A method is presented of simulating the randomly occurring damage in a parallel fiber composite subject to static loading. A three-dimensional finite element is used for the matrix material and a two-node truss element for the fibers. Individual fiber strengths vary randomly along their lengths and a series of problems are solved, successively accounting for the failure of the lowest strength remaining fiber. Stress concentration effects intro duced by fiber failure are considered. Force-deflection curves are obtained. Failure stress of the entire model can be estimated by observing the num ber of fiber failures per load increment.
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References
1.
R.A. Larder, "The Stochastic Finite Element Simulation of the Nonlinear Structural Response of Fibrous Composite Materials," Dr. Engr. Thesis, U.C. Davis, Jan. 1975.
2.
R. Hill, Mathematical Theory of Plasticity, Clarendon Press , 1950.
3.
C.C. Chamis, "Failure Criteria for Filamentary Composites," N.A.S.A. Report TN-D-5367 August 1969.
4.
E.M. Wu, "Phenomenological Anisotropic Failure Criterion," to be published in Treatise on Composite Materials, Academic press.
5.
S.W. Tsai, and D.F. Adams, "The Influence of Random Filament Packing on the Transverse Stiffness of Unidirectional Composites," Journal of Composite Materials , Vol. 3 (1969), p. 369.
6.
R.T. Langland, "Probabilistic Theory of Structures using Finite Elements," Ph.D. Thesis, U.C. Davis, May 1961.
7.
O.C. Zienkiewicz , The Finite Element Method in Engineering Science , McGraw-Hill, 1971. 8. L.J. Broutman, and G. Panizza, "Micro-mechanics Studies of Rubber-Reinforced Glassy Polymers," Journal of Polymeric Materials, Vol. 1 (1971) pp. 95, 109.
8.
W.B. Rosen, "Textile Failure of Fibrous Composites," AIAA Journal , Vol. 2 (1964), p. 1964.
9.
C. Zweben, "A Bounding Approach to the Strength of Composite Materials," Jet Propulsion Laboratory Report DO-2272, 1971.
