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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Numerical simulation of fracture mode transition in ductile plates
Liang Xue,Tomasz Wierzbicki +1 more
TL;DR: In this article, the authors introduce an azimuthal dependent fracture envelope and illustrate that two competing fracture mechanisms, governed by the pressure and the Lode angle of the stress tensor, respectively, exist ahead of the crack tip.
Journal ArticleDOI
Modelling cleavage fracture of bainitic steels
Antonio Martín-Meizoso,Antonio Martín-Meizoso,I. Ocaña-Arizcorreta,I. Ocaña-Arizcorreta,J. Gil-Sevillano,J. Gil-Sevillano,M. Fuentes-Pérez,M. Fuentes-Pérez +7 more
TL;DR: In this article, a statistical weakest link fracture model was developed to predict the fracture stress and critical stress intensity factor as a function of the temperature of a bainitic steel.
Book
Mechanics of Biomaterials: Fundamental Principles for Implant Design
TL;DR: The material properties of biomaterials and tissues can be found in this article, where the authors present a table of material properties for biomaterial and tissue replacement in the context of medical implant design.
Journal ArticleDOI
Higher-order analysis of crack tip fields in elastic power-law hardening materials
TL;DR: In this paper, a higher-order asymptotic analysis of a stationary crack in an elastic power-law hardening material has been carried out for plane strain, Mode 1.
Journal ArticleDOI
The J-integral applied to cyclic loading
TL;DR: In this article, the influence of notch geometry on the life to fatigue crack initiation was determined using a modified two-dimensional J- integral analysis, where a notched plate was subjected to fully reversed cyclic nominal strain control to determine the strain history at the notch root.
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.
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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