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Numerical formulation for a dynamic analysis of the plastic behavior in saturated granular soils

Song, Chi Yong

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2003, Doctor of Philosophy, Ohio State University, Civil Engineering.
The behavior of saturated soils is dominated by the interaction between solid phase and fluid phase. This interaction is particularly strong in dynamic problems and causes the catastrophic loss of strength known as liquefaction. This study presents a numerical frame work developed for the dynamic analysis of wave propagation characteristics in saturated granular soils. The description of dynamic behaviors in saturated soils proposed by Hiremath (1987) is formulated in the numerical procedure with the variational formulation by Sandhu (1975a, 1975b, 1976). Singh’s elastic-plastic Cap model (1972) is incorporated as a constitutive relation for the plastic behavior of solid phase. The constitutive model is extended for the prediction of non-linear elastic behavior of a granular soil. A predictor-corrector form of Newmark method performs direct time domain integration. For the verifications of the numerical procedure, numerical predictions are compared with analytical solutions for the case of an elastic solid and laboratory experimental equipped with a shock tube apparatus for the case of an elastic-plastic solid. Comparison results show that the numerical predictions are in good agreement with analytical solutions. The comparison between numerical predictions and experimental test results shows that numerical predictions agree with experimental observations in the cases for the sand solid, but with the lead shot solid, numerical predictions experience difficulties by oscillatory responses in predicted pore pressures. To solve oscillatory response problem, solid damping equivalent to the mass coupling is evaluated. Predictions of non-linear elastic-plastic responses with the equivalent solid damping are agree well with experimental observations. The numerical procedure presented in this study can be used for the study of dynamic problems in geotechnical engineering particularly related to liquefaction that is typically caused by the loss of effective stress due to the build-up of pore pressure.
William Wolfe (Advisor)

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Citations

  • Song, C. Y. (2003). Numerical formulation for a dynamic analysis of the plastic behavior in saturated granular soils [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1070309764

    APA Style (7th edition)

  • Song, Chi Yong. Numerical formulation for a dynamic analysis of the plastic behavior in saturated granular soils. 2003. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1070309764.

    MLA Style (8th edition)

  • Song, Chi Yong. "Numerical formulation for a dynamic analysis of the plastic behavior in saturated granular soils." Doctoral dissertation, Ohio State University, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=osu1070309764

    Chicago Manual of Style (17th edition)