Nonsingular boundary integral representation of stresses
Abstract
This paper presents the derivation of the nonsingular integral representation of stresses in two and threedimensional elastostatics. In contrast to the strongly singular and weakly singular integral representations, the numerical computation of the nearly singular integrals is eliminated because all the integrands are made finite in this new formulation even if the internal point approaches the boundary. Thus the method gives accurate numerical results even in that portion of a solid which is very close to a discretized boundary. Three test problems are analyzed in which a comparison of the accuracies achieved by the numerical computations based on the use of strongly singular, weakly singular and nonsingular integral representations of stresses are presented.
 Publication:

International Journal for Numerical Methods in Engineering
 Pub Date:
 May 1992
 DOI:
 10.1002/nme.1620330708
 Bibcode:
 1992IJNME..33.1481S
 Keywords:

 Boundary Integral Method;
 Elastoplasticity;
 Stress Analysis;
 Structural Analysis;
 Numerical Integration;
 Plates (Structural Members);
 Singularity (Mathematics);
 Stress Distribution;
 Stress Tensors;
 Structural Mechanics