刘宁, 胡梦凡, 周飞. 基于键基近场动力学理论的单裂纹圆孔板冲击破坏研究[J]. 工程力学, 2020, 37(12): 9-17. doi: 10.6052/j.issn.1000-4750.2020.02.0076
引用本文:
刘宁, 胡梦凡, 周飞. 基于键基近场动力学理论的单裂纹圆孔板冲击破坏研究[J]. 工程力学, 2020, 37(12): 9-17.
doi:
10.6052/j.issn.1000-4750.2020.02.0076
LIU Ning, HU Meng-fan, ZHOU Fei. THE IMPACTED DAMAGE STUDY OF A SINGLE CLEAVAGE DRILLED COMPRESSION SPECIMEN BASED ON BOND-BASED PERIDYNAMICS[J]. Engineering Mechanics, 2020, 37(12): 9-17. doi: 10.6052/j.issn.1000-4750.2020.02.0076
Citation:
LIU Ning, HU Meng-fan, ZHOU Fei. THE IMPACTED DAMAGE STUDY OF A SINGLE CLEAVAGE DRILLED COMPRESSION SPECIMEN BASED ON BOND-BASED PERIDYNAMICS[J].
Engineering Mechanics
, 2020, 37(12): 9-17.
doi:
10.6052/j.issn.1000-4750.2020.02.0076
刘宁, 胡梦凡, 周飞. 基于键基近场动力学理论的单裂纹圆孔板冲击破坏研究[J]. 工程力学, 2020, 37(12): 9-17. doi: 10.6052/j.issn.1000-4750.2020.02.0076
引用本文:
刘宁, 胡梦凡, 周飞. 基于键基近场动力学理论的单裂纹圆孔板冲击破坏研究[J]. 工程力学, 2020, 37(12): 9-17.
doi:
10.6052/j.issn.1000-4750.2020.02.0076
LIU Ning, HU Meng-fan, ZHOU Fei. THE IMPACTED DAMAGE STUDY OF A SINGLE CLEAVAGE DRILLED COMPRESSION SPECIMEN BASED ON BOND-BASED PERIDYNAMICS[J]. Engineering Mechanics, 2020, 37(12): 9-17. doi: 10.6052/j.issn.1000-4750.2020.02.0076
Citation:
LIU Ning, HU Meng-fan, ZHOU Fei. THE IMPACTED DAMAGE STUDY OF A SINGLE CLEAVAGE DRILLED COMPRESSION SPECIMEN BASED ON BOND-BASED PERIDYNAMICS[J].
Engineering Mechanics
, 2020, 37(12): 9-17.
doi:
10.6052/j.issn.1000-4750.2020.02.0076
基于键基近场动力学理论,建立分离式霍普金森杆冲击单裂纹圆孔板动力学模型,其中霍普金森杆用一维PD模型、单裂纹圆孔板用二维PD模型描述,采用短程斥力模型描述碰撞过程,模拟冲击压缩条件下单裂纹圆孔板动态破坏行为。通过试样端面受力分析得到端面载荷的V形分布规律,解决了传统实验-数值研究法在端面加载上的局限性。研究不同入射速度下试件裂纹的扩展过程和破坏模式,准确捕获了裂纹起裂、止裂及二次起裂时间。根据键基近场动力学理论下材料动态应力强度因子计算方法,求得裂纹的起裂韧度,为材料动态断裂韧度计算提供了新的途径。
近场动力学 /
压缩单裂纹圆孔板 /
分离式霍普金森杆 /
裂纹扩展 /
动态断裂韧度
Abstract:
A dynamic analytical model is built for a single cleavage drilled compression specimen (SCDC) impacted by a split Hopkinson pressure bar based on bond-based peridynamics, in which the Hopkinson bar is simplified as 1D model and the specimen is described as 2D model. The repelling short-range force is used for modeling the impact process. The dynamic failure behaviors of the single cleavage drilled compression specimen are studied using the model. The force analysis indicates that: the stress distribution on the end faces of the specimen is showed as a V-shape pattern and it well solves the limitation of the end face loading way of the traditional experimental-numerical method. Then the crack propagation processes and failure modes are studied under different impact velocities. It shows that: the numerical model accurately predicts the times of the crack initiation, arrest and the secondary crack initiation. Simultaneously, the crack initiation toughness at the crack tip is calculated according to the algorithm of dynamic stress intensity factor in bond-based peridynamics, which provides a new method for the dynamic fracture toughness analysis of materials.
