In this paper some two dimensional infiltration problems are considered. The problems involve infiltration from periodic irrigation channels into a soil which contains impermeable sheets of finite width. The problems are reduced to boundary integral equations which may be solved numerically using established procedures. Numerical results are obtain...
An advanced boundary element method (BEM) for 2-D steady-state thermal analysis of components with thermal barrier coating (TBC) is presented in this paper. First, a scheme of evaluating the nearly singular integrals in stress analysis of a thin body was extended to the thermal analysis of components with TBC. Then the BEM formulation for thermal a...
The numerical Green's function technique for an infinite isotropic domain with multiple cracks is developed. The singularities considered are the line force and dislocation. The Green's function is decomposed into the singular and the image terms. To obtain the image term we represent the crack opening displacement (COD) by the dislocation dipole d...
A Boundary Element Method (BEM) model for the propagation of non- linear free-surface waves is described and its application to the study of the hydrodynamic characteristics associated with the roll-motion of 2-D hull sec- tions is presented. The roll-motion of the hull section is modeled as a mixed boundary value problem and solved using a higher-...
This paper presents an approximation for multiple scattering of elastic waves in the frequency domain by cylindrical inclusions. The problem is reduced to a 2D model by assuming circular inclusions. These inclusions are distributed at randomly selected points in 2D isotropic solids. Infinite and half-space matrices are considered. The inclusions ar...
This paper addresses the use of higher order elements in boundary element analysis concerning accuracy and implementation techniques. It is shown that the generation of values of higher order shape functions for elements of any order, as well as for their derivatives, can be accomplished in a simple way through the use of Lagrange polynomials, avoi...
This paper reviews recent developments in the application of the boundary element method (BEM) to muffler and silencer analysis. Initial results of modeling built-in catalyst converters are also presented. A so-called “direct mixed-body boundary element method” has been developed for muffler and silencer analysis since 1996. The idea of the method ...
A semi-analytic approach is applied to the construction of Green's functions and matrices of Green's type for Laplace and Klein-Gordon equation in two dimensions. Mixed boundary value problems posed on multiply connected regions are considered. Statements of the problems are complicated by intricate geometry of the regions and different types of bo...
This paper presents some recent advances in the boundary element method (BEM) for the analysis of carbon nanotube (CNT)-based composites. Carbon nanotubes, formed conceptually by rolling thin graphite sheets, have been found to be extremely stiff, strong and resilient, and therefore may be ideal for reinforcing composite materials. However, the thi...
This article considers weakly singular, singular and hypersingular integrals, which arise when the boundary integral equation (BIE) methods are used to solve problems in science and engineering. For their regularization, an approach based on the theory of distribution and application of the Green theorem has been used. The expressions, which allow ...
