Mode-I pressurized axisymmetric penny-shaped crack in graded interfacial zone with variable modulus and Poisson’s ratio

2020 ◽  
Vol 235 ◽  
pp. 107164
Author(s):  
X.W. Chen ◽  
Z.Q. Yue
Keyword(s):  
Poisson’S Ratio ◽  
Poisson's Ratio ◽  
Mode I ◽  
Interfacial Zone ◽  
Penny Shaped Crack ◽  
Variable Modulus ◽  
Shaped Crack ◽  
Graded Interfacial Zone

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.

An Axisymmetric Crack in Bonded Materials With a Nonhomogeneous Interfacial Zone Under Torsion

1995 ◽  
Vol 62 (1) ◽  
pp. 116-125 ◽  
Author(s):  
M. Ozturk ◽  
F. Erdogan
Keyword(s):  
Crack Opening ◽  
Crack Problem ◽  
Strain Energy Release ◽  
Interfacial Region ◽  
Interfacial Zone ◽  
Mode Iii ◽  
Shear Moduli ◽  
Penny Shaped Crack ◽  
Energy Release Rates ◽  
Shaped Crack

In this study the mode III axisymmetric crack problem for two dissimilar homogeneous materials bonded through a thin layer of nonhomogeneous interfacial region is considered. The shear modulus of the interfacial layer is assumed to be μ2(z) = μ1 exp (αz). It is also assumed that μ3 = μ1 exp (αh), h being the thickness of the layer and μ1 and μ3 the shear moduli of the adherents. The main results of the study are the stress intensity factors, the strain energy release rates and, to a limited extent, the crack-opening displacements obtained as functions of the two primary variables h/a and μ3/μ1 under various loading conditions, where a is the radius of the crack. Some results are also presented for a penny-shaped crack in an unbounded nonhomogeneous medium.

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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