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Effect of a 2D axisymmetric cylindrical heat source on a thermoelastic thick plate
Author(s) -
Sherief Hany H.,
Zaky Mohamed F.,
ElMaghraby Nasser M.
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7221
Subject(s) - thermoelastic damping , laplace transform , rotational symmetry , mathematics , cylinder , mathematical analysis , hankel transform , traction (geology) , constant (computer programming) , bending of plates , integral transform , context (archaeology) , geometry , bessel function , bending , physics , thermal , thermodynamics , paleontology , geomorphology , biology , computer science , programming language , geology
In this study, we consider a 2D problem of a plate with finite thickness and infinite extent. The upper surface of the plate is traction free and subjected to an axisymmetric heating. The lower surface is thermally insulated and laid on a rigid foundation. A constant heat source in the form of a cylinder lies inside the plate. This problem is in the context of the generalized thermoelasticity theory with one relaxation time. Laplace and Hankel transforms are used to solve the problem. The transforms are numerically inverted. All related functions are shown graphically.