Elastoplastic antiplane strain in an incompressible body

2014 ◽  
Vol 55 (1) ◽  
pp. 19-29
Author(s):  
V. D. Bondar’
Keyword(s):  
Antiplane Strain ◽  
Incompressible Body

Scattering of a Love Wave by the Edge of a Thin Surface Layer

1975 ◽  
Vol 42 (4) ◽  
pp. 842-846 ◽  
Author(s):  
D. A. Simons
Keyword(s):  
Boundary Condition ◽  
Surface Layer ◽  
Reflection Coefficient ◽  
Scattered Field ◽  
Love Wave ◽  
Thin Surface Layer ◽  
Antiplane Strain ◽  
Power Flux ◽  
Power Reflection Coefficient

The antiplane strain problem of the scattering of an incident Love wave by the edge of a thin surface layer is solved. The effect of the layer is represented by a boundary condition applied at the surface of the substrate. In addition, the condition of vanishing traction on the edge of the layer is explicitly enforced. At large distances from the layer’s edge the scattered field is found to consist of a reflected Love wave and a radiated wave. The power flux identity for the problem is derived, and values of the power reflection coefficient are computed. The power flux identity is verified numerically, and the discrepancy which would arise from a failure to satisfy the condition of vanishing traction on the layer’s edge is evaluated.

A Diffraction Problem and Crack Propagation

1967 ◽  
Vol 34 (1) ◽  
pp. 100-103 ◽  
Author(s):  
A. Jahanshahi
Keyword(s):  
Exact Solution ◽  
Stress Field ◽  
Crack Propagation ◽  
Elastic Medium ◽  
Half Plane ◽  
Diffraction Problem ◽  
Shear Waves ◽  
Stress Waves ◽  
Plane Crack ◽  
Antiplane Strain

The exact solution to the problem of diffraction of plane harmonic polarized shear waves by a half-plane crack extending under antiplane strain is constructed. The solution is employed to study the nature of the stress field associated with an extending crack in an elastic medium excited by stress waves.

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