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Chapters in this book
- Frontmatter i
- Preface v
- Contents ix
-
Part I. Basic equations of continuum mechanics
- Chapter 1. Basic equations of continuous media 3
-
Part II. Theory of finite-difference schemes
- Chapter 2. The basics of the theory of finite-difference schemes 71
- Chapter 3. Methods for solving systems of algebraic equations 122
- Chapter 4. Methods for solving boundary value problems for systems of differential equations 160
-
Part III. Finite-difference methods for solving nonlinear evolution equations of continuum mechanics
- Chapter 5. Wave propagation problems 197
- Chapter 6. Finite-difference splitting method for solving dynamic and quasistatic boundary value problems 263
- Chapter 7 Solution of elastoplastic dynamic and quasistatic problems with finite deformations 298
- Chapter 8. Modeling of damage and fracture of inelastic materials and structures 354
- Bibliography 411
- Index 422
Chapters in this book
- Frontmatter i
- Preface v
- Contents ix
-
Part I. Basic equations of continuum mechanics
- Chapter 1. Basic equations of continuous media 3
-
Part II. Theory of finite-difference schemes
- Chapter 2. The basics of the theory of finite-difference schemes 71
- Chapter 3. Methods for solving systems of algebraic equations 122
- Chapter 4. Methods for solving boundary value problems for systems of differential equations 160
-
Part III. Finite-difference methods for solving nonlinear evolution equations of continuum mechanics
- Chapter 5. Wave propagation problems 197
- Chapter 6. Finite-difference splitting method for solving dynamic and quasistatic boundary value problems 263
- Chapter 7 Solution of elastoplastic dynamic and quasistatic problems with finite deformations 298
- Chapter 8. Modeling of damage and fracture of inelastic materials and structures 354
- Bibliography 411
- Index 422