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Abstract
An introduction to finite deformation continuum mechanics and nonlinear material behavior. Coverage of basic tensor- manipulations and calculus, descriptions of kinematics, and balance laws . Discussion of invariance principles and mechanical response functions for elastic materials.
Objective
To provide a modern introduction to the foundations of continuum mechanics and prepare students for further studies in solid mechanics and related disciplines.
Content
1. Tensors: algebra, linear operators 2. Tensors: calculus 3. Kinematics: motion, gradient, polar decomposition 4. Kinematics: strain 5. Kinematics: rates 6. Global Balance: mass, momentum 7. Stress: Cauchy's theorem 8. Stress: alternative measures 9. Invariance: observer 10. Material Response: elasticity
Resources
Lecture Notes
None.
Literature
Recommended texts: (1) Nonlinear solid mechanics, G.A. Holzapfel (2000). (2) An introduction to continuum mechanics, M.B. Rubin (2003).