IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media (eBook)

Table of Contents 6
Preface 10
List of Committee Members and Sponsors 12
List of Participants 13
Multiscale Modeling and Simulation of Microstructure 19
On Computational Procedures for Multi-Scale Finite Element Analysis of Inelastic Solids 20
Material Characterization Based on Micro- Structural Computations and Homogenization 31
Relaxed Potentials and Evolution Equations for Inelastic Microstructures 43
Towards Effective Simulation of Effective Elastoplastic Evolution 56
Numerical Approximation Techniques for Rate- Independent Inelasticity 67
Damage and Fracture 78
A Computational Methodology for Modeling Ductile Fracture 79
Multiscale Methods for Fracturing Solids 90
A Regularized Brittle Damage Model Solved by a Level Set Technique 99
Gradient and Other Non- Local Theories 107
A Counterpoint to Cermelli and Gurtin’s Criteria for Choosing the ‘ Correct’ Geometric Dislocation Tensor in Finite Plasticity 108
On Stability for Elastoplasticity of Integral-Type 115
On the Mathematical Formulations of a Model of Strain Gradient Plasticity 125
Uniqueness of Strong Solutions in Infinitesimal Perfect Gradient- Plasticity with Plastic Spin 137
Algorithms and Computational Aspects 149
SQP Methods for Incremental Plasticity with Kinematic Hardening 150
Simulation of Elastoplastic Forming Processes Using Overlapping Domain Decomposition and Inexact Newton Methods 161
Variational Formulation of the Cam-Clay Model 171
Anisotropic Modelling of Metals in Forming Processes 181
Inelastic Media under Uncertainty: Stochastic Models and Computational Approaches 191
Automated Computational Modelling for Solid Mechanics 201
Generalised Functions for Modelling Singularities: Direct and Inverse Problems 211
Discontinuous Galerkin Methods 221
A Discontinuous Galerkin Method for an Incompatibility- Based Strain Gradient Plasticity Theory 222
Some Applications of Discontinuous Galerkin Methods in Solid Mechanics 232
Some Aspects of a Discontinuous Galerkin Formulation for Gradient Plasticity at Finite Strains 242
Computational Dynamics 253
Energy-Momentum Algorithms for the Nonlinear Dynamics of Elastoplastic Solids 254
Internal Variable Formulations of Problems in Elastoplastic Dynamics 266
Time-FE Methods for the Nonlinear Dynamics of Constrained Inelastic Systems 278
The Potential for SPH Modelling of Solid Deformation and Fracture 289
Effect of Material Parameters in the Izod Test for Polymers 299
Experimental and Computational Aspects 309
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 319
On the Measurement and Evaluation of the Width of Portevin – Le Chatelier Deformation Bands with Application to AA5083- H116 Aluminium Alloy 329
Shakedown and Limit Analysis 339
Direct Evaluation of Limits in Plasticity and Creep Deformation 340
On Recent Progress in Shakedown Analysis and Applications to Large- Scale Problems 348
Viscoelasticity 359
Local and Global Regularity in Time Dependent Viscoplasticity 360
Hamiltonian Theory of Viscoelasticity 370
Author Index 381
Subject Index 382