Electroelastic analysis of a penny-shaped crack in a piezoelectric ceramic under mode I loading

2003 ◽  
Vol 30 (4) ◽  
pp. 371-386 ◽  
Author(s):  
S. Lin ◽  
F. Narita ◽  
Y. Shindo
Keyword(s):  
Piezoelectric Ceramic ◽  
Mode I ◽  
Penny Shaped Crack ◽  
Mode I Loading ◽  
Shaped Crack

scholarly journals A penny-shaped crack in a functionally graded layer between two half-spaces with different elastic properties

2018 ◽  
Vol 226 ◽  
pp. 03013
Author(s):  
Leonid I. Krenev
Keyword(s):  
Static Problem ◽  
Functionally Graded ◽  
Mode I ◽  
Problem Solution ◽  
Approximate Problem ◽  
Penny Shaped Crack ◽  
Shaped Crack ◽  
Space Material ◽  
Functionally Graded Layer

The axisymmetric static problem is considered on a pennyshaped mode I crack in an elastic inhomogeneous isotropic space. Young’s modulus of the elastic space material is non-symmetrical with respect to the crack. The procedure is proposed for approximate problem solution and determination of the stress intensity factor.

Sickle-shaped crack in a round bar under complex Mode I loading

2007 ◽  
Vol 30 (6) ◽  
pp. 524-534 ◽  
Author(s):  
A. CARPINTERI ◽  
R. BRIGHENTI ◽  
S. VANTADORI ◽  
D. VIAPPIANI
Keyword(s):  
Mode I ◽  
Complex Mode ◽  
Round Bar ◽  
Mode I Loading ◽  
Shaped Crack

Mixed-Mode Fatigue Crack Propagation of Penny-Shaped Cracks

1993 ◽  
Vol 115 (4) ◽  
pp. 365-372 ◽  
Author(s):  
W. R. Chen ◽  
L. M. Keer
Keyword(s):  
Fatigue Crack ◽  
Fatigue Crack Growth ◽  
Crack Growth ◽  
Mixed Mode ◽  
Shear Loading ◽  
Small Scale ◽  
Mode I ◽  
Dugdale Model ◽  
Penny Shaped Crack ◽  
Shaped Crack

A three-dimensional penny-shaped crack under combined tensile and shear loadings is analyzed. The assumptions of Dugdale are applied to estimate the effects of plasticity around the edge of the crack. The solution for mode I tensile loading is well established within the context of the Dugdale assumptions, and for the case of shear loading, approximate results are derived for the yield ring width and crack sliding displacements, with the assumptions similar in form to the mode I case. By superposing the results of the tensile and shear loading, the solutions for a penny-shaped Dugdale crack under mixed mode static loading and modified for the analysis of fatigue crack growth. Based on the mixed mode Dugdale model and the accumulated plastic displacement criterion for crack growth, a fatigue crack growth equation with four-power effective stress intensity factor dependence is developed for a penny-shaped crack under conditions of mixed mode loading and small-scale yielding.

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