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Generalized
thermoelastic waves in cylinders due to localized heating
Hao Bai, Ravi Chitikireddy, Arvind H. Shah and Subhendu K. Datta |
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Vol. 6 (2011), No. 1-4, 31–50
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Abstract |
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This paper presents a theoretical study of propagation of thermoelastic waves generated by concentrated heating of the outer surface of circular cylindrical shells. The generalized thermoelastic theory proposed by Lord and Shulman is used to model the response of a circular cylindrical shell to a pulsed laser focused on the surface of the cylinder. Guided wave modes in the cylinder are obtained by a semianalytical finite element method. Dynamic response is constructed numerically by superposition of guided wave modes. In this method, the cylinder is discretized in the radial direction into several coaxial circular cylinders (subcylinders) and the radial dependence of the displacement and temperature in each subcylinder is approximated by quadratic interpolation polynomials. Numerical results for the variation through the thickness of various physical quantities of interest at a location away from the source are presented for a silicon nitride (SiN) tube for illustration purposes. The frequency dependence of the response quantities is discussed and attention is focused on convergence and accuracy of the computed results. |
Keywords
circular cylinder, thermoelasticity, transversely
isotropic, wave propagation, thermal dynamic load, finite
element
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Milestones
Received: 22 March 2010
Revised: 28 June 2010
Accepted: 3 July 2010
Published: 28 June 2011
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Authors |
| Hao Bai | |
| Department of Mechanical
Engineering Lakehead University 955 Oliver Rd Thunder Bay, ON P7B 5E1 Canada |
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| Ravi Chitikireddy | |
| Department of Civil
Engineering University of Manitoba Winnipeg, MB R3T 2N2 Canada |
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| Arvind H. Shah | |
| Department of Civil
Engineering University of Manitoba Winnipeg, MB R3T 2N2 Canada |
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| Subhendu K. Datta | |
| Department of Mechanical
Engineering University of Colorado Boulder, CO 80309-0427 United States |
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