The Dynamic Energy Release Rate for a Steadily Propagating Antiplane Shear Crack in a Linearly Viscoelastic Body

[+] Author and Article Information
J. R. Walton

Department of Mathematics, Texas A & M University, College Station, Texas 77840

J. Appl. Mech 54(3), 635-641 (Sep 01, 1987) (7 pages) doi:10.1115/1.3173081 History: Received October 28, 1985; Revised February 17, 1987; Online July 21, 2009


The steady-state propagation of a semi-infinite, antiplane shear crack is reconsidered for a general, infinite, homogeneous and isotropic linearly viscoelastic body. As with an earlier study, the inertial term in the equation of motion is retained and the shear modulus is only assumed to be positive, continuous, decreasing, and convex. A Barenblatt type failure zone is introduced in order to cancel the singular stress, and a numerically convenient expression for the dynamic Energy Release Rate (ERR) is derived for a rather general class of crack face loadings. The ERR is shown to have a complicated dependence on crack speed and material properties with significant qualitative differences between viscoelastic and elastic material. The results are illustrated with numerical calculations for both power-law material and a standard linear solid.

Copyright © 1987 by ASME
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