| Contents | |
| Chapter 1 | Introduction |
| Chapter 2 | Matrix notation |
| Definitions; Matrix algebra. | |
| Chapter 3 | Description of material motion |
Definition of kinematic variables; Static variables; Variation of the reference system; Static equilibrium; Virtual power of the forces; Vectorial arrangement of stress and strain; The systematics of the finite element method; Dynamic equations; Bibliography. |
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| Chapter 4 | Elastic deformations |
| Description of elastic material behaviour; Solution of elastic nonlinear problems; Elastic structures; Dynamics in elasticity; Bibliography. | |
| Chapter 5 | Inelastic deformation processes |
| Description of inelastic material; Determination of the velocity field; The process of deformation; Time dependent boundary conditions; Adaptive discretization; Bibliography. | |
| Chapter 6 | Application of inelastic deformation processes in engineering |
Superplastic forming; Plastic deformation; Paste extrusion; Impact dynamics; Bibliography. |
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| Chapter 7 | Thermomechanically coupled deformation processes |
| Non-isothermal deformation; Deformation and thermodynamics; Finite element representation of the thermal problem; Solution for the transient temperature; Solution of the thermomechanically coupled problem; Application to the hot working of metals; Splashing of ceramic droplets; Bibliography. | |
| Chapter 8 | Process design and related topics |
| Task definition; Objective functions and sensitivity analysis; Optimization of the process; Inverse problems; Extensions; Bibliography. | |
| Chapter 9 | Solution of coupled systems |
Coupled systems; Interacting processes; Solution of interacting systems; Domain decomposition; Issues of distributed computing; Bibliography. |
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| Chapter 10 | Elastoplasticity |
| Implications of elastic constituents; Description of elastic-plastic material; Thermodynamics; Damage in elastic-plastic materials; Plastic anisotropy; Considerations on uniqueness and stability; Bibliography. | |
| Chapter 11 | Problems with random variables |
Task description and overview; A primer on multivariate statistics; Analysis of stochastic deformation processes; Design with random parameters; Exploration by synthetic sampling; Bibliography. |
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