A boundary element method (BEM) for bimaterial domains consisting of two isotropic solids bonded perfectly along the straight interface will be developed. We follow the physical interpretation of Somigliana’s identity to represent the displacement in the bimaterial domain by the…

Algorithms for the direct evaluation of singular Galerkin boundary integrals for three-dimensional anisotropic elasticity are presented. The integral of the traction kernel is defined as a boundary limit, and (partial) analytic evaluation is employed to compute the limit. The spherical…

In this paper, a short historical review of the BEM research in China is given first. The investigation on the BEM in China was started in 1978 at the Tsinghua University, based on the pioneering work published by Frank Rizzo…

This memoir is about some embryonic thoughts and experiences with what is now often called the Direct Boundary Integral Method for boundary value problems in ‘classical elastostatics.’ It covers a very early period for me, from about 1954 to 1965,…

My first exposure to what were best known then as potential methods was around the 1965-1966 academic year at the University of Washington in Seattle, Washington. I had been a stress analyst at The Boeing Company, working on the US's…

I am very pleased to have this opportunity to honor Frank J. Rizzo, following his retirement, by contributing to this volume. My professional and close personal association with Frank for two decades was one of the great privileges and pleasures…

In this paper, problems involving infiltration from periodic identical trapezoidal channels into homogeneous soils with root water uptake are considered. The governing equation of infiltration through soil is transformed to a modified Helmholtz equation using Kirchoff transformation with dimensionless variables.…

In this paper, a problem involving time-dependent water flow in a homogeneous soil is considered. The problem involves water infiltration from periodic identical trapezoidal channels. A governing equation of the problem is the Richard’s equation, which can be studied more…

The boundary element method (BEM) for two-dimensional numerical stress analysis is employed to investigate crack-face bridging of cracked fibre-metal laminates (FML) with cut-outs in this study. The fracture mechanics prediction of crack growth in these perforated laminates involves the interaction…

In this paper, we derive three-dimensional Green’s functions of point-force/pointcharge in anisotropic and piezoelectric bimaterials for six different interface models. Mechanically, the six interface models are either in perfect or smooth contact along the interface; electronically, they can be closed,…