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A boundary element formulation for incremental nonlinear elastic deformation of compressible solids

Colli, Sergia, Gei, Massimiliano and Bigoni, Davide 2009. A boundary element formulation for incremental nonlinear elastic deformation of compressible solids. Computer Modeling in Engineering and Science 40 (1) , pp. 29-62. 10.3970/cmes.2009.040.029

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Abstract

Incremental plane strain deformations superimposed upon a uniformly stressed and deformed nonlinear elastic (compressible) body are treated by developing {\it ad hoc} boundary integral equations that, discretized, lead to a novel boundary element technique. The approach is a generalization to compressible elasticity of results obtained by Brun, Capuani, and Bigoni (2003, Comput. Methods Appl. Mech. Engrg. 192, 2461-2479), and is based on a Green's function here obtained through the plane-wave expansion method. New expressions for Green's tractions are determined, where singular terms are solved in closed form, a feature permitting the development of a optimized numerical code. An application of the presented formulation, namely, bifurcation of a compressible Mooney-Rivlin rectangular block, highlights the strengths of the approach.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Publisher: Tech Science Press
ISSN: 1526-1492
Last Modified: 04 Jun 2017 08:11
URI: http://orca.cf.ac.uk/id/eprint/74048

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