Fundamentals of Continuum Mechanics and Dislocation Theory

Syllabus

1. Mathematical principles of continuum mechanics

2. Geometrical characterization of deformation - dilatation tensor, Cauchy deformation tensor

3. Dynamic characterization of deformation - stress tensor, equilibrium equations, boundary conditions

4. Deformation energy of elastic body

5. General Hooke's law, properties of elastic constants

6. Equations of motion of elastic continuum

7. Rheology - Mechanical models of anelastic bodies

8. Mathematical model of plasticity

9. Continuum model of dislocations, disclinations and volume defects.

10.Stress and deformation field of dislocations

Annotation

Basic equations of continuum mechanics, Linear theory of elasticity, Rheology, Theory of plasticity,

Continuum theory of crystal defects.