An Elasto-Plastic Dynamic Constitutive Model Based on Sub-Loading Surface Theory and Application on Soil Liquefaction

Abstract eng:
It is known that the interior of the yield surface is a purely elastic domain for the conventional plastic constitutive equation. So, it is incapable of describing the plastic deformation due to the change of stress inside the yield surface (Drucker, 1988). Sub-loading surface theory assumes that the sub-loading surface always passes through the current stress point and also keeps the similar shape to the yield surface (Hashiguchi, 1980), and it expands/contracts with the plastic deformation. So, it can be extended to the description of cyclic loading behavior as has been done by Hashiguchi (1989) and by Hashiguchi and Yoshimaru (1995) for metals and by Topolnicki (1990), by Hashiguchi and Chen (1998) , by L. KONG, Y.R. ZHENG and Y.P. YAO (2003a,b) for soils. In this paper, based on sub-loading surface theory, an elasto-plastic model for dynamic constitutive relation of soil is deduced. The model is tested with the dynamic triaxial tests of sand. Then, the model is used to analyzing soil liquefaction by compiled to an explicit numerical wave method, which is based on soil mechanic model of fluid-saturated porous media theory and combined with viscous-spring artificial boundary. Finally, a soil liquefaction example induced earthquake is analyzed.

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