This work comprises papers based on some of the talks presented at the IUTAM Symposium of the same name, held in Cape Town, January 14-18, 2008.

This volume treats cutting-edge issues in modelling, the behaviour of various classes of inelastic media, and associated algorithms for carrying out computational simulations. A key feature of the contributions are works directed at modelling behaviour at the meso and micro-scales, and at bridging the micro-macro scales.

Zusammenfassung
Inelastic media constitute a rich source of interesting and important problems in theoretical, experimental and computationalmechanics. Signi?cantinsightshavebeengainedthroughstudiesofthemathematicalchar- teristics of new models. New constitutive theories have lead to variational and other formulations that are generally more complex, often highly nonlinear, and requ- ing new tools for their successful resolution. Likewise, there have been signi?cant advances of a computational nature, coupled to the development of new algorithms for solving such problems in discrete form. It is clear, therefore, that research in the broad area of inelastic media offers c- temporary investigators a range of challenges which are most fruitfully addressed througha combinationof theoretical,experimentaland computationalavenues.F- thermore, the ?eld is truly multidisciplinary in nature, drawing on the expertise of specialists in materials science, various branches of engineering, mathematics, and physics, and bene?ting from integrative approaches to the solution of problems. The objective of the IUTAM Symposium on Theoretical, Modelling and C- putational Aspects of Inelastic Media, held in Cape Town over the period 1418 January 2008, was to provide a forum in which experts engaged in a spectrum of activities underthe theme of inelastic media could discussrecent developments,and also identify key open problems.

Inhalt
Multiscale Modeling and Simulation of Microstructure.- On Computational Procedures for Multi-Scale Finite Element Analysis of Inelastic Solids.- Material Characterization Based on Micro-Structural Computations and Homogenization.- Relaxed Potentials and Evolution Equations for Inelastic Microstructures.- Towards Effective Simulation of Effective Elastoplastic Evolution.- Numerical Approximation Techniques for Rate-Independent Inelasticity.- Damage and Fracture.- A Computational Methodology for Modeling Ductile Fracture.- Multiscale Methods for Fracturing Solids.- A Regularized Brittle Damage Model Solved by a Level Set Technique.- Gradient and Other Non-Local Theories.- A Counterpoint to Cermelli and Gurtin's Criteria for Choosing the 'Correct' Geometric Dislocation Tensor in Finite Plasticity.- On Stability for Elastoplasticity of Integral-Type.- On the Mathematical Formulations of a Model of Strain Gradient Plasticity.- Uniqueness of Strong Solutions in Infinitesimal Perfect Gradient-Plasticity with Plastic Spin.- Algorithms and Computational Aspects.- SQP Methods for Incremental Plasticity with Kinematic Hardening.- Simulation of Elastoplastic Forming Processes Using Overlapping Domain Decomposition and Inexact Newton Methods.- Variational Formulation of the Cam-Clay Model.- Anisotropic Modelling of Metals in Forming Processes.- Inelastic Media under Uncertainty: Stochastic Models and Computational Approaches.- Automated Computational Modelling for Solid Mechanics.- Generalised Functions for Modelling Singularities: Direct and Inverse Problems.- Discontinuous Galerkin Methods.- A Discontinuous Galerkin Method for an Incompatibility-Based Strain Gradient Plasticity Theory.- Some Applications of Discontinuous Galerkin Methods in Solid Mechanics.- Some Aspects of a Discontinuous Galerkin Formulation for Gradient Plasticity at Finite Strains.- Computational Dynamics.- Energy-Momentum Algorithms for the Nonlinear Dynamics of Elastoplastic Solids.- Internal Variable Formulations of Problems in Elastoplastic Dynamics.- Time-FE Methods for the Nonlinear Dynamics of Constrained Inelastic Systems.- The Potential for SPH Modelling of Solid Deformation and Fracture.- Effect of Material Parameters in the Izod Test for Polymers.- Experimental and Computational Aspects.- The Response of Large Square Tubes (Width/Thickness Ratio > 45) to Opposite Lateral Blast Loads Followed by Dynamic Axial Load.- Modelling the Behaviour of Fibre-Metal Laminates subjected to Localised Blast Loading.- On the Measurement and Evaluation of the Width of PortevinLe Chatelier Deformation Bands with Application to AA5083-H116 Aluminium Alloy.- Shakedown and Limit Analysis.- Direct Evaluation of Limits in Plasticity and Creep Deformation.- On Recent Progress in Shakedown Analysis and Applications to Large-Scale Problems.- Viscoelasticity.- Local and Global Regularity in Time Dependent Viscoplasticity.- Hamiltonian Theory of Viscoelasticity.