TY  - EJOU
AU  - Colli, Sergia  
AU  - Gei, Massimiliano  
AU  - Bigoni, Davide  

TI  - A boundary element formulation for incremental nonlinear elastic deformation of compressible solids
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2009
VL  - 40
IS  - 1
SN  - 1526-1506

AB  - 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.
KW  - Green's function
KW  -  boundary integral equations
KW  -  shear bands
KW  -  bifurcation
KW  -  instability

DO  - 10.3970/cmes.2009.040.029