Book contents
- Frontmatter
- Contents
- Preface
- A few words about notations
- PART I FUNDAMENTAL CONCEPTS IN CONTINUUM MECHANICS
- 1 Describing the motion of a system: geometry and kinematics
- 2 The fundamental law of dynamics
- 3 The Cauchy stress tensor and the Piola-Kirchhoff tensor. Applications
- 4 Real and virtual powers
- 5 Deformation tensor, deformation rate tensor, constitutive laws
- 6 Energy equations and shock equations
- PART II PHYSICS OF FLUIDS
- PART III SOLID MECHANICS
- PART IV INTRODUCTION TO WAVE PHENOMENA
- Appendix: The partial differential equations of mechanics
- Hints for the exercises
- References
- Index
5 - Deformation tensor, deformation rate tensor, constitutive laws
Published online by Cambridge University Press: 06 July 2010
Book contents
- Frontmatter
- Contents
- Preface
- A few words about notations
- PART I FUNDAMENTAL CONCEPTS IN CONTINUUM MECHANICS
- 1 Describing the motion of a system: geometry and kinematics
- 2 The fundamental law of dynamics
- 3 The Cauchy stress tensor and the Piola-Kirchhoff tensor. Applications
- 4 Real and virtual powers
- 5 Deformation tensor, deformation rate tensor, constitutive laws
- 6 Energy equations and shock equations
- PART II PHYSICS OF FLUIDS
- PART III SOLID MECHANICS
- PART IV INTRODUCTION TO WAVE PHENOMENA
- Appendix: The partial differential equations of mechanics
- Hints for the exercises
- References
- Index
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- Mathematical Modeling in Continuum Mechanics , pp. 70 - 89Publisher: Cambridge University PressPrint publication year: 2005