Local fracture of a composite with linear rigid inclusion
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Under the conditions of the plane problem, we propose a new interpretation of boundary conditions in the model problem of elastoplastic equilibrium of a body with linear rigid inclusion whose rupture strength is finite. Stresses in the composite material do not exceed their ultimate values for the materials of the matrix, inclusion, and intermediate contact layer. We studied the two most probable mechanisms of fracture: by exfoliation, i.e., as a result of the propagation of a slip crack along the matrix-fiber interface, and by the rupture of fibers. We established the critical length of the fiber as a function of elastic and strength characteristics of the composite material. If the length of the fiber is greater than critical, the fiber ruptures into two parts; otherwise, the inclusion separates by exfoliation. For each mechanism of local fracture, we determined the ultimate values of external loading.
KeywordsBoundary Condition Composite Material External Loading Plane Problem Model Problem
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