THERMOELASTIC RESPONSE OF A LONG TUBE SUBJECTED TO PERIODIC HEATING

Thermoelastic behavior of a long tube subjected to periodic heating is investigated analytically. The temperature distribution in the tube undera periodic boundary condition is obtained by the solution of the heat conduction equation and the application of Duhamel’s theorem afterwards. Based onplane strain condition, the thermoelastic solution of the tube is derived. Thisarticle outlines the complete solution procedure and presents some importantresults of relevance to engineering

Keywords:

Heat conduction Duhamel’s theorem, Thermoelasticity,

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Argeso, H., Eraslan, A. N., On the use of temperature-dependent physical properties in thermomechanical calculations for solid and hollow cylinders. Int. J. of Thermal Stress 47 (2008), 136-146. [2] Arslan, E., Mack, W., Eraslan A. N., Effect of a temperature cycle on a rotating elastic-plastic shaft. Acta Mech. 195 (2008), 129-140.
Boley, B. A., Weiner, J.H., Theory of Thermal Stress. 4th Ed., Wiley, New York, (1967).
Boresi, A. P., Schmidt, R. J., and Sidebottom, O. M., Advanced mechanics of materials. 5th Ed., Wiley, New York, (1993).
Carslaw, H.S., Jaeger, J.C., Conduction of Heat in Solids. Oxford University Press, Oxford, (1959).
Eraslan, A. N., Argeso, H., Computer Solutions of Plane Strain Axisymmetric Thermome- chanical Problems. Turkish J. Eng Env. Sci. 29 (2005), 369-381.
Eraslan, A. N., Argeso, H., On the Application of von Mises’ Yield Criterion to a Class of Plane Strain Thermal Stress Problems. Turkish J. Eng. Env. Sci. 29 (2005), 113-128.
Jahanian, S., On the incremental growth of mechanical structures subjected to cyclic thermal and mechanical loading. Int. J. of Pres. and Piping 71 (1997), 121-127.
Jahanian, S., Sabbaghian, M., Thermoelastoplastic and Residual Stresses in a Hollow Cylin- der With Temperature-Dependent Properties. J. of Pres. Ves. Tech. 112 (1990), 85-91.
Mack, W., Pl¨ochl, M., Transient heating of a rotating elastic-plastic shrink fit. Int. J. of Eng. Sci. 38 (2000), 921-938.
Madsen, N. K., Sincovec, R. F., PDECOL, General Collocation Software for Partial Differ- ential Equations. ACM Transactions on Mathematical Software 5 (1979), no. 3, 326-351.
Segall, A. E., Thermoelastic Stresses in an Axisymmetric Thick-Walled Tube Under an Ar- bitrary Internal Transient. J. of Press. Ves. Tech. 126 (2004), 327-332.
Timoshenko, S., Goodier, J. N.,Theory of Elasticity, 3rd Ed., McGraw Hill, New York, (1970). Department of Engineering Sciences, Middle East Technical University,06800, Ankara- TURKEY
E-mail address: kyasemin@metu.edu.tr, aeraslan@metu.edu.tr