Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Thermoelastic analysis of transient FGM thick cylindrical shells using first order shear deformation theory with considering the vertical transverse strains according to Mirsky- Herman assumption

Authors
Seyyed amirreza Vaziri 1
Mehdi ghannad 2
Mohammadreza Gharib 3
1 Faculty of Mechanical Engineering, Ph.D. Student, ShahroodUT, shahrood,Iran.
2 Faculty of Mechanical Engineering, associate professor, ShahroodUT, Shahrood,Iran
3 Assistant Professor of Mechanical Engineering, University of Torbat Heydarieh
10.30506/ijmep.2020.92301.1455
Abstract
In this article, analytical formulation of axisymmetric FGM thick-walled cylinders with power varying of mechanical and thermal properties under transient heating using first order shear deformation theory is presented. Equilibrium equations are derived from virtual work principles and energy method. Also, the transient heat transfer equation is solved by separation of variables, generalized Bessel function, and Eigenfunction method. General thermal boundary condition involving conduction and convection without heat source is considered. At the end the results of the analytical solution are compared with the finite element method, for this aim cylinder is modeled in Abaqus. The effects of time varying on stress and displacement distribution has been studied in this paper. according to results increasing time lead to increase the stress and displacement, by the way after a moment the stress and displacement are time-independent and they become constant. the boundary condition of two ends and thermal boundary condition play a significant role in results.
Keywords
Thick-walled cylinder
Functionally graded materials
Transient heat transfer
First order Mirsky-Herman theory
Virtual work principle

Subjects

  • Receive Date 20 August 2018
  • Revise Date 02 November 2018
  • Accept Date 16 September 2020