功能梯度材料反平面裂尖应力场的非局部解答  

Nonlocal theory solution for functionally grated material under antiplane shear

作　　者：毕贤顺[1] 程靳[1] 

机构地区：[1]哈尔滨工业大学航天工程与力学系

出　　处：《哈尔滨工业大学学报》2003年第12期1474-1476,共3页Journal of Harbin Institute of Technology

基　　金：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。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.

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 

分 类 号：TB34[一般工业技术—材料科学与工程]