首页 | 本学科首页   官方微博 | 高级检索  
     检索      


CONDITIONS FOR THE APPLICATION OF THE STRESS TRANSFORMATION FORMULA 1)
Authors:HU Hengshan  SONG Yongjia
Institution:Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001,China
Abstract:The stress transformation formula, which is also called the Cauchy's formula for stresses on slanted surfaces, is widely used in solid mechanics. No explicit statement has been found on its limitations in application. The stresses at the sharp point of a V-shaped free-surface notch on a bar under axial loading at both ends are examined as an example. With the two intersecting surfaces being free, it is deduced from the transformation equations that the sharp point is stress free. This deduction is however contradictory to the fact that the stress concentrates near the sharp point. Clearly the stress transformation formula leads to incorrect results and thus is not valid at that sharp point. It is known that if the stress transformation formula is valid, the stress components constitute a stress tensor, but the stress at the sharp concave corner is shown to be discontinuous and double-valued. It is further pointed out that stress transformation formula is not applicable to any point where a stress component has discontinuity or lacks of uniqueness at a surface passing through that point. The tip of any crack is the case.
Keywords:stress transformation  stress element  V shaped cut  stress tensor  single-valued  
点击此处可从《力学与实践》浏览原始摘要信息
点击此处可从《力学与实践》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号