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
Dislocation crack tip shielding and the Paris exponent
TL;DR: In this article, semi-quantitative calculations are made to show how the Paris exponent can be increased by dislocation shielding and showed how dislocation crack tip shielding can cause a reduction in the fatigue crack growth rate.
Journal ArticleDOI
Modified Modeling Fracture Toughness of Functionally Graded Steels in Crack Divider Configuration
TL;DR: In this article, the fracture toughness of functionally graded steels in crack divider configuration has been modeled by utilizing plain carbon and austenitic stainless steel slices with different heights and arrangements as electroslag remelting electrodes.
Journal ArticleDOI
Effect of solution temperature on the microstructure and mechanical properties of Hastelloy X superalloy fabricated by laser directed energy deposition
Wenjun Zhang,Yongsheng Zheng,Fenggang Liu,Dawei Wang,Fencheng Liu,Chunping Huang,Qiuge Li,Xin Lin,Weidong Huang +8 more
TL;DR: In this paper, the effect of solution temperature on the microstructure and mechanical properties of Hastelloy X fabricated by laser-directed energy deposition (LDED) was investigated, and the room temperature tensile results reveal that the as-deposited sample with irregular and long-striped Laves phase presents the worst tensile strength (652 −± 10 −MPa) and elongation (30 −± 2%).
Journal ArticleDOI
Yielding and work hardening effects in notched bend bars
TL;DR: In this article, the problem of general yielding in notched bend bars has been addressed using both finite element method (FEM) calculations and also experiments on a variety of steels, finding that the plastic zone is diffuse, broad, and develops slowly, quite unlike the shape of the slipline field at general yield.
Book ChapterDOI
Solution of elastic-plastic stress analysis problems by the P-version of the finite element method
TL;DR: In this article, the deformation theory of plasticity and the displacement method are used to solve small-strain elastic-plastic stress analysis problems by the p-version of the finite element method.
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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Plane strain deformation near a crack tip in a power-law hardening material
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