New boundary element formulas for plane elasticity

A plane elasticity problem leads us to a biharmonic equation with the boundary condition, consisting of first order partial derivatives. We apply the boundary integral equation formulas by Y. Jeon (1996) for the problem. Derivation of the formulas and the concerned analysis and numerical examples are presented. The formulas are especially efficient in evaluating the stress tensor on the boundary as well as inside the domain. It is the stress tensor components that are physically important quantities for the problem.