A Self-Consistent Analysis of the Stiffening Effect of Rigid Inclusions on a Power-Law Material

[+] Author and Article Information
J. M. Duva

Division of Applied Sciences, Harvard University, Cambridge, Mass. 02138

J. Eng. Mater. Technol 106(4), 317-321 (Oct 01, 1984) (5 pages) doi:10.1115/1.3225723 History: Received March 26, 1984; Revised June 05, 1984; Online September 15, 2009


An approximate constitutive relation is derived for a power-law viscous material stiffened by rigid spherical inclusions using a differential self-consistent analysis. This approach consists of two parts: the formulation of a self-consistent differential equation, and the solution of an associated kernel problem, a nonlinear boundary value problem for an isolated inclusion in an infinite power-law viscous matrix.

Copyright © 1984 by ASME
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