TY - JOUR
T1 - Antiplane Wave Scattering from a Cylindrical Void in a Pre-Stressed Incompressible Neo-Hookean Material
AU - William J. Parnell & I. David Abrahams
JO - Communications in Computational Physics
VL - 2
SP - 367
EP - 382
PY - 2012
DA - 2012/12
SN - 11
DO - http://doi.org/10.4208/cicp.111209.160610s
UR - https://global-sci.org/intro/article_detail/cicp/7367.html
KW - 
AB - <p style="text-align: justify;">An isolated cylindrical void is located inside an incompressible nonlinear-elastic medium whose constitutive behaviour is governed by a neo-Hookean strain energy function. In-plane hydrostatic pressure is applied in the far-field so that the void
changes its radius and an inhomogeneous region of deformation arises in the vicinity
of the void. We consider scattering from the void in the deformed configuration due
to an incident field (of small amplitude) generated by a horizontally polarized shear
(SH) line source, a distance r<sub>0</sub> (R<sub>0</sub>) away from the centre of the void in the deformed
(undeformed) configuration. We show that the scattering coefficients of this scattered
field are unaffected by the pre-stress (initial deformation). In particular, they depend
not on the deformed void radius <em>a </em>or distance r<sub>0</sub>, but instead on the <em>original</em> void size&nbsp;<em>A</em> and <em>original</em> distance R<sub>0</sub>.</p>