Large deformation processes of solids : from fundamentals to numerical simulation and engineering applications / Ioannis Doltsinis.

CONTENTS

1 Introduction

2 Matrix Notation

2.1 Definitions
2.2 Matrix Algebra

3 Description of Material motion

3.1 Definition of Kinematic variables
3.2 Static variables
3.3 Variation of the reference systems
3.4 Static equilibrium
etc

4 Elastic deformation

4.1 Description of elastic material behaviour
4.2 Solution of elastic nonlinear problems
4.3 Elastic structures
4.4 Dynamics in elasticity

5 Inelastic deformation processes

5.1 Description of inelastic materials
5.2 Determination of velocity field
5.3 The process of deformation
5.4 Time dependent boundary
etc

6 Application of inelastic deformation processes in engineering

6.1 Superplastic Forming
6.2 Plastic deformation
6.3 Paste extrusion
6.4 Impact dynamics

7 Thermomechanically coupled deformation processes

7.1 Non-isothermal deformation
7.2 Deformation and thermodynamics
7.3 Finite element representation of the thermal problem
7.4 Solution for the transient temperature

8 Processes design and related topics

8.1 Task definition
8.2 Objective functions and sensitivity analysis
8.3 Optimization of the process
8.4 Inverse problems

9 Solution of coupled systems

9.1 Coupled systems
9.2 Interacting processes
9.3 Solution of interacting systems
9.4 Domain decomposition
etc

10 Elastoplasticity

10.1 Implication of elastic constituents
10.2 Description of elastic-plastic material
10.3 Thermodynamics
10.4 Damage in elastic-plastic materials

11 Problems with random variables

11.1 Task description and overview
11.2 A primer on multivariate statistics
11.3 Analysis of stochastic deformation processes
11.4 Design with random parameters
11.5 Exploration by synthetic sampling bibliography

Index : p. 471-475

System requirements: Windows or Macintosh; Acrobat Reader 4 or higher; Quicktime 4 or higher.