TECHNICAL PAPERS
Jan 1, 1993

Stresses in Ground‐Freezing Problems with Infinite Boundaries

Publication: Journal of Engineering Mechanics
Volume 119, Issue 1

Abstract

The technique of solidifying wet and poorly consolidated ground is an important but highly expensive operation in the construction industry. For the technique to be effective in terms of a project's final cost a preliminary thermal design, based on an approximate solution of temperature distributions in the ground and the subsequent stress‐strain effects, has to be conducted. One such solution is obtained numerically by the use of the finite element method. This method is used to solve nonlinear heat conduction with phase‐change and thermal‐stress problems in two and three dimensions. The distribution of temperature and stress in a freezing ground body are presented for the aforementioned cases from the onset of freezing. Furthermore, one of the main features of this paper is the use of infinite elements to represent the infinite boundaries of such problems.

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References

1.
Allen, H. S., and Maxwell, R. S. (1959). A textbook of heat. The MacMillan Co., London, U.K.
2.
Askar, H. G., and Lynn, P. P. (1984). “Infinite elements for ground freezing problems.” J. Engrg. Mech. Div., ASCE, 110(2), 157–172.
3.
Bettess, P. (1977). “Infinite elements.” Int. J. Numer. Methods in Engrg., London, England, 11, 355–375.
4.
Bettess, P., and Bettess, J. A. (1984). “Infinite elements for static problems.” Engrg. Computation, 1, 4–16.
5.
Bettess, P., and Zienkiewicz, O. C. (1977). “Diffraction and refraction of surface waves using finite and infinite elements.” Int. J. Numer. Methods in Engrg., London, England, 11, 1271–1290.
6.
Bonacina, C., Comini, G., Fasano, A., and Primicerio, M. (1970). “Numerical solution of phase‐change problems.” Int. J. Heat and Mass Transfer, Oxford, England, 13, 1459–1477.
7.
Carslaw, H. S., and Jaeger, J. C. (1947). Conduction of heat in solids. Oxford Univ., Press, Oxford, England.
8.
Chen, H. S., and Mei, C. C. (1974). “Oscillations and wave forces in an offshore harbor.” Report No. 190, Ralph M. Parsons Lab. for Water Resour. and Hydrodynamics, Massachusetts Inst. of Tech., Cambridge, Mass.
9.
Cherpin, V. T., and Mellik, A. K. (1966). Experimental techniques in physical metallurgy. Asia Publishing House, Singapore.
10.
Comini, G., Delgiudice, S., Lewis, R. W., and Zienkiewicz, O. C. (1974). “Finite element solution of nonlinear heat conduction problems with special reference to phase change.” Int. J. Numer. Methods in Engrg., England, 8, 613–624
11.
Cruse, T. A. (1973). “Application of the boundary‐integral method to three‐dimensional stress analysis.” Computers and Struct., Oxford, England, 3, 509–527.
12.
Delgiudice, S., Comini, G., and Lewis, R. W. (1978). “Finite element simulation of freezing processes in soils.” Int. J. Numer. Methods in Engrg., England, 2, 223–235.
13.
Lees, M. (1966). “A linear three‐level difference scheme for quasi linear parabolic equations.” Mathematics of Computation, 20, 516–522.
14.
Lemmon, E. C. (1979). “Phase‐change techniques for finite element conduction codes.” Proc. Numer. Methods in Thermal Problems, R. W. Lewis and K. Morgan, eds., University College, Swansea, England, 149–158.
15.
Lewis, R. W., and Bass, B. R. (1976). “The determination of stresses and temperatures in cooling bodies by finite elements.” J. Heat Transfer, 98, 478–484.
16.
Lewis, R. W., and Morgan, K., and Roberts, P. M. (1984). “Determination of thermal stresses in solidification problems.” Numerical analysis of forming processes, J. F. T. Pittman, O. C. Zienkiewicz, R. D. Wood, and J. M. Alexander, eds., John Wiley and Sons, New York, N.Y., 405–431.
17.
Lynn, P. P., and Hadid, H. A. (1981). “Infinite elements with 1/rn type decay.” Int. J. Numer. Methods on Engrg., England, 17, 347–355.
18.
Lysmer, J., and Waas, G. (1972). “Shear waves in plane infinite structures.” J. Engrg. Mech. Div., ASCE, 98(1), 85–105.
19.
Morgan, K., Lewis, R. W., and Zienkiewicz, O. C. (1978). “An improved algorithm for heat conduction problems with phase change.” Int. J. Numer. Methods in Engrg., England, 12, 1191–1195.
20.
Silvester, P., and Hsieh, M. S. (1971). “Finite element solution of two‐dimensional exterior‐field problems.” Proc., Institution of Electrical Engineers, 118(12), 1743–1747.
21.
Taylor, C., and Hood, P. (1973). “A numerical solution of the Navier‐Stokes equations using the finite element technique.” Computers and Fluids, Oxford, England, 1, 73–100.
22.
Williams, J. R., Lewis, R. W., and Morgan, K. (1979). “An elasto‐viscoplastic thermal stress model with applications to the continuous casting of metals.” Int. J. Numer. Methods in Engrg., England, 14, 1–9.
23.
Wood, W. L. (1976). “On the finite element solution of an exterior boundary value problem.” Int. J. Numer. Methods in Engrg., England, 10, 885–891.
24.
Zienkiewicz, O. C. (1971). The finite element method in engineering science. 2nd Ed., McGraw‐Hill, London, England.
25.
Zienkiewicz, O. C., Kelley, D. W., and Bettess, P. (1977). “The coupling of the finite element method and boundary solution procedures.” Int. J. Numer. Methods in Engrg., England, 11, 355–375.
26.
Zienkiewicz, O. C., and Parekh, C. J. (1970). “Transient field problems: Two‐dimensional and three‐dimensional analysis by isoparametric finite elements.” Int. J. Numer. Methods in Engrg., England, 2, 61–71.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 119Issue 1January 1993
Pages: 58 - 73

History

Received: Feb 4, 1992
Published online: Jan 1, 1993
Published in print: Jan 1993

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Hasan G. Askar
Asst. Prof., Civ. Engrg. Dept., Kuwait Univ., P.O. Box 5969, 13060 Safat, Kuwait

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