常体力真平面应力情况经典强度理论相当应力的最大点  

ON THE MAXIMUM CLASSICAL STRESS INTENSITY IN CONDITION OF TRUE PLANE STRESS WITH CONSTANT BODY FORCE

作　　者：薛福林[1] 

机构地区：[1]哈尔滨工业大学航天科学与力学系,哈尔滨150001

出　　处：《固体力学学报》2004年第1期104-106,共3页Chinese Journal of Solid Mechanics

摘　　要：本文从弹性力学空间问题相容方程推导出常体力真平面应力情况下各应力分量都为调和函数 .进而得出经典强度理论相当应力都为下调和函数 .通过对经典强度理论相当应力性质的讨论 ,得到在常体力真平面应力情况下 ,相当应力的最大值都在平板的边界上达到 .This paper shows that stress components of true plane-stress with constant body force are harmonic functions from the compatibility in three dimensions and the stress intensities of classical theories of strength are subharmonic. By analyzing the properties of the stress intensities, we conclude that the maximum of the stress intensities under the condition of constant body force and true plane-stress must reach at surface or a plate's edge.

关 键 词：弹性力学 平面应力 强度理论 调和函数 下调和函数 相当应力 真平面应力 

分 类 号：O346[理学—固体力学]