Fundamentals of Continuum Mechanics

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Product details:

• ISBN 10: 1119094585
• ISBN 13: 9781119094586 
• Author: John W. Rudnicki
  

Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours. It aims to provide the foundations for further study, not just of these subjects, but also the formulations for much more complex material behaviour and their implementation computationally.

This book is divided into 5 parts, covering mathematical preliminaries, stress, motion and deformation, balance of mass, momentum and energy, and ideal constitutive relations and is a suitable textbook for introductory graduate courses for students in mechanical and civil engineering, as well as those studying material science, geology and geophysics and biomechanics.

Table contents:

Part One: Mathematical Preliminaries

1. Vectors

2. Tensors

3. Cartesian Coordinates

4. Vector (Cross) Product

5. Determinants

6. Change of Orthonormal Basis

7. Principal Values and Principal Directions

8. Gradient

Part Two: Stress

9. Traction and Stress Tensor

10. Principal Values of Stress

11. Stationary Values of Shear Traction

12. Mohr’s Circle

Part Three: Motion and Deformation

13. Current and Reference Configurations

14. Rate of Deformation

15. Geometric Measures of Deformation

16. Strain Tensors

17. Linearized Displacement Gradients

Part Four: Balance of Mass, Momentum, and Energy

18. Transformation of Integrals

19. Conservation of Mass

20. Conservation of Momentum

21. Conservation of Energy

Part Five: Ideal Constitutive Relations

22. Fluids

23. Elasticity

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