Journal ArticleDOI
Singular behaviour at the end of a tensile crack in a hardening material
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In this paper, a total deformation theory of plasticity, in conjunction with two hardening stress-strain relations, is used to determine the dominant singularity at the tip of a crack in a tension field.Abstract:
D istributions of stress occurring at the tip of a crack in a tension field are presented for both plane stress and plane strain. A total deformation theory of plasticity, in conjunction with two hardening stress-strain relations, is used. For applied stress sufficiently low such that the plastic zone is very small relative to the crack length, the dominant singularity can be completely determined with the aid of a path-independent line integral recently given by rice (1967). The amplitude of the tensile stress singularity ahead of the crack is found to be larger in plane strain than in plane stress.read more
Citations
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Formulating stress corrosion cracking growth rates by combination of crack tip mechanics and crack tip oxidation kinetics
TL;DR: In this article, a theoretical equation for stress corrosion crack growth rate of austenitic alloys in high temperature water is reformulated based on crack tip asymptotic fields and crack tip transient oxidation kinetics.
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A generalized theory of fracture mechanics
TL;DR: In this article, a fracture-mechanics theory is developed which gives fracture criteria for solids in general, without limitations as to their linearity, elastic behaviour or infinitesimal strain.
Journal ArticleDOI
CTOA and crack-tunneling measurements in thin sheet 2024-T3 aluminum alloy
D. S. Dawicke,Michael A. Sutton +1 more
TL;DR: In this article, the CTOA values during stable tearing were measured by two independent methods, optical microscopy and digital image correlation, for 2.3mm thick sheets of 2024-T3 aluminum alloy.
Journal ArticleDOI
The Role of Continuum Damage in Creep Crack Growth
TL;DR: Theoretical predictions of lifetimes, expressed as a representative rupture stress, of damage fields and of crack growth are made by using a previously developed finite element system based on the theory of continuum damage mechanics as mentioned in this paper.
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Fatigue crack growth in metals and alloys: mechanisms and micromechanics
D. L. Davidson,J. Lankford +1 more
TL;DR: In this article, a critical review of crack growth mechanisms, mainly for large fatigue cracks subject to constant temperature, is presented, and the factors limiting a deeper understanding of fatigue crack growth are also clearly defined.
References
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Book
The mathematical theory of plasticity
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
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Numerical Solution of Ordinary and Partial Differential Equations
Journal ArticleDOI
Local yielding and extension of a crack under plane stress
G.T Hahn,A. R. Rosenfield +1 more
TL;DR: In this article, the size of locally yielded regions, the stress distribution, and displacements attending a crack in tension under plane stress have been calculated by extending the work of Dugdale and others.
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Contained plastic deformation near cracks and notches under longitudinal shear
TL;DR: In this paper, an exact linear elastic-perfectly plastic solution for the problem of sharp notch (or, when the notch angle is zero, a crack) in a plane of finite width subjected to anti-plane stresses inducing a stress and deformation state of longitudinal shear is presented.
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