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Journal of Elasticity

Erschienen in:

01.02.2013

Rayleigh Waves on an Exponentially Graded Poroelastic Half Space

verfasst von: Stan Chiriţă

Erschienen in: Journal of Elasticity | Ausgabe 2/2013

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Abstract

In this paper we consider the propagation of seismic waves in isotropic poroelastic half spaces with continuously varying elastic properties, namely with an exponentially decaying depth profile. The present paper shows that the problem leads naturally to a bicubic equation. We obtain explicit inhomogeneous plane wave solutions in an exponential evanescent form with respect to the depth of half space. Further, these solutions are used to solve the boundary value problem of a Rayleigh surface wave and the secular equation is established. The results obtained theoretically are exemplified for numerical data and represented graphically for a representative poroelastic material.

Vorheriger Artikel Algebra of Transversely Isotropic Sixth Order Tensors and Solution to Higher Order Inhomogeneity Problems

Nächster Artikel A Variational Model for Plastic Slip and Its Regularization via Γ-Convergence

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Throughout this paper we will use the term isotropic in the sense defined by Gurtin [15], p. 71, that is the material at x is isotropic if the symmetry group at x equals the orthogonal group.

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Titel: Rayleigh Waves on an Exponentially Graded Poroelastic Half Space
verfasst von: Stan Chiriţă
Publikationsdatum: 01.02.2013
Verlag: Springer Netherlands
Erschienen in: Journal of Elasticity / Ausgabe 2/2013
Print ISSN: 0374-3535
Elektronische ISSN: 1573-2681
DOI: https://doi.org/10.1007/s10659-012-9388-z

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