航空学报 > 1985, Vol. 6 Issue (4): 344-350

加劲板的二维复合型广义J积分

张行, 邓小敏   

  1. 北京航空学院
  • 收稿日期:1984-09-20 修回日期:1900-01-01 出版日期:1985-08-25 发布日期:1985-08-25

THE TWO-DIMENSIONAL GENERALIZED J-INTEGRAL OF MIXED MODES FOR STIFFENED PLATES

Zhang Xing, Deng Xiaomin   

  1. Beijing Institute of Aeronautics and Astronautics
  • Received:1984-09-20 Revised:1900-01-01 Online:1985-08-25 Published:1985-08-25

摘要:

本文以虚功原理与本构方程为基础导出了加劲板二维复合广义J积分J1与J2,证明了它们的收敛性、守恒性并且导出了J1、J2与应力强度因子K1K1的关系。在此基础上,本文采用两种有限元计算了含有斜裂纹的加劲板应力强度因子。计算结果表明,这个复合广义J积分的守恒性很好,由两种元素所得结果相当一致,相对误差在工程所允许的范围之内。

Abstract:

The two-dimensional generalized J-integral of mixed modes for stiffened plates is derived by means of principle of virtual work and constitutive equations as Eq. 4. The relationships between the two components of the generalized J-integral (J1 and J2) and the stress intensity factors (K11and K2) are also established as Eqs. 13,14.The convergency and path-independent property of the J-integral are evident by the given formulas. According to the above-mentioned relations, the stress intensity factors are calculated with two different kinds of finite elements. The results obtained by these two kinds of elements are in good agreement.