On elastic waves in an thinly-layered laminated medium with stress couples under initial stress. (1988)

• Record Type: Journal Article
• Authors: Roy, P. Pal; Debnath, L.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 11:Number 3(1988)
• Page Start: 599
• Page End: 612
• Publication Date: 1988
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171288000729
• Languages: English
• ISSNs: 0161-1712

Abstract

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 constantsλ 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.