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Propagation of surface waves in a homogeneous layer of finite thickness over an initially stressed functionally graded magnetic-electric-elastic half-space. (English) Zbl 1330.74012

Summary: The propagation behaviour of Love wave in an initially stressed functionally graded magnetic-electric-elastic half-space carrying a homogeneous layer is investigated. The material parameters in the substrate are assumed to vary exponentially along the thickness direction only. The velocity equations of Love wave are derived on the electrically or magnetically open circuit and short circuit boundary conditions, based on the equations of motion of the graded magnetic-electric-elastic material with the initial stresses and the free traction boundary conditions of surface and the continuous boundary conditions of interface. The dispersive curves are obtained numerically and the influences of the initial stresses and the material gradient index on the dispersive curves are discussed. The investigation provides a basis for the development of new functionally graded magneto-electro-elastic surface wave devices.

MSC:

74A40 Random materials and composite materials
74E30 Composite and mixture properties
74J15 Surface waves in solid mechanics
74F15 Electromagnetic effects in solid mechanics
74A10 Stress
74B99 Elastic materials
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