NON-EQUIVALENCE OF THE CONVENTIONAL BOUNDARY INTEGRAL FORMULATION ND ITS ELIMINATION FOR PLANE ELASTICITY PROBLEMS

Compared with a given boundary value problem of plane elasticity, the corresponding conventional boundary integral equation is shown to yiel d non-equivalent solutions which are dependent upon Poisson's ratio an d geometry. Such a non-equivalence of solutions of boundary integral e quations can be eliminated by using a necessary and sufficient boundar y integral formulation proposed by He [Necessary and sufficient BIE-BE M: its theory and practice. Ph.D. Dissertation, Zhejiang University, H angzhou, China (1993)]. Numerical analysis shows that the conventional boundary integral equation yields incorrect non-equivalent results wh en the scale in the fundamental solution is near its degenerate scale value. Also, this non-equivalence can be remedied by using the necessa ry and sufficient boundary integral equation. Copyright (C) 1996 Elsev ier Science Ltd.