Dynamic (Harmonic) Interfacial Stress Field in a Half-Plane Covered with a Prestretched Soft Layer

Authors: C. Güler¹; S. D. Akbarov²

Source: Mechanics of Composite Materials, Volume 40, Number 5, September 2004 , pp. 379-388(10)

Publisher: Springer

Abstract:

A half-plane covered with a prestretched layer is considered under the action of a periodic dynamic (harmonic) lineal load applied to the free surface of the layer. Within the framework of a piecewise homegeneous body model, with the use of equations of the three-dimensional linearized theory of elastic waves in initially stressed bodies, the problem of stress state is formulated. It is assumed that the materials of the layer and half-plane are linearly elastic, homogeneous, and isotropic, and a plane strain state is considered. The corresponding boundary-value problems are solved analyticaly by employing the exponential Fourier transformations. Numerical results are obtained in the case where the elastic modulus of the half-plane material is greater than that of the layer material. It is established that, because of softening of the layer material, the stresses on the interplane increase mainly in the vicinity of the acting force and this increase has a local character. Moreover, it is established that the prestretching of the cover layer decreases the absolute values of these stresses.

Keywords: prestretching; covered layer; half-plane; generalized Reyleigh wave

Document Type: Research article

DOI: http://dx.doi.org/10.1023/B:MOCM.0000047228.72578.92

Affiliations: 1: YTU, Department of Mathematical Engineering, Faculty of Chemistry and Metallurgy, Davutpasa Campus, 34010 Topkapi, Istanbul, Turkey 2: YTU, Department of Mathematical Engineering, Faculty of Chemistry and Metallurgy, Davutpasa Campus, 34010 Topkapi, Istanbul, Turkey. Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, Baku, Azerbaijan

Publication date: 2004-09-01

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