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Finite-amplitude Love waves in a pre-stressed compressible elastic half-space with a double surface layer |
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| Institution: | 1. School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China;2. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;3. Ocean Engineering Joint Research Center of DUT-UWA, China\n;4. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;1. College of Civil Engineering, Hebei University of Engineering, Handan 056038, PR China;2. Department of Civil Engineering, The University of Akron, OH 44325-3905, USA |
| Abstract: | The dispersive behavior of finite-amplitude time-harmonic Love waves propagating in a pre-stressed compressible elastic half-space overlaid with two compressible elastic surface layers of finite thickness is investigated. The half-space and layers are made of different pre-stressed compressible neo-Hookean materials. The dispersion relation which relates wave speed and wavenumber is obtained in explicit form. Results for the energy density and energy flux of the waves are also presented. The special case where the interfaces between the layers and the half-space are principal planes of the left Cauchy–Green deformation tensor is also investigated. Numerical results are presented showing the variation of the Love wave speed with the pre-stress and the propagation angle. |
| Keywords: | Compressible Dispersion curves Finite-amplitude waves Love waves Non-linear elasticity Pre-stress |
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