Viscoelastic Approach to Modeling Performance of Buried Pipes
Publication: Journal of Transportation Engineering
Volume 115, Issue 3
Abstract
A viscoelastic solution for a pipe buried in a homogeneous and isotropic soil is presented. The linear viscoelastic solution is obtained by transforming Hoeg's elastic solution using the (correspondence principle.) To demonstrate the time‐dependent nature of the soil‐pipe system, a comparison is made of the stresses and the deflections obtained for rigid pipes (using the concrete pipe as an example), thermosetting plastic pipes (using the reinforced plastic mortar pipe as an example), and thermoplastic pipes (using the high‐density polyethylene pipe as an example) over a period of time. Pipe‐deflection data over a time period obtained from a laboratory test for a polyvinyl chloride (PVC) pipe buried in sand is also used to back‐calculate the relaxation properties of the soil.
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References
1.
Biot, M. A. (1958). “Linear thermodynamics and the mechanics of solids.” Proc. 3d Nat. Cong. on Appl. Mech., ASME, 1–18.
2.
Bishop, R. R. (1981). “Time dependent performance of buried PVC pipe.” Proc. Int. Conf. on Underground Plastic Pipes, ASCE, New Orleans, La.
3.
Burns, J. Q., and Richard, R. M. (1964). “Attenuation of stresses for buried cylinders.” Proc. Symp. on S.S.I., Univ. of Arizona, 378–392.
4.
Carlstrom, B. (1982). “Calculation of circumferential deflections and flexural strains in underground GRP pipes used in non‐pressure applications.” Europipe '82 Conf. Papers, Basel, Switzerland.
5.
Christensen, P. M. (1971). Theory of viscoelasticity, an introduction. Academic Press, New York, N.Y.
6.
Chua, K. M., and Lytton, R. L. (1986). “Time‐dependent properties of embedment soils back‐calculated from deflections of buried pipes.” Specialty Geomech. Symp.—Interpretation of Field Testing and Design Parameters, Adelaide, Australia.
7.
Concrete pipe design manual. (1987). Am. Concr. Pipe Assoc., Vienna, Va., Oct.
8.
Fintel, M., Ed. (1974). Handbook of concrete engineering. Van Nostrand Reinhold Co., New York, N.Y.
9.
Galili, E., and Shmulevich. (1981). “A refined elastic model for soil‐pipe interaction.” Proc. Int. Conf. on Underground Plastic Pipes, ASCE, 213–226.
10.
Gaube, E., and Mueller, W. (1981). “12 Years of deformation measurements on sewer pipes from Hostalen GM5010.” Proc. Int. Conf. on Underground Plastic Pipes, ASCE, New Orleans, La.
11.
Hoeg, K. (1968). “Stresses against underground structural cylinders.” J. Soil Mech. and Found. Engrg. Div., ASCE, 94(1), 833–858.
12.
Howard, A. K. (1981). “The USBR equation for predicting flexible pipe deflection.” In: Proc. Int. Conf. on Underground Plastic Pipes, ASCE, New Orleans, La.
13.
Katona, M. G., Smith, J. M., Odello, R. S., and Allgood, J. R. (1976). “CANDE—a modern approach for the structural design and analysis of buried culverts.” Report No. FHWA‐RD‐77‐5, Federal Highway Admin., Washington, D.C., Oct.
14.
Lee, E. H. (1955). “Stress analysis in visco‐elastic bodies.” Q. J. of Applied Mathematics, 13, 193–.
15.
Marimon, A. M. (1977). “The effect of suction and temperature on the material characteristics of fine‐grained soils.” Engineering Report, Texas A&M University, College Station, Tex.
16.
Material specifications for hostalen resins. (1983). Hoechst AG, Frankfurt, West Germany.
17.
Mitchell, J. K. (1976). Fundamentals of soil behavior. John Wiley & Sons, Inc., New York, N.Y.
18.
Obert, L., and Duvall, W. I. (1967). Roark mechanics and the design of structures in rock. John Wiley & Sons, Inc., New York, N.Y.
19.
Pipkin, A. C. (1972). Lectures on viscoelasticity theory. Springer‐Verlag, Inc., New York, N.Y.
20.
Powell, P. C. (1977). The selection and use of thermoplastics. Oxford University Press.
21.
Recommendations for an international code of practice for reinforced concrete. (1964). Comité Européen de Béton, Paris, France.
22.
Riggins, M. (1981). “The viscoelastic characterization of marine sediment in largescale simple shear,” thesis presented to Texas A&M University, at College Station, Tex., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
23.
Roark, R. J., and Young, W. C. (1975). Formulas for stress and strain. 5th Ed., McGraw‐Hill Book Co., 216–238.
24.
Schapery, R. A. (1962). “Approximate methods of transform inversion for viscoelastic stress analysis. In: Proc. 4th Nat. Cong. on Applied Mechanics, Am. Soc. of Mech. Engrg., 1075–1085.
25.
Schapery, R. A. (1974). “Viscoelastic behavior and analysis of composite materials.” Mechanics of composite materials. G. P. Sendeckyl, Ed., Vol. 2, Academic Press, New York, N.Y., 99–115.
26.
Schapery, R. A., and Riggins, M. (1982). “Development of cyclic non‐linear viscoelastic constitutive equations for marine sediments.” Proc. Int. Symp. on Numerical Methods in Geomechanics, Zurich, Switzerland.
27.
Schmertmann, J. H. (1970). “Static cone to compute static settlement over sand.” J. Soil Mech. and Found. Engrg. Div., ASCE, 96(3), 1011–1043.
28.
Selig, E. T., McVay, M. C., and Chang, C. S. (1982). “Finite‐element modeling of buried concrete pipe installations.” Transp. Res. Record, 878, 17–23.
29.
Spangler, M. G. (1951). Soil engineering. International Textbook Co., Scranton, Pa.
30.
Standard specification for reinforced plastic mortar pipe. (1980). ANSI/ASTM D 3517, Am. Soc. for Testing and Materials, Philadelphia, Pa.
31.
Standard practice for underground installation of flexible reinforced thermosetting resin pipe and reinforced plastic mortar pipe. (1979). ANSI/ASTM D 3839, Am. Soc. for Testing and Materials, Philadelphia, Pa.
32.
Stevenson, H. S. (1973). “Vane shear determination of the viscoelastic shear modulus of submarine sediments,” thesis presented to Texas A&M University, at College Station, Tex., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
33.
Williams, M. L. (1964). AIAA J., 2, 785.
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Copyright © 1989 ASCE.
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Published online: May 1, 1989
Published in print: May 1989
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