Asymmetric Mixed Boundary-Value Problems of the Elastic Half-Space

[+] Author and Article Information
R. A. Westmann

Firestone Flight Sciences Laboratory, California Institute of Technology, Pasadena, Calif.

J. Appl. Mech 32(2), 411-417 (Jun 01, 1965) (7 pages) doi:10.1115/1.3625815 History: Received January 24, 1964; Online September 15, 2011


Solutions are presented, within the scope of classical elastostatics, for a class of asymmetric mixed boundary-value problems of the elastic half-space. The boundary conditions considered are prescribed interior and exterior to a circle and are mixed with respect to shears and tangential displacements. Using an established integral-solution form, the problem is reduced to two pairs of simultaneous dual integral equations for which the solution is known. Two illustrative examples, motivated by problems in fracture mechanics, are presented; the resulting stress and displacement fields are given in closed form.

Copyright © 1965 by ASME
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