Abstract: |
In this paper, propagation of interfacial surface wave in an initially stressed reference configuration is considered. The wave is assumed to travel along the boundary of two joint compressible half spaces. For the basic formulation of the problem, non-linear theory of elasticity and theory of invariants is used. The equations governing infinitesimal motions superimposed on a finite deformation are used to the study the combined effect of initial stress and finite deformation on wave speed. For a prototype model, the results are plotted and analyzed for various numerical values of parameters involved. It is found that the wave speed is considerably affected by the presence of initial stress in the material. For various values of parameters, the admissible numerical values of initial stress and stretch ratios are also illustrated graphically. Special case of equi-biaxial deformations is considered fro brevity and results are illustrated graphically. |
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