Journal ArticleDOI
Singular behaviour at the end of a tensile crack in a hardening material
Reads0
Chats0
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
Extended investigation of the test specimen thickness (TST) effect on the fracture toughness (Jc) of a material in the ductile-to-brittle transition temperature region as a difference in the crack tip constraint − What is the loss of constraint in the TST effects on Jc?
TL;DR: In this paper, the authors investigated several well-known constraint parameters to determine their correlations with the TST effect and the bounded nature of Jc for increasing TST in the ductile-to-brittle transition temperature region.
Journal ArticleDOI
Creep crack growth in creep-brittle Ti-6242 alloys
TL;DR: In this article, the effects of loading conditions and microstructure on creep crack growth (CCG) behavior at 500°C were studied on a creep-brittle titanium alloy Ti-6242.
Journal ArticleDOI
Study of creep relaxation under combined mechanical and residual stresses
H. Yazdani Nezhad,Noel P. O’Dowd +1 more
TL;DR: In this paper, the elastic and elastic-plastic creep behavior of cracked structures in the presence of residual stress has been studied numerically and the residual stress is introduced by prior mechanical loading and mechanical stress levels are varied to evaluate the transient crack tip parameter, C(t), in single edge notch bend and tension specimens, using the finite element (FE) method.
Journal ArticleDOI
A crack at the interface between an elastic-perfectly plastic solid and a rigid substrate
Quanxin Guo,Leon M. Keer +1 more
TL;DR: In this article, a one-parameter family of asymptotic near-tip stress fields for the case of a stationary and quasi-statically growing case under the condition of plane strain was presented.
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