The effect of initial stress on the propagation of surface waves in a layered half-space

Nam, N.T., Merodio, J., Ogden, R.W. and Vinh, P.C. (2016) The effect of initial stress on the propagation of surface waves in a layered half-space. International Journal of Solids and Structures, 88-89, pp. 88-100. (doi:10.1016/j.ijsolstr.2016.03.019)

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Abstract

In this paper the propagation of small amplitude surface waves guided by a layer with a finite thickness on an incompressible half-space is studied. The layer and half-space are both assumed to be initially stressed. The combined effect of initial stress and finite deformation on the speed of Rayleigh waves is analyzed and illustrated graphically. With a suitable simple choice of constitutive law that includes initial stress, it is shown that in many cases, as is to be expected, the effect of a finite deformation (with an associated pre-stress) is very similar to that of an initial stress (without an accompanying finite deformation). However, by contrast, when the finite deformation and initial stress are considered together independently with a judicious choice of material parameters different features are found that do not appear in the separate finite deformation or initial stress situations on their own.

Item Type:Articles
Additional Information:This work was supported by the Ministry of Science in Spain under the project reference DPI2014-58885-R and by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under the grant no. 107.02–2014.04.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond
Authors: Nam, N.T., Merodio, J., Ogden, R.W., and Vinh, P.C.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Journal of Solids and Structures
Journal Abbr.:IJSS
Publisher:Elsevier
ISSN:0020-7683
Published Online:26 March 2016
Copyright Holders:Copyright © 2016 Elsevier Ltd.
First Published:First published in International Journal of Solids and Structures 88-89:88-100
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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