Fabrics: Orthotropic Materials With a Stress-Free Shear Mode

[+] Author and Article Information
J. Christoffersen

Department of Solid Mechanics, The Technical University of Denmark, Lyngby, Denmark

J. Appl. Mech 47(1), 71-74 (Mar 01, 1980) (4 pages) doi:10.1115/1.3153640 History: Received October 01, 1978; Revised May 01, 1979; Online July 21, 2009


A material model of elastic fabrics is proposed. In this, orthotropy and a vanishing shear rigidity is assumed. Full nonlinear equations are derived and simplifications valid for small material rotations are proposed. Even the simplified model is nonlinear, but it is demonstrated that, in certain instances, a linearization, leading to harmonic equations, is admissible. This is exemplified by the case of a crack in an infinite sheet.

Copyright © 1980 by ASME
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