Key words:
peridynamics /
single cleavage drilled compression (SCDC) /
split Hopkinson pressure bar /
crack propagation /
dynamic fracture toughness
李戎, 杨萌, 梁斌, NODA Nao-Aki. 基于裂纹尖端应力比值的含裂纹功能梯度材料圆筒应力强度因子计算方法[J]. 工程力学, 2020, 37(4): 22 − 29.
Li Rong, Yang Meng, Liang Bin, NODA N A. Calculation method of stress intensity factor for cracked functionally graded hollow cylinder based on the ratio of stresses at crack tip [J]. Engineering Mechanics, 2020, 37(4): 22 − 29. (in Chinese)
王珊. 基于Kirchhoff板中裂纹尖端辛本征解的有限元应力恢复方法[J]. 工程力学, 2018, 35(5): 10 − 16.
Wang Shan. A stress recovery method for cracks in Kirchhoff plate based on the symplectic eigen-solutions near the crack tips [J]. Engineering Mechanics, 2018, 35(5): 10 − 16. (in Chinese)
徐文涛, 朱哲明, 曾利刚. 爆炸载荷下I型裂纹动态断裂韧度测试方法初探[J]. 岩石力学与工程学报, 2015, 34(增刊 1): 2767 − 2772.
Xu Wentao, Zhu Zheming, Zeng Ligang. Testing method study of mode-I dynamic fracture toughness under blasting loads [J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(Suppl 1): 2767 − 2772. (in Chinese)
Li Q M, Lu Y B, Meng H. Further investigation on the dynamic compressive strength enhancement of concrete-like materials based on split Hopkinson pressure bar tests, Part II: Numerical simulations [J]. International Journal of Impact Engineering, 2009, 36(12): 1335 − 1345.
doi:
10.1016/j.ijimpeng.2009.04.010
Reddish D J, Stace L R, Vanichkobchinda P, Whittles D N. Numerical simulation of the dynamic impact breakage testing of rock [J]. International Journal of Rock Mechanics and Mining Sciences, 2005, 42(2): 167 − 176.
doi:
10.1016/j.ijrmms.2004.06.004
倪敏, 苟小平, 王启智. 霍普金森杆冲击压缩单裂纹圆孔板的岩石动态断裂韧度试验方法[J]. 工程力学, 2013, 30(1): 365 − 372.
Ni Min, Gou Xiaoping, Wang Qizhi. Test method for rock dynamic fracture toughness using single cleavage drilled compression specimen impactedby split Hopkinson pressure bar [J]. Engineering Mechanics, 2013, 30(1): 365 − 372. (in Chinese)
杨井瑞, 张财贵, 周妍, 等. 用SCDC试样测试岩石动态断裂韧度的新方法[J]. 岩石力学与工程学报, 2015, 34(2): 279 − 292.
Yang Jingrui, Zhang Caigui, Zhou Yan, et al. A new method for determining dynamic fracture toughness of rock using SCDC specimens [J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(2): 279 − 292. (in Chinese)
曹富, 杨丽萍, 李炼, 等. 压缩单裂纹圆孔板(SCDC)岩石动态断裂全过程研究[J]. 岩土力学, 2017, 38(6): 1573 − 1582, 1588.
Cao Fu, Yang Liping, Li Lian, et al. Research on whole dynamical fracture process of rock using single cleavage drilled compression (SCDC) specimen [J]. Rock and Soil Mechanics, 2017, 38(6): 1573 − 1582, 1588. (in Chinese)
李炼, 罗林, 吴礼舟, 王启智. 岩石偏心圆孔单裂纹平台圆盘的动态裂纹扩展与止裂[J]. 爆炸与冲击, 2018, 38(6): 1218 − 1230.
