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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Estimation procedure for the Weibull parameters used in the local approach
TL;DR: In this paper, a procedure for the determination of the Weibull parameters m and σ petertodd u is developed, which is based on the analysis of the plastic zone ahead of the crack tip from which cleavage fracture originates.
Journal ArticleDOI
The dynamics of rapid fracture: instabilities, nonlinearities and length scales
TL;DR: It is shown how, on the one hand, recent experiments performed on straight cracks propagating in soft brittle materials have quantitatively confirmed the predictions of this theory to an unprecedented degree, and how this breakdown naturally leads to a new theoretical framework coined 'weakly nonlinear fracture mechanics', where weak elastic nonlinearities are incorporated.
Journal ArticleDOI
Influence of microstructure on crack-tip micromechanics and fracture behaviors of a two-phase TiAl alloy
Kwai S. Chan,Young-Won Kim +1 more
TL;DR: In this paper, a two-phase (γ + α2) gamma titanium aluminide alloy, Ti-47Al-2.6Nb-2(Cr+V), heat-treated for the microstructure of either fine duplex (gamma + lamellar) or predominantly lamella micro-structure was studied in the 25 °C to 800 °C range.
Journal ArticleDOI
Hydrogen-controlled cracking—An approach to threshold stress intensity
William W Gerberich,Youxing Chen +1 more
TL;DR: In this article, the threshold stress intensities, KTH, below which no cracking will occur under stress-corrosion cracking or hydrogen-assisted cracking conditions, are discussed.
Book ChapterDOI
Advances in Numerical Modelling of Adhesive Joints
TL;DR: This book deals with the most recent numerical modelling of adhesive joints, and advances in damage mechanics and extended finite element method are described in the context of the FE method with examples of application.
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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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