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
Metallurgical factors affecting fracture toughness of aluminum alloys
G. T. Hahn,A. R. Rosenfield +1 more
TL;DR: The fracture toughness of aluminum alloys depends on a) the extent of the heavily strained region ahead of the crack tip, which is a function of the yield strength arad modulus, b) the size of the ligaments which is related tof c, the volume fraction of cracked particles, and c) the work of rupturing ligaments.
Journal ArticleDOI
Crack tip and associated domain integrals from momentum and energy balance
Brian Moran,C. F. Shih +1 more
TL;DR: A unified derivation of crack tip flux integrals and their associated domain representations is laid out in this article using a general balance statement as the starting point, and complementary integrals which are valid for general material response and arbitrary crack tip motion are obtained.
Journal ArticleDOI
An analysis of ductile rupture modes at a crack tip
Alan Needleman,Viggo Tvergaard +1 more
TL;DR: In this paper, the influence of the nucleation and growth of micro-voids in the material near the tip of a crack is investigated, and numerical analyses of the stress and strain fields are based on finite strain theory, so that crack tip blunting is fully accounted for.
Journal ArticleDOI
Phase field modeling of defects and deformation
Yunzhi Wang,Ju Li +1 more
TL;DR: In this paper, the authors reviewed new perspectives on the phase field approach in modeling deformation and fracture at the fundamental defect level, including the ability to predict fundamental properties of individual defects such as size, formation energy, saddle point configuration and activation energy of defect nuclei, and the micromechanisms of their mutual interactions.
Book ChapterDOI
Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics
TL;DR: In this paper, the authors define a force acting on each element of a mobile interface (a phase boundary or martensitic interface, for example) and define the crack extension force of fracture mechanics.
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.
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
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Noel P. O’Dowd,C. F. Shih +1 more