Two-Dimensional Problem Solution
The previous chapter developed the general formulation for the plane problem in elasticity. This formulation results in two types of in-plane problems—plane strain and plane stress. It was further shown that solution to each of these problem types could be conveniently handled using the Airy stress function approach. This scheme reduces the field equations to a single partial differential equation, and for the case of zero body forces, this result was the biharmonic equation. Thus, the plane elasticity problem was reduced to finding the solution to the biharmonic equation in a particular domain of interest. Such a solution must also satisfy the given boundary conditions associated with the particular problem ...
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