scholarly journals On an applicability of discontinuous model to crack problems. (1st Report, Relation with elastic-plastic crack models using continuous distribution of dislocations).

1988 ◽  
Vol 54 (506) ◽  
pp. 1879-1886 ◽  
Author(s):  
Katsuhiko WATANABE ◽  
Yutaka SATO ◽  
Nobuhiro YOSHIKAWA
Keyword(s):  
Continuous Distribution ◽  
Elastic Plastic ◽  
Crack Problems ◽  
Discontinuous Model ◽  
Distribution Of Dislocations

scholarly journals The ’t Hooft–Polyakov monopole in the geometric theory of defects

2020 ◽  
Vol 34 (12) ◽  
pp. 2050126
Author(s):  
M. O. Katanaev
Keyword(s):  
Physical Interpretation ◽  
Continuous Distribution ◽  
Geometric Theory ◽  
Yang Mills ◽  
Monopole Solution ◽  
Distribution Of Dislocations

The ’t Hooft–Polyakov monopole solution in Yang–Mills theory is given new physical interpretation in the geometric theory of defects. It describes solids with continuous distribution of dislocations and disclinations. The corresponding densities of Burgers and Frank vectors are computed. It means that the ’t Hooft–Polyakov monopole can be seen, probably, in solids.

A Tension Crack Impinging Upon Frictional Interfaces

1989 ◽  
Vol 56 (2) ◽  
pp. 291-298 ◽  
Author(s):  
Anna Dollar ◽  
Paul S. Steif
Keyword(s):  
Continuous Distribution ◽  
Fiber Composites ◽  
Solution Technique ◽  
Tension Crack ◽  
Tension Axis ◽  
Finite Crack ◽  
Crack Tips ◽  
Frictional Interface ◽  
Well Posed ◽  
Distribution Of Dislocations

A crack impinging normally upon a frictional interface is studied theoretically. We employ a solution technique which superposes the solution of a crack in a perfectly-bonded elastic medium with a continuous distribution of dislocations which represent slippage at the frictional interface. This procedure reduces the problem to a singular integral equation which is solved numerically. Specifically, we consider the problem of an infinite sheet subjected to uniaxial tension containing a finite crack which lies normal to the tension axis and has both crack tips impinging normally on frictional interfaces. The limiting problem of a semi-infinite crack impinging on a frictional interface is considered as well. Posed as model problems for cracking in weakly bonded fiber composites, these studies reveal the effective blunting that can result when a weak interface serves to deflect a propagating crack.

Three-Dimensional Finite Element Analysis of Elastic-Plastic Crack Problems

1981 ◽  
Vol 103 (3) ◽  
pp. 214-218 ◽  
Author(s):  
B. V. Kiefer ◽  
P. D. Hilton
Keyword(s):  
Finite Element ◽  
Normal Stress ◽  
Crack Front ◽  
Stress Component ◽  
Three Dimensional ◽  
Specimen Thickness ◽  
Element Analysis ◽  
Finite Element Program ◽  
Elastic Plastic ◽  
Crack Problems

A three-dimensional, elastic-plastic finite element program is developed and applied to analyze the stress field in a plate containing a through crack. The center cracked plate is subjected to uniform tensile loading which results in mode I opening of the crack surfaces. Transverse variations of the opening tensile stress component and of the effective stress (von Mises) in the vicinity of the crack front are presented. They clearly demonstrate the three-dimensional nature of this problem with distributions that depend on specimen thickness. For thinner plates, the plastic deformation concentrates near the plate surfaces while the normal stress is largest in the plate interior. In thicker plates the deformation and normal stress fields are more uniform in the plate interior near the crack front, but they develop a rapid boundary layer-type variation in the vicinity of the plate surfaces.

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