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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 55
ADVANCES IN COMPUTATIONAL STRUCTURAL MECHANICS
Edited by: B.H.V. Topping
Paper II.2

A Review of Boundary Element Quadratic Formulations in Elastoplastic Stress Analysis Problems

H. Gun and A.A. Becker

Department of Mechanical Engineering, University of Nottingham, United Kingdom

Full Bibliographic Reference for this paper
H. Gun, A.A. Becker, "A Review of Boundary Element Quadratic Formulations in Elastoplastic Stress Analysis Problems", in B.H.V. Topping, (Editor), "Advances in Computational Structural Mechanics", Civil-Comp Press, Edinburgh, UK, pp 19-27, 1998. doi:10.4203/ccp.55.2.2
Abstract
This paper presents a review of different elastoplastic Boundary Element (BE) formulations with particular emphasis on two main approaches; the initial strain displacement-gradient approach with its modelling of the partial or full interior domain, and the particular integral approach which can be applied exclusively to the surface avoiding any modelling of the interior. The initial strain formulation is implemented in a computer program using two-dimensional isoparametric quadratic elements to discretise the boundary curves and quadrilateral cells to discretise either the complete interior domain or only the part associated with the plastic region. The BE solutions are shown to be in good agreement with analytical and Finite Element (FE) solutions.

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