scholarly journals Mobility of Non-Planar Screw Dislocations ahead of a Mode III Crack Tip

1998 ◽  
Vol 539 ◽  
Author(s):  
A.H.W. Ngan ◽  
H.F. Zhang
Keyword(s):  
Screw Dislocation ◽  
Crack Tip ◽  
Mode Iii ◽  
Screw Dislocations ◽  
Mode Iii Crack

AbstractThe generalised Peierls-Nabarro model is used to study the transformation of screw dislocation cores from the three-fold, non-planar state to the planar, glissile state ahead of a mode mll crack tip.

The analytical solution of a growing steady-state mode III crack in an elastic perfectly plastic solid through an electrical analogy

1989 ◽  
Vol 425 (1869) ◽  
pp. 291-327 ◽  
Keyword(s):  
Steady State ◽  
Analytical Solution ◽  
Plastic Zone ◽  
Crack Tip ◽  
Mode Iii ◽  
Steady State Mode ◽  
Screw Dislocations ◽  
Mode Iii Crack ◽  
Perfectly Plastic ◽  
Elastic Perfectly Plastic

An approximate analytical solution is found of a quasi-static growing steady-state mode III crack in an elastic perfectly plastic solid. The analysis makes use of a close analogy between the mode III crack problem and the problem of the thin electrical conducting plate that is embedded in a medium of finite conductivity through which electrical current flows. Plastic strain is calculated from the motion of nonredundant infinitesimal screw dislocations. Screw dislocations are Eshelby’s analogue of lines of electrical charge. Calculation of the dislocation crack tip shielding can be used to check the analysis. The plastic zone is a combined Dean & Hutchinson (DH) type unfocused fan plastic zone and a Chitaley & McClintock (CM) type focused fan plastic zone. The asymptotic solution at the crack tip is the CM one. The plastic zone found differs significantly in size and shape from the DH and the CM plastic zones. Novel features in the analysis are the use of a (dislocation density required) stress gradient boundary condition and the introduction of a shifting centre cylindrical coordinate system.

A special purpose Trefftz-element for mode III crack tip loading

2018 ◽  
Vol 192 ◽  
pp. 210-224 ◽  
Author(s):  
J. Hartmann ◽  
T. Heubrandtner ◽  
K. Kunter ◽  
R. Pippan ◽  
B. Fellner ◽  
...  
Keyword(s):  
Crack Tip ◽  
Mode Iii ◽  
Mode Iii Crack

Complete Crack-Tip Shielding of the Mode III Crack in a Work-Hardening Solid

1991 ◽  
Vol 58 (4) ◽  
pp. 1107-1108 ◽  
Author(s):  
J. Weertman
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Work Hardening ◽  
Crack Tip ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Extension Force ◽  
Crack Tip Shielding ◽  
Dislocation Crack

The crack-tip shielding stress intensity factor L, for the mode III crack in a work-hardening solid is equal to L = - K, where K is the applied stress intensity factor. That is, the crack tip is perfectly shielded. This result is shown two ways: from the dislocation shielding and from the dislocation crack extension force.

Higher order terms in asymptotic elastoplastic mode-III crack tip solutions

1991 ◽  
Vol 90 (1-4) ◽  
pp. 139-153 ◽  
Author(s):  
N. Aravas ◽  
D. A. Blazo
Keyword(s):  
Crack Tip ◽  
Higher Order ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Higher Order Terms
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