Numerical Continuum Mechanics / / Vladimir N. Kukudzhanov.

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 applic...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2012]
©2013
Year of Publication:2012
Language:English
Series:De Gruyter Studies in Mathematical Physics , 15
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Physical Description:1 online resource (429 p.) :; Num. figs
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • Part I. Basic equations of continuum mechanics
  • Chapter 1. Basic equations of continuous 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
  • Chapter 8. Modeling of damage and fracture of inelastic materials and structures
  • Bibliography
  • Index