摘要
对受纯扭载荷作用的线弹性各向异性纤维复合材料板裂纹尖端附近的应力场进行探讨.选取带复参数的挠度函数,利用复变函数方法和待定系数法,借助边界条件,确定复参数,从而推出了裂纹尖端附近的弯矩、扭矩、应力和位移计算公式.所得到的公式在有关的断裂分析中有一定的实用价值和参考作用,最后给出了数值算例.
Analysis of mechanical behaviors near crack tip for linear elastic anisotropic composite plate under pure twisting moment was done. The middle plate deflection with complex parameter is defined. By solving the boundary value problem of partial differential equation and using a complex variable function method, the expressions for bending moment, twisting moment, stress and displacement near crack tip are derived. Finally, numerical example is given.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第8期98-104,共7页
Mathematics in Practice and Theory
基金
国家教育部科学技术研究重点项目(208022)
关键词
各向异性板
边值问题
复变函数方法
应力场
裂纹尖端
anisotropic plate
boundary value problem
complex variable method
stress field
crack tip
