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

Autor: P. Pal Roy, L. Debnath
Jazyk: angličtina
Rok vydání: 1988
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 11, Iss 3, Pp 599-612 (1988)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171288000729
Popis: 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 λi, μi 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.
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