Boundary Integrals an Alternative to Finite Elements for Plane Elasticity Problems

摘要

The boundary integral equation method is discussed as it is applied to two dimensional elastostatic problems. The method is traced from the basic elasticity equations, through the integral formulation and into the numerical representation. Constant, linear and quadratic interpolation of the boundary values over the boundary segments are discussed. Internal stress and displacement fields are then calculated from the resulting solution. Examples are presented to show the advantages inherent in the method when it is used for design purposes.