Abstract
In this work, a wave propagation formulation in a layered half space is presented. A viscoelastic layer is considered to be fixed to an elastic half space. The inhomogeneity in various reflected and refracted waves is caused due to the viscoelastic layer. In the analysis, the low-loss approximation is considered for the viscoelastic layer. Using the matrix formulation of Thomson [1] and Haskell [2], the free surface displacement functions are derived by considering boundary conditions. The effect of medium parameters and wave types on the wave propagation behavior is studied numerically and conclusions are drawn.
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Abbreviations
- \(\psi _{ijkl}\) :
-
Relaxation tensor
- \(\Phi \) :
-
Scalar potential
- \(\varvec{\Psi }\) :
-
Vector potential
- \(\lambda \),\(\mu \):
-
Lam\({\acute{\mathrm{e}}}\) parameters
- Q :
-
Quality factor
- \(\mathbf {p_{L}}\) :
-
Propagation vector
- \(\mathbf {a_{L}}\) :
-
Attenuation vector
- \(c_{L}\),\(c_{T}\):
-
Wave speeds
References
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Kumar, P., DasGupta, A., Bhattacharyya, R. (2021). Propagation of Viscoelastic Waves in a Single Layered Media with a Free Surface. In: Dutta, S., Inan, E., Dwivedy, S.K. (eds) Advances in Structural Vibration. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-5862-7_1
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DOI: https://doi.org/10.1007/978-981-15-5862-7_1
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