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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Fatigue crack growth modeling of pipeline steels in high pressure gaseous hydrogen
TL;DR: In this article, a constitutive model that couples deformation and hydrogen-diffusion, supporting a phenomenological predictive model for fatigue crack growth, is presented for pipeline steels in high-pressure gaseous hydrogen.
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Fracture-toughness of acrylonitrile-butadiene-styrene by j-integral methods
TL;DR: In this paper, the fracture toughness of acrylonitrile-butadiene-styrene (ABS) was determined by three J-integral methods, ASTM E813-81, E 813-87, and by hysteresis.
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Role of indenter angle on the plastic deformation underneath a sharp indenter and on representative strains: An experimental and numerical study
TL;DR: In this paper, the shape, size and distribution of plastic strain underneath conical indenters of varying semi-apex angles, alpha (55 degrees, 65 degrees and 75 degrees), were determined.
Journal ArticleDOI
Constraint-based failure assessment diagrams
I. J. MacLennan,J. W. Hancock +1 more
TL;DR: In this article, a simple modification to existing failure assessment diagrams (FAD) is proposed, using a constraint matched toughness to modify one of the axes of the FAD, which recovers the original failure assessment line and unifies the constraint dependent fracture toughness data.
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The nonlinear and biaxial effects on energy release rate, J-integral and stress intensity factor
James D. Lee,Harold Liebowitz +1 more
TL;DR: In this paper, a nonlinear finite element analysis is performed for a finite center-cracked specimen subjected to biaxial loading, and a Ramberg-Osgood type stress-strain relation is used to characterize the material property.
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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