Optimal hole profile in a finite plate under uniaxial stress by finite element simulation of Durelli's photoelastic stress minimization method.

摘要

Finite element method is used to simulate the photoelastic stress minimization (PSM) method developed by Durelli to solve the elementary and yet challenging problem of finding the optimum hole profile of a finite plate under uniaxial stress. Durelli's method of removing material slowly in low stress region of the design domain, so as to make the sections of the hole boundary become isochromatics of same Tresca stress, is simulated by iterative element removal within the external layer of elements on the hole boundary followed by smoothing and remeshing before proceeding to the next layer.