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
Criteria for fracture initiation at hydrides in zirconium alloys I. Sharp crack tip
San-Qiang Shi,M. P. Puls +1 more
TL;DR: In this article, a theoretical framework for the initiation of delayed hydride cracking in zirconium is proposed for two different types of initiating sites, i.e., a sharp crack tip and a shallow notch.
Journal ArticleDOI
Fracture in mechanism-based strain gradient plasticity
TL;DR: Gao et al. as discussed by the authors presented a study of fracture by the theory of mechanism-based strain gradient (MSG) plasticity, which provided a means to explain the observed cleavage fracture in ductile material.
Book ChapterDOI
Computational methods based on an energy integral in dynamic fracture
TL;DR: In this article, an expression for the crack tip energy flux in terms of near tip mechanical fields which is valid for general material response is derived and it is demonstrated that certain useful energy integrals may be extracted from the general result by invoking the appropriate characterization of material response.
Journal ArticleDOI
The Equivalent Strain Energy Density approach re-formulated and applied to sharp V-shaped notches under localized and generalized plasticity
Paolo Lazzarin,R. Zambardi +1 more
TL;DR: In this article, the authors proposed a re-formulation of the equivalent strain energy density (ESED) approach for sharp V-shaped notches, which is applied no longer at the notch tip but to a finite size circular sector surrounding the notch.
Journal ArticleDOI
Finite strains at the tip of a crack in a sheet of hyperelastic material: I. Homogeneous case
TL;DR: In this paper, an asymptotic analysis of the strain and stress fields at the tip of a crack in a sheet of incompressible hyperelastic material is performed within the framework of finite elastostatics and for the class of Generalized NeoHookean materials.
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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