考虑动态拉压比影响的岩石损伤本构模型

胡学龙; 汪亦显; 尹作明; 张明; 郭盼盼; 殷志强; 张向阳

doi:10.11883/bzycj-2024-0336

考虑动态拉压比影响的岩石损伤本构模型

doi: 10.11883/bzycj-2024-0336

胡学龙^{1, 2, 3,},
汪亦显^3, ,,
尹作明⁴,
张明¹,
郭盼盼³,
殷志强¹,
张向阳¹

1.
安徽理工大学安徽省煤矿安全采掘装备制造业创新中心，安徽淮南 232001
2.
中国矿业大学煤炭精细勘探与智能开发全国重点实验室，江苏徐州 221116
3.
合肥工业大学土木与水利工程学院，安徽合肥 230009
4.
北方爆破科技有限公司，北京 100089

基金项目: 国家自然科学基金（52104114）；安徽省煤矿安全采掘装备制造业创新中心开放课题（SMSMEICAP2023003）；煤炭精细勘探与智能开发全国重点实验室开放课题（SKLCRSM22KF014）；

详细信息

作者简介:
胡学龙（1989－　），男，博士，副教授，xuelonghu@aust.edu.cn

通讯作者:
汪亦显（1980－　），男，博士，教授，wangyixian2012@hfut.edu.cn

中图分类号: O346
计量
- 文章访问数: 152
- HTML全文浏览量: 11
- PDF下载量: 70
- 被引次数: 0
出版历程
- 收稿日期: 2024-09-10
- 修回日期: 2024-10-30
- 网络出版日期: 2024-11-13

Study on the damage constitutive model of rock considering the influence of dynamic ratio of tension to compression

1.
Coal Mine Safety Mining Equipment Innovation Center of Anhui Province, Anhui University of Science and Technology, Huainan 232001, Anhui, China
2.
State Key Laboratory for Fine Exploration and Intelligent Development of Coal Resources, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China
3.
College of Civil Engineering, Hefei University of Technology, Hefei 230009, Anhui, China
4.
North Blasting Technology Co., Ltd., Beijing 10089, China

摘要

摘要: 基于连续介质损伤力学，建立了一个弹塑性损伤耦合的岩石动态本构模型。该模型以统一强度理论作为屈服准则，并引入动态拉压比充分反映应变率效应；采用有效塑性应变和体积塑性应变表示压损伤变量和用有效塑性应变表示拉损伤变量从而反映拉压条件下岩石不同的损伤演化规律；采用分段函数来刻画岩石拉压条件下的不同塑性硬化行为；基于Fortran语言和LS-DYNA用户材料自定义接口（Umat）对所建立的本构模型进行数值实现；通过岩石单轴和三轴压缩试验、岩石单轴拉伸试验和岩石弹道试验等三个经典算例对所建立的本构模型展开验证。结果表明，该本构模型能全面刻画岩石的动静态力学行为。
- 本构模型 /
- 损伤 /
- 拉压比 /
- 应变率
Abstract: Based on continuum damage mechanics, a rock dynamic constitutive model with coupled elastic-plastic damage was established. This model took the unified strength theory as the yield criterion and introduces the dynamic tensile-compressive ratio to fully reflect the strain rate effect. The effective plastic strain and volumetric plastic strain were used to represent the compressive damage variable, and the effective plastic strain was used to represent the tensile damage variable, thereby reflecting the different damage evolution laws of rocks under tensile and compressive conditions. A piecewise function was adopted to describe the different plastic hardening behaviors of rocks under tensile and compressive conditions. The established constitutive model was numerically implemented based on Fortran language and the LS-DYNA user material customization interface (Umat). The established constitutive model is verified by three classical calculation examples, namely, the uniaxial and triaxial compression tests of rocks, the uniaxial tensile test of rocks, and the ballistic test of rocks. The results showed that this constitutive model can comprehensively describe the static and dynamic mechanical behaviors of rocks.
- constitutive model /
- damage /
- ratio of tension to compression /
- strain rate

HTML全文

图 1 统一强度理论屈服面在偏平面上的轨迹

Figure 1. The trajectory of the yield surface of the unified strength theory on the deviatoric plane

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图 2 统一强度理论屈服面在主应力空间中的轨迹

Figure 2. Trajectory of the yield surface of the unified strength theory in the principal stress space

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图 3 实际静水压力p与体积应变μ的关系^[5]

Figure 3. Relationship between the actual hydrostatic pressure p and the volumetric strain μ^[5]

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图 4 应力返回算法示意图

Figure 4. Schematic diagram of stress return algorithm

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图 5 大理岩单轴压缩和三轴压缩有限元模型及边界条件

Figure 5. Finite element models and boundary conditions for uniaxial and triaxial compression of marble

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图 6 大理岩在不同围压下的应力应变曲线

Figure 6. Stress-strain curves of marble under different confining pressures

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图 7 凝灰岩单轴拉伸有限元模型及边界条件

Figure 7. Uniaxial tensile finite element model and boundary conditions of tuff

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图 8 凝灰岩单轴拉伸应力应变曲线

Figure 8. Uniaxial tensile stress-strain curve of tuff

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图 9 子弹尺寸

Figure 9. Projectile size

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图 10 子弹侵彻花岗岩试验装置^[34]

Figure 10. Projectile penetration test device for granite^[34]

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图 11 子弹侵彻花岗岩四分之一模型及边界条件

Figure 11. A quarter model for bullet penetrating granite and boundary conditions

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图 12 花岗岩动态增长因子与应变率之间的关系

Figure 12. Relationship between dynamic increase factor and strain rate of granite

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图 13 子弹以279 m/s侵彻花岗岩靶板的数值结果（考虑动态拉压比）

Figure 13. Numerical result of bullet penetrating granite target plate at an initial velocity of 279 m/s (considering dynamic ratio of tension to compression)

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图 14 子弹以279 m/s侵彻花岗岩靶板的数值结果（未考虑动态拉压比）

Figure 14. Numerical results of bullet penetrating granite target plate at an initial velocity of 279 m/s (without considering dynamic ratio of tension to compression)

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表 1 花岗岩靶板受子弹冲击后锥形塞高度和靶板背面弹坑的直径

Table 1. The cone plug height of granite target plate impacted by bullets and the diameter of crater on the back of target plate

方法	锥形塞高度/mm（相对误差）	靶板背面弹坑直径/mm（相对误差）
试验^[34]	65	312
解析值^[34]	77（18.5%）	455（45.8%）
数值模拟（考虑动态拉压比）	66（1.5%）	274（12.2%）
数值模拟（未考虑动态拉压比）	67（3.1%）	180（42.3%）

下载: 导出CSV

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