Journal ArticleDOI
Singular behaviour at the end of a tensile crack in a hardening material
TLDR
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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Journal ArticleDOI
Quasi-equilibrium modeling of the toughness transition during semibrittle cleavage
H. Huang,William W Gerberich +1 more
TL;DR: In this paper, a discretized dislocation model is used to assess the quasi-state equilibrium, crack tip emission and shielding of near-tip dislocations for Mo single crystals.
Journal ArticleDOI
Ductile fracture in HY100 steel under mixed mode I/Mode II loading
D. Bhattacharjee,J.F. Knott +1 more
TL;DR: In this paper, it is shown that the profile of the notch tip changes with increasing mixed mode load in such a way that one side of the tip blunts while the other sharpens.
Journal ArticleDOI
Evidence of a thin sheet toughening mechanism in Al−Fe−X alloys
TL;DR: In this article, a thin sheet toughening mechanism was proposed for improving the fracture resistance (KIC and tearing modulus) of powder-metallurgy alloys of limited ductility.
Journal ArticleDOI
The extended finite element method for large deformation ductile fracture problems with a non-local damage-plasticity model
P. Broumand,Amir R. Khoei +1 more
TL;DR: In this paper, an enriched FEM technique is presented for the crack growth simulation in large deformation ductile fracture problems using a non-local damage-plasticity model in the framework of eXtended Finite Element Method (X-FEM).
Journal ArticleDOI
Cyclic j-integral in relation to fatigue crack initiation and propagation
C.L. Chow,Tian Jian Lu +1 more
TL;DR: In this article, the generalized driving force attached to a fatigue crack tip is in the first instance re-examined with the introduction of a new cyclic J-integral.
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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