@Article{cmes.2009.040.029,
AUTHOR = {Sergia  Colli, Massimiliano  Gei, Davide  Bigoni},
TITLE = {A boundary element formulation for incremental nonlinear elastic deformation of compressible solids},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {40},
YEAR = {2009},
NUMBER = {1},
PAGES = {29--62},
URL = {http://www.techscience.com/CMES/v40n1/25271},
ISSN = {1526-1506},
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.},
DOI = {10.3970/cmes.2009.040.029}
}