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TECHNICAL PAPERS

Plane Thermal Stress Analysis of an Orthotropic Cylinder Subjected to an Arbitrary, Transient, Asymmetric Temperature Distribution

[+] Author and Article Information
K.-C. Yee

Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX 78712-1063

T. J. Moon

Department of Mechanical Engineering and Texas Materials Institute, ETC II 5.160, The University of Texas at Austin, Austin, TX 78712-1063

J. Appl. Mech 69(5), 632-640 (Aug 16, 2002) (9 pages) doi:10.1115/1.1491268 History: Received August 24, 2001; Revised February 28, 2002; Online August 16, 2002
Copyright © 2002 by ASME
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References

Biot, M., 1958, “Linear Thermodynamics and the Mechanics of Solids,” Proc. 3rd U.S. National Congress of Applied Mechanics, ASME, New York, pp. 1–18.
Schapery, R. A., 1962, “Approximate Methods of Transform Inversion for Visocelastic Stress Analysis,” Proc. 4th U.S. National Congress of Applied Mechanics, ASME, New York, pp. 1075–1084.
Padovan,  N. J., 1976, “Thermoelasticity of Cylindrically Anisotropic Generally Laminated Cylinders,” ASME J. Appl. Mech., 43, pp. 124–130.
Kalam,  M. A., and Tauchert,  T. R., 1978, “Stresses in an Orthotropic Elastic Cylinder due to a Plane Temperature Distribution T(r⋅θ),” J. Therm. Stresses, 1, pp. 13–24.
Iwaki,  T., 1986, “Transient Thermal Stresses in Fully and Partially Cooled Circular Rings,” Exp. Mech., 25, pp. 163–168.
Kardomateas,  G. A., 1989, “Transient Thermal Stresses in Cylindrically Orthotropic Composite Tubes,” ASME J. Appl. Mech., 56, pp. 411–417.
Kardomateas,  G. A., 1990, “The Initial Phase of Transient Thermal Stresses due to General Boundary Thermal Loads in Orthotropic Hollow Cylinders,” ASME J. Appl. Mech., 57, pp. 719–724.
Sugano,  Y., 1990, “An Analytical Solutions for a Plane Thermal Stress Problem in Nonhomogeneous Multiply Connected Regions,” JSME Int. J., 33, pp. 136–144.
Zibdeh,  H. S., and Al Farran,  J. M., 1995, “Stress Analysis in Composite Hollow Cylinders due to an Asymmetric Temperature Distribution,” ASME J. Pressure Vessel Technol., 117, pp. 59–65.
Hata,  T., and Atsumi,  A., 1968, “Transient Thermoelastic Problem for a Transversely Anisotropic Hollow Cylinder With Temperature-Dependent Properties,” Bull. JSME, 11, pp. 404–412.
Tauchert,  T. R., 1976, “Ritz Solution for Thermoelastic Cylinders,” J. Eng. Mech. Div., 102(EM5), pp. 825–836.
Tauchert,  T. R., 1978, “Ritz Solutions for Axisymmetric Temperature and Stress Fields in Finite Elastic Cylinders,” Int. J. Numer. Methods Eng., 12, pp. 567–572.
Kalam,  M. A., 1981, “Modified Rayleigh-Ritz Method in Nonaxisymmetric Thermoelastic Analysis of an Orthotropic Cylinder,” J. Therm. Stresses, 4, pp. 31–38.
Hyer,  M. W., and Cooper,  D. E., 1988, “Thermal Stresses in Composite Tubes Using Complementary Virtual Work,” J. Therm. Stresses, 11, pp. 93–113.
Huang,  N. N., and Taucher,  T. R., 1988, “Large Deformation of Antisymmetric Angle-Ply Laminates Resulting From Nonuniform Temperature Loadings,” J. Therm. Stresses, 11, pp. 287–297.
Irving, A. C., and Francis, H. S., 1992, Elastic and Inelastic Stress Analysis, Prentice-Hall, Englewood Cliffs, NJ.

Figures

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Example orthotropic cylinder with imposed boundary conditions and initial condition
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Surface temperature history for θ=−π/2,0,π/2
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Transient temperature distribution in the radial direction for θ=−π/2,π/2
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Transient, surface temperature distribution in the circumferential direction
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Surface hoop-stress history for θ=−π/2,0,π/2
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Transient, surface hoop-stress distribution in the circumferential direction
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Transient, hoop-stress distribution in the radial direction for θ=−π/2,π/2
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Transient, radial-stress distribution in the radial direction for θ=−π/2,π/2
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Transient, shear-stress distribution in the radial direction for θ=0,π

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