On elastic waves in an thinly-layered laminated medium with stress couples under initial stress

P. Pal Roy and L. Debnath

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-14

Abstract:

The present work is concerned with a simple transformation rule in finding out the composite elastic coefficients of a thinly layered laminated medium whose bulk properties are strongly anisotropic with a microelastic bending rigidity. These elastic coefficients which were not known completely for a layered laminated structure, are obtained suitably in terms of initial stress components and Lame's constants λ i , μ i of initially isotropic solids. The explicit solutions of the dynamical equations for a prestressed thinly layered laminated medium under horizontal compression in a gravity field are derived. The results are discussed specifying the effects of hydrostatic, deviatoric and couple stresses upon the characteristic propagation velocities of shear and compression wave modes.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:838939

DOI: 10.1155/S0161171288000729

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