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ADDITIONAL TECHNICAL PAPERS

General Solution for Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder due to Nonaxisymmetric Steady-State Loads

[+] Author and Article Information
M. Jabbari

Science and Research Campus, Islamic Azad University, Tehran, Iran

S. Sohrabpour

Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran

M. R. Eslami

Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran

J. Appl. Mech 70(1), 111-118 (Jan 23, 2003) (8 pages) doi:10.1115/1.1509484 History: Received October 23, 2000; Revised May 08, 2002; Online January 23, 2003
Copyright © 2003 by ASME
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References

Lutz,  M. P., and Zimmerman,  R. W., 1996, “Thermal Stresses and Effective Thermal Expansion Coefficient of a Functionally Graded Sphere,” J. Therm. Stresses, 19, pp. 39–54.
Zimmerman,  R. W., and Lutz,  M. P., 1999, “Thermal Stress and Thermal Expansion in a Uniformly Heated Functionally Graded Cylinder,” J. Therm. Stresses, 22, pp. 177–188.
Ootao,  Y., Fukuda,  T., and Tanigawa,  Y., 1989, “Transient Thermal Stress Analysis of a Multi-Layered Composite Laminate Cylinder and Its Analytical Extension of Non-Homogeneous Materials,” Theor Appl. Mech., 38, pp. 177–188.
Ootao,  Y., Tanigawa,  Y., and Fukuda,  T., 1991, “Axisymmetric Transient Thermal Stress Analysis of a Multilayered Composite Hollow Cylinder,” J. Therm. Stresses, 14, pp. 201–213.
Ootao,  Y., Akai,  T., and Tanigawa,  Y., 1993, “Three-Dimensional Transient Thermal Stress of Analysis Nonhomogeneous Circular Cylinder,” Transationcs. JSME, , 59, pp. 1684–1690 (in Japanese).
Ootao,  Y., Akai,  T., and Tanigawa,  Y., 1995, “Three-Dimensional Transient Thermal Stress Analysis of a Nonhomogeneous Hollow Circular Cylinder due to a Moving Heat Source in the Axial Direction,” J. Therm. Stresses, 18, pp. 497–512.
Ootao,  Y., Tanigawa,  Y., and Murakami,  H., 1999, “Transient Thermal Stress and Deformation of a Laminated Composite Beam Due to Partially Distributed Heat Supply,” J. Therm. Stresses, 13, pp. 193–206.
Han,  X., Liu,  G. R., and Lam,  K. Y., 2000, “A Quadratic Layer Element For Analyzing Stress Waves in FGMs and Its Application in Material Characterization,” J. Sound Vib., 236(2), pp. 307–321.
Han,  X., Liu,  G. R., and Lam,  K. Y., 2001, “Transient Waves in Plates of Functionally Graded Materials,” Int. J. Numer. Methods Eng., 52, pp. 851–865.
Obata,  Y., and Noda,  N., 1993, “Transient Thermal Stress in a Plate of Functionally Gradient Materials,” Ceramic Transactions, 34, p. 403.
Obata, Y., and Noda, N., 1995, “Transient Thermal Stresses in a Hollow Sphere of Functionally Gradient Material,” Proceedings of Thermal Stresses, Shizuola University Press, Hamamatsu, Japan, pp. 335–338.
Obata, Y., and Noda, N., 1997, “Two-Dimensional Unsteady Thermal Stresses in a Partially Heated Plate Made of Functionally Graded Material,” Proceedings of Thermal Stresses, Rochester Institute of Technology, Rochester, New York, pp. 735–738.
Obata, Y., Kanayama, K., Ohji, T., and Noda, N., 1999, “Two-Dimensional Unsteady Thermal Stresses in a Partially Heated Circular Cylinder Made of Functionally Graded Material,” Proceedings of Thermal Stresses, Pub. Branti Zew, Krakow, Poland, pp. 595–598.
Tanigawa,  Y., Morishita,  H., and Ogaki,  S., 1999, “Derivation of Systems of Fundamental Equations for a Three-Dimensional Thermoelastic Field With Nonhomogeneous Material Properties and Its Application to a Semi-Infinite Body,” J. Therm. Stresses, 22, pp. 689–711.
Tanigawa,  Y., Ootao,  Y., and Kawamura,  R., 1991, “Thermal Bending of Laminated Composite Rectangular Plates and Nonhomogeneous Plates due to Partial Heating,” J. Therm. Stresses, 14, pp. 285–308.

Figures

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Temperature distribution in the cross section of a cylinder (example 1)
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Radial displacement in the cross section of a cylinder (example 1)
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Circumferential displacement in the cross section of a cylinder (example 1)
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Radial thermal stress in the cross section of a cylinder (example 1)
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Hoop thermal stress in the cross section of a cylinder (example 1)
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Shear thermal stress in the cross section of a cylinder (example 1)
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Radial distribution of radial thermal stress σrr at θ=π/3 (example 1)
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Radial displacement in the cross section of a cylinder (example 2)
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Circumferential displacement in the cross section of a cylinder (example 2)
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Radial mechanical stress in the cross section of a cylinder (example 2)
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Hoop mechanical stress in the cross section of a cylinder (example 2)
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Shear mechanical stress in the cross section of a cylinder (example 2)

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