Overview

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.

Full Product Details

Author:   Christian Miehe
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2003
Volume:   108
Weight:   0.791kg
ISBN:  

9789048162390

ISBN 10:   9048162394
Pages:   478
Publication Date:   30 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Preface. Scientific Committee and Sponsors. List of Participants. Variational Principles and Non-Convex Problems:- Nonconvex Energy Minimization and Relaxation in Computational Material Science; C. Carstensen. Rank 1 Convex Hulls of SO(n)-Invariant Functions; M. Silhavý. Evolution of Rate-Independent Inelasticity with Microstructure using Relaxation and Young Measures; A. Mielke. Mathematical Analysis of Constitutive Equations: Existence and Collapse of Solutions; H.D. Alber. Variational Methods in Non-Convex Plasticity; S. Aubry, M. Ortiz. Pulling Phase-Transforming Bars: A Three-Dimensional Viewpoint; A. DeSimone. On the Calculation of Microstructures for Inelastic Materials using Relaxed Energies; K. Hackl, U. Hoppe. Computational Homogenization of Materials with Microstructures based on Incremental Variational Formulations; C. Miehe, M. Lambrecht, J. Schotte. Modeling of Complex Material Response:- Superelasticity in Shape-Memory Materials; L. Anand, P. Thamburaja. Physically-Based Single and Polycrystal Plasticity Models and their Experimental Verification; S. Nemat-Nasser. Localized Plastic Flow in Single Crystals: A Nonlocal Analysis; A. Needleman. Continuum Thermodynamic Modeling and Simulation of Additional Hardening due to Deformation Incompatibility; B. Svendsen, S. Reese. Objective Rates in Finite Elastoplasticity; O.T. Bruhns. Finite Deformation Plasticity with Void Growth and Asymmetric Compression-Tension Behavior; R. Mahnken, E. Stein. On the Construction of Polyconvex Anisotropic Free Energy Functions; J. Schroeder, P. Neff. Formulation and Computation of Geometrically Nonlinear Anisotropic Inelasticity; A. Menzel, P. Steinmann. On the Representation of AnisotropicViscoplasticity; P. Haupt, T. Kersten. Anisotropic Elastoplastic Material Behavior in Fabric Structures; S. Reese. Necking Phenomena of a Fiber-Reinforced Bar modeled by Multisurface Plasticity; T.C. Gasser, G.A. Holzapfel. Material Growth in Solid-Like Materials; G.A. Maugin, S. Imatani. Theoretical and Computational Simulation of Viscoelastic Polymeric Foams at Finite Strains; W. Ehlers, B. Markert. Multiscale Analyses and Homogenization Methods:- Analysis of Inhomogeneous Materials at Large Strains using Fast Fourier Transforms; N. Lahellec, J.C. Michel, H. Moulinec, P. Suquet. Multiscale Characterization of Deformation Behavior of Particulate-Reinforced Metal-Matrix Composite; Y. Tomita, Y. Higa. Homogenization-Based Predictions for Texture Evolution in Halite; P. Gilormini, Y. Liu, P. Ponte Castañeda. On the Influence of Texture Model Types on Simulations of Sheet Metal Forming Processes; D. Besdo. A Growth Law for Hooke's Tensor; T. Böhlke, A. Bertram. An 'Affine' Micromechanical Approach for the Prediction of the Elastoplastic Behavior of Polycrystals at Finite Strain; F. Auslender, M. Bornert, T. Hoc, R. Masson, A. Zaoui. A 'Numerical Mesoscope' for the Investigation of Local Fields in Rate-Dependent Elastoplastic Materials at Finite Strain; H. Haddadi, S. Héraud, L. Allais, C. Teodosiu, A. Zaoui. Computational Mechanics of Heterogeneous Materials: Influence of Residual Stresses; S. Schmauder, U. Weber, E. Soppa. Nonlinear Waves in Solids and the Inverse Problems; J. Engelbrecht, A. Ravasoo, A. Salupere. Advanced Numerical Methods:- The Extended Finite Element and Level Set Methods for Non-Planar 3D Crack Growth; N. Moës, A. Gravouil, T. Belytschko. A Large Stra

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