摘要
孔使原本连续的结构产生突变而不连续,必然会引起结构上的应力集中,降低其强度,孔的影响对于复合材料要比均质材料大得多。文中对于含椭圆孔的复合材料板,运用复变函数理论建立计算模型。采用保角映射的方法得到准确描述应力场的复变应力函数。按照所建立的数学模型对含有椭圆孔的复合材料板进行应力分析。针对在压应力作用下的含不同几个尺寸椭圆孔的正交各向异性板,讨论了其相应的孔边应力分布,并对所研究的各种情况下孔边应力场进行比较。
Hole induces the stress concentration on the structure,and decreases the structure＇s strength.In this paper,to solve the problem of the composite plate with elliptical hole,the theory of functions of complex variable is used to establish a calculation model.The stress function of complex variable which exactly describes the stress field is obtained by using the method of conformal mapping.The stress analysis on the composite material plate with elliptical hole is carried out,based on the es-tablished mathematic model.Aiming at the orthotropic plate with different elliptical hole under compressive stress,the hole-edge stress distribution is discussed.At the same time,the hole-edge stress fields are compared.
出处
《船舶力学》
EI
北大核心
2010年第3期272-279,共8页
Journal of Ship Mechanics
基金
Supported by the National Natural Science Foundation of China (No.50975261)
关键词
应力集中
含孔正交各向异性板
压应力
保角映射
解析计算
仿真
stress concentration
orthotropic plate with hole
compressive stress
conformal mapping
analytic calculation
simulation
