Determination of Onset of Yield due to Material Properties in a Heat Generating Two-Layered Compound Cylinder

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In this theoretical study, based on Trescas yield criterion and its associated flow rule, the elastic deformation of a centrally heated compound cylinder with fixed ends is investigated analytically by taking into consideration not only the geometrical but also the material parameters such as yield strength, modulus of elasticity, Poissons ratio, thermal conductivity and coefficient of thermal expansion. These material parameters are assumed to be independent of the temperature. The compound cylinder is assumed to be very long such that axisymmetric condition exists. Both of the constituent materials of the two layers are supposed to be elastic-perfectly plastic materials. There is heat generation in the interior solid cylinder but no heat generation in the outer hollow cylinder. Both of the cylinders are assumed to be bounded perfectly at the interface. Elastic stress analysis is performed to prevent yield in the compound cylinder. Keywords: Compound cylinder, elastic stress analysis, thermal stress, yield strength.

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22-27

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June 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] Y. Orcan and U. Gamer. Elastic-plastic deformation of a centrally heated cylinder. Acta Mech. 1991, 90: 61-80.

DOI: 10.1007/bf01177400

Google Scholar

[2] Y. Orcan. Thermal-stresses in a heat generating elastic-plastic cylinder with free ends. Int. J. Eng. Sci. 1994, 32: 883-898.

DOI: 10.1016/0020-7225(94)90043-4

Google Scholar

[3] M. Gulgec. Influence of the temperature dependence of the yield stress on the stress distribution in a heat generating elastic-plastic cylinder. Zeitschrift fur Angewandte Mathematik und Mechanic 1999, 79: 210-216.

DOI: 10.1002/(sici)1521-4001(199903)79:3<210::aid-zamm210>3.0.co;2-u

Google Scholar

[4] M. Gulgec and Y. Orcan. Elastic-plastic deformation of a heat generating tube with temperature-dependent yield stress. Int. J. Eng. Sci. 2000, 38: 89-106.

DOI: 10.1016/s0020-7225(99)00014-2

Google Scholar

[5] Y. Orcan and M. Gulgec. Influence of the temperature dependence of the yield stress on the stress distribution in a heat-generating tube with free ends. J. Therm. Stress. 2000, 23: 529-547.

DOI: 10.1080/01495730050143125

Google Scholar

[6] C. L. Tan and K. H. Lee. Elastic-plastic stress analysis of a cracked thick-walled cylinder. J. Strain Analysis, 1983, 18: 253-260.

DOI: 10.1243/03093247v184253

Google Scholar

[7] M. A. Irfan and W. Chapman. Thermal stresses in radiant tubes due to axial, circumferential and radial temperature distributions. Appl. Therm. Eng. 2009, 29: 1913–1920.

DOI: 10.1016/j.applthermaleng.2008.08.021

Google Scholar

[8] Z.-Y. Lee, C.K. Chen, C.-I. Hung. Transient thermal stress analysis of multilayered hollow cylinder. Acta Mech. 2001, 151: 75-88.

DOI: 10.1007/bf01272526

Google Scholar

[9] C.K. Chao, C.T. Chuang, R.C. Chang. Thermal stresses in a viscoelastic three-phase composite cylinder. Theor. Appl. Fract. Mech. 2007, 48: 258–268.

DOI: 10.1016/j.tafmec.2007.08.002

Google Scholar

[10] I. Tsukrov and B. Drach. Elastic deformation of composite cylinders with cylindrically orthotropic layers. Int. J. Solids Struct. 2010, 47: 25–33.

DOI: 10.1016/j.ijsolstr.2009.09.005

Google Scholar

[11] F.P. Incropera and D.P. De Witt. Fundamentals of Heat and Mass Transfer. 2nd Ed. New York: John Wiley & Sons, 1985, p.45.

Google Scholar

[12] A. Ozturk. Elastic-Plastic Stress Analysis of a Centrally Heated Composite Cylinder with Fixed Ends. M.Sc. Thesis, Gazi University, Institute of Science and Technology, 2001, p.26 (in Turkish).

Google Scholar