东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2008, Vol. 29 ›› Issue (5): 734-737.DOI: -

• 论著 • 上一篇    下一篇

脆性材料斜裂纹断裂与损伤耦合分析

孙雅珍;余天庆;   

  1. 东北大学资源与土木学院;东北大学资源与土木学院 辽宁沈阳110004;辽宁沈阳110004;湖北工业大学土木工程与建筑学院;湖北武汉430068
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2008-05-15 发布日期:2013-06-22
  • 通讯作者: Sun, Y.-Z.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(50374020)

Analysis coupling fracture with damage for oblique cracks in brittle materials

Sun, Ya-Zhen (1); Yu, Tian-Qing (1)   

  1. (1) School of Resources and Civil Engineering, Northeastern University, Shenyang 110004, China; (2) School of Civil Engineering and Architecture, Hubei University of Technology, Wuhan 430068, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-05-15 Published:2013-06-22
  • Contact: Sun, Y.-Z.
  • About author:-
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摘要： 对单向拉伸的斜裂纹,应用西多霍夫损伤模型和断裂力学耦合分析方法,推导出脆性材料斜裂纹损伤区与断裂区的边界方程,确定了脆性材料斜裂纹初始损伤区和断裂区的径向尺寸.提出了裂尖断裂区内径向应变能的概念,并建立了基于此概念上的裂纹扩展准则,即裂尖断裂区内径向最小应变能(RMSE)判据,从而确定了脆性材料斜裂纹在断裂区边界上的开裂角.最后确定了不同裂纹倾角起裂点的坐标.

关键词: 脆性材料, 斜裂纹, 断裂与损伤耦合, 裂尖断裂区内径向应变能, 断裂判据

Abstract: The oblique cracks due to unidirectional tension in brittle materials were analyzed coupling the Sidoroff damage model with fracture mechanics. Boundary equations between damage zone and fracture zone were derived to determine the radial sizes of initial damage and fracture zones due to oblique cracks. A new concept was proposed, i.e. the radial strain energy within the fracture zone near oblique crack tip. Then, a relevant criterion was set for crack propagation, i.e. the criterion for radial minimum strain energy(RMSE) within fracture zone. As a result, the crack orientation at fracture zone boundary and the coordinate of initial cracking point of different oblique cracks were both determined.

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