Rayleigh-type wave propagation in incompressible visco-elastic media under initial stress

doi:10.1007/s10483-018-2306-9

摘要/Abstract

摘要：

Propagation of Rayleigh-type surface waves in an incompressible visco-elastic material over incompressible visco-elastic semi-infinite media under the effect of initial stresses is discussed. The dispersion equation is determined to study the effect of different types of parameters such as inhomogeneity, initial stress, wave number, phase velocity, damping factor, visco-elasticity, and incompressibility on the Rayleigh-type wave propagation. It is found that the affecting parameters have a significant effect on the wave propagation. Cardano's and Ferrari's methods are deployed to estimate the roots of differential equations associated with layer and semi-infinite media. The MATHEMATICA software is applied to explicate the effect of these parameters graphically.

关键词: normal form theory, singularity theory, universal unfolding, transition set, strongly nonlinear Duffing system, inhomogeneity, incompressible, initial stress, Rayleigh-type wave, visco-elasticity

Abstract:

Key words: Rayleigh-type wave, incompressible, inhomogeneity, normal form theory, singularity theory, universal unfolding, transition set, strongly nonlinear Duffing system, visco-elasticity, initial stress

中图分类号:

74J15

P. SINGH, A. CHATTOPADHYAY, A. K. SINGH. Rayleigh-type wave propagation in incompressible visco-elastic media under initial stress[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(3): 317-334.

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