Finite speed thermal transients generated by nonuniform sources applied to circular boundaries in inhomogeneous conductors

DOI10.1016/0020-7225(89)90014-1zbMath0684.73060OpenAlexW1966736866MaRDI QIDQ1825709

T. Bryant Moodie, T. Sabri Öncü

Publication date: 1989

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(89)90014-1

zbMATH Keywords

decompositionPadé approximantsthermal transientslinear Gurtin-Pipkin theory of heat conductionray series methodsasymptotic wavefront expansioncircular cavitiesinhomogeneous conductorsMaxwell-Cattaneo relationnonuniform sourcesPadé-ray solution

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Padé approximation (41A21) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (3)

Wavefront expansions and nonlinear hyperbolic waves ⋮ Wave solutions for variable loading of cavities in inhomogeneous plates ⋮ Shock front analysis for axial shear wave propagation in a hyperelastic incompressible solid

Cites Work

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• On thermal transients with finite wave speeds
• Padé extensions to ray series methods and analysis of transients in inhomogeneous viscoelastic media of hereditary type
• On thermoelastic transients in a general theory of heat conduction with finite wave speeds
• Ray methods for spatially nonuniform moving tractions acting on a circular cavity
• Analysis of unloading waves from suddenly punched hole in an axially loaded elastic plate
• Padé approximants method and its applications to mechanics
• A general theory of heat conduction with finite wave speeds
• Plane Elastic Waves Generated by Dynamical Loading Applied to Edge of Circular Hole

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