- Volume 19 Issue 8
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Comparison of analysis methods of estimating behavior of soil mass above rigid culvert
암거 상부지반의 거동 평가를 위한 해석법 비교
- Lee, Seung-Hyun (Division of Architecture, Architectural Engineering and Civil Engineering, Sunmoon University)
- 이승현 (선문대학교 건축사회환경학부)
- Received : 2018.05.10
- Accepted : 2018.08.03
- Published : 2018.08.31
In order to estimate behavior of soil mass which is located straight up of reinforced concrete culvert, Ritz method and FEM were applied and arching effects between the soil mass and adjacent soil were considered for the analyses. Analysis results obtained from the Ritz method and finite element method were compared with analytical solution. In the case of estimating nodal forces considered in FEM, caution is needed that shear stress depending on depth from ground surface should be reflected regardless of local coordinate system. Comparing the displacements computed from Ritz method with those of the analytic solution, it is seen that as the power of assumed displacement function increases, differences between the computed displacements and those of analytic solution decreases. It seems that displacements of FEM becomes closer to those of analytical solution as the number of elements are increased. It is seen that stresses computed from the Ritz method don't get closer to those of the analytic solution as the power of assumed displacement function. Stresses from FEM become closer to those of analytic solution as the number of elements are increased. Comparing the analysis results from the Ritz method and FEM with those of analytic solution, it can be seen that FEM is more reliable than Ritz method.
Behavior of soil mass;Reinforced concrete culvert;Ritz method;FEM;Displacements;Stesses
- Erik Thompson, ENERGY METHODS, A Tutorial Note, Fall 1993.
- Terzaghi, K. T. and Peck, R. B., Soil mechanics in engineering practice, John Wiley & Sons, Inc., New York, London, Sydney, pp.267-268, 1967.
- Krynine, D. P., Soil mechanics, McGraw-Hill Book Company, Inc., pp. 310-312, 1947.
- M. Levinson, "The Application of the Principle of Stationary Potential Energy to Some Problems in Finite Elasticity", Journal of Applied Mechanics, Vol.32, No.3, pp.656-660, 1965. DOI: https://dx.doi.org/10.1115/1.3627274 https://doi.org/10.1115/1.3627274
- I. S, SOKOLNIKOFF, Mathematical Theory of Elasticity, Mc-Graw Hill Book Company, Inc., 1956.
- Karel Rektorys, Variational methods in mathematics, science, and engineering, D. REIDEL PUBLISHING COMPANY, 1977.
- Bruce A. Finlayson, The Method of Weighted Residuals and Variational Principles, SIAM, 2014.
- Cook, R. D., Malkus, D. S., Plesha, M. E. and Witt, R. J., Concepts and Applications of Finite Element Analysis, JOHN WILEY & SONS, INC., 2002.
- O. C. Zienkiewicz, The finite element method. Vol.1, Basic formulation and linear problems, McGraw-Hill, 1989.
- Hughes, T. J., The finite element method : linear static and dynamic finite elment analysis, Mineola, NY : Dover Publications, 2000.