TECHNICAL PAPERS
Oct 1, 1984

Dynamic Stresses and Displacements in Buried Pipe

Publication: Journal of Engineering Mechanics
Volume 110, Issue 10

Abstract

Dynamic response of a pipeline buried in a semi‐infinite elastic medium is investigated. The pipeline is modeled as a circular cylindrical shell of small thickness. The incident disturbances are assumed to be plane waves moving perpendicular to the axis of the pipeline. Thus, the problem is either one of plane strain, which will be examined herein, or antiplane strain. Two problems are considered: (1) The pipe is surrounded by a homogeneous soft soil; and (2) the pipe lies in a cylinder of soft soil, which is surrounded by a rock‐like material. It is shown by comparison that the stresses and displacements are significantly modified in the latter case. The response is also found to be considerably influenced by the frequency of the incident wave and depth of the embedment.

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References

1.
Achenbach, J. D., Wave Propagation in Elastic Solids, North‐Holland Publishing Co., Amsterdam, Holland, 1973.
2.
Chakraborty, T., Forced Vibrations of Continuous Pipelines due to Propagating Loads, thesis presented to the University of Colorado, at Boulder, Colo., in 1983, in partial fulfillment of the requirements for the degree of Master of Science.
3.
Datta, S. K., and El‐Akily, N., “Diffraction of Elastic Waves in a Half Space I: Integral Representations and Matched Asymptotic Expansions,” Modern Problems in Elastic Wave Propagation, J. Miklowitz and J. D. Achenbach, eds., Wiley Interscience, New York, N.Y., 1978, pp. 197–218.
4.
Datta, S. K., Shah, A. H., and El‐Akily, N., “Dynamic Behavior of a Buried Pipe in a Seismic Environment,” Journal of Applied Mechanics, American Society of Mechanical Engineers, Vol. 49, 1981, pp. 141–148.
5.
Datta, S. K., and Shah, A. H., “Dynamic Response of Buried Pipelines and Tunnels,” Earthquake Ground Motion and Its Effects on Structures, American Society of Mechanical Engineers, Vol. 53, S. K. Datta, ed., 1982, pp. 181–197.
6.
El‐Akily, N., Response of a Circular Cylindrical Shell to Disturbances in a Half Space, thesis presented to the University of Colorado, at Boulder, Colo., in 1979, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
7.
El‐Akily, N., and Datta, S. K., “Response of a Circular Cylindrical Shell to Disturbances in a Half Space,” Earthquake Engineering and Structural Dynamics, Vol. 8, 1980, pp. 469–477.
8.
El‐Akily, N., and Datta, S. K., “Response of a Circular Cylindrical Shell to Disturbances in a Half‐Space. Numerical Results,” Earthquake Engineering and Structural Dynamics, Vol. 9, 1981, pp. 477–487.
9.
Lee, V. W., and Trifunac, M. D., “Response of Tunnels to Incident SH‐waves,” Journal of the Engineering Mechanics Division, ASCE, Vol. 105, No. EM4, 1979, pp. 643–658.
10.
Mente, L. J., and French, F. W., “Response of Elastic Cylinders to Plane Shear Waves,” Journal of the Engineering Mechanics Division, ASCE, Vol. 90, No. EM5, 1964, pp. 103–118.
11.
Mow, C. C., and McCabe, W. L., “Dynamic Stresses in an Elastic Cylinder,” Journal of the Engineering Mechanics Division, ASCE, Vol. 89, No. EM3, 1963, pp. 21–41.
12.
Wong, K. C., Shah, A. H., and Datta, S. K., “Dynamic Amplification of Stresses and Displacements Induced in a Buried Tunnel,” Journal of Engineering Mechanics, ASCE, submitted.
13.
Shah, A. H., Wong, K. C., and Datta, S. K., “Diffraction of Plane SH Waves in a Half Space,” Earthquake Engineering and Structural Dynamics, Vol. 10, 1982, pp. 519–528.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 110Issue 10October 1984
Pages: 1451 - 1466

History

Published online: Oct 1, 1984
Published in print: Oct 1984

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Authors

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Subhendu K. Datta
Prof., Dept. of Mech. Engrg., and Fellow, Cooperative Inst. for Research in Environ. Sci., Univ. of Colorado, Boulder, Colo. 80309
Arvind H. Shah, M. ASCE
Prof., Dept. of Civ. Engrg., Univ. of Manitoba, Winnipeg, Canada, R3T2N2
K. C. Wong
Grad. Student, Dept. of Civ. Engrg., Univ. of Manitoba, Winnipeg, Canada, R3T2N2

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