IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains : Proceedings of the IUTAM Symposium Held in Stuttgart, Germany, 20–24 August 2001

The steady increase in computational power induces an equally steady increase in the complexity of the engineering models and associated computer codes. This particularly affects the modeling of the mechanical response of materials. Material behavior is nowadays modeled in the strongly nonlinear range by tak­ ing into account finite strains, complex hysteresis effects, fracture phenomena and multiscale features. Progress in this field is of fundamental importance for many engineering disciplines, especially those concerned with material testing, safety, reliability and serviceability analyses of engineering structures. In recent years many important achievements have been made in the field of the theoretical formulation, the mathematical analysis and the numerical im­ plementation of deformation processes in solids. Computational methods and simulation techniques today play a central role in advancing the understanding of complex material behavior. Research in the field of "ComputationalMechan­ ics of Materials" is concerned with the development of mathematical models and numerical solution techniques for the simulation of material response. It is a very broad interdisciplinary field of science with inputs from traditional fields such as Applied Mechanics, Applied Mathematics, Materials Science, Solid State Physics and Information Technology. The intention of the IUTAM Symposium "Computational Mechanics of Solid Materials at Large Strains", held at the University of Stuttgart, Germany, from August 20-24, 200I, was to give a state of the art and a survey about recent developments in this field and to create perspectives for future research trends. Front Matter....Pages i-xviii Front Matter....Pages 1-1 Nonconvex Energy Minimization and Relaxation in Computational Material Science....Pages 3-20 Rank 1 Convex Hulls of SO(n)-Invariant Functions....Pages 21-32 Evolution of Rate-Independent Inelasticity with Microstructure using Relaxation and Young Measures....Pages 33-44 Mathematical Analysis of Constitutive Equations: Existence and Collapse of Solutions....Pages 45-53 Variational Methods in Non-Convex Plasticity....Pages 55-66 Pulling Phase-Transforming Bars: A Three-Dimensional Viewpoint....Pages 67-76 On the Calculation of Microstructures for Inelastic Materials using Relaxed Energies....Pages 77-86 Computational Homogenization of Materials with Microstructures based on Incremental Variational Formulations....Pages 87-100 Front Matter....Pages 101-101 Superelasticity in Shape-Memory Materials....Pages 103-114 Physically-Based Single and Polycrystal Plasticity Models and their Experimental Verification....Pages 115-130 Localized Plastic Flow in Single Crystals: A Nonlocal Analysis....Pages 131-140 Continuum Thermodynamic Modeling and Simulation of Additional Hardening due to Deformation Incompatibility....Pages 141-150 Objective Rates in Finite Elastoplasticity....Pages 151-160 Finite Deformation Plasticity with Void Growth and Asymmetric Compression-Tension Behavior....Pages 161-170 On the Construction of Polyconvex Anisotropic Free Energy Functions....Pages 171-180 Formulation and Computation of Geometrically Nonlinear Anisotropic Inelasticity....Pages 181-190 On the Representation of Anisotropic Viscoplasticity....Pages 191-200 Anisotropic Elastoplastic Material Behavior in Fabric Structures....Pages 201-210 Necking Phenomena of a Fiber-Reinforced Bar modeled by Multisurface Plasticity....Pages 211-220 Material Growth in Solid-Like Materials....Pages 221-234 Front Matter....Pages 101-101 Theoretical and Computational Simulation of Viscoelastic Polymeric Foams at Finite Strains....Pages 235-244 Front Matter....Pages 245-245 Analysis of Inhomogeneous Materials at Large Strains using Fast Fourier Transforms....Pages 247-258 Multiscale Characterization of Deformation Behavior of Particulate-Reinforced Metal-Matrix Composite....Pages 259-268 Homogenization-Based Predictions for Texture Evolution in Halite....Pages 269-278 On the Influence of Texture Model Types on Simulations of Sheet Metal Forming Processes....Pages 279-290 A Growth Law for Hooke’s Tensor....Pages 291-300 An “Affine” Micromechanical Approach for the Prediction of the Elastoplastic Behavior of Polycrystals at Finite Strain....Pages 301-310 A “Numerical Mesoscope” for the Investigation of Local Fields in Rate-Dependent Elastoplastic Materials at Finite Strain....Pages 311-320 Computational Mechanics of Heterogeneous Materials: Influence of Residual Stresses....Pages 321-330 Nonlinear Waves in Solids and the Inverse Problems....Pages 331-339 Front Matter....Pages 341-341 The Extended Finite Element and Level Set Methods for Non-Planar 3D Crack Growth....Pages 343-354 A Large Strain Discontinuous Finite Element Approach to Laminated Composites....Pages 355-364 Cohesive Zone Modeling of Crack Growth along Different Functionally Graded Joints between Two Materials....Pages 365-374 Discrete Modeling of Cracking of Brittle Materials in Large Relative Motion and Localization Problem....Pages 375-383 Goal-Oriented Error Control for Large Strain Viscoplasticity....Pages 385-394 Affine-Approximate Finite Element Methods and Stabilization Techniques in Elasticity....Pages 395-404 Front Matter....Pages 405-405 Numerical Investigation of High-Pressure Hydraulic Hoses with Steel Wire Braid....Pages 407-416 Finite Deformation Fracture of Tires....Pages 417-424 Computational Strategies for Inelastic Solids at Large Strains: Some Recent Issues with an Industrial Application....Pages 425-434 Reliability-Based Analysis of Large Deformations in Metal Forming Operations....Pages 435-444 Front Matter....Pages 405-405 Development of Crystal Plasticity Design System to generate a High-Strength and High-Formability Material....Pages 445-454 Forging Simulation incorporating Strain-Induced Phase Transformation using the Finite Volume Method....Pages 455-466 Modeling and Characterization of Large Shear Strains at a Rail Surface....Pages 467-475 Back Matter....Pages 477-478 This book gives state-of-the-art information about recent developments in the field of computational modeling of solid materials at finite strains. It contains papers presented at the IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains. Today, computational methods and simulation techniques play a central role in advancing the understanding of complex material behavior. Material behavior is nowadays modeled in the strongly nonlinear range by taking into account finite strains, complex hysteresis effect, fracture phenomena and multiscale features. Progress in this field is of fundamental importance for many engineering disciplines, especially those concerned with material testing, safety, reliability and serviceability analyses of engineering structures. This book summarizes recent progress in the modeling of solid materials undergoing deformations large strains, where the mathematical and computational analysis is highly challenging due to the nonlinear geometry. A further key aspect of the volume is the modeling of multiscale characteristics of materials by homogenization approaches and variational methods. The volume provides a state of the art survey about theoretical and computational approaches to (i) modeling of large-strain elastic and inelastic deformations of solids on different length scales, (ii) mathematical analysis of finite inelastic deformations of solids based on incremental variational formulations for non-convex problems with microstructure developments and (iii) homogenization methods for the determination of effective overall properties of heterogeneous materials. The book allows researchers and engineers to get an excellent overview about the computational methods for solid materials at finite strains