Two-dimensional thermal shock problem of fractional order generalized thermoelasticity

DOI10.1007/s00707-012-0627-yzbMath1401.74080OpenAlexW2107793744MaRDI QIDQ2392334

Hamdy M. Youssef

Publication date: 1 August 2013

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

Full work available at URL: https://doi.org/10.1007/s00707-012-0627-y

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Thermal effects in solid mechanics (74F05) Fractional derivatives and integrals (26A33)

Related Items (8)

On the theory of two-temperature thermoelasticity without energy dissipation of Green–Naghdi model ⋮ Fractional order generalized thermoelasticity in an infinite elastic solid with an instantaneous heat sources ⋮ Fractional order generalized electro-magneto-thermo-elasticity ⋮ On fractional order generalized thermoelasticity with micromodeling ⋮ Mathematical model for a magneto-thermoelastic micropolar medium with temperature-dependent material moduli under the effect of mechanical strip load ⋮ Fractional single-phase lag heat conduction and transient thermal fracture in cracked viscoelastic materials ⋮ Thermal shock fracture of an elastic half-space with a subsurface penny-shaped crack via fractional thermoelasticity ⋮ Nonlinear finite-speed thermoelasticity with physically possible fractional orders for wave propagation, reflection, and mixing analyses in annular discs with initial rotational pre-deformations

Cites Work

• Fractional radial heat conduction in an infinite medium with a cylindrical cavity and associated thermal stresses
• Fractional order generalized thermoelastic half-space subjected to ramp-type heating
• The Neumann boundary problem for axisymmetric fractional heat conduction equation in a solid with cylindrical hole and associated thermal stress
• Two-dimensional problem of a two-temperature generalized thermoelastic half-space subjected to ramp-type heating
• Variational principle of fractional order generalized thermoelasticity
• Fractals and fractional calculus in continuum mechanics
• Two-dimensional generalized thermoelasticity problem for a half-space subjected to ramp-type heating
• Fractional radial diffusion in an infinite medium with a cylindrical cavity
• Fractional heat conduction equation and associated thermal stresses in an infinite solid with spherical cavity

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