Introduction to Continuum Mechanics
This textbook treats solids and fluids in a balanced manner, using thermodynamic restrictions on the relation between applied forces and material responses. This unified approach can be appreciated by engineers, physicists, and applied mathematicians with some background in engineering mechanics. It has many examples and about 150 exercises for students to practise. The higher mathematics needed for a complete understanding is provided in the early chapters. This subject is essential for engineers involved in experimental or numerical modelling of material behaviour.
- Clearly worked-out examples and about 150 exercises to practise on
- Intrinsic angular momentum and couple stresses in the balance laws and the inclusion of invariant integrals which lead to forces on bodies in a stream and the J-integral in solids
- Special theories such as Biot theory of viscoelasticity, Rice theory of irreversible plastic deformation, K-BKZ theory of fluids, Valanis endochronic theory, slip-line theory of ideal plasticity
Product details
March 2011Paperback
9780521187893
252 pages
254 × 178 × 13 mm
0.44kg
Available
Table of Contents
- 1. Introduction
- 2. Cartesian tensors
- 3. General tensors
- 4. Integral theorems
- 5. Deformation
- 6. Motion
- 7. Fundamental laws of mechanics
- 8. Stress tensor
- 9. Energy and entropy constraints
- 10. Constitutive relations
- 11. Hyperelastic materials
- 12. Fluid dynamics
- 13. Viscoelasticity
- 14. Plasticity.