摘要
经典弹性力学中对于半无限平面弹性体应力边界问题,即便是应力分量满足了平衡方程和相容方程,满足了应力边界条件,但应力分量并不一定是正确解答。从复变函数角度出发,得到了零外载荷且无穷远处应力为有限值时的半无限体自平衡解答,通过算例分析,得出半无限平面体正确的应力解答应是在经典弹性应力解答基础上叠加上一项自平衡解答。
Stress boundary value problems was concluded in classic half- infinite plane elasticity, the stress components which satisfy equilibrium differential equations, the equation of compatibility and stress boundary conditions may not be the correct solutions. By using the theory of functions of complex variables, the self - balanced stress solutions are obtained for the half - infinite plane with zero loads and finite stress values in the infinite verge condi- tions. By analyzing examples, it demonstrates that the correct stress solutions are that the solutions in classic elasticity add one of the self- balanced stress solutions.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2008年第4期452-454,458,共4页
Journal of Natural Science of Heilongjiang University
基金
高等学校学科创新引智计划资助项目(B07028)
中国矿业大学青年科研基金资助项目(2006A039)
关键词
楔
半无限体
弹性力学
复变函数
wedge
half - infinite plane
elastic mechanics
functions of complex variables
