943 , René Billardon, Laurent Hirsinger, Florence Ossart Section 9.17 - Physical Aging and Glass Transition of Polymers , Pages 944-954 , Rachid Rahouadj, Christian Cunat Section 10.1 - Introduction to Composite Media , Pages 957-958 , Jean Lemaitre Section 10.2 - Background on Micromechanics , Pages 959-967 , Erik van der Giessen Section 10.3 - Nonlinear Composites: Secant Methods and Variational Bounds , Pages 968-983 , Pierre M. Suquet Section 10.4 - Nonlocal Micromechanical Models , Pages 984-995 , J.R. Willis Section 10.5 - Transformation Field Analysis of Composite Materials , Pages 996-1003 , George J. Dvorak Section 10.6 - A Damage Mesomodel of Laminate Composites , Pages 1004-1014 , Pierre Ladevèze Section 10.7 - Behavior of Ceramic—Matrix Composites Under Thermomechanical Cyclic Loading Conditions , Pages 1015-1024 , Frederick A. Leckie, Alain Burr, François Hild Section 10.8 - Limit and Shakedown Analysis of Periodic Heterogeneous Media , Pages 1025-1036 , Giulio Maier, Valter Carvelli, Alberto Taliercio Section 10.9 - Flow-Induced Anisotropy in Short-Fiber Composites , Pages 1037-1047 , Arnaud Poitou, Frédéric Meslin Section 10.10 - Elastic Properties of Bone Tissue , Pages 1048-1056 , Stephen C. Cowin Section 10.11 - Biomechanics of Soft Tissue , Pages 1057-1071 , Gerhard A. Holzapfel Section 11.1 - Introduction to Geomaterials , Page 1075 , Jean Lemaitre Section 11.2 - Background of the Behavior of Geomaterials , Pages 1076-1083 , Félix Darve Section 11.3 - Models for Compressible and/or Dilatant Geomaterials , Pages 1084-1092 , N.D. Cristescu Section 11.4 - Behavior of Granular Materials , Pages 1093-1106 , Ioannis Vardoulakis Section 11.5 - Micromechanically Based Constitutive Model for Frictional Granular Materials , Pages 1107-1117 , Sia Nemat-Nasser Section 11.6 - Linear Poroelasticity , Pages 1118-1125 , J.W. Rudnicki Section 11.7 - Nonlinear Poroelasticity for Liquid Nonsaturated Porous Materials , Pages 1126-1133 , Olivier Coussy, Patrick Dangla Section 11.8 - An Elastoplastic Constitutive Model for Partially Saturated Soils , Pages 1134-1145 , B.A. Schrefler, L. Simoni Section 11.9 - “Sinfonietta Classica”: A Strain-Hardening Model for Soils and Soft Rocks , Pages 1146-1154 , Roberto Nova Section 11.10 - A Generalized Plasticity Model for the Dynamic Behavior of Sand, Including Liquefaction , Pages 1155-1163 , M. Pastor, O.C. Zienkiewicz, A.H.C. Chan Section 11.11 - A Critical State Bounding Surface Model for Sands , Pages 1164-1170 , Majid T. Manzari, Yannis F. Dafalias Section 11.12 - Lattice Model for Fracture Analysis of Brittle Disordered Materials like Concrete and Rock , Pages 1171-1177 , J.G.M. van Mier Index , Pages 1179-1200 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