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
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Book ChapterDOI
A Brief Review on Computational Modeling of Rupture in Soft Biological Tissues
TL;DR: This chapter provides a brief review of some constitutive frameworks and related computational models with the potential to predict the clinically relevant phenomena of rupture of soft biological tissues, and provides a critical discussion and overview of some open problems and possible improvements of the computational modeling concepts for soft tissue rupture.
Journal ArticleDOI
Fully enriched weight functions in mesh-free methods for the analysis of linear elastic fracture mechanics problems
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Journal ArticleDOI
Transient crack-tip fields for mixed-mode power law creep
TL;DR: In this paper, mixed-mode stationary crack-tip fields are obtained for an elastic-nonlinear viscous power law creeping solid under conditions of plane strain and small-scale creep.
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Crack Turning in Integrally Stiffened Aircraft Structures
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Journal ArticleDOI
Plane-stress mixed-mode near-tip fields in elastic perfectly plastic solids
Pingsha Dong,Jwo Pan +1 more
TL;DR: In this paper, the authors examined the plane-strain mixed-mode near-tip fields of a stationary crack in an elastic perfectly plastic solid under small-scale yielding conditions.
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.
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