Wave Propagation Problems in Certain Elastic Anisotropic Half Spaces

Caracostis, C.G.; Robinson, A.R.

Permalink

https://hdl.handle.net/2142/14094 Copy

Description

Title

Wave Propagation Problems in Certain Elastic Anisotropic Half Spaces

Author(s)

• Caracostis, C.G.
• Robinson, A.R.

Issue Date

1980-12

Keyword(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.

Publisher

University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.

Series/Report Name or Number

Civil Engineering Studies SRS-487

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/14094

Sponsor(s)/Grant Number(s)

• Office of Naval Research. Department of the Navy.
• Contract No. N00014-75-C-0164
• Project NR 064-183

Owning Collections