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

被引：0

作者：

Colli, Sergia ^{[1
]}

Gei, Massimiliano ^{[1
]}

Bigoni, Davide ^{[1
]}

机构：

[1] Univ Trento, Dept Mech & Struct Engn, I-38123 Trento, Italy

来源：

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2009年 / 40卷 / 01期

关键词：

Green's function; boundary integral equations; shear bands; bifurcation; instability; GREENS-FUNCTION; DYNAMICS; STRESS; DISPLACEMENT; STRAIN;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Incremental plane strain deformations superimposed upon a uniformly stressed and deformed nonlinear elastic (compressible) body are treated by developing 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 oil 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.

引用

页码：29 / 62

页数：34

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