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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Singular crack-tip plastic fields in Tresca and Mohr–Coulomb solids
Panos Papanastasiou,David Durban +1 more
TL;DR: In this article, the singular plastic fields at crack tips for Tresca and Mohr-Coulomb materials with power law hardening response were determined over a range of material parameters.
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Finite deformation analysis of crack tip fields in plastically compressible hardening–softening–hardening solids
TL;DR: In this paper, a finite strain elastic-viscoplastic constitutive relation with various hardening-softening-hardening hardness functions is characterized under plane strain small scale yielding conditions, where both plastically compressible and plastically incompressible solids are considered.
Journal ArticleDOI
Blunting phenomena in cracked ductile plates under mixed mode conditions
TL;DR: In this paper, an experimental study was carried out to study the mode of blunting of the tips in cracked ductile plates by assuming plane-stress conditions in the cracked plates and small scale yielding developed at the crack front.
Journal ArticleDOI
Surrogate Models for Estimating Failure in Brittle and Quasi-Brittle Materials
Maruti Kumar Mudunuru,Nishant Panda,Satish Karra,Gowri Srinivasan,Viet T. Chau,Esteban Rougier,Abigail Hunter,Hari S. Viswanathan +7 more
TL;DR: A method to predict failure paths under tensile loading conditions and low-strain rates is presented and it is shown that for the proposed average damage evolution model, the prediction accuracy on the test data is more than 90%.
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Evaluation of the elasto-plastic crack tip singularities via mechano-luminescent effects
TL;DR: In this article, the singularity of elasto-plastic crack under a mixed mode from the plastic J field, as well as indirectly from an elastic K field, have been suggested using Mechano-luminescence (ML) in SrAl2O4:Eu,Dy.
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.
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Numerical Solution of Ordinary and Partial Differential Equations
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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.
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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.
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