On thermal transients with finite wave speeds

DOI10.1007/BF01170443zbMath0526.73129OpenAlexW2011281900MaRDI QIDQ594674

Robert Tait, T. Bryant Moodie

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01170443

zbMATH Keywords

boundary subjected to step inputs of temperatureenergy relaxation functionsgoverning integro-differential equationinhomogeneous half spacelinear Gurtin-Pipkin theory of heat conductionparticular choices of heat-fluxray series approachset of differential-difference equationsvarious general properties of propagation process

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Waves in solid mechanics (74J99)

Related Items

Two-dimensional nonlinear time fractional reaction-diffusion equation in application to sub-diffusion process of the multicomponent fluid in porous media, Time-fractional heat conduction in an infinite plane containing an external crack under heat flux loading, Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion, Stresses exerted by a source of diffusion in a case of a non-parabolic diffusion equation, Heat waves, Finite speed thermal transients generated by nonuniform sources applied to circular boundaries in inhomogeneous conductors, On thermoelastic transients in a general theory of heat conduction with finite wave speeds

Cites Work

• A general theory of heat conduction with finite wave speeds
• On the growth and decay of temperature rate waves of arbitrary form
• Oscillating Progressive Shear Waves in Nonhomogeneous Viscoelastic Solids
• Waves in Inhomogeneous Viscoelastic Media of Boltzmann Type
• Ray analysis and punching problems for stretched elastic plates