Antiplane deformations for anisotropic multilayered media by using the coordinate transform method
Journal
Journal of Applied Mechanics, Transactions ASME
Journal Volume
67
Journal Issue
3
Pages
597-605
Date Issued
2000
Author(s)
Lin, R.-L.
Abstract
Green’s fractions for anisotropic elastic multilayered media subjected to antiplane shear deformation are presented in this study. Tne antiplane shear information due to a con-centrated shear force and screw dislocation in an arbitrary leper was investigated indetail. A linear coordinate transformation is introduced in this study to simplify theproblem The linear coordinate transformation reduces the anisotropic multilayered prob-lem to an equivalent isoaopic problem without complicating the geometry of the problem.Explicit analytical solutions were derived using the Fourier transform and the seriesexpansion technique. Tne complete solutions for the multilayered problem consist oniy qfthe simplest solutions obtained from an irfotite homogeneous medium with concentratedloadings. Numerical resuits for the fullfield stress distribution in multilayered mediasubjected to a point body force are presented Tnese numerical results were comparedwith the solutions obtained by considering the multilayered medium as one layer withejftctiie elastic constants determined from the averaged material constants of the multi-layered medium. It is found that the shear stress iτyz of the homogeneous one layersolution is a very good approximation of the result for the multilayered medium; however, the shear stress τxz in these two solutions has a large discrepancy due to the fact that τyz is discontinuous at die interfaces of the multilayered medium. © 2000 ASME.
Type
journal article