๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Singular stress field of three-dimensional crack

โœ Scribed by W.X. Zhu


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
455 KB
Volume
36
Category
Article
ISSN
0013-7944

No coin nor oath required. For personal study only.

โœฆ Synopsis


The general expression for three-dimensional stress distribution around a flat crack under arbitrary loadings is proved and discussed. Conditions under which the expression is valid or invalid are presented. A closed form solution for singular stress field at the intersection of a crack border with a free surface is obtained.


๐Ÿ“œ SIMILAR VOLUMES


Elastoplastic three dimensional crack bo
โœ Wanlin Guo ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 957 KB

The structure of stress and strain fields at the border of three dimensional cracks in a tension field is investigated for elastoplastic materials treated by a deformation theory. The investigation is based upon the physics of the problem and is conducted with mathematical rigour. It is found that t

Improvement of stress singular element f
โœ Gangming Luo; Yongyuan Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 490 KB

In the paper, a new kind of stress singular element is introduced for crack problems. This kind of element is more simple and widely used than those presented before. In the paper, a cube with embedded circular crack and a first kind Benchmark problem are studied. The study shows that using quarter-

Three-dimensional singularities of elast
โœ Hermann Schmitz; Klaus Volk; Wolfgang Wendland ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 579 KB

For the computation of the singular behavior of an elastic field near a three-dimensional vertex subject to displacement boundary conditions we use a boundary integral equation of the first kind whose unknown is the boundary stress. Localization at the vertex and Mellin transformation yield a one-di

Three-dimensional analyses of interface
โœ S. Aoki; X.F. Luo ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 748 KB

Three-dimensional finite element computation is performed for a through edge crack lying on an interface between an elastic-plastic material and a perfectly rigid substrate. The modified Gurson model suggested by Tvergaard and Needleman is used in the calculation. The distributions of stresses and m

Crack propagation under combined stresse
โœ De-Chang Tian; Dau-Quan Lu; Jia-Ju Zhu ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 694 KB

By using the expressions of Hartranft and Sih for the stress field at the tip front of an arbitrary crack. the problem of crack propagation under combined stresses in a three-dimensional medium has been discussed on the basis of ((T")~,,, theory and its modification, (tm )m.,r theory. General result