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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Journal ArticleDOI
The mechanics of self-similar and self-affine fractal cracks
TL;DR: In this paper, the authors studied the structure of stress and strain singularity at the tip of a fractal crack, which can be self-similar or self-affine, and the three classical modes of fracture and the fourth mode of fracture are discussed for fractal cracks in two-dimensional and three-dimensional solid bodies.
Journal ArticleDOI
Characterization of crack tip stress fields in test specimens using mode mixity parameters
Valery Shlyannikov,A.V. Tumanov +1 more
TL;DR: In this paper, the authors analyzed the combined effect of mode mixity, specimen geometry and relative crack length on the plastic stress intensity factor for a complete range of mixed modes of loading between mode I and mode II.
Journal ArticleDOI
Creep crack growth behaviour of Type 316H steels and proposed modifications to standard testing and analysis methods
D.W. Dean,D.N. Gladwin +1 more
TL;DR: In this article, a change in cracking mode from ductile to brittle intergranular fracture was observed with increasing test duration and the observed behaviour has then been compared with existing creep crack growth rate data for this material.
Journal ArticleDOI
Role of plasticity on interface crack initiation from a free edge and propagation in a nano-component
TL;DR: In this paper, the role of plasticity on interface crack initiation from a free edge and crack propagation in a nano-component was investigated by a proposed nano-cantilever bend method using a specimen consisting of ductile Cu and brittle Si.
Book ChapterDOI
The Shadow Optical Method of Caustics
TL;DR: The shadow optical method of caustics is a relatively new experimental technique in stress strain analysis as discussed by the authors, which was originally introduced by Manogg (1964) for investigating crack tip stress intensifications.
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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