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Abstract: A weak form quadrature element formulation is established for finite deformation consolidation problems of an elasto-plastic saturated soft clay. The total Lagrangian (TL) description scheme and the weak form description of biot’;s theory are adopted in the derivation of the formulation. The constitutive model of the soil skeleton is based on a multiplicative decomposition of the deformation gradient into elastic and plastic parts. The exponential flow relation between the velocity of pore fluid and hydraulic gradient is used to describe the continuity condition in biot’;s theory. Results of numerical examples are compared with those of ABAQUS and previous studies, and very good agreement is reached, demonstrating the reliability and efficiency of the present formulation. The effect of non-Darcian flow on consolidation in the finite strain range is discussed and it is shown that, with the increase of the non-Darcian model parameters, the rate of consolidation and the differential settlement decrease.

The finite deformation elastoplastic consolidation analysis is an important topic in geotechnical engineering. This paper presents a finite deformation elastoplastic consolidation analysis of soft clay by using an interesting total Lagrangian weak form quadrature element method. The multiplicative plasticity formulation is employed to describe the soil skeleton, meanwhile, an exponential flow relation between velocity of pore fluid and hydraulic gradient is used for the Biot's continuity condition. The effectiveness of the propsoed method is verified by several benchmark examples.

软粘土弹塑性大变形的求积元法分析

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