应力圆的解析与图解法证明

发布时间：2018-12-07 13:08

【摘要】：应力圆以严格的应力解析表达式为理论根据.作为几何图形,应力圆是应力状态直观形象的载体,人们可以通过作图的方法方便地获得描述应力状态的有关参数,即图解法,这在计算工具尚不发达的年代很有价值.然而,图解法存在的根本依据是应力圆所具有的特性,深入系统地研究这些特性,可以深刻地揭示应力圆的本质.为此,从应力圆的理论构成入手,深入分析应力圆的理论表达式与几何图形的有机联系,并对应力圆图解法进行系统证明.
[Abstract]:The stress circle is based on the strict analytical expression of stress. As a geometric figure, stress circle is the carrier of the visual image of stress state. People can conveniently obtain some parameters describing stress state by drawing method, that is, graphic method, which is very valuable in the age of undeveloped calculation tools. However, the fundamental basis for the existence of the graphic method is the characteristics of the stress circle. A thorough and systematic study of these characteristics can deeply reveal the nature of the stress circle. Therefore, starting with the theoretical composition of the stress circle, the organic relation between the theoretical expression of the stress circle and the geometry is deeply analyzed, and the graphic method of the stress circle is systematically proved.
【作者单位】： 解放军理工大学爆炸冲击防灾减灾国家重点实验室;
【基金】：国家自然科学基金(51378498,51578541) 江苏省自然科学基金(BK20141066)资助项目
【分类号】：O31
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本文编号：2367257