Semi Inverse Method

3 Often a solution to an elasticity problem may be obtained without seeking simulateneous solutions to the equations of motion, Hooke's Law and boundary conditions. One may attempt to seek solutions by making certain assumptions or guesses about the components of strain stress or displacement while leaving enough freedom in these assumptions so that the equations of elasticity be satisfied.

4 If the assumptions allow us to satisfy the elasticity equations, then by the uniqueness theorem, we have succeeded in obtaining the solution to the problem.

5 This method was employed by Saint-Venant in his treatment of the torsion problem, hence it is often referred to as the Saint-Venant semi-inverse method.

0 0

Post a comment