Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9711202 | Journal of the Mechanics and Physics of Solids | 2005 | 25 Pages |
Abstract
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.
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Physical Sciences and Engineering
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Mechanical Engineering
Authors
Davide Bigoni, Domenico Capuani,