| Abstract: |
| In this paper, propagation of Rayleigh surface wave in an initially - stressed reference configuration is considered. A surface wave is assumed to travel along the boundary of a compressible hyperelastic material. For the basic formulation of the problem, non linear theory of elasticity and theory of invariants is used. The equation governing infinitesimal motions superimposed on a finite deformation are used to study the combined effect of initial stress and finite deformation on wave speed. For prototype model, the results are plotted and analysed for various numerical values of parameters involved. It is found that the surface wave speed is considerably affected by compression and tension as well as due to the stretch ratios of deformation. For values of parameters, the admissible numerical values of initial stress and stretch ratios are also illustrated graphically. |
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