Khemais Saanouni is Professor of applied and computational mechanics at the University of Technology of Troyes (France), where he founded and leads a research group working on advanced modeling in virtual metal forming. He teaches the theoretical and computational nonlinear mechanics with application to metal forming by large inelastic strains with ductile damage and is the author or co-author of more than 200 scientific publications with around 80 papers in major peer-reviewed journals in the field of applied and computational mechanics.

• Preface xiiiPrinciple of Mathematical Notations xixChapter 1. Elements of Continuum Mechanics and Thermodynamics 11.1. Elements of kinematics and dynamics of materially simple continua 21.2. On the conservation laws for the materially simple continua. 331.3. Materially simple continuum thermodynamics and the necessity of constitutive equations 391.4. Mechanics of generalized continua. Micromorphic theory 55Chapter 2. Thermomechanically-Consistent Modeling of the Metals Behavior with DuctileDamage 632.1. On the main schemes for modeling the behavior of materially simple continuous media 642.2. Behavior and fracture of metals and alloys: some physical and phenomenological aspects 692.3. Theoretical framework of modeling and main hypotheses 912.4. State potential: state relations 1132.5. Dissipation analysis: evolution equations 1392.6. Modeling of the damage-induced volume variation 1942.7. Modeling of the contact and friction between deformable solids 2002.8. Nonlocal modeling of damageable behavior of micromorphic continua 2152.9. On the micro–macro modeling of inelastic flow with ductile damage 226Chapter 3. Numerical Methods for Solving Metal Forming Problems 2433.1. Initial and boundary value problem associated with virtual metal forming processes 2443.2. Temporal and spatial discretization of the IBVP 2593.3. On some global resolution scheme of the IBVP 2703.4. Local integration scheme: state variables computation 3043.5. Adaptive analysis of damageable elasto-inelastic structures 3373.6. On other spatial discretization methods 347Chapter 4. Application to Virtual Metal Forming 3554.1. Why use virtual metal forming? 3564.2. Model identification methodology 3594.3. Some applications 4314.4. Toward the optimization of forming and machining processes 484Appendix: Legendre–Fenchel Transformation 493Bibliography 499Index 515

Khemais Saanouni is Professor of applied and computational mechanics at the University of Technology of Troyes (France), where he founded and leads a research group working on advanced modeling in virtual metal forming. He teaches the theoretical and computational nonlinear mechanics with application to metal forming by large inelastic strains with ductile damage and is the author or co-author of more than 200 scientific publications with around 80 papers in major peer-reviewed journals in the field of applied and computational mechanics.

• Preface xiiiPrinciple of Mathematical Notations xixChapter 1. Elements of Continuum Mechanics and Thermodynamics 11.1. Elements of kinematics and dynamics of materially simple continua 21.2. On the conservation laws for the materially simple continua. 331.3. Materially simple continuum thermodynamics and the necessity of constitutive equations 391.4. Mechanics of generalized continua. Micromorphic theory 55Chapter 2. Thermomechanically-Consistent Modeling of the Metals Behavior with DuctileDamage 632.1. On the main schemes for modeling the behavior of materially simple continuous media 642.2. Behavior and fracture of metals and alloys: some physical and phenomenological aspects 692.3. Theoretical framework of modeling and main hypotheses 912.4. State potential: state relations 1132.5. Dissipation analysis: evolution equations 1392.6. Modeling of the damage-induced volume variation 1942.7. Modeling of the contact and friction between deformable solids 2002.8. Nonlocal modeling of damageable behavior of micromorphic continua 2152.9. On the micro–macro modeling of inelastic flow with ductile damage 226Chapter 3. Numerical Methods for Solving Metal Forming Problems 2433.1. Initial and boundary value problem associated with virtual metal forming processes 2443.2. Temporal and spatial discretization of the IBVP 2593.3. On some global resolution scheme of the IBVP 2703.4. Local integration scheme: state variables computation 3043.5. Adaptive analysis of damageable elasto-inelastic structures 3373.6. On other spatial discretization methods 347Chapter 4. Application to Virtual Metal Forming 3554.1. Why use virtual metal forming? 3564.2. Model identification methodology 3594.3. Some applications 4314.4. Toward the optimization of forming and machining processes 484Appendix: Legendre–Fenchel Transformation 493Bibliography 499Index 515

Khemais Saanouni is Professor of applied and computational mechanics at the University of Technology of Troyes (France), where he founded and leads a research group working on advanced modeling in virtual metal forming. He teaches the theoretical and computational nonlinear mechanics with application to metal forming by large inelastic strains with ductile damage and is the author or co-author of more than 200 scientific publications with around 80 papers in major peer-reviewed journals in the field of applied and computational mechanics.

• Preface xiiiPrinciple of Mathematical Notations xixChapter 1. Elements of Continuum Mechanics and Thermodynamics 11.1. Elements of kinematics and dynamics of materially simple continua 21.2. On the conservation laws for the materially simple continua. 331.3. Materially simple continuum thermodynamics and the necessity of constitutive equations 391.4. Mechanics of generalized continua. Micromorphic theory 55Chapter 2. Thermomechanically-Consistent Modeling of the Metals Behavior with DuctileDamage 632.1. On the main schemes for modeling the behavior of materially simple continuous media 642.2. Behavior and fracture of metals and alloys: some physical and phenomenological aspects 692.3. Theoretical framework of modeling and main hypotheses 912.4. State potential: state relations 1132.5. Dissipation analysis: evolution equations 1392.6. Modeling of the damage-induced volume variation 1942.7. Modeling of the contact and friction between deformable solids 2002.8. Nonlocal modeling of damageable behavior of micromorphic continua 2152.9. On the micro–macro modeling of inelastic flow with ductile damage 226Chapter 3. Numerical Methods for Solving Metal Forming Problems 2433.1. Initial and boundary value problem associated with virtual metal forming processes 2443.2. Temporal and spatial discretization of the IBVP 2593.3. On some global resolution scheme of the IBVP 2703.4. Local integration scheme: state variables computation 3043.5. Adaptive analysis of damageable elasto-inelastic structures 3373.6. On other spatial discretization methods 347Chapter 4. Application to Virtual Metal Forming 3554.1. Why use virtual metal forming? 3564.2. Model identification methodology 3594.3. Some applications 4314.4. Toward the optimization of forming and machining processes 484Appendix: Legendre–Fenchel Transformation 493Bibliography 499Index 515