A Simple Model for the Compressive Failure of Weakly Bonded, Fiber-Reinforced Composites

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Abstract
A model for the compressive failure of fiber-reinforced composites with brittle, weakly bonded constituents is presented. This model is an extension of the classic fiber micro buckling analysis to situations in which slippage occurs at the fiber-matrix interface when the interfacial shear stress reaches some critical value. Slippage is found to eliminate the support usually offered by the matrix to the fiber and, thereby, leads to substantially lower predictions of compressive strength. An explicit formula for the compressive strength in terms of the interfacial shear strength and the degree of fiber misalignment is derived, and comparisons with experiments are discussed.

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