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TECHNICAL BRIEFS

Alternative Formulation of Elastic Fields due to Inhomogeneous Isotropic Spherical Inclusions Undergoing Shape-Conserving Volume Change

[+] Author and Article Information
S. Schmauder, W. Mader

Max-Planck-Institut für Metallforschung, Institut für Werkstoffwissenschaft, D-7000 Stuttgart 1, Germany

J. Appl. Mech 59(4), 1026-1027 (Dec 01, 1992) (2 pages) doi:10.1115/1.2894018 History: Received November 04, 1988; Revised September 11, 1990; Online March 31, 2008

Abstract

In this Note alternative formulae are derived for the elastic fields due to homogeneous initial strains in an isotropic spherical inclusion embedded in an isotropic infinite medium, assuming a shape conserving volume change of the inclusion. The bulk modulus of the inclusion and the shear modulus of the matrix are the only physically relevant elastic constants necessary to describe analytically displacements, strains, and stresses in the inclusion and the matrix.

Copyright © 1992 by The American Society of Mechanical Engineers
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