Moreau IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media

Proceedings of the IUTAM Symposium held at Cape Town, South Africa, January 14-18, 2008
1. Auflage 2008
ISBN: 978-1-4020-9090-5
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 388 Seiten

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.

Autoren/Hrsg.

Moreau, R.

Inhaltsverzeichnis

1;Table of Contents;6
2;Preface;10
3;List of Committee Members and Sponsors;12
4;List of Participants;13
5;Multiscale Modeling and Simulation of Microstructure;19
5.1;On Computational Procedures for Multi-Scale Finite Element Analysis of Inelastic Solids;20
5.2;Material Characterization Based on Micro- Structural Computations and Homogenization;31
5.3;Relaxed Potentials and Evolution Equations for Inelastic Microstructures;43
5.4;Towards Effective Simulation of Effective Elastoplastic Evolution;56
5.5;Numerical Approximation Techniques for Rate- Independent Inelasticity;67
6;Damage and Fracture;78
6.1;A Computational Methodology for Modeling Ductile Fracture;79
6.2;Multiscale Methods for Fracturing Solids;90
6.3;A Regularized Brittle Damage Model Solved by a Level Set Technique;99
7;Gradient and Other Non- Local Theories;107
7.1;A Counterpoint to Cermelli and Gurtin’s Criteria for Choosing the ‘ Correct’ Geometric Dislocation Tensor in Finite Plasticity;108
7.2;On Stability for Elastoplasticity of Integral-Type;115
7.3;On the Mathematical Formulations of a Model of Strain Gradient Plasticity;125
7.4;Uniqueness of Strong Solutions in Infinitesimal Perfect Gradient- Plasticity with Plastic Spin;137
8;Algorithms and Computational Aspects;149
8.1;SQP Methods for Incremental Plasticity with Kinematic Hardening;150
8.2;Simulation of Elastoplastic Forming Processes Using Overlapping Domain Decomposition and Inexact Newton Methods;161
8.3;Variational Formulation of the Cam-Clay Model;171
8.4;Anisotropic Modelling of Metals in Forming Processes;181
8.5;Inelastic Media under Uncertainty: Stochastic Models and Computational Approaches;191
8.6;Automated Computational Modelling for Solid Mechanics;201
8.7;Generalised Functions for Modelling Singularities: Direct and Inverse Problems;211
9;Discontinuous Galerkin Methods;221
9.1;A Discontinuous Galerkin Method for an Incompatibility- Based Strain Gradient Plasticity Theory;222
9.2;Some Applications of Discontinuous Galerkin Methods in Solid Mechanics;232
9.3;Some Aspects of a Discontinuous Galerkin Formulation for Gradient Plasticity at Finite Strains;242
10;Computational Dynamics;253
10.1;Energy-Momentum Algorithms for the Nonlinear Dynamics of Elastoplastic Solids;254
10.2;Internal Variable Formulations of Problems in Elastoplastic Dynamics;266
10.3;Time-FE Methods for the Nonlinear Dynamics of Constrained Inelastic Systems;278
10.4;The Potential for SPH Modelling of Solid Deformation and Fracture;289
10.5;Effect of Material Parameters in the Izod Test for Polymers;299
11;Experimental and Computational Aspects;309
11.1;The Response of “Large” Square Tubes (Width/Thickness Ratio > 45) to Opposite Lateral Blast Loads Followed by Dynamic Axial Load;310
11.2;Modelling the Behaviour of Fibre-Metal Laminates subjected to Localised Blast Loading;319
11.3;On the Measurement and Evaluation of the Width of Portevin – Le Chatelier Deformation Bands with Application to AA5083- H116 Aluminium Alloy;329
12;Shakedown and Limit Analysis;339
12.1;Direct Evaluation of Limits in Plasticity and Creep Deformation;340
12.2;On Recent Progress in Shakedown Analysis and Applications to Large- Scale Problems;348
13;Viscoelasticity;359
13.1;Local and Global Regularity in Time Dependent Viscoplasticity;360
13.2;Hamiltonian Theory of Viscoelasticity;370
14;Author Index;381
15;Subject Index;382