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
More filters
Journal ArticleDOI
Stress and strain fields at the tip of a sharp V-notch in a power-hardening material
Zhen-Bang Kuang,Xiaopeng Xu +1 more
TL;DR: In this paper, the singularity of strain energy density at the tip of a sharp V-notch in a power hardening material is investigated and the analytical formula of the strain field at the point of interest for an ideal plastic material is found.
Journal ArticleDOI
Influence of phase transformations on the asymptotic residual stress distribution arising near a sharp V-notch tip
TL;DR: In this article, the residual stress distribution induced by the solidification and cooling of a fusion zone in the vicinity of a sharp V-notch tip is investigated, and the intensity of the residual asymptotic stress fields, quantified by the notch stress intensity factors, was studied for two different Vnotch specimen geometries under generalized plane-strain conditions.
Journal ArticleDOI
Finite element simulation of creep-crack growth in a nickel base superalloy
Liguo Zhao,Jie Tong,J. Byrne +2 more
TL;DR: In this article, the authors simulated the creep-crack growth in a standard compact-tension specimen, Waspaloy, at 650°C using the finite element code ABAQUS.
Journal ArticleDOI
Mode I crack propagation in elastic-plastic pressure-sensitive materials
Davide Bigoni,Enrico Radi +1 more
TL;DR: In this article, a steady-state, quasi-static crack propagation for elastoplastic pressure-sensitive solids is analyzed for the case of linear-isotropic hardening, under plane stress and plane strain conditions.
Journal ArticleDOI
A singular ES-FEM for plastic fracture mechanics
TL;DR: In this article, the authors developed a seven-node singular element which has a displacement field containing the HRR term and the second order term, which is formulated based on the edge-based smoothed finite element method (ES-FEM).
References
More filters
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.
Related Papers (5)
Plane strain deformation near a crack tip in a power-law hardening material
James R. Rice,G. F. Rosengren +1 more
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
Family of crack-tip fields characterized by a triaxiality parameter—I. Structure of fields
Noel P. O’Dowd,C. F. Shih +1 more