基于广义位势理论的本构模型的数值试验验证

doi:10.13722/j.cnki.jrme.2014.s2.015

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摘要广义位势理论从数学原理出发，直接建立岩土材料的本构模型。与传统的塑性理论相比，基于广义位势理论建立的本构模型具有很多优点，例如更少的假设、更明确的数学依据和更高的计算精度，并且该理论适用于一般的材料。广义位势理论中的二重势面模型是一个简单又实用的模型。为了说明二重势面模型的确定方法及其合理性，采用颗粒流软件PFC3D对二重势面模型进行数值试验验证，验证步骤如下：首先，采用球体颗粒生成数值试验用的材料试样，并利用PFC3D模拟该试样的常规三轴试验；然后，根据常规三轴试验结果确定该试样的二重势面模型的系数；最后，采用二重势面模型对该试样的其他应力路径三轴试验进行预测。分析结果表明，二重势面模型具有较好的预测精度。此外，本文描述的二重势面模型的确定方法可以推广到实际土体和其他材料，具有一定的参考价值。

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关键词 ：土力学, 本构模型, 广义位势理论, 二重势面模型, 数值试验, PFC3D

Abstract：From the mathematical principles，the generalized potential theory can be employed to create constitutive model of geomaterial directly. Compared with the conventional plasticity theory，creating constitutive model by the generalized potential theory has many advantages such as less assumptions，clearer mathematical basis，and better computational accuracy. This theory can also apply to general materials. The double surface model is a simple and practical constitutive model of the generalized potential theory. To explain its determination method and rationality，the particle flow code——PFC3D is used to make numerical tests to verify the double surface model. The verification process is as follows：first，creating an assembly of spherical particles as the sample of synthetic material，and simulating conventional triaxial tests of this sample by PFC3D；second，establishing the coefficients of the double surface model of this sample according to conventional triaxial test results；finally，predicting the behavior of this sample under triaxial tests with different stress paths by the double surface model. The analysis results prove that the double surface model has good prediction accuracy. Moreover，the determination method of the double surface model illustrated in this paper can apply to actual soils and other materials，which has certain reference value.

Key words： soil mechanics constitutive model generalized potential theory double surface model numerical test particle flow code 3D(PFC3D)

引用本文:

钟志辉1，2，杨光华1，2，3，4，傅旭东1，温勇1，张玉成2，3，4. 基于广义位势理论的本构模型的数值试验验证[J]. 岩石力学与工程学报, 2014, 33(S2): 3515-3522.
ZHONG Zhihui1，2，YANG Guanghua1，2，3，4，FU Xudong1，WEN Yong1，ZHANG Yucheng2，3，4. NUMERICAL TEST VERIFICATION OF CONSTITUTIVE MODEL BASED ON THE GENERALIZED POTENTIAL THEORY. , 2014, 33(S2): 3515-3522.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2014.s2.015 或 https://rockmech.whrsm.ac.cn/CN/Y2014/V33/IS2/3515

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