Stress intensity factors and energy release rate for anisotropic plates based on the classical plate theory

2016 ◽  
Vol 97 ◽  
pp. 300-308 ◽  
Author(s):  
Kuang-Chong Wu
Keyword(s):  
Stress Intensity ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Stress Intensity Factors ◽  
Plate Theory ◽  
Intensity Factors ◽  
Classical Plate Theory ◽  
Anisotropic Plates

Stress Intensity Factor and Energy Release Rate for Interfacial Cracks Between Dissimilar Anisotropic Materials

1990 ◽  
Vol 57 (4) ◽  
pp. 882-886 ◽  
Author(s):  
Kuang-Chong Wu
Keyword(s):  
Stress Intensity ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Stress Intensity Factors ◽  
Real Form ◽  
Intensity Factors ◽  
Interface Cracks ◽  
Interfacial Cracks ◽  
Homogeneous Materials

The framework of fracture mechanics analysis for interface cracks as outlined by Willis (1971) is recast into a form resembling the customary framework for cracks in homogeneous materials. Based on the complex-valued “stress concentration vector” introduced by Willis, a new definition of real-valued stress intensity factors is introduced. The definition is an extension to that for cracks in homogeneous materials and reduces to the one given recently by Rice for isotropic interface cracks. In terms of the new stress intensity factors, tractions ahead of the crack and the relative crack face displacements given by Willis are rewritten into real-form expressions. The energy release rate obtained by Willis is also expressed into a real form in terms of the stress intensity factors. The validity of using the stress intensity factors as parameters controlling fracture is discussed along the line advanced by Rice (1988).

Energy-Release Rate and Crack Kinking Under Combined Loading

1981 ◽  
Vol 48 (3) ◽  
pp. 520-524 ◽  
Author(s):  
K. Hayashi ◽  
S. Nemat-Nasser
Keyword(s):  
Stress Intensity ◽  
Quadratic Form ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Stress Intensity Factors ◽  
Continuous Distribution ◽  
Combined Loading ◽  
Intensity Factors ◽  
Kink Angle

Based on the maximum energy-release-rate criterion, kinking from a straight crack is investigated under the plane strain condition. Solutions are obtained by the method that models a kink as a continuous distribution of edge dislocations. The energy-release rate is expressed as a quadratic form of the stress-intensity factors that exist prior to the onset of kinking, and the coefficients of this quadratic form are tabulated for various values of the kink angle. The examination of the results shows that Irwin’s formula for the energy-release rate remains valid for any kink angle provided that the stress-intensity factors in the formula are taken equal to those existing at the tip of a vanishingly small kink.

Thickness Effects Are Minor in the Energy-Release Rate Integral for Bent Plates Containing Elliptic Holes or Cracks

1981 ◽  
Vol 48 (2) ◽  
pp. 320-326 ◽  
Author(s):  
J. G. Simmonds ◽  
J. Duva
Keyword(s):  
Energy Release Rate ◽  
Energy Release ◽  
Relative Error ◽  
Release Rate ◽  
Plate Theory ◽  
Semimajor Axis ◽  
Elliptic Hole ◽  
Three Dimensional ◽  
Radius Of Curvature ◽  
Classical Plate Theory

The exact value of Sanders’ path-independent, energy-release rate integral I for an infinite, bent elastic slab containing an elliptic hole is shown to be approximated by its value from classical plate theory to within a relative error of O(h/c)F(e), where h is the thickness, c is the semimajor axis of the ellipse, and F is a function of the eccentricity e. This result is based on Golden’veiser’s analysis of three-dimensional edge effects in plates, as developed by van der Heijden. As the elliptic hole approaches a crack, F(e)~In (1−e). However, this limit is physically meaningless, because Golden’veiser’s analysis assumes that h is small compared to the minimum radius of curvature of the ellipse. Using Knowles and Wang’s analysis of the stresses in a cracked plate predicted by Reissner’s theory, we show that the relative error in computing I from classical plate theory is only O(h/c)In(h/c), where c is the semicrack length. Our results suggest that classical plate and shell theories are entirely adequate for predicting crack growth, within the limitations of applying any elastic theory to an inherently inelastic phenomenon.

scholarly journals Kinking of a Crack Out of an Interface

1989 ◽  
Vol 56 (2) ◽  
pp. 270-278 ◽  
Author(s):  
Ming-Yuan He ◽  
John W. Hutchinson
Keyword(s):  
Stress Intensity ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Intensity Factors ◽  
Elastic Solids ◽  
Kinked Crack ◽  
Compliant Material ◽  
Stiff Material ◽  
Plane Strain Crack

Kinking of a plane strain crack out of the interface between two dissimilar isotropic elastic solids is analyzed. The focus is on the initiation of kinking and thus the segment of the crack leaving the interface is imagined to be short compared to the segment in the interface. Accordingly, the analysis provides the stress intensity factors and energy release rate of the kinked crack in terms of the corresponding quantities for the interface crack prior to kinking. Roughly speaking, the energy release rate is enhanced if the crack heads into the more compliant material and is diminished if it kinks into the stiff material. The results suggest a tendency for a crack to be trapped in the interface irrespective of the loading when the compliant material is tough and the stiff material is at least as tough as the interface.

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