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

J. M. Herrmann, L. Schovanec

Research output: Contribution to journalArticlepeer-review

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Abstract

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 form G(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.

Original languageEnglish
Pages (from-to)41-54
Number of pages14
JournalActa Mechanica
Volume106
Issue number1-2
DOIs
StatePublished - Mar 1994

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