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功能梯度材料反平面裂尖应力场的非局部解答
引用本文:毕贤顺,程靳.功能梯度材料反平面裂尖应力场的非局部解答[J].哈尔滨工业大学学报,2003,35(12):1474-1476.
作者姓名:毕贤顺  程靳
作者单位:1. 哈尔滨工业大学,航天工程与力学系,黑龙江,哈尔滨,150001;黑龙江科技学院,基础部,黑龙江,哈尔滨,150027
2. 哈尔滨工业大学,航天工程与力学系,黑龙江,哈尔滨,150001
基金项目:黑龙江省自然科学基金资助项目(A01-10)
摘    要:用非局部线弹性理论研究了无限大功能梯度材料反平面的裂纹问题,利用积分变换和对偶积分方程求解出裂纹尖端的应力场和位移场,并利用Schmidt方法进行了数值求解,与经典的解答相反,裂纹尖端应力场的奇异性不存在,裂纹尖端应力随梯度参数和原子晶格参数的增加而降低.

关 键 词:功能梯度材料  应力场  积分变换  对偶积分方程  位移场  Schmidt法  奇异性  反平面裂纹
文章编号:0367-6234(2003)12-1474-03
修稿时间:2002年12月30

Nonlocal theory solution for functionally grated material under antiplane shear
BI Xian-shun,CHENG Jin.Nonlocal theory solution for functionally grated material under antiplane shear[J].Journal of Harbin Institute of Technology,2003,35(12):1474-1476.
Authors:BI Xian-shun  CHENG Jin
Abstract:By using nonlocal linear elasticity theory, integral transforms and dual integral equations, the stress field and displacement field are present at the crack tip, a set of dual integral equations is solved using Schmidt' s method. Contrary to the classical elasticity solution, it is found that no stress singularity is present at the crack tip, and the decrease of the stress at the crack tip varies with the increase of grated parameter and the lattice parameter.
Keywords:functionally grated material  integral transforms  dual integral equations
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