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

Colli, Sergia, Gei, Massimiliano ORCID: https://orcid.org/0000-0003-3869-7504 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:	28 Oct 2022 09:18
URI:	https://orca.cardiff.ac.uk/id/eprint/74048

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