摘要
文章基于复变函数方法,利用保角变换求解了含椭圆孔内嵌异质加强椭圆环无限大板在远端受均布荷载作用的弹性问题,并给出了加强椭圆环及无限大板的位移和应力的级数解,分析了加强椭圆环的材料属性和几何尺寸对无限大板界面处应力的影响。结果表明,选择合适的加强椭圆环的材料属性和几何尺寸可以显著降低板界面处的最大应力。研究结果为加强椭圆环的优化设计提供了理论依据。
Based on the complex variable function method and the technique of conformal mapping, a general solution for the elasticity problem of a reinforced elliptic hole embedded in an infinite plate subjected to a remote uniform load is provided in this paper. The series expansion solutions for the displacement an~,stresses in the reinforcing ring and the plate are derived, and the effect of the materi- al property and geometric configurations on the interfacial stresses is investigated. The results show that the maximum stresses at the elliptic boundary of the plate drop off evidently if appropriate materi- al and geometric configurations of the reinforcing ring are chosen. The presented formulae provide a theoretical approach for the optimization design of the reinforcing elliptic ring.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第9期1106-1109,共4页
Journal of Hefei University of Technology：Natural Science
关键词
平面弹性
加强椭圆环
均布荷载
复变函数
保角变换
plane elasticity
reinforcing elliptic ring
uniform load
complex variable function
confor- mal mapping
