力学与实践 ›› 2003, Vol. 25 ›› Issue (1): 0-0.DOI: 10.6052/1000-0992-2002-202

• 应用研究 •    

功能梯度材料裂纹能量释放率

张双寅   

  1. 中科院力学所 100080
  • 收稿日期:2002-05-29 修回日期:1900-01-01 出版日期:2003-02-10 发布日期:2003-02-10

FRACTURE ENERGY RELEASE RATE IN FUNCTIONALLY GRADED MATERIALS

  • Received:2002-05-29 Revised:1900-01-01 Online:2003-02-10 Published:2003-02-10

摘要: 提出一个评价功能梯度材料裂纹扩展能量释放率的简单方法, 用双悬臂梁柔度法推导了典型梯度材料内裂纹沿梯度方向扩展的能量 释放率解析表达式,用算例分析了裂纹扩展方向不同能量释放率的差 别.

关键词: 功能梯度材料, 能量释放率, 双悬臂梁

Abstract: A simple method of calculating the energy release rate of crack in functionally graded materials is proposed. The double cantilever beam theory is used to derive the formulae of $G_{\rm I}^{\rm g}$. As an example for the use of this method three typical graded materials are evaluated. The results show that the modulus gradient has a great influence on the fracture energy. When the crack extends in the direction where the modulus is getting smaller, the energy release rate is smaller than that in the opposite direction.

Key words: functionally graded materials, crack, energy release rate