Shape Design Sensitivity Analysis based on Boundary Integral Equation Method Considering General Shape Variations, Part II: Concrete Formula Derivations for Potential, Elasticity and Plate Bending Problems

Abstract

This work is based upon the general formula for the shape design sensitivity of the elliptical operator. The classical engineering problems of potential, elasticity, and plate bending will be addressed. The derived formulas are suitable for computational purposes in conjunction with the boundary element method. Specific individual problems serve as illustration and their results are compared with those obtained by a different approach which is based on a variational method over the domain.