Investigation of a fractional derivative creep model of clay and its numerical implementation
Investigation of a fractional derivative creep model of clay and its numerical implementation
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DOI：
10.1016/j.compgeo.2019.103387
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发表时间：
2020-03-01
影响因子：
5.3
通讯作者：
Cui, Zhen-Dong
中科院分区：
文献类型：
--
作者：
Xu, Xu-Bing;Cui, Zhen-Dong
分数阶微积分已成功应用于表征弹性粘塑性材料的流变性能。然而，分数阶导数本构模型很少涉及土体，并且很少通过分数阶微积分讨论三轴蠕变试验的主题。本研究提出了一个描述上海海相粘土随时间变化的分数阶导数模型。在Merchant模型中引入分数元，建立了分数阶微分Merchant（FDM）模型。 FDM模型与Merchant模型计算值的比较表明，FDM模型能够更好地描述粘土的瞬时弹性变形、衰减蠕变和稳态蠕变阶段。 FDM模型被实施到ABAQUS中的有限元代码中，用于模拟蠕变试验。模拟表明，开发模型具有良好的预测粘土随时间变化的能力。
The fractional calculus has been successfully applied to characterize the rheological property of elastic visco-plastic materials. However, soils were seldom involved in fractional derivative constitutive models, and the topic of triaxial creep tests is rarely discussed through fractional calculus. This study presents a fractional derivative model that describes the time-dependent behavior of Shanghai marine clay. The fractional derivative Merchant (FDM) model is established by introducing fractional element into the Merchant model. The comparison of the calculated values of the FDM model and the Merchant model shows that the FDM model can better describe the instant elastic deformation, attenuation creep and steady-state creep stages of the clay. The FDM model was implemented into a finite-element code in ABAQUS, which is used to simulate the creep tests. The simulations demonstrate that the development model has good ability to predict the time-dependent behavior of clay.