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解析法分析平面应力状态下主应力和主平面对应关系的思考
引用本文:张淑琴,倪新华,张靖,王凌英,孟祥凤.解析法分析平面应力状态下主应力和主平面对应关系的思考[J].甘肃联合大学学报(自然科学版),2011,25(4):100-101,104.
作者姓名:张淑琴  倪新华  张靖  王凌英  孟祥凤
作者单位:军械工程学院基础部,河北石家庄,050003
摘    要:首先归纳总结了目前教材和文献中关于平面应力状态主应力和主平面对应关系的分析方法,然后利用高等数学确定最大、最小正应力(即主应力)的方位,分别讨论基本单元体的正应力和切应力,得到最大、最小正应力与主平面对应关系最简判别准则的两个理论依据.

关 键 词:最大正应力  最小正应力  主平面

Think of Analyzing the Principal Stress and Principal Plane's Relation under the Plane State of Stress with analytics
ZHANG Shu-qin,NI Xin-hua,ZHANG Jing,WANGLing-ying,MENG Xiang-feng.Think of Analyzing the Principal Stress and Principal Plane's Relation under the Plane State of Stress with analytics[J].Journal of Gansu Lianhe University :Natural Sciences,2011,25(4):100-101,104.
Authors:ZHANG Shu-qin  NI Xin-hua  ZHANG Jing  WANGLing-ying  MENG Xiang-feng
Institution:(Shijiazhuang Mechanical Engineering College,Shijiazhuang 050003,China)
Abstract:This paper concludes the analysis methods of the principal stress corresponding to the principal plane under the plane state of stress in some teaching material mechanics and literatures.The principal stress’s azimuth is confirmed by using the minimax theorem of higher mathematics,the normal stress or the shear stress of basis unit body were discussed.
Keywords:maximum normal stress  minimum normal stress  principal plane
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