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TECHNICAL PAPERS

Thermoelastic Stresses in an Axisymmetric Thick-Walled Tube Under an Arbitrary Internal Transient

[+] Author and Article Information
A. E. Segall

Engineering Science and Mechanics, The Pennsylvania State University, University Park, PA 16802

J. Pressure Vessel Technol 126(3), 327-332 (Aug 18, 2004) (6 pages) doi:10.1115/1.1762461 History: Received August 05, 2003; Revised February 12, 2004; Online August 18, 2004
Copyright © 2004 by ASME
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References

Segall,  A. E., Hellmann,  J. R., and Modest,  M. F., 1991, “Analysis of Gas-Fired Ceramic Radiant Tubes During Transient Heating: Part 1—Thermal Transient Model,” ASTM Journal of Testing and Evaluation,19, p. 454.
Segall, A. E., Hellmann, J. R., and Tressler, R. E., 1993, “Thermal Shock and Fatigue Behavior of Ceramic Tubes,” Proceedings of the 10th Biennial ASME Conference on Reliability, Stress Analysis, and Failure Prevention, New Mexico, p. 81.
Nied,  H. F., and Erogan,  F., 1983, “Transient Thermal Stress Problem for a Circumferentially Cracked Hollow Cylinder,” J. Therm. Stresses, 6, p. 1.
Hung,  C. I., Chen,  C. K., and Lee,  Z. Y., 2001, “Thermoelastic Transient Response of Multilayered Hollow Cylinder With Initial Interface Pressure,” J. Therm. Stresses, 24, p. 987.
Lee,  H. L., and Yang,  Y. C., 2001, “Inverse Problem of Coupled Thermoelasticity for Prediction of Heat Flux and Thermal Stresses in an Annular Cylinder,” Int. Commun. Heat Mass Transfer 28, p. 661.
Pisarenko, G. S., Gogotsi, G. A., and Grusheuskii, Y. L., 1978, “A Method of Investigating Refractory Nonmetallic Materials in Linear Thermal Loading,” Problemy Prochnosti, 4 , p. 36.
Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat in Solids, Oxford University Press, Great Britain.
Vedula,  V. R., Segall,  A. E., and Rangarazan,  S. K., 1998, “Transient Analysis of Internally Heated Tubular Components With Exponential Thermal Loading and External Convection,” Int. J. Heat Mass Transfer, 41(22), pp. 3675–3678.
Segall,  A. E., 2001, “Thermoelastic Analysis of Thick-Walled Pipes and Pressure Vessels Subjected to Time-Dependent Thermal Loading,” ASME J. Pressure Vessel Technol., 123(1), p. 146.
Fodor, G., 1965, Laplace Transforms in Engineering, Akademiai Kiado, Budapest.
Salzer,  H. E., 1951, “Formulas for Calculating the Error Function of a Complex Variable,” Math. Tables Aids Comput., 5, p. 67.
Abramowitz, M., and Stegun, A., eds., 1964, Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics Series 55.
Gaver,  D. P., 1966, “Observing Stochastic Processes and Approximate Transform Inversion,” Oper. Res., 14(3), p. 444.
Stehfest,  H., 1970, “Numerical Inversion of Laplace Transforms,” Commun. ACM, 13, pp. 47–49.
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Fridman, Y. B., 1964, Strength and Deformation in Nonuniform Temperature Fields, Consultants Bureau.

Figures

Grahic Jump Location
Comparison of series and FEA predictions of the transient temperature distribution across the radius of a cylinder subjected to a step temperature change on the internal surface with convection on the outer surface
Grahic Jump Location
Comparison of the “goodness-of-fit” of a 6-term polynomial and the asymptotic exponential function defined by ΔT(t)=1⋅(1−e−0.5t)
Grahic Jump Location
Comparison of series and FEA predictions of the transient temperature distribution across the radius of a cylinder subjected to an exponential heating on the internal surface with convection on the outer surface
Grahic Jump Location
Comparison of polynomial, series, and FEA predictions of the transient hoop stress distributions across the radius of a cylinder subjected to exponential heating on the internal surface of the form ΔT(t)=1⋅(1−e−0.5t) and convection on the outer surface
Grahic Jump Location
Comparison of polynomial, series, and FEA predictions of the transient axial stress distributions across the radius of a cylinder subjected to exponential heating on the internal surface of the form ΔT(t)=1⋅(1−e−0.5t) and convection on the outer surface
Grahic Jump Location
Comparison of polynomial, series, and FEA predictions of the transient radial stress distributions across the radius of a cylinder subjected to exponential heating on the internal surface of the form ΔT(t)=1⋅(1−e−0.5t) and convection on the outer surface

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