SH-wave Green Function for a Radially Inhomogeneous Elastic Solid

2002 ◽  
Vol 2002.2 (0) ◽  
pp. 119-120
Author(s):  
Kazumi WATANABE
2003 ◽  
Vol 70 (2) ◽  
pp. 227-233 ◽  
Author(s):  
L. M. Brock

Diffraction of a plane SH-wave causes semi-infinite mode III crack extension in an unbounded linear elastic solid. The solid is nonorthotropic, with a single plane of material symmetry that is perpendicular to the crack edge. The crack plane itself lies at an arbitrary angle to the axes of material symmetry, the SH-wave direction is largely arbitrary, and extension is not necessarily instantaneous or at a constant speed. An exact transient study produces the fracture energy release rate, and uses a full-field analytical solution to derive the dynamic stress intensity factor on any plane radiating from the moving crack edge. A crack path stability analysis of the factor indicates that crack extension in the original plane can occur in directions associated with maximum and minimum values of the shear wave speed. The energy release rate for such extensions shows that, if an isotropic solid subjected to the same type of loading has the same specific fracture energy, then the nonorthotropic solid may fracture first.


2013 ◽  
Vol 753-755 ◽  
pp. 1846-1850
Author(s):  
Chun Xiang Zhao ◽  
Hui Qi ◽  
Jing Fu Nan

The Scattering of SH-wave by a cylindrical elastic inclusion on horizontal interface in bi-material space with a semicircular debonded above subsurface circular cavity have been considered using the methods of complex function and Green function. Firstly, we divide the solution domain along the interface and disconnected boundary into two half-spaces, an upper one and a lower one. And Green function was constructed by using the methods of complex function and multi-polar coordinate. Secondly, the bi-material media was connected along the horizontal interface using the idea of interface conjunction, then undetermined anti-plane forces were loaded at the linking sections respectively to satisfy continuity conditions, and a series of Fredholm integral equations of the first kind to determine that the unknown forces could be set up through continuity conditions on surface. Finally, some examples for DSCF around cylindrical elastic inclusion edge are presented and discussed. Numerical results show that subsurface circular cavitys existence notablely influences DSCF of around cylindrical elastic inclusion edge with a semicircular debonded above subsurface circular cavity.


Author(s):  
Kazumi Watanabe ◽  
Shouetsu Itou ◽  
Michio Kurashige

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