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Dynamic fracture of idealized fiber-reinforced materials
Authors:Luke F Mannion  A C Pipkin
Institution:1. Division of Applied Mathematics, Brown University, 02912, Providence, RI, USA
Abstract:Dynamic plane stress of sheets composed of two orthogonal families of inextensible fibers, with infinitesimal elastic shearing stress response, is considered. The fibers through the tip of a propagating tear or crack carry finite forces. Fracture criteria that can be expressed in terms of these tip forces are discussed. In a particular example it is shown that the maximum energy release rate criterion leads to a circular crack trajectory, while the so-called critical force and critical stress criteria imply that the crack is L-shaped, like cracks or tears in real fibrous materials.
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