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Mathematics and Mechanics of Solids
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Rapid Mode III Interface Flaw Extension: Dissimilar Anisotropic Solids with Largely Arbitrary Orientations of their Principal Material Axes

L. M. Brock

Department of Mechanical Engineering, University of Kentucky, Lexington, KY 40506, USA

Two half-spaces are rigidly bonded along a semi-infinite portion of their interface, but separated by a vanishingly-thin flaw along its remainder. They consist of dissimilar elastic solids with single planes of material symmetry. The symmetry planes coincide, but principal material axes of the two solids in the common plane are of arbitrary orientation with respect to each other, and to the interface. Anti-plane shear forces moving on the flaw surfaces are assumed to create steady-state interface flaw extension; flaw and forces move at the same constant speed. Exact solutions for any constant speed show that the interface shear wave speed in each solid is sensitive to material properties and principal axis orientation. The subsonic case is studied in more detail, and the energy dissipation rate is extracted. Calculations when one solid is isotropic show its sensitivity to non-orthotropy and to ratios of the shear moduli and mass densities.

Key Words: Anisotropic • mode III dynamic fracture • debonding • principal material axes • non-orthotropy

Mathematics and Mechanics of Solids, Vol. 7, No. 5, 503-520 (2002)
DOI: 10.1177/108128650200700503
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L. M. Brock
Dynamic Anti-Plane Fracture in Arbitrary Directions in a Monoclinic Anisotropic Solid
Mathematics and Mechanics of Solids, April 1, 2005; 10(2): 183 - 196.
[Abstract] [PDF]