Functional and Numerical Methods in Viscoplasticity

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ISBN: 9780198535904 | 0198535902
Cover: Hardcover
Copyright: 7/8/1993

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This book studies problems of viscoplasticity using various and different mathematical methods. The mathematical results obtained are carefully interpreted from a mechanical point of view. The theory is developed to deal with numerical results from practical problems in industry andtechnology.

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Preliminaries on Mechanics of Continuous Media
Kinematics of Continuous Media
Balance Laws and Stress Tensors
Some Experiments and Models for Solids
Functional Spaces in Viscoplasticity
Functional Spaces of Scalar-valued Functions
Functional Spaces Attached to Some Linear Differential Operators of First Order
Functional Spaces of Vector-valued Functions Defined on Real Intervals
Quasistatic Processes for Rate-Type Viscoplastic Materials
Discussion of a Quasistatic Elastic-Viscoplastic Problem
Behavior of the Solution in the Viscoelastic Case
An Approach to Perfect Plasticity

Quasistatic Processes for Rate-type Viscoplastic Materials with Internal State Variables
An Application to a Mining Engineering Problem
Dynamic Processes for Rate-Type Elastic-Viscoplastic Materials
Discussion of a Dynamic Elastic-Viscoplastic Problem
The Behavior of the Solution in the Viscoelastic Case
An Approach to Perfect Plasticity
Dynamic Processes for Rate-type Elastic-Viscoplastic Materials with Internal State Variables
Other Functional Methods in the Study of Dynamic Problems
Perturbations of Homogeneous Simple Shear and Strain Localization
The Flow of the Bingham Fluid with Friction
Boundary Value Problems for the Bingham Fluid with Friction
The Blocking Property of the Solution
A Numerical Approach
Appendix
Elements of Linear Analysis
Elements of Non-linear Analysis
Evolution Equations in Banach Spaces
Some Numerical Methods and Complements
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Functional and Numerical Methods in Viscoplasticity

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