Load Diffusion and Absorption Problems From a Finite Fiber to Elastic Infinite Matrix

[+] Author and Article Information
Ven-Gen Lee, Toshio Mura

Theoretical and Applied Mechanics, Northwestern University, Evanston, IL 60208

J. Appl. Mech 61(3), 567-574 (Sep 01, 1994) (8 pages) doi:10.1115/1.2901497 History: Received June 05, 1992; Revised June 17, 1993; Online March 31, 2008


The load transfer behavior of a finite fiber perfectly bonded to an infinite matrix of distinct elastic moduli is investigated in this paper. The fiber is subjected to the uniformly distributed loading applied at infinity or on one cross-section of the fiber. The stress disturbance due to the existing fiber is simulated by the equivalent inclusion method, which formulates the inhomogeneity problem to a system of integral equations. By dividing the fiber into finite numbers of ring elements with uniform distributed eigenstrains, the integral equations can be further reduced to a system of algebraic equations with coefficients expressed in terms of the integrals of Lipschitz-Hankel type. Numerical results are presented for resultant axial force for various fiber length and material properties. The limiting cases of the infinite and semi-infinite fibers are also compared with the exact and approximate solutions.

Copyright © 1994 by The American Society of Mechanical Engineers
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