Determination of the thermal stress wave propagation in orthotropic hollow cylinder based on classical theory of thermoelasticity
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The thermoelasticity problem in a thick-walled orthotropic hollow cylinder is solved analytically using finite Hankel transform and Laplace transform. Time-dependent thermal and mechanical boundary conditions are applied on the inner and the outer surfaces of the cylinder. For solving the energy equation, the temperature itself is considered as boundary condition to be applied on both the inner and the outer surfaces of the orthotropic cylinder. Two different cases are assumed for solving the equation of motion: traction–traction problem (tractions are prescribed on both the inner and the outer surfaces) and traction–displacement (traction is prescribed on the inner surface and displacement is prescribed on the outer surface of the hollow orthotropic cylinder). Due to considering uncoupled theory, after obtaining temperature distribution, the dynamical structural problem is solved and closed-form relations are derived for radial displacement, radial and hoop stress. As a case study, exponentially decaying temperature with respect to time is prescribed on the inner surface of the cylinder and the temperature of the outer surface is considered to be zero. Owing to solving dynamical problem, the stress wave propagation and its reflections were observed after plotting the results in both cases.
KeywordsClassical thermoelasticity Orthotropic cylinder Hankel transform Stress wave
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- 5.Shahani, A.R., Momeni Bashusqeh, S.: Analytical solution of the coupled thermo-elasticity problem in a pressurized sphere. JThSt 36(12), 1283–1307 (2013)Google Scholar
- 10.Jabbari, M., Dehbani, H., Eslami, M.R.: An exact solution for classic coupled thermoelasticity in cylindrical coordinates. J. Press. Vessel Technol. 133(1), 1–10 (2011)Google Scholar
- 11.Goshima, T., Miyao, K.: Transient thermal stresses in a hollow cylinder subjected to y-ray heating and convective heat losses. NuEnD 125(2), 267–273 (1991)Google Scholar
- 14.Kouchakzadeh, M.A., Entezari, A.: Analytical solution of classic coupled thermoelasticity problem in a rotating disk. JThSt 38(1), 1269–1291 (2015)Google Scholar
- 15.Shahani, A.R., Sharifi torki, H.: Analytical solution of the thermoelasticity problem in thick-walled cylinder subjected to transient thermal loading. MME 16(10), 147–154 (2016). (in Persian)Google Scholar