In this paper, we propose the triangular orthogonal functions as a basis functions
 for solution of weakly singular Volterra integral equations second
 kind. Powerful properties these and some operational matrices
 are utilized in direct method to reduce equation to
 algebraic equations. The presented does not need any integration
 obtaining constant coefficients. is co...

The subject of this paper is the formulation of boundary integral equations for firstand second-order shape sensitivities of boundary elastic fields in three-dimensional bodies. Here the direct differentiation approach is considered. It relies on the repeated application of the material derivative concept to the governing regularized (i.e. weakly singular) displacement boundary integral equatio...

Using the directly derived non-hyper singular integral equations for displacement gradients [as in Okada, Rajiyah, and Atluri (1989a)], simple and straightforward 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 tBI...