Nonlinear Analyses for Coupled Problem of Temperature and Seepage Fields in Cold Regions Retaining Walls
Publication: Journal of Cold Regions Engineering
Volume 16, Issue 3
Abstract
In this paper, a mathematical mechanical model and the governing differential equations of the coupled problem of temperature and seepage fields, with phase change, are derived from the theories of heat transfer and seepage. The finite-element formulation of this problem is then obtained using Galerkin’s method. Lastly, an illustrative example is provided. The example shows that the effect of seepage field on the temperature field of cold region retaining walls is large. The effect of this factor on cold region retaining walls should be taken into account in cold regions engineering design. Comparisons of the results of this approach with the measured data in the field have been made. The agreement is very good.
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References
Bathe, K. J., and Khoshgoftaar, M. R.(1979). “Finite element free surface seepage analysis without mesh iteration.” Int. J. Numer. Analyt. Meth. Geomech., 3(1), 13–22.
Bonacina, C.et al. (1973). “Numerical solution of phase-change problems.” Int. J. Heat Mass Transf., 16(6), 1852–1832.
Dempsey, B.(1978). “A mathematical model for predicting coupled heat and water movement in unsaturated soil.” Int. J. Numer. Analyt. Meth. Geomech., 2, 19–34.
Foriero, A.et al. (1998). “Modelling of deep-seated hill slope creep in permafrost.” Can. Geotech. J., 35(4), 560–578.
Kennedy, J. B., Laba, J. T., and Mossaad, M. A.(1980). “Reinforced earth retaining walls under strip load.” Can. Geotech. J., 17, 382–394.
Kirsten, H. A. D.(1992). “Limiting equilibrium, closed-form elastic, and numerical plastic analyses of stability of earth wall reinforced with ground rebar nails and cable anchors.” Can. Geotech. J., 29, 288–298.
Klein, J.(1981). “Finite element method for time-dependent problems of frozen soils.” Int. J. Numer. Analyt. Meth. Geomech., 5, 263–283.
Laba, J. T., and Kennedy, J. B.(1986). “Reinforced earth retaining wall analysis and design.” Can. Geotech. J., 23, 317–326.
Vaziri, H. H.(1996). “Numerical study of parameters influencing the response of flexible retaining walls.” Can. Geotech. J., 33, 290–308.
Zhang, Z. R. (1989). Heat transfer, High Educational Press, Beijing, 133–134.
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Information
Published In
Journal of Cold Regions Engineering
Volume 16 • Issue 3 • September 2002
Pages: 156 - 167
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Nov 20, 2000
Accepted: Jan 29, 2002
Published online: Aug 15, 2002
Published in print: Sep 2002
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