Journal ArticleDOI
Singular behaviour at the end of a tensile crack in a hardening material
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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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Book ChapterDOI
Computational fracture mechanics
James R. Rice,D.M. Tracey +1 more
TL;DR: In this article, a finite element solution to the large-scale yielding of a circumferentially cracked round tension bar is obtained, and the three-dimensional aspects of flawed structures and numerical methods of treating them are studied.
Journal ArticleDOI
Calculation of inelastic notch-tip strain-stress histories under cyclic loading
TL;DR: In this paper, an application of the equivalent strain energy density method for calculation of elastic-plastic notch-tip strain under cyclic loading is presented. But the energy density was not applied to the case of the plastic yielding around the notch tip.
Journal ArticleDOI
Continuing crack-tip deformation and fracture for plane-strain crack growth in elastic-plastic solids
James R. Rice,E. P. Sorensen +1 more
TL;DR: In this article, the deformation field consistent with a Prandtl stress distribution travelling with an advancing plane-strain crack is analyzed and the functional form of the near tip crack profile in an elastic-plastic solid.
Journal ArticleDOI
Higher order asymptotic crack tip fields in a power-law hardening material
TL;DR: In this article, the asymptotic stress and deformation fields for a crack tip embedded in a power-law elastic-plastic material are developed for a plane problems, and the most singular term in the series solution is the HRR solution, after Hutchinson and Rice and Rosengren.
Journal ArticleDOI
Requirements for a one parameter characterization of crack tip fields by the HRR singularity
C. F. Shih,M. D. German +1 more
TL;DR: In this article, the authors compared the crack tip stress and strain fields for the edge crack bar subjected to bending and the center cracked panel and single cracked panel subjected to tensile loads at the same level of applied J-integral or crack tip opening displacement.
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
Family of crack-tip fields characterized by a triaxiality parameter—I. Structure of fields
Noel P. O’Dowd,C. F. Shih +1 more