Preliminary Considerations

1 All problems in elasticity require three basic components:

3 Equations of Motion (Equilibrium): i.e. Equations relating the applied tractions and body forces to the stresses (3)

6 Stress-Strain relations: (Hooke's Law)

6 Geometric (kinematic) equations: i.e. Equations of geometry of deformation relating displacement to strain (6)

2 Those 15 equations are written in terms of 15 unknowns: 3 displacement ui, 6 stress components Tij, and 6 strain components Eij.

3 In addition to these equations which describe what is happening inside the body, we must describe what is happening on the surface or boundary of the body. These extra conditions are called boundary conditions.

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