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Longitudinal shearing of a weakly bounded fiber composite. (English) Zbl 0705.73077

Summary: The longitudinal shearing of a unidirectional fiber composite which sustains slippage at the fiber-matrix interface is studied theoretically. An expression for the effective shear modulus of the composite, assuming a dilute concentration of fibers, is derived. The necessary quantities are found from the solution to the problem of a single slipping fiber in an infinite matrix. A singular integral equation governing this problem is derived and solved numerically. Results for the progression of slip and for the effective shear modulus are presented.

MSC:

74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)
74C20 Large-strain, rate-dependent theories of plasticity
74E30 Composite and mixture properties
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