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Mathematics Applied to Continuum Mechanics
Part A
Geometrical prerequisites for theree-dimensional continuum mechanics
1. Vectors, determinants and motivationfor tensors
2 . Cartesian tensors
Part B
Problems in continuum mechanics
3. Viscous fluids
4. Foundations of elasticity
5. Some examples of static problems in elasticity
6. Introduction to dynamic problem in elasticity
Part C
7. Formulation of theory of surface
8. Solution in the linear theory
9. Group speed and Group velocity
10. Nonlinear effects
Part D
Variational methods and extremum principles
11. Calculus of varitions
12. Characterization of eigenvalues and equilibrium states as extrema
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