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正交各向异性功能梯度材料反平面裂纹尖端应力场
引用本文: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(1):81-84.
作者姓名:李春雨  邹振祝  段祝平
作者单位:1. 石家庄铁道学院建筑工程系,石家庄,050043
2. 石家庄铁道学院交通工程系,石家庄,050043
3. 中国科学院力学研究所非线性连续介质力学实验室,北京,100080
基金项目:国家自然科学基金!(1 9772 0 2 9和 1 9891 1 80 )资助
摘    要:采用积分变换-对偶积分方程方法,研究了正交各向异性功能梯度材料反平面裂纹问题,文中假定材料沿两个主轴方向的剪切模量成比例按双参数梯度模型变化,通过求解对偶积分程并考虑变形Bessel函数的渐特性,推导出了裂纹尖端应力场,最后考察了材料非均匀性及正交性对应力强度因子的影响。

关 键 词:正交各向异性  功能梯度材料  应力强度因子  裂纹  反平面裂纹尖端应力场
修稿时间:1999年3月30日

STRESS FIELD AROUND THE ANTIPLANE CRACK TIP IN AN ORTHOTROPIC FUNCTIONALLY GRADED MATERIAL
Li Chunyu,Zou Zhenzhu,Duan Zhuping.STRESS FIELD AROUND THE ANTIPLANE CRACK TIP IN AN ORTHOTROPIC FUNCTIONALLY GRADED MATERIAL[J].Acta Mechnica Solida Sinica,2001,22(1):81-84.
Authors:Li Chunyu  Zou Zhenzhu  Duan Zhuping
Institution:Li Chunyu 1 Zou Zhenzhu 2 Duan Zhuping 3
Abstract:The problem of an orthotropic functionally graded material with a finite crack subjected to antiplane shear was studied in this paper by using the method of integral transforms and dual integral equations. The shear moduli in the two principal directions of the functionally graded material were assumed to vary proportionately as gradient model of double parameters. By solving dual integral equations and considering the asymptotic behavior, the local stress field around the crack tip was derived. Finally, the influences of material nonhomogeneity and orthotropy on stress intensity factor were investigated.
Keywords:orthotropy  functionally graded materials  stress intensity factor  crack  
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