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Full Description
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.
Contents
Variational Principles and Non-Convex Problems.- Nonconvex Energy Minimization and Relaxation in Computational Material Science.- Rank 1 Convex Hulls of SO(n)-Invariant Functions.- Evolution of Rate-Independent Inelasticity with Microstructure using Relaxation and Young Measures.- Mathematical Analysis of Constitutive Equations: Existence and Collapse of Solutions.- Variational Methods in Non-Convex Plasticity.- Pulling Phase-Transforming Bars: A Three-Dimensional Viewpoint.- On the Calculation of Microstructures for Inelastic Materials using Relaxed Energies.- Computational Homogenization of Materials with Microstructures based on Incremental Variational Formulations.- Modeling of Complex Material Response.- Superelasticity in Shape-Memory Materials.- Physically-Based Single and Polycrystal Plasticity Models and their Experimental Verification.- Localized Plastic Flow in Single Crystals: A Nonlocal Analysis.- Continuum Thermodynamic Modeling and Simulation of Additional Hardening due to Deformation Incompatibility.- Objective Rates in Finite Elastoplasticity.- Finite Deformation Plasticity with Void Growth and Asymmetric Compression-Tension Behavior.- On the Construction of Polyconvex Anisotropic Free Energy Functions.- Formulation and Computation of Geometrically Nonlinear Anisotropic Inelasticity.- On the Representation of Anisotropic Viscoplasticity.- Anisotropic Elastoplastic Material Behavior in Fabric Structures.- Necking Phenomena of a Fiber-Reinforced Bar modeled by Multisurface Plasticity.- Material Growth in Solid-Like Materials.- Theoretical and Computational Simulation of Viscoelastic Polymeric Foams at Finite Strains.- Multiscale Analyses and Homogenization Methods.- Analysis of Inhomogeneous Materials at Large Strains using Fast Fourier Transforms.- Multiscale Characterization of Deformation Behavior of Particulate-Reinforced Metal-Matrix Composite.- Homogenization-Based Predictions for Texture Evolution in Halite.- On the Influence of Texture Model Types on Simulations of Sheet Metal Forming Processes.- A Growth Law for Hooke's Tensor.- An "Affine" Micromechanical Approach for the Prediction of the Elastoplastic Behavior of Polycrystals at Finite Strain.- A "Numerical Mesoscope" for the Investigation of Local Fields in Rate-Dependent Elastoplastic Materials at Finite Strain.- Computational Mechanics of Heterogeneous Materials: Influence of Residual Stresses.- Nonlinear Waves in Solids and the Inverse Problems.- Advanced Numerical Methods.- The Extended Finite Element and Level Set Methods for Non-Planar 3D Crack Growth.- A Large Strain Discontinuous Finite Element Approach to Laminated Composites.- Cohesive Zone Modeling of Crack Growth along Different Functionally Graded Joints between Two Materials.- Discrete Modeling of Cracking of Brittle Materials in Large Relative Motion and Localization Problem.- Goal-Oriented Error Control for Large Strain Viscoplasticity.- Affine-Approximate Finite Element Methods and Stabilization Techniques in Elasticity.- Advanced Computational Applications.- Numerical Investigation of High-Pressure Hydraulic Hoses with Steel Wire Braid.- Finite Deformation Fracture of Tires.- Computational Strategies for Inelastic Solids at Large Strains: Some Recent Issues with an Industrial Application.- Reliability-Based Analysis of Large Deformations in Metal Forming Operations.- Development of Crystal Plasticity Design System to generate a High-Strength and High-Formability Material.- Forging Simulation incorporating Strain-Induced Phase Transformation using the Finite Volume Method.-Modeling and Characterization of Large Shear Strains at a Rail Surface.- Author Index.
