摘要
本文讨论了一般边界条件下裂缝扩展的能量释放,指出了此时运用力势概念所能导致的错误。然后,不加任何附加假设从整体进行能量积分,成功地直接严格证明了Sih与Liebowitz建议公式和Griffith公式,从而证明了Eftis在文[2]中否认Griffith公式而重新回到Griffith 1921年公式是错误的,也说明了文[3—5]等在推导中所采用的不十分严格的附加处理是不必要的。
This paper discusses the energy release of crack and cut in propagation under general boundary conditions and points out that the use of force potential can result in an error under these conditions. Then, from the global energy integration with no additional hypothesis, formulae by Griffith and by Sih and Liebowitz are proved strictly and directly. Therefore, it is proved that Eftis in ref. [2] refuted Griffith formula and returned to Griffith former formula in 1921 wrongly. And it is shown that the not very strict additional treatments in derivation of the formulae in ref. [3-5] etc. are not necessary.
出处
《力学学报》
EI
CSCD
北大核心
1990年第2期252-256,共5页
Chinese Journal of Theoretical and Applied Mechanics
关键词
一般边界条件
裂缝
能量
释放
裂纹
general boundary conditions, energy release, Sih and Liebowitz suggested formula, Griffith formula, complex stress functions
