LOAD DIFFUSION AND ABSORPTION PROBLEMS FROM A FINITE FIBER TO ELASTICINFINITE MATRIX

The load transfer behavior of a finite fiber perfectly bonded to an in finite 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 disturban ce due to the existing fiber is simulated by the equivalent inclusion method which formulates the inhomogeneity problem to a system of integ ral equations. By dividing the fiber into finite numbers of ring eleme nts with uniform distributed eigenstrains, the integral equations can be further reduced to a system of algebraic equations with coefficient s expressed in terms of the integrals of Lipschitz-Hankel type. Numeri cal results ace 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.