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
The ductile fracture of metals: A microstructural viewpoint
TL;DR: A review of the literature on the ductile fracture of metals and alloys reveals almost immediately that the majority of investigations approach the topic from a fracture mechanics point of view and that papers based entirely on microstructural research are rare as discussed by the authors.
Journal ArticleDOI
Similarity analysis of inelastic contact
TL;DR: In this paper, a viscoplastic framework is laid down for a wide class of constitutive properties where strain-hardening plasticity, creep and also nonlinear elasticity arise as special cases.
Journal ArticleDOI
The necessity of both plasticity and brittleness in the fracture thresholds of iron
TL;DR: In this article, the local stress tensor near a crack in an anisotropic elastic solid with shielding dislocations was determined, and it was shown that the elastic stress distribution is translated out from the crack tip by about 23 nm and that large stresses still exist.
ReportDOI
Continuum and micromechanics treatment of constraint in fracture
TL;DR: In this article, the authors explore the fundamental concepts of the J-Q description of crack-tip fields, the fracture toughness locus and micromechanics approaches to predict the variability of macroscopic fracture toughness with constraint under elastic-plastic conditions.
Journal ArticleDOI
Fracture toughness of hydrogels: measurement and interpretation
Rong Long,Chung-Yuen Hui +1 more
TL;DR: This article discusses the experimental measurement and theoretical interpretation of the fracture toughness for soft hydrogels, and the physical mechanisms responsible for the rate-dependence, and outlines the difficulties to rigorously define the fracture Toughness for both crack initiation and propagation.
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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