A NECESSARY AND SUFFICIENT BOUNDARY INTEGRAL FORMULATION FOR PLANE ELASTICITY

With respect to a given boundary value problem, the corresponding conv entional boundary integral equation is shown to yield non-equivalent s olutions, which are dependent upon Poisson's ratio and geometry. In th e paper a systematic method for establishing a necessary and sufficien t boundary integral formulation has been proposed for two-dimensional elastostatic problems. Numerical analyses show that the conventional b oundary integral equation yields incorrect results when the scale in t he fundamental solution approaches a degenerate scale value. However, the results of the necessary and sufficient boundary integral equation are in good agreement with analytical solutions of the boundary value problem.