剪切双曲线型等效时间流变模型

胡亚元

doi:10.11779/CJGE201808023

剪切双曲线型等效时间流变模型 English Version

胡亚元

浙江大学滨海和城市岩土工程研究中心,浙江杭州 310058

详细信息

作者简介:
胡亚元(1986- ),男,博士,副教授,主要从事软土处理、本构关系和环境土工等方面的教学和科研。E-mail: huyayuan@zju.edu.cn。

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出版历程
- 收稿日期: 2017-07-16
- 发布日期: 2018-08-24

Shear hyperbolic-type equivalent-time rheological model

HU Ya-yuan

Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China

摘要

摘要: 为了预测变剪应力荷载下的流变变形,运用热力学内变量连续介质力学和Yin-Graham等效时间法来推导剪切流变模型。首先把Mesri双曲线型蠕变公式推广到耗散空间,在耗散空间绘制黏塑性剪应变与剪应力等效时间线。其次利用Yin-Graham等效时间法建立了黏塑性剪应变速率与等效时间关系方程,获得黏塑性剪应变速率与应力水平和黏塑性剪应变之间的函数表达式。最后利用耗散剪应力等于真实剪应力这个力学关系式,把黏塑性剪应变速率表达式和线弹性本构方程相结合,建立了一维弹黏塑性剪切流变方程,研究了流变方程分别采用绝对等效时间和相对等效时间表示的表达式。基于这个流变方程,获得了三轴固结排水剪切蠕变试验中单级加载和多级加载的剪切流变解。实例表明,剪切流变模型能够较好地模拟软土三轴固结排水剪切蠕变试验成果。
- 软土 /
- 剪切 /
- 等效时间 /
- 流变 /
- 弹黏塑性模型
Abstract: In order to predict the rheological deformation under variable shear loadings, the Yin-Graham's equivalent-time method is used to derive a shear rheological model in the framework of continuum mechanics with thermodynamic internal variables. Firstly, the Mesri's hyperbolic creep expression is generalized into dissipative space, and the equivalent-time lines between viscoplastic shear strain and shear stress are plotted in the dissipative space. Secondly, the relationship equation between shear viscoplastic strain rate and equivalent time is established using the Yin-Graham's equivalent-time method, and the function expression among shear viscoplastic strain rate, stress level and shear viscoplastic strain is obtained. Finally, after using the mechanical formula that dissipative stress is equal to the true stress and combining the expression for viscoplastic strain rate with linear elastic constitutive equation, a one-dimensional elasto-viscoplastic shear rheological model is formulated, and the expressions for rheological model are studied in terms of the absolute equivalent time and the relative equivalent time, respectively. Based on this rheological model, the analytical solutions of shear rheology are obtained for single-stage and multi-stage loading in drained triaxial shear creep tests. The case study shows that the shear rheological model can relatively well fit the test data of drained triaxial shear creep tests.
- soft clay /
- shear /
- equivalent time /
- rheology /
- elasto-viscoplastic model

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参考文献(17)

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