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Dynamic steady-state mode III fracture in a nonhomogeneous viscoelastic body

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Summary

The problem of a propagating semi-infinite mode III crack in an infinite inhomogeneous viscoelastic body is analyzed. Inertial effects are included in the equation of motion while the crack is assumed to propagate with a fixed speed. Material inhomogeneity is introduced into the problem by assuming a shear modulus of the formG(t, y)=μ(t) η(y) where |y| denotes the distance measured from the plane of the crak and μ(t) is a positive, nonincreasing, convex function of time. Expressions for the stress and displacement are derived from the solution to the corresponding Riemann-Hilbert problem. A closed form expression is derived for the energy release rate (ERR) when a Barenblatt type failure zone is incorporated into the crack model. Numerical results illustrate the combined effects of viscoelastic properties, material inhomogeneity, and the crack tip failure zone upon the ERR.

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Author notes

  1. J. M. Herrmann

    Present address: Department of Mathematics, Texas A & M University, 77843, College Station, TX

  2. L. Schovanec

    Present address: Department of Mathematics, Texas Tech University, 79409, Lubbock, TX, USA

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    1. J. M. Herrmann
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    2. L. Schovanec
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    Herrmann, J.M., Schovanec, L. Dynamic steady-state mode III fracture in a nonhomogeneous viscoelastic body. Acta Mechanica 106, 41–54 (1994). https://doi.org/10.1007/BF01300943

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    • DOI: https://doi.org/10.1007/BF01300943

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