RELIABILITY-BASED SHAPE OPTIMIZATION OF 2-DIMENSIONAL ELASTIC PROBLEMS USING BEM

A reliability-based shape optimization is formulated using the advance d first order second moment (AFOSM) method for the evaluation of failu re probability, and the boundary element method (BEM) for the calculat ion of stress and evaluation of shape design sensitivity. A fully anal ytical approach is adopted for the design sensitivity analysis where t he boundary intergral equation (BIE) is implicitly differentiated. In order to illustrate the application of the present methodology two exa mples are taken. One is a plate with a central hole. Loads and yield s tress are taken as random parameters with normal distribution. The oth er is a fillet problem where load, yield stress and Poisson's ratio ar e taken randomly. The results are compared with deterministic cases an d their practicability is shown.