Higher order asymptotic solution of mode I crack growth in elastic-perfectly plastic media

1992 ◽  
Vol 8 (4) ◽  
pp. 315-327
Author(s):  
Zhang Lin ◽  
Hwang Kehchih
2020 ◽  
pp. 1-19
Author(s):  
Idoia Gaztelumendi ◽  
H. Villaverde ◽  
B. Pérez ◽  
M. Chapartegui ◽  
S. Flórez ◽  
...  

2004 ◽  
Vol 53 (8) ◽  
pp. 894-899 ◽  
Author(s):  
Kazushi SATO ◽  
Toshiyuki HASHIDA
Keyword(s):  
Mode I ◽  

2006 ◽  
Vol 74 (3) ◽  
pp. 586-589 ◽  
Author(s):  
David J. Unger

A continuous stress field for the mode I crack problem for a perfectly plastic material under plane stress loading conditions has been obtained recently. Here, a kinematically admissible velocity field is introduced, which is compatible with the continuous stress field obtained earlier. By associating these two fields together, it is shown that they constitute a complete solution for the uncontained plastic flow problem around a finite length internal crack, having a positive rate of plastic work. The yield condition employed is an alternative criterion first proposed by Richard von Mises in order to approximate the plane stress Huber-Mises yield condition, which is elliptical in shape, to one that is composed of two intersecting parabolas in the principal stress plane.


2005 ◽  
Vol 72 (1) ◽  
pp. 62-67 ◽  
Author(s):  
David J. Unger

A statically admissible solution for a perfectly plastic material in plane stress is presented for the mode I crack problem. The yield condition employed is an alternative type first proposed by von Mises in order to approximate his original yield condition for plane stress while eliminating most of the elliptic region as pertaining to partial differential equations. This yield condition is composed of two intersecting parabolas rather than a single ellipse in the principal stress space. The attributes of this particular solution of the mode I problem over that previously obtained are that it contains neither stress discontinuities nor compressive stresses anywhere in the field.


2006 ◽  
Vol 54 (19) ◽  
pp. 5115-5122 ◽  
Author(s):  
Yasuhide Shindo ◽  
Fumio Narita ◽  
Katsumi Horiguchi ◽  
Tetsu Komatsu

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