Open AccessThermoelastic interactions in a hollow cylinder due to a continuous heat source without energy dissipation
Author(s) -
Ashraf M. Zenkour,
Marwan Amin Kutbi
Publication year - 2020
Publication title -
materials research express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.383
H-Index - 35
ISSN - 2053-1591
DOI - 10.1088/2053-1591/ab7a61
Subject(s) - thermoelastic damping , laplace transform , dissipation , displacement (psychology) , cylinder , domain (mathematical analysis) , mathematical analysis , mathematics , field (mathematics) , mechanics , thermal , physics , geometry , thermodynamics , psychology , pure mathematics , psychotherapist
The linear generalized Green–Naghdi thermoelasticity theory without energy dissipation is employed. The study of thermoelastic interactions in a hollow cylinder under a continuous heat source is carried out. Firstly, Laplace and Hankel transforms are employed to solve the problem without the time domain. Then, the state space approach is employed to get the exact solution of the problem in the space domain. Once again, the inverse Laplace transforms is used to get the solutions in the time domain. Accurate terminologies for the temperature, thermoelastic potential, axial displacement, dilatation, and stresses are derived. Numerical outcomes for field variables are presented with the view of illustrating the theoretical results.