Paper Information

Journal:   MODARES MECHANICAL ENGINEERING   JANUARY 2017 , Volume 16 , Number 10 #F0070; Page(s) 147 To 154.
 
Paper: 

ANALYTICAL SOLUTION OF THE THERMOELASTICITY PROBLEM IN A THICK-WALLED CYLINDER SUBJECTED TO TRANSIENT THERMAL LOADING

 
 
Author(s):  SHAHANI AMIR REZA*, SHARIFI TORKI HAMID
 
* DEPARTMENT OF MECHANICAL ENGINEERING, K.N.TOOSI UNIVERSITY OF TECHNOLOGY, TEHRAN, IRAN
 
Abstract: 

The thermoelasticity problem in a thick-walled isotropic and homogeneous cylinder is solved analytically using finite Hankel transform and Laplace transform. Time-dependent thermal and mechanical boundary conditions are prescribed on the inner and the outer surfaces of the hollow cylinder. For the thermal boundary conditions, the temperature itself is prescribed on the boundaries.
For the mechanical boundary conditions, the tractions are prescribed on both the inner and the outer surfaces of the hollow cylinder. Obtaining the distribution of the temperature throughout the cylinder, the dynamical structural problem is solved and closed-form relations are derived for radial displacement, radial stress and hoop stress. As a case study, exponentially decaying temperature with respect to time is prescribed on the inner surface and the temperature of the outer surface is considered to be zero, where the mechanical tractions on the inner and the outer surfaces of the hollow cylinder are assumed to be zero. On solving the dynamical thermoelasticity problem, a thermal shock was observed after plotting the results. Using the obtained plots, instants of dilatation wave being reached to specific radial positions are computed and compared with those from the classical formula.

 
Keyword(s): THERMOELASTICITY, THICK-WALLED CYLINDER, TRANSIENT LOADING, HANKEL TRANSFORM
 
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