A fractional differential constitutive model for dynamic stress intensity factors of an anti-plane crack in viscoelastic materials

DOI10.1007/s10409-014-0013-1zbMath1346.74022OpenAlexW239797510MaRDI QIDQ318409

Mohammad Hasan, M. Dambrine

Publication date: 5 October 2016

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-014-0013-1

zbMATH Keywords

stress intensity factorsdynamic fractureviscoelastic materialfractional differentiationanti-plane fractureWiener-Hopf

Mathematics Subject Classification ID

Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Fracture and damage (74R99) Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)

Related Items (3)

Accurate and straightforward symplectic approach for fracture analysis of fractional viscoelastic media ⋮ Upper bounds for the blow-up time of a system of fractional differential equations with Caputo derivatives ⋮ Existence and stability of solution for a nonlinear fractional differential equation

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