Journal ArticleDOI
Plastic yielding on inclined slip-planes at a crack tip
Reads0
Chats0
TLDR
In this paper, the authors studied the plastic yield at crack tips on singular slip-planes, inclined to the crack plane, under plane-strain conditions for combined tension, hydrostatic stress, and in-plane shear.Abstract:
Plastic yield at crack tips on singular slip-planes, inclined to the crack plane, has been studied under plane-strain conditions for combined tension, hydrostatic stress, and in-plane shear. The singular integral equation, which represents the equilibrium condition of edge dislocations on the slip-planes, is transformed into a Fredholm integral equation in order to avoid difficulties that occur with its numerical solution. Results are presented for the slip-band length, the plastic crack-tip opening displacement, stress fields, and crack-opening contours. A series expansion of the results obtained numerically confirms approximate analytical expressions given by J.R. Rice (1974), up to the third-order in the applied stresses. The results of finite element methods agree with values of the crack-tip opening displacement obtained here to within 10 per cent. Ahead of the crack tip, the principal tensile stresses exceed the principal shear stresses by a factor of 10, approximately.read more
Citations
More filters
Journal ArticleDOI
Singular Integral Equations. By N.I. Muskhelishvili. Translated fromthe 2nd Russian edition by J.R.M. Radok. Pp. 447. F1. 28.50. 1953. (Noordhoff, Groningen)
Journal ArticleDOI
Cleavage, dislocation emission, and shielding for cracks under general loading
I.-H. Lin,Robb Thomson +1 more
TL;DR: In this paper, the conditions for the existence of a cleavage crack in a lattice and its response to all types of external loads when shielded by neighboring dislocations are considered.
Journal ArticleDOI
The necessity of both plasticity and brittleness in the fracture thresholds of iron
TL;DR: In this article, the local stress tensor near a crack in an anisotropic elastic solid with shielding dislocations was determined, and it was shown that the elastic stress distribution is translated out from the crack tip by about 23 nm and that large stresses still exist.
Journal ArticleDOI
Creep deformation at crack tips in elastic-viscoplastic solids
TL;DR: In this paper, a path-independent integral C ∗ h, which correlates the near-tip stress field to the applied load, is defined for the special hardening creep-law considered.
Book ChapterDOI
Physics of Fracture
TL;DR: The field of fracture research is extraordinary in the range of disciplines it spans and draws from, and it will be my purpose to demonstrate that there is an important physical dimension to this subject.
References
More filters
Book
Theory of Dislocations
John Price Hirth,Jens Lothe +1 more
TL;DR: Dislocations in Isotropic Continua: Effects of Crystal Structure on Dislocations and Dislocation-Point-Defect Interactions at Finite temperatures.
Journal ArticleDOI
Yielding of steel sheets containing slits
TL;DR: In this article, a relation between extent of plastic yielding and external load applied was investigated, and panels containing internal and edge slits were loaded in tension and lengths of plastic zones were measured.
Journal ArticleDOI
Singular Integral Equations. By N.I. Muskhelishvili. Translated fromthe 2nd Russian edition by J.R.M. Radok. Pp. 447. F1. 28.50. 1953. (Noordhoff, Groningen)
Journal ArticleDOI
Dislocations and Cracks in Anisotropic Elasticity
TL;DR: In this paper, the authors considered the elastic equations for the case in which the state of the solid is independent of one of the three Cartesian coordinates, and the stresses due to a dislocation, a wall of parallel dislocations, and a crack in an arbitrary non-uniform stress field were obtained.