Compressive Stability of Delaminated Random Short-Fiber Composites, Part I—Modeling and Methods of Analysis

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Abstract
The compressive stability of delaminated random short-fiber composites is con sidered. A mechanistic model is introduced for the problem. Both buckling stability and crack stability (i.e., delamination growth) are investigated. Two analytical methods are developed for studying the buckling stability of the delaminated com posites. The first is formulated on the basis of the well-known Rayleigh-Ritz method, including transverse shear in the composite and distorsional deformation in the delaminated ligament. The second method employs a plane-elasticity, finite-element buckling analysis. Both local buckling and coupled global and local buckling are ex amined. A fracture mechanics approach is used to study the possible compressive crack growth at buckling. The validity of the model and the accuracy and efficiency of the methods of analysis are demonstrated and discussed.