摘要
对受弯矩、扭矩混合作用的线弹性正交异性复合材料板的裂纹尖端应力场进行探讨.该断裂问题可化为求解一个偏微分方程的边值问题,借助复变函数方法和待定系数法,推出了裂纹尖端附近的挠度、位移、弯矩、扭矩、应力和应变的计算公式.最后,给出了数值算例.所得到的这些公式在有关的断裂分析中有一定的实用价值和参考作用.
The stress field of crack tips of linear elastic orthotropic composite plates under the acts of bending and torque is analyzed. The fracture problem can be solved by calculating the boundary value of a partial differential equation. By the methods of complex variable function and undetermined coefficients, the formulae for deflection, displacement, bending moment, torque, stress and strains near the crack tip are derived. Finally, numerical examples are given. These formulae have certain practical value and referential function in related fracture analysis.
出处
《中北大学学报（自然科学版）》
EI
CAS
2007年第6期475-481,共7页
Journal of North University of China(Natural Science Edition)
基金
山西省青年科学基金资助项目(20041005)
山西省自然科学基金资助项目(20031012)
关键词
挠度
弯矩
应力
裂纹
正交异性
deflection
bending moment
stress
crack
orthotropic
