东北大学学报:自然科学版 ›› 2017, Vol. 38 ›› Issue (9): 1309-1314.DOI: 10.12068/j.issn.1005-3026.2017.09.020

• 机械工程 • 上一篇    下一篇

含裂纹功能梯度板能量释放率的ABAQUS用户子程序开发

周立明, 任书慧, 孟广伟, 李荣佳   

  1. (吉林大学 机械科学与工程学院, 吉林 长春130025)
  • 收稿日期:2016-03-15 修回日期:2016-03-15 出版日期:2017-09-15 发布日期:2017-09-08
  • 通讯作者: 周立明
  • 作者简介:周立明(1982-),男,吉林白山人,吉林大学副教授; 孟广伟(1959-),男,吉林长春人,吉林大学教授.
  • 基金资助:
    国家自然科学基金资助项目(11502092); 吉林省科技厅基金资助项目(20160520064JH,20170101043JC);中央高校基本科研业务费专项资金资助项目(451170306066).

ABAQUS User Subroutine Development for Energy Releasing Rate of the Functionally Graded Plate with Cracks

ZHOU Li-ming, REN Shu-hui, MENG Guang-wei, LI Rong-jia   

  1. School of Mechanical Science and Engineering, Jilin University, Changchun 130025, China.
  • Received:2016-03-15 Revised:2016-03-15 Online:2017-09-15 Published:2017-09-08
  • Contact: LI Rong-jia
  • About author:-
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摘要: 为求解含裂纹功能梯度板的动态能量释放率,提出了基于非均匀有限元法的虚拟裂纹闭合法.基于有限元软件ABAQUS平台,开发了动态载荷作用下功能梯度材质的哑节点断裂单元,编写了用户自定义子程序UMAT和UEL,求解了动态载荷作用下的含裂纹功能梯度板能量释放率分量.对不同形状因子下的中心和倾斜裂纹功能梯度板的动态能量释放率分量进行了求解,并转化为动态应力强度因子,与差分法作比较.数值算例结果表明,动态载荷作用下功能梯度材质的哑节点断裂单元具有精度高、简捷方便、裂尖无需使用奇异元或特殊单元和子程序通用性强等优点,为工程师求解动态断裂参数提供了新途径.

关键词: 裂纹, 动态能量释放率, 虚拟裂纹闭合法, 动态应力强度因子, 非均匀有限元法

Abstract: To obtain the dynamic energy releasing rate of the functionally graded plate with cracks, a virtual crack closure technique was proposed based on the inhomogeneous finite element method. A fracture dummy node element of the functionally graded material under dynamic loading was developed, user-defined subroutines named UMAT and UEL were programmed, and the component of energy releasing rate for the functionally graded plate caused by dynamic loading was calculated based on the finite element software ABAQUS platform. For the different shape factors such as the center-crack and inclined-crack inside the functionally graded plates, the component of the dynamic energy releasing rate was solved, and then it was transformed into the dynamic stress intensity factor, which was used for comparing the results calculated by the finite difference method. The numerical calculating results showed that the dummy node element of the functionally graded material fracture caused by dynamic loading is characterized by high precision, simplicity and convenience without using the singular element or special element for the crack tip and the versatility of its subroutines, which may provide a new approach for the engineers to get the dynamic fracture parameters.

Key words: crack, dynamic energy releasing rate, virtual crack closure technique, dynamic stress intensity factor, inhomogeneous finite element method

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