A Discrete Element Method of Spring-Connecting Rigid for Numerical Simulation of Cracks Propagation

doi:10.7652/xjtuxb201804007

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A Discrete Element Method of Spring-Connecting Rigid for Numerical Simulation of Cracks Propagation

更新时间：2025-07-09

- A Discrete Element Method of Spring-Connecting Rigid for Numerical Simulation of Cracks Propagation
- Vol. 52, Issue 4, Pages: 48-54(2018)
- 作者机构：
  
  西安交通大学机械制造系统工程国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201804007
  CLC： TP391.9
- Online First：10 April 2018，
  
  Published：2018
- 稿件说明：
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A Discrete Element Method of Spring-Connecting Rigid for Numerical Simulation of Cracks Propagation[J]. 2018, 52(4): 48-54.
DOI：

A Discrete Element Method of Spring-Connecting Rigid for Numerical Simulation of Cracks Propagation[J]. 2018, 52(4): 48-54. DOI： 10.7652/xjtuxb201804007.

摘要

针对连结型刚体-弹簧离散元的单元排布型式对仿真裂纹扩展路径严重失真的问题

提出了一种考虑多层邻近单元作用力的离散元模型。该模型在1层、2层和3层邻近单元搜索方法下的离散元弹簧刚度参数和断裂判据由材料应变能守恒法则推导得出。采用不同层数邻近单元搜索方法对Kalthoff和Winkler的平板材料动态剪切实验的裂纹扩展轨迹进行了离散元仿真

结果表明

随着离散元模型中邻近单元搜索层数的增加

不同单元排布型式对裂纹扩展路径的影响下降; 在3层邻近单元搜索方法下

受不同单元排布影响

仿真得到的裂纹扩展的起止时间仅相差2 μs

裂纹扩展轨迹十分接近并与实验结果吻合。采用3层邻近单元搜索方法的离散元模型可以有效地仿真材料裂纹扩展路径

可望成为研究材料断裂过程的工具。

Abstract

A discrete element method considering the force acting effect on multilayer neighbor elements is proposed to solve the problem that the crack growth path is affected greatly by the discrete elements assembling form. The spring stiffness parameters and fracture criterion of the discrete element in the algorithms of one-layer adjacent neighbor search

two-layer adjacent neighbor search and three-layer adjacent neighbor search are derived using the conservation law of strain energy. The crack growth paths of Kalthoff and Winkler's plate dynamic shear test are simulated using different-layer adjacent neighbor searching algorithms. Simulation results show that the effect of the discrete elements assembling form on the crack growth path declines when the layer of adjacent neighbor search increases. The propagation process of crack is less influenced by the elements assembling form in three-layer neighbor searching algorithm

and is in good agreement with the experimental result. The difference of the crack propagating time between two discrete elements assembling forms is only 2 μs. It is concluded that the discrete element method with the three-layer adjacent neighbor searching algorithm is a useful tool for simulating the fracture process.

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references

LI Shaofan, LIU W K, ROSAKIS A J, et al. Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition [J]. International Journal of Solids and Structures, 2002, 39(5): 1213-1240.

PSAKHIE S G, SHILKO E V, GRIGORIEV A S, et al. A mathematical model of particle-particle interaction for discrete element based modeling of deformation and fracture of heterogeneous elastic-plastic materials [J]. Engineering Fracture Mechanics, 2014, 130(1): 96-115.

BÄKER M, RÖSLER J, SIEMERS C. A finite element model of high speed metal cutting with adiabatic shearing [J]. Computers and Structures, 2002, 80(5/6): 495-513.

MA Wei, LI Xiangwang, DAI Lanhong, et al. Instability criterion of materials in combined stress states and its application to orthogonal cutting process [J]. International Journal of Plasticity, 2012, 30/31: 18-40.

LJUSTINA G, LARSSON R, FAGERSTRÖM M. A FE based machining simulation methodology accounting for cast iron microstructure [J]. Finite Elements in Analysis and Design, 2014, 80: 1-10.

MIGUÉLEZ M H, SOLDANI X, MOLINARI A. Analysis of adiabatic shear banding in orthogonal cutting of Ti alloy [J]. International Journal of Mechanical Sciences, 2013, 75(10): 212-222.

MARUSICH T D, ORTIZ M. Modelling and simulation of high speed machining [J]. International Journal for Numerical Methods in Engineering, 1995, 38(21): 3675-3694.

UMBRELLO D. Finite element simulation of conventional and high speed machining of Ti6Al4V alloy [J]. Journal of Materials Processing Technology, 2008, 196(1/2/3): 79-87.

SALIH S, DAVEY K, ZOU Z. Rate-dependent elastic and elasto-plastic cohesive zone models for dynamic crack propagation [J]. International Journal of Solids and Structures, 2016, 90(1): 95-115.

SONG J H, BELYTSCHKO T. Cracking node method for dynamic fracture with finite elements [J]. International Journal for Numerical Methods in Engineering, 2009(3): 360-385.

刘凯欣, 高凌天. 离散元法研究的评述 [J]. 力学进展, 2003, 33(4): 483-490.

LIU Kaixin, GAO Lingtian. A review on the discrete element method [J]. Advances in Mechanics, 2003, 33(4): 483-490.

LIN Q, FAKHIMI A, HAGGERTY M, et al. Initiation of tensile and mixed-mode fracture in sandstone [J]. International Journal of Rock Mechanics and Mining Sciences, 2009, 46(3): 489-497.

SADD M H, ADHIKARI G, CARDOSO F. DEM simulation of wave propagation in granular materials [J]. Powder Technology, 2000, 109(1/2/3): 222-233.

CHENG Ming, LIU Weifu, LIU Kaixin. New discrete element models for elastoplastic problems [J]. Acta Mechanica Sinica, 2009, 25(5): 629-637.

WANG G, AL-OSTAZ A, CHENG A H, et al. A macroscopic-level hybrid lattice particle modeling of mode-I crack propagation in inelastic materials with varying ductility [J]. International Journal of Solids and Structures, 2009, 46(22/23): 4054-4063.

TAVAREZ F A, PLESHA M E. Discrete element method for modelling solid and particulate materials [J]. International Journal for Numerical Methods in Engineering, 2007, 70(1): 379-404.

WANG G, OSTOJA-STARZEWSKI M. Particle modeling of dynamic fragmentation: I Theoretical considerations [J]. Computational Materials Science, 2005, 33(4): 429-442.

SILLING S A, EPTON M, WECKNER O, et al. Peridynamic states and constitutive modeling [J]. Journal of Elasticity, 2007, 88(2): 151-184.

CHEN Hailong, LIN Enqiang, JIAO Yang, et al. A generalized 2D non-local lattice spring model for fracture simulation [J]. Computational Mechanics, 2014, 54(6): 1541-1558.

KALTHOFF J F, WINKLER S. Failure mode transition at high rates of shear loading [C]∥Proceedings of the International Conference on Impact Loading and Dynamic Behavior of Materials. Oberursel, Germany: IFAM, 1987: 185-195.

BELYTSCHKO T, CHEN Hao, XU Jingxiao, et al. Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment [J]. International Journal for Numerical Methods in Engineering, 2003, 58(12): 1873-1905.

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