This paper presents a perfect analytical solution of the hyperbolic asymmetric heat conduction equation and the related thermal displacement equation within a long hollow cylinder (plain strain condition) exposed to a harmonic boundary condition. | An exact analytical solution of non-Fourier thermal stress in cylindrical shell under periodic boundary condition Engineering Solid Mechanics 2 2014 293-302 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm An exact analytical solution of non-Fourier thermal stress in cylindrical shell under periodic boundary condition Mohammad Reza Talaeea MansoorAlizadehb and Sadra Bakhshandehc a Assistant Professor Department of Railway Engineering Iran University of Science and Technology IUST Tehran Iran b Assistant Professor Department of Mechanical Engineering Iran University of Science and Technology IUST Tehran Iran c . graduate Department of Railway Engineering Iran University of Science and Technology IUST Tehran Iran ARTICLE INFO ABSTRACT Article history This paper presents a perfect analytical solution of the hyperbolic asymmetric heat conduction Received March 6 2014 equation and the related thermal displacement equation within a long hollow cylinder plain Accepted 23 August 2014 strain condition exposed to a harmonic boundary condition. The material is assumed to be Available online homogeneous and isotropic with temperature-independent thermal properties. The standard 24 August 2014 Keywords method of separation of variables is used for solving the problem with time-independent Non-Fourier Conduction boundary conditions and the Duhamel integral is used for applying the time-dependency. The Analytical Solution results show the wave behavior of Non-Fourier thermal stresses and higher oscillation Cylindrical Coordinate amplitude in comparison with Fourier one. The developed analytic answer can be applied for Harmonic Boundary Conditions modeling cylindrical shell of nuclear rod and can be applied as a benchmark to validate the other numerical solutions. 2014 Growing Science Ltd. All rights reserved. 1. Introduction In the classical heat conduction theory which is based on Fourier s law heat flux has a .