Li Lian, Luo Lin, Wu Lizhou, Wang Qizhi. Dynamic crack propagation and arrest investigated with a cracked eccentrically-holed flattened disc of rock [J]. Explosion and Shock Waves, 2018, 38(6): 1218 − 1230. (in Chinese)
Wang X M, Zhu Z M, Wang M. Study of rock dynamic fracture toughness by using VB-SCSC specimens under medium-low speed impacts [J]. Engineering Fracture Mechanics, 2017, 181(1): 52 − 64.
Wang M, Zhu Z M, Dong Y Q, Zhou L. Study of mixed-mode I/II fractures using single cleavage semicircle compression specimens under impacting loads [J]. Engineering Fracture Mechanics, 2017, 177(1): 33 − 44.
David G, Hubert M, Alain C. New experimental and numerical techniques to study the arrest and the restart of a crack under impact in transparent materials [J]. International Journal of Solids and Structures, 2009, 46(18): 3480 − 3491.
Ai D H, Zhao Y C, Wang Q F, Li C W. Experimental and numerical investigation of crack propagation and dynamic properties of rock in SHPB indirect tension test [J]. International Journal of Impact Engineering, 2019, 126(1): 135 − 146.
黄丹, 章青, 乔丕忠, 沈峰. 近场动力学方法及其应用[J]. 力学进展, 2010, 40(4): 448 − 459.
Huang Dan, Zhang Qing, Qiao Pizhong, Shen Feng. A review on peri dynamics (PD) method and its applications [J]. Advances in Mechanics, 2010, 40(4): 448 − 459. (in Chinese)
Silling S A. Reformulation of elasticity theory for discontinuities and long-range force [J]. Journal of the Mechanics and Physics of Solids, 2000, 48(1): 175 − 209.
doi:
10.1016/S0022-5096(99)00029-0
Silling S A, Askari E. A meshfree method based on the peridynamics model of solid mechanics [J]. Computers & Structures, 2005, 83(17): 1526 − 1535.
Zaccariotto M, Mudric T, Tomasi D, et al. Coupling of FEM meshes with peridynamic grids [J]. Computer Methods in Applied Mechanics and Engineering, 2018, 330: 471 − 497.
doi:
10.1016/j.cma.2017.11.011
Diana V, Casolo S. A bond-based micropolar peridynamic model with shear deformability: Elasticity, failure properties and initial yield domains [J]. International Journal of Solids & Structures, 2019, 160: 201 − 231.
Madenci E, Oterkus E. Peridynamic theory and its applications [M]. New York: Heidelberg Dordrecht London, Springer, 2014.
Frew D J, Forrestal M J, Chen W. Pulse shaping techniques for testing brittle materials with a split Hopkinson pressure bar [J]. Experimental Mechanics, 2002, 42(1): 93 − 106.
doi:
10.1007/BF02411056
Silling S A, Lehoucq R B. Peridynamic theory of solid mechanics [J]. Advances in Applied Mechanics, 2010, 44(10): 73 − 168.
Hu W K, Youn D H, Florin B, Silling S A. The formulation and computation of the nonlocal J-integral in bond-based peridynamics [J]. International Journal of Fracture, 2012, 176(2): 195 − 206.
doi:
10.1007/s10704-012-9745-8
Christer S, Kjell E. The J-contour integral in peridynamics via displacements [J]. International Journal of Fracture, 2019, 216(2): 173 − 183.
doi:
10.1007/s10704-019-00351-3
Murti V, Valliappan S. The use of quarter point element in dynamic crack analysis [J]. Engineering Fracture Mechanics, 1986, 23(1): 585 − 614.
地址:北京清华大学新水利馆114室
邮政编码:100084
电话:(010)62788648
传真:021-64253812
电子信箱:
[email protected]
北京仁和汇智信息技术有限公司