Dynamic Response of Axisymmetric Functionally Graded Viscothermoelastic Hollow Cylinder Due to Heat Sources by Using Series Solution

DOI10.1007/978-981-15-0772-4_17zbMath1450.74006OpenAlexW3012656488MaRDI QIDQ5119763

Himani Mittal, Dinesh Kumar Sharma

Publication date: 1 September 2020

Published in: Lecture Notes in Mechanical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-0772-4_17

zbMATH Keywords

power-law inhomogeneitytime-harmonic vibrationtime-dependent heat flux

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

• Dynamic response of functionally graded cylinders due to time-dependent heat flux
• Vibration analysis of axisymmetric functionally graded viscothermoelastic spheres
• Free vibration analysis of a rigidly fixed viscothermoelastic hollow sphere
• Thermoelasticity
• Electro-magneto interaction in a two-dimensional generalized thermoelastic solid cylinder
• A generalized dynamical theory of thermoelasticity
• The Frobenius method for complex roots of the indicial equation

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