Numerical Continuum Mechanics

This work focuses on computational methods in continuum thermomechanics. The text is based on the author's lectures, which ensures a didactical and coherent buildup. The main emphasis is put on the presentation of ideas and qualitative considerations, illustrated by specific examples and applications. Conditions and explanations that are essential for the practical application of methods are discussed thoroughly.

Auteur

Vladimir N. Kukudzhanov, Ishlinsky Institute for Problems in Mechanics, Russia.

Contenu

Preface
Notation

Part I. Basic equations of continuum mechanics
Chapter 1. Basic equations of continuum media

Part II. Theory of finite-difference schemes
Chapter 2. The basics of the theory of finite-difference schemes
Chapter 3. Methods for solving systems of algebraic equations
Chapter 4. Methods for solving boundary value problems for systems of differential equations

Part III. Finite-difference methods for solving nonlinear evolution equations of continuum
mechanics
Chapter 5. Wave propagation problems
Chapter 6. Finite-difference splitting method for solving dynamic and quasistatic boundary value
problems
Chapter 7. Solution of elastoplastic dynamic and quasistatic problems with finite deformations

References