Steif, Paul S.; Dollar, Anna Longitudinal shearing of a weakly bounded fiber composite. (English) Zbl 0705.73077 J. Appl. Mech. 55, No. 3, 618-623 (1988). 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. Cited in 1 Document 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 Keywords:unidirectional fiber composite; fiber-matrix interface; effective shear modulus; dilute concentration of fibers; single slipping fiber; infinite matrix; singular integral equation; solved numerically PDFBibTeX XMLCite \textit{P. S. Steif} and \textit{A. Dollar}, J. Appl. Mech. 55, No. 3, 618--623 (1988; Zbl 0705.73077) Full Text: DOI