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Structural Research Series 487PDF


Title:Wave Propagation Problems in Certain Elastic Anisotropic Half Spaces
Author(s):Caracostis, C.G.; Robinson, A.R.
Subject(s):Elastic wave propagation
Abstract:The Smirnov-Sobolev method of se1f-similar potentials is used to solve certain wave propagation problems in anisotropic media. The solutions are expressed in terms of analytic functions which are determined from the boundary conditions in a straightforward manner. Two types of problems are considered. The first type concerns the two-dimensional case of an orthotropic material under plain-strain conditions subjected to a suddenly applied line force on the surface or in the interior of a half space. The second type treats the three-dimensional problem of a point force suddenly applied on the surface of a transversely isotropic half space. This solution is formed, in general, by a rotational superposition of the solutions for a plane strain and for an anti plane problem with appropriately defined boundary conditions. The mapping of the wave fields in the complex domain composed of a four-sheeted Riemann surface is examined in detail. Some of the techniques used in the numerical treatment of certain singularities are briefly discussed. The numerical results are given in the form of time histories for the displacements and stresses in the two-dimensional case and as time histories of only the displacements in the three-dimensional case.
Issue Date:1980-12
Publisher:University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.
Series/Report:Civil Engineering Studies SRS-487
Genre:Technical Report
Sponsor:Office of Naval Research. Department of the Navy.
Contract No. N00014-75-C-0164
Project NR 064-183
Date Available in IDEALS:2009-10-27
Identifier in Online Catalog:523234

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