2025年4月11日 星期五
岩石力学与工程学报  2025, Vol. 44 Issue (4): 1001-1012    DOI: 10.3724/1000-6915.jrme.2024.0575
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基于改进后光滑GZZ准则的弹塑性本构模型在ABAQUS中的数值实现
武文杰1,武  威1,2,邹育麟3,古  浩4,朱合华1,2
(1. 同济大学 土木工程学院,上海  200092;2. 同济大学 土木工程防灾国家重点实验室,上海  200092;
3. 四川沿江攀宁高速公路有限公司,四川 攀枝花  617112;4. 四川公路桥梁建设集团有限公司勘察设计分公司,四川 成都  610093)
Numerical implementation of the elastoplastic constitutive model based on the improved smoothed GZZ criterion into ABAQUS
WU Wenjie1,WU Wei1,2,ZOU Yulin3,GU Hao4,ZHU Hehua1,2
(1. College of Civil Engineering,Tongji University,Shanghai 200092,China;2. State Key Laboratory for Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China;3. Sichuan Yanjiang Panning Expressway Co.,Ltd.,Panzhihua,Sichuan 617112,China;4. Survey and Design Company of Sichuan Road and Bridge Co.,Ltd,Chengdu,Sichuan 610093,China)
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摘要 光滑GZZ(Smoothed Zhang-Zhu)准则是近年提出的岩石三维强度准则,可以合理可靠地描述岩石材料的非线性强度特征。然而,仅有少数有限元软件配备了这一准则,且现有基于GZZ准则的本构模型程序大多在主应力空间进行,在ABAQUS中应用困难。此外,目前基于光滑GZZ准则的数值模拟往往使用关联理想弹塑性模型,忽略了岩石的塑性变形特性和强度非线性。本文改进光滑GZZ准则的塑性势函数,提出基于光滑GZZ准则的本构模型在一般应力空间的数值实现方法,避免主应力转化问题;同时,给出考虑岩石膨胀特性和强度变化的计算方法。最后通过在ABAQUS中编写UMAT子程序实现这一本构模型的计算。经3个算例验证,该模型可直接在一般应力空间进行计算,能体现岩石膨胀特性、强度非线性,数值解与解析解和模型试验结果吻合,具有较高的计算精度。
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武文杰1
武 威1
2
邹育麟3
古 浩4
朱合华1
2
关键词 岩石力学GZZ强度准则本构模型回归映射方法数值模拟    
Abstract:The Smoothed Zhang-Zhu(GZZ) criterion is a three-dimensional strength criterion for rocks proposed in recent years,which can reasonably and reliably describe the nonlinear strength characteristics of rock materials. However,only a few finite element software are equipped with this criterion,and most of the existing constitutive model programs based on the GZZ criterion are carried out in the principal stress space,making it difficult to apply in ABAQUS. In addition,the current numerical simulations based on the Smoothed GZZ criterion often use the associated ideal elastoplastic model,ignoring the plastic deformation characteristics and strength nonlinearity of rocks. In this paper,the plastic potential function of the Smoothed GZZ criterion is improved,and a numerical implementation method of the constitutive model based on the Smoothed GZZ criterion in the general stress space is proposed to avoid the problem of principal stress transformation. Meanwhile,a calculation method considering the dilation characteristics and strength variation of rocks is given. Finally,the calculation of this constitutive model is implemented by writing a UMAT subroutine in ABAQUS. Verified by three calculation examples,this model can directly conduct calculations in the general stress space,can reflect the dilation characteristics and strength nonlinearity of rocks,and the numerical solutions are in good agreement with the analytical solutions and the results of model tests,showing a relatively high calculation accuracy.
Key wordsrock mechanics    the GZZ criterion    constitutive model    return mapping algorithm    numerical simulation
    
引用本文:   
武文杰1,武 威1,2,邹育麟3,古 浩4,朱合华1,2. 基于改进后光滑GZZ准则的弹塑性本构模型在ABAQUS中的数值实现[J]. 岩石力学与工程学报, 2025, 44(4): 1001-1012.
WU Wenjie1,WU Wei1,2,ZOU Yulin3,GU Hao4,ZHU Hehua1,2. Numerical implementation of the elastoplastic constitutive model based on the improved smoothed GZZ criterion into ABAQUS. , 2025, 44(4): 1001-1012.
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