Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 53, Issue 5, Pages 1163-1187Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2004.11.007
Keywords
dynamic Green's function; boundary integral equations; nonlinear elasticity; shear bands; boundary element method; wave propagation; pre-stressed media; anisotropy
Ask authors/readers for more resources
Superimposed dynamic, time-harmonic incremental deformations are considered in an elastic, orthotropic and incompressible, infinite body, subject to plane, homogeneous-but otherwise arbitrary-deformation. The dynamic, infinite body Green's function is found and, in addition, new boundary integral equations are obtained for incremental in-plane hydrostatic stress and displacements. These findings open the way to integral methods in incremental, dynamic elasticity. Moreover. the Green's function is employed as a dynamic perturbation to analyze interaction between wave propagation and shear band formation. Depending on anisotropy and pre-stress level, peculiar wave patterns emerge with focussing and shadowing effects of signals, which may remain undetected by the usual criteria based on analysis of weak discontinuity surfaces. (c) 2005 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available