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
The energy dissipation rate approach to tearing instability
TL;DR: In this paper, an alternative analysis route based on energy dissipation rate, D, was proposed, which can be applied to all product thicknesses at any extent of crack growth.
Journal ArticleDOI
Matched asymptotic solution for crease nucleation in soft solids.
TL;DR: Ciarletta develops an analytical theory to describe the nucleation threshold of creases in agreement with experiments and numerical simulations that provides theoretical insights of the physics behind crease nucleation.
Journal ArticleDOI
Effect of heat treatment on mechanical property and microstructure of a powder metallurgy nickel-based superalloy
TL;DR: In this paper, single and multi-step aging treatments (SAT and MAT) following a super-solvus solution treatment were employed to tailor the mechanical property of a prototypical powder metallurgy (PM) nickel-based superalloy.
Journal ArticleDOI
Notch-sensitivity of non-linear materials
TL;DR: In this paper, the relationship between breaking stress, σB, and crack length, a, and between breaking strain, eB and a have been calculated for materials whose stress-strain behavior is approximated by σ=ke n.
Journal ArticleDOI
Fatigue crack tip plastic strain in high-strength aluminum alloys
David L. Davidson,James Lankford +1 more
TL;DR: In this article, the authors used selected area electron channeling (SAE) to determine the plastic zone size and shape for the high-strength aluminium alloys 2024-T4, 6061 T6, and 7075-T6.
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