面向裂纹扩展的连结型刚体-弹簧离散元模型

蒋逸飞; 张俊; 何勇; 刘哲超; 赵万华

doi:10.7652/xjtuxb201804007

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面向裂纹扩展的连结型刚体-弹簧离散元模型

更新时间：2025-07-09

- 面向裂纹扩展的连结型刚体-弹簧离散元模型
- A Discrete Element Method of Spring-Connecting Rigid for Numerical Simulation of Cracks Propagation
- 西安交通大学学报 2018年52卷第4期页码：48-54
- 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：
  
  : 2017-09-08。作者简介: 蒋逸飞(1987—),男,博士生;张俊(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(51375373);中央高校基本科研业务费专项资金资助项目(2015032)
- DOI：10.7652/xjtuxb201804007
  中图分类号： TP391.9
- 网络首发：2018-04-10，
  
  纸质出版：2018
- 稿件说明：
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蒋逸飞, 张俊, 何勇, 等. 面向裂纹扩展的连结型刚体-弹簧离散元模型[J]. 西安交通大学学报, 2018,52(4):48-54.

A Discrete Element Method of Spring-Connecting Rigid for Numerical Simulation of Cracks Propagation[J]. 2018, 52(4): 48-54.
蒋逸飞, 张俊, 何勇, 等. 面向裂纹扩展的连结型刚体-弹簧离散元模型[J]. 西安交通大学学报, 2018,52(4):48-54. DOI： 10.7652/xjtuxb201804007.

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

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