5.5  Equations of Infinitesimal Theory of Elasticity

Previous:  Problem 5.14 (Part a.)

Boundary Value Problems

           Given a body subjected to surface and body forces, with specified boundary conditions, to determine the displacement field knowing the material constitutive equations. In this case, we assume that the strain is small and there is no rigid body rotation. Further we assume that the material is governed by linear elastic isotropic material model.

 

Field Equations

 (1) 

(2) Stress Strain Relations

(3) Cauchy Traction Conditions (Cauchy Formula)

 

(4)     

Next:  5.5(b)  Equations of Infinitesimal Theory of Elasticity (contd)

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