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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.
List of contents
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 Portevin-Le 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.
