WIT Press


Infinite Boundary Elements With Direct Evaluation Of Cauchy Principal Value Integrals

Price

Free (open access)

Paper DOI

10.2495/BE930321

Volume

1

Pages

14

Published

1993

Size

730 kb

Author(s)

P. Parreira & O.J.B. Almeida Pereira

Abstract

Infinite boundary elements with direct evaluation of Cauchy principal value integrals P. Parreira, O.J.B. Almeida Pereira Department of Civil Engineering, Instituto Superior Tecnico, Av. Rovisco Pais, 1096 Lisboa Codex, Portugal SUMMARY Infinite elements have been used for the modelling of infinite surfaces in boundary element discretizations since 1979. The greatest difficulty in their implementation is the evaluation of strongly singular integrals, which is usually performed indirectly. This paper discusses the application of the recently developed algorithms for the direct numerical evaluation of these integrals to semi-infinite special fundamental solutions and to infinite boundary elements. INTRODUCTION One of the advantages of boundary element discretizations compared to finite element models is their ability to analyse infinite and semi-infinite domains. This can be done in a very natural way by applying special fundamental solutions, as Mindlin's solution

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