The boundary element formulation for analysing cracked thermopiezoelectric materials due to thermal and electroelastic loads is reviewed in this paper. By way of Green's functions for piezoelectric solid with defects and variational principle, a boundary element model (BEM) for a 2-D thermopiezoelectric solid with various defects is discussed. The ...
Basic equations with detailed derivation for the two-dimensional static fundamental solutions are presented for the general anisotropic solids. The displacement, stress and traction solutions for the line force and dislocation fundamental solutions are given along with FORTRAN 90 computer codes. (Codes can be found at "Supplementary Files" in the "...
Abstract This is the second of the two special issues of Electronic Journal of Boundary Elements in honor of Professor Frank Rizzo. There are thirteen technical papers in this issue, contributed by Professor Rizzo’s colleagues, friends and former students. These papers cover a broad range of topics in the boundary integral equation and boundary ele...
Direct boundary limit algorithms for evaluating hypersingular Galerkin surface integrals have been successful in identifying and removing the divergent terms, leaving finite integrals to be evaluated. This paper is concerned with the numerical computation of these multi-dimensional integrals. The integrands contain a weakly singular logarithmic ter...
This paper discusses a three dimensional implementation of boundary integral equation method (BIEM) for large scale time domain elastodynamic problems and its application to ultrasonic nondestructive evaluation (NDE). We improve the time integration algorithm of the BIEM in order to reduce the required computational time. We show the e±ciency of t...
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 of the geometry and crack size, the delamination b...
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 of my life. Our lives were closely entwined not only as teaching and research colleagues but also as goo...
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 version of the Supersonic Transport, which was properly fated for many reasons never to be built and fly. As a stres...
Based on the Rizzo’s direct boundary integral equation formulation for elasticity problems, elastic bodies with randomly distributed circular inclusions are simulated using the boundary element method. The given numerical examples show that the boundary element method is more accurate and more efficient than the finite element method for such type ...
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 [F. J. Rizzo, An integral equation approach to boundary value problems of classical elastostatics, Quart. Appl. Math., 25, 8...
