Penny-Shaped Crack in a Round Bar of Power-Law Hardening Material

2009 ◽  
pp. I-291-I-291-15
Author(s):  
MY He ◽  
JW Hutchinson
Keyword(s):  
Power Law ◽  
Hardening Material ◽  
Penny Shaped Crack ◽  
Round Bar ◽  
Shaped Crack

scholarly journals The Penny-Shaped Crack and the Plane Strain Crack in an Infinite Body of Power-Law Material

1981 ◽  
Vol 48 (4) ◽  
pp. 830-840 ◽  
Author(s):  
M. Y. He ◽  
J. W. Hutchinson
Keyword(s):  
Plane Strain ◽  
Power Law ◽  
Deformation Theory ◽  
Small Strain ◽  
Stress And Strain ◽  
Infinite Body ◽  
Penny Shaped Crack ◽  
Shaped Crack ◽  
Remote Stress ◽  
Plane Strain Crack

A study is carried out of the problem of a penny-shaped crack in an infinite body of power-law material subject to general remote axisymmetric stressing conditions. The plane strain version of the problem is also examined. The material is incompressible and is characterized by small strain deformation theory with a pure power relation between stress and strain. The solutions presented also apply to power-law creeping materials and to a class of strain-rate sensitive hardening materials. Both numerical and analytical procedures are employed to obtain the main results. A perturbation solution obtained by expanding about the trivial state in which the stress is everywhere parallel to the crack leads to simple formulas which are highly accurate even when the remote stress is perpendicular to the crack.

A penny-shaped crack in a transversely isotropic piezoelectric layer

2001 ◽  
Vol 20 (6) ◽  
pp. 997-1005 ◽  
Author(s):  
Bao-Lin Wang ◽  
Naotake Noda ◽  
Jie-Cai Han ◽  
Shan-Yi Du
Keyword(s):  
Piezoelectric Layer ◽  
Transversely Isotropic ◽  
Penny Shaped Crack ◽  
Shaped Crack
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