On fundamental solution of Moore-Gibson-Thompson (MGT) thermoelasticity theory

DOI10.1007/S00033-023-01996-WzbMath1524.74016OpenAlexW4367395257MaRDI QIDQ6097494

Santwana Mukhopadhyay, Bhagwan Singh

Publication date: 5 June 2023

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-023-01996-w

zbMATH Keywords

fundamental solutionelementary functionsshort-time approximationsteady vibrationMoore-Gibson-Thompson (MGT) thermoelasticity theory

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Stress (74A10)

Related Items (1)

A Moore-Gibson-Thompson heat conduction equation for non centrosymmetric rigid solids

Cites Work

• On the representation of solutions for the theory of generalized thermoelasticity with three phase-lags
• Ill-posed problems in thermomechanics
• Thermoelasticity
• Thermoelasticity without energy dissipation
• A modified Green-Lindsay thermoelasticity with strain rate to eliminate the discontinuity
• General theorems and fundamental solutions in the dynamical theory of mixtures
• Galerkin-type solution for the Moore-Gibson-Thompson thermoelasticity theory
• Galerkin-type solution for the theory of strain and temperature rate-dependent thermoelasticity
• A generalized dynamical theory of thermoelasticity
• A re-examination of the basic postulates of thermomechanics
• Thermoelasticity with Second Sound: A Review
• Moore–Gibson–Thompson thermoelasticity
• On the representations of solutions in the theory of generalized thermoelastic diffusion
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