正交各向异性功能梯度材料反平面断裂力学分析Antiplane Fracture Mechanical Analysis of Ⅲ Mode Crack in Orthotropic Functionally Graded Materials
隋中合,李俊林
摘要(Abstract):
研究了无限大正交各向异性功能梯度材料含有限长Griffith裂纹受反平面剪切载荷的力学问题.假设剪切模量沿着梯度方向都按双曲函数变化,采用积分变换-对偶积分方程方法,求得了裂纹尖端应力场和应力强度因子,并研究了材料不均匀参数对应力强度因子的影响。结果显示通过增加垂直于裂纹面方向的剪切模量可以抑制裂纹扩展驱动力。
关键词(KeyWords): 正交异性;功能梯度材料;双曲函数;对偶积分方程;应力强度因子
基金项目(Foundation): 山西省高校科技开发项目(200455,200513)
作者(Author): 隋中合,李俊林
参考文献(References):
- [1]OZTURK M,ERDOGAN F.Mode I crack problem in an inhomogeneous orthotropic medium[J].Int J Engng Sci.1997,35(9):869-883.
- [2]KASSIR M K,SIHG C.Three-dimensional Crack Problem,Mechanics of Fracture[M].Noordhoff International Publishing(NowKluwer Academic Publishers,Boston),1975.
- [3]ERDOGAN F.The crack problem for bonded nonhomogeneous materials under antipole shear loading[J].ASME J Appl Mech,1985,52:823-828.
- [4]LI C Y,ZOUZ Z,DUAN Z P.Dynamic stress field around the modeⅢcrack tip in an orthotropic functionally graded material[J].Appl Math Mech,2000,21:651-658.
- [5]Copson E T.On certain dual integral equations[A].In:Proceedings Glasgow Mathematical Association,1961,5:19-24.
- [6]SIHG C,CHEM E P.Mechanics of Fracture 6:Cracks in composite materials[M].The Hague:Martinus Nijhoff Publishers,1981.
- [7]李春雨,邹振祝,段祝平.正交各向异性功能梯度材料反平面裂纹尖端应力场[J].固体力学学报,2001,22:81-84.