基于统一强度理论的岩石弹塑性本构模型及其数值实现

胡学龙; 李克庆; 璩世杰

doi:10.11883/bzycj-2019-0044

基于统一强度理论的岩石弹塑性本构模型及其数值实现

doi: 10.11883/bzycj-2019-0044

胡学龙^{1, 2,},
李克庆^1, ,,
璩世杰¹

1.
北京科技大学土木与资源工程学院，北京 100083
2.
莫纳什大学土木工程学院，澳大利亚墨尔本 3800

基金项目: 国家自然科学基金（51274020）；国家留学基金（201806460033）

详细信息

作者简介:
胡学龙（1989－　），男，博士研究生，huxuelong@xs.ustb.edu.cn

通讯作者:
李克庆（1966－　），男，博士，教授，Lkqing2003@163.com

中图分类号: O346; TD313
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- 被引次数: 0
出版历程
- 收稿日期: 2019-02-18
- 修回日期: 2019-05-10
- 网络出版日期: 2019-06-25
- 刊出日期: 2019-08-01

The elastoplastic constitutive model of rock and its numerical implementation based on unified strength theory

HU Xuelong^{1, 2
,},
LI Keqing^{1
, ,},
QU Shijie¹

1.
School of civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China
2.
Department of Civil Engineering, Monash University, Merlbour 3800, Australia

摘要

摘要: 基于弹塑性力学理论，以统一强度准则为屈服准则，建立了考虑硬化/软化行为和应变率效应的岩石弹塑性本构模型；采用Fortran语言通过LS-DYNA的用户自定义材料接口(Umat)对该弹塑性本构模型进行编程，并把该程序生成求解器以达到对该模型进行应用的目的；通过岩石的单轴压缩实验和SHPB实验对所建的弹塑性本构模型进行验证，结果表明，该弹塑性本构模型能够反映岩石在准静态和动态下的力学行为。
- 统一强度理论 /
- 弹塑性 /
- 本构模型 /
- 应变率效应
Abstract: Based on the theory of elastoplastic mechanics, the rock elastoplastic constitutive model considering hardening/softening behavior and strain rate effect is established with the uniform strength criterion as the yield criterion. Fortran language was used to program the elastoplastic constitutive model through the user-defined material interface (Umat) of LS-DYNA. The elastoplastic constitutive model is verified by uniaxial compression test and SHPB test of rock, and the results show that the elastoplastic constitutive model can reflect the mechanical behavior of rock under quasi-static and dynamic conditions.
- unified strength theory /
- elastoplastic /
- constitutive model /
- strain rate effect

HTML全文

图 1 统一屈服准则函数在偏平面上的轨迹

Figure 1. The locus of unified strength theory on deviatoric plane

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图 2 CPA应力返回映射算法几何示意图

Figure 2. Geometric illustration of CPA stress return mapping algorithms

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图 3 岩石弹塑性本构模型数值实现流程

Figure 3. Flow chart of numerical implementation of material constitutive model

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图 4 算例1内聚力c与广义剪切塑性应变γ_p之间的关系

Figure 4. Relation between cohesion c and generalized shear plastic strain γ_p in example 1

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图 5 算例1石灰岩单轴压缩应力应变曲线

Figure 5. Stress-strain curves of limestone uniaxial compression in example 1

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图 6 算例2内聚力c与广义剪切塑性应变γ_p之间的关系

Figure 6. Relation between cohesion c and generalized shear plastic strain γ_p in example 2

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图 7 f_DIF与加载应变率之间的关系

Figure 7. Relation between f_DIF and Loading rate

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图 8 SHPB实验装置示意图

Figure 8. Illustration of SHPB test device

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图 9 岩石SHPB数值实验模型

Figure 9. Numerical model of rock SHPB test

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图 10 算例2石灰岩准静态下单轴压缩应力应变曲线

Figure 10. Stress-strain curves of limestone quasi-static uniaxial compression in example 2

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图 11 利用石灰岩试样进行SHPB实验的应变时程曲线

Figure 11. Strain time history curve for split Hopkinson pressure bar experiment with a limestone sample

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