A method for the evaluation of regular components of the stress field in the plastic zone near the tip of a mode-I crack

A continuous stress field for the mode I crack problem for a perfectly plastic material under plane stress loading conditions has been obtained recently. Here, a kinematically admissible velocity field is introduced, which is compatible with the continuous stress field obtained earlier. By associating these two fields together, it is shown that they constitute a complete solution for the uncontained plastic flow problem around a finite length internal crack, having a positive rate of plastic work. The yield condition employed is an alternative criterion first proposed by Richard von Mises in order to approximate the plane stress Huber-Mises yield condition, which is elliptical in shape, to one that is composed of two intersecting parabolas in the principal stress plane.

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Asymptotic Stress Field of a Mode I Crack in a Nolinear-Hardening Damage Material.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.64.1183 ◽

1998 ◽

Vol 64 (621) ◽

pp. 1183-1191 ◽

Cited By ~ 2

Author(s):

Yan LIU ◽

Sumio MURAKAMI

Keyword(s):

Stress Field ◽

Mode I ◽

Mode I Crack

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Fracture Mechanics of Tapered Cracks

Volume 6: Materials and Fabrication, Parts A and B ◽

10.1115/pvp2009-77032 ◽

2009 ◽

Author(s):

Edwin Smith

Keyword(s):

Fracture Mechanics ◽

Stress Field ◽

Fracture Initiation ◽

Mode I ◽

Mode I Crack ◽

Mode Iii ◽

Singularity Order

The paper shows that for the Mode III loading of a tapered crack whose near tip profile is defined by the relation (y/c) = (x/c)m, the singularity order of the stress field is −1/2, as it is for a linear crack, irrespective of the m value. This result is a generalization of the result reached in an earlier paper by the author, for the particular case m = 3/2. The result’s implications to the quantification of fracture initiation at the root of a Mode I crack are discussed.

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Plastic zone in front of a mode I crack in acrylonitrile-butadiene-styrene polymers

Polymer ◽

10.1016/0032-3861(91)90106-s ◽

1991 ◽

Vol 32 (15) ◽

pp. 2766-2770 ◽

Cited By ~ 14

Author(s):

B.Y Ni ◽

J.C.M Li ◽

V.K Berry

Keyword(s):

Plastic Zone ◽

Acrylonitrile Butadiene Styrene ◽

Mode I ◽

Mode I Crack ◽

Butadiene Styrene

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Correlation of a plastic zone length near the tip of a mode I crack in an orthotropic material with anisotropy parameters

Strength of Materials ◽

10.1007/bf02511133 ◽

1999 ◽

Vol 31 (4) ◽

pp. 351-355 ◽

Cited By ~ 2

Author(s):

V. N. Bastun

Keyword(s):

Plastic Zone ◽

Orthotropic Material ◽

Mode I ◽

Mode I Crack ◽

Zone Length ◽

Anisotropy Parameters

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The Effect of T-Stress on Crack-Tip Plastic Zones Under Cyclic Mixed-Mode Loading Conditions

Volume 3: Materials Technology; Ocean Space Utilization ◽

10.1115/omae2013-11220 ◽

2013 ◽

Author(s):

Qays Nazarali ◽

Xin Wang

Keyword(s):

Stress Intensity ◽

Cyclic Loading ◽

Stress Field ◽

Plastic Zone ◽

Mixed Mode ◽

Crack Tip ◽

Mode I ◽

Loading Conditions ◽

T Stress ◽

Plastic Zones

In this paper, the influence of T-stress on crack-tip plastic zones under mixed-mode I and II loading conditions under cyclic loading is examined. The crack-tip stress field is defined in terms of the ranges of mixed-mode stress intensity factors and the T-stress using William’s series expansion. The crack-tip stress field is incorporated into the Von Mises yield criteria to develop an expression that determines the cyclic crack-tip plastic zone. Using the resultant expression, the cyclic plastic zone is obtained for various combinations of mode II to mode I stress intensity factor ratios and levels of T-stress. For the purpose of demonstrating the significance of the T-stress, this paper further analyses the plastic zone size for center cracked plate (CCP) specimen subjected to bi-axial mixed-mode cyclic loading.

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Stress state in the plastic zone on the continuation of an elliptic mode I crack under bi-and tri-axial loading

International Applied Mechanics ◽

10.1007/s10778-007-0123-6 ◽

2007 ◽

Vol 43 (11) ◽

pp. 1202-1207 ◽

Cited By ~ 6

Author(s):

G. V. Galatenko

Keyword(s):

Stress State ◽

Plastic Zone ◽

Axial Loading ◽

Mode I ◽

Mode I Crack

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A Plastic Zone Equation Based on Mean Yield Criterion

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.97-101.534 ◽

2010 ◽

Vol 97-101 ◽

pp. 534-537 ◽

Cited By ~ 3

Author(s):

Wei Deng ◽

De Wen Zhao ◽

Xiao Mei Qin ◽

Xiu Hua Gao ◽

Chun Lin Qiu ◽

...

Keyword(s):

Fracture Toughness ◽

Analytical Solution ◽

Plastic Zone ◽

Yield Criterion ◽

Small Scale ◽

Mode I ◽

Mode I Crack ◽

Small Scale Yielding ◽

Scale Yielding ◽

My Criterion

Based on mean yield criterion, an analytical solution for the mode I crack tip plastic zone (CTPZ) under small scale yielding was derived. The results reveal that the size of CTPZ determined by MY criterion is between those by Mises’ yield criterion the smallest, and by Tresca’s criterion the largest; while the zone is almost coincide with that by Mises’ one. The size of CTPZ is related to the ratio of fracture toughness to yield strength; with increasing of the ratio, the size of the zone increases, meaning the better of fracture toughness.

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