横观各向同性黏土的非正交弹塑性本构模型#br#

doi:10.13722/j.cnki.jrme.2019.0639

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摘要为了描述土体各向异性对应力应变关系的影响，基于特征应力的概念，建立横观各向同性黏土的非正交弹塑性本构模型。建模思路如下：(1) 借鉴修正应力方法将组构张量引入到特征应力概念中；(2) 根据修正特征应力空间中八面体面上的摩擦规律，建立可以综合反映土体各向异性和中主应力效应的横观各向同性土的强度准则；(3) 在修正特征应力空间中，采用倾斜屈服面描述非等向固结对土体屈服特性的影响，并引入体应变相关的硬化参数；(4) 通过基于分数阶微分的三维非正交塑性流动法则，确定横观各向同性黏土的塑性应变增量方向。模型仅需要6个可通过常规三轴试验确定的材料参数，所涉及3个模型参数均可通过材料参数得到。预测结果与试验数据的对比表明，本文提出的模型可以合理地描述横观各向同性黏土的强度及变形特征。

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	路德春
	韩佳月
	梁靖宇
	田雨
	杜修力

关键词 ：土力学, 本构模型, 各向异性, 组构张量, 特征应力, 分数阶微分, 非正交流动法则

Abstract：：In order to describe the influence of soil anisotropy on stress-strain relationship，a non-orthogonal elastoplastic constitutive model of transversely isotropic clays is established based on the concept of the modified characteristic stress. Modelling procedures are as follows：(1) By referring to the modified stress method，the fabric tensor is introduced into the characteristic stress formula to incorporate the influence of anisotropic fabric. (2) Based on the frictional rule on the octahedral plane in the modified characteristic stress space，a transversely isotropic -strength criterion reflecting the effects of soil anisotropy and intermediate principal stress is established. (3) In the modified characteristic stress space，the inclined yield surface is adopted to describe the influence of the initial anisotropic consolidation stress condition on the yield characteristics of soil by introducing the volumetric associated hardening parameter，and (4) the incremental direction of the plastic strain of transversely isotropic clays is determined by the three-dimensional non-orthogonal plastic flow rule based on the fractional partial derivative. Only six material parameters are needed in the non-orthogonal elastoplastic model，which can be determined by conventional triaxial tests，and three model parameters are concerned in the proposed model，which can all be easily determined by the determined material parameters. The comparison between model predictions and experimental results shows that the model can reasonably capture the strength and deformation properties of transversely isotropic clays.

Key words： soil mechanics constitutive model anisotropy fabric tensor characteristic stress fractional calculus non-orthogonal flow rule

引用本文:

路德春，韩佳月，梁靖宇，田雨，杜修力. 横观各向同性黏土的非正交弹塑性本构模型#br#[J]. 岩石力学与工程学报, 2020, 39(4): 793-803.
LU Dechun，HAN Jiayue，LIANG Jingyu，TIAN Yu，DU Xiuli. Non-orthogonal elastoplastic constitutive model of transversely isotropic clay#br#. , 2020, 39(4): 793-803.

链接本文:

http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2019.0639 或 http://rockmech.whrsm.ac.cn/CN/Y2020/V39/I4/793

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