摘要
选取新的位移势函数,利用半逆解法及待定系数法,研究一维正方准晶平行于准周期方向的椭圆孔口问题,给出了应力场的显式解析解。在极限状态下,椭圆孔口问题可退化为Griffith裂纹问题,得到了相应裂纹问题的应力场和应力强度因子的显式解析解。
Choosing a new displacement potential function and using a half-inverse method and an undetermined coefficient method, the problem about one-dimensional orthorhombic quasi-crystals with an elliptical hole in parallel to the quasi-periodic direction is investigated, the explicit analytical solutions in stress field is given. Under the limiting conditions, the problem of an elliptical hole degenerates into the problem of a Griffith crack. The explicit analytical solutions in stress field and the stress field intensity factor are obtained corresponding to the crack problem.
出处
《工程力学》
EI
CSCD
北大核心
2013年第2期38-43,共6页
Engineering Mechanics
基金
国家自然科学基金项目(11262017)
关键词
一维正方准晶
椭圆孔口
应力强度因子
半逆解法
显式解析解
one-dimensional orthorhombic quasi-crystals
elliptical hole
stress field intensity factor
half-inverse method
explicit analytical solutions
