Vol. 6, No. 1-4, 2011

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ISSN: 1559-3959
Generalized thermoelastic waves in cylinders due to localized heating

Hao Bai, Ravi Chitikireddy, Arvind H. Shah and Subhendu K. Datta

Vol. 6 (2011), No. 1-4, 31–50
Abstract

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 (Si3N4) 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
Milestones
Received: 22 March 2010
Revised: 28 June 2010
Accepted: 3 July 2010
Published: 28 June 2011
Authors
Hao Bai
Department of Mechanical Engineering
Lakehead University
955 Oliver Rd
Thunder Bay, ON  P7B 5E1
Canada
Ravi Chitikireddy
Department of Civil Engineering
University of Manitoba
Winnipeg, MB  R3T 2N2
Canada
Arvind H. Shah
Department of Civil Engineering
University of Manitoba
Winnipeg, MB  R3T 2N2
Canada
Subhendu K. Datta
Department of Mechanical Engineering
University of Colorado
Boulder, CO 80309-0427
United States