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

Author:

Duva J. M.1

Affiliation:

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

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

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