0
RESEARCH PAPERS

A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method

[+] Author and Article Information
M. Guiggiani, A. Gigante

Dipartimento di Costruzioni Meccaniche e Nucleari, Universita degli Studi di Pisa, 56126 Pisa PI, Italy

J. Appl. Mech 57(4), 906-915 (Dec 01, 1990) (10 pages) doi:10.1115/1.2897660 History: Received May 05, 1989; Revised November 01, 1989; Online March 31, 2008

Abstract

This paper presents a new general method for the direct evaluation of Cauchy principal value integrals in several dimensions, which is an issue of major concern in any boundary element method analysis in applied mechanics. It is shown that the original Cauchy principal value integral can be transformed into an element-by-element sum of regular integrals, each one expressed in terms of intrinsic (local) coordinates. The actual computation can be performed by standard quadrature formulae and can be easily included in any existing computer code. The numerical results demonstrate the accuracy and efficiency of the method, along with its insensitivity to the mesh pattern. This new method has full generality and, therefore, can be applied in any field of applied mechanics. Moreover, there are no restrictions on the numerical implementation, as the singular integrals may be defined on surface elements or internal cells of any order and type.

Copyright © 1990 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In