On the steady-state propagation of an anti-plane shear crack in an infinite general linearly viscoelastic body

DOI10.1090/QAM/652048zbMath0525.73114OpenAlexW2565262700MaRDI QIDQ3038799

Jay R. Walton

Publication date: 1982

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/652048

zbMATH Keywords

stress intensity factorsteady-state propagationahead of and in plane of advancing crackentire stress fieldgeneral infinite homogeneous and isotropic linearly viscoelastic bodyintegrable distribution of shearing tractions travelling with crackretained inertial termssemi-infinite anti-plane shear crackshear modulus be positive, continuous, decreasing and convexsimple closed-form solution

Mathematics Subject Classification ID

Stress concentrations, singularities in solid mechanics (74G70) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Brittle damage (74R05) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (3)

The quasi-static propagation of a plane strain crack in a power-law inhomogeneous linearly viscoelastic body ⋮ Dynamic steady-state mode III fracture in a nonhomogeneous viscoelastic body ⋮ Causality and viscoelastic boundary value problems

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