TY - EJOU
AU - Han, Z. D.
AU - Atluri, S. N.
TI - On Simple Formulations of Weakly-Singular Traction \& Displacement BIE, and Their Solutions through Petrov-Galerkin Approaches
T2 - Computer Modeling in Engineering \& Sciences
PY - 2003
VL - 4
IS - 1
SN - 1526-1506
AB - Using the directly derived non-hyper singular integral equations for displacement gradients [as in Okada, Rajiyah, and Atluri (1989a)], simple and straight-forward derivations of weakly singular traction BIE's for solids undergoing small deformations are presented. A large number of ``intrinsic properties'' of the fundamental solutions in elasticity are developed, and are used in rendering the tBIE and dBIE to be only weakly-singular, in a very simple manner. The solutions of the weakly singular tBIE and dBIE through either global Petrov-Galerkin type ``boundary element methods'', or, alternatively, through the meshless local Petrov-Galerkin (MLPG) methods, are discussed. As special cases, the Galerkin type methods, which lead to symmetric systems of equations, are also discussed.
KW -
DO - 10.3970/cmes.2003.004.005