Elastic-Plastic Crack-Tip Fields Under History-Dependent Loading

2009 ◽  
pp. 206-206-19
Author(s):  
FW Brust ◽  
J Ahmad ◽  
S Naboulsi
Keyword(s):  
Crack Tip ◽  
Elastic Plastic ◽  
Crack Tip Fields

T-Stress in Elastic-plastic Crack-tip Fields

2005 ◽  
Vol 136 (1-4) ◽  
pp. L9-L14 ◽  
Author(s):  
Changlu Tian ◽  
Weicheng Cui
Keyword(s):  
Crack Tip ◽  
Elastic Plastic ◽  
Crack Tip Fields ◽  
T Stress

Elastic-plastic J-Tz dominance in bending and tension loadings

2019 ◽  
Vol 10 (5) ◽  
pp. 644-659
Author(s):  
Feizal Yusof ◽  
Karh Heng Leong
Keyword(s):  
Crack Length ◽  
Power Law ◽  
Crack Front ◽  
Three Dimensional ◽  
Crack Tip ◽  
Content Type ◽  
Elastic Plastic ◽  
Crack Tip Fields ◽  
Out Of Plane ◽  
Crack Tip Stress

Purpose Crack tip stresses are used to relate the ability of structures to perform under the influence of cracks and defects. One of the methods to determine three-dimensional crack tip stresses is through the J-Tz method. The J-Tz method has been used extensively to characterize the stresses of cracked geometries that demonstrate positive T-stress but limited in characterizing negative T-stresses. The purpose of this paper is to apply the J-Tz method to characterize a three-dimensional crack tip stress field in a changing crack length from positive to negative T-stress geometries. Design/methodology/approach Elastic-plastic crack border fields of deep and shallow cracks in tension and bending loads were investigated through a series of three-dimensional finite element (FE) and analytical J-Tz solutions for a range of crack lengths ranging from 0.1⩽a/W⩽0.5 for two thickness extremes of B/(W − a)=1 and 0.05. Findings Both the FE and the J-Tz approaches showed that the combined in-plane and the out-of-plane constraint loss were differently affected by the T-stress and the out-of-plane size effects when the crack length changed from deep to shallow cracks. The conditions of the J-Tz dominance on the three-dimensional crack front tip were shown to be limited to positive T-stress geometries, and the J-Tz-Q2D approach can extend the crack border dominance of the three-dimensional deep and shallow bend models along the crack front tip until perturbed by an elastic-plastic corner field. Practical implications The paper reports the limitation of the J-Tz approach, which is used to calculate the state of three-dimensional crack tip stresses in power law hardening materials. The results from this paper suggest that the characterization of the three-dimensional crack tip stress in power law hardening materials is still an open issue and requires other suitable solutions to solve the problem. Originality/value This paper demonstrates a thorough analysis of a three-dimensional elastic-plastic crack tip fields for geometries that are initially either fully constrained (positive T-stress) or unconstrained (negative T-stress) crack tip fields but, subsequently, the T-stress sign changes due to crack length reduction and specimen thickness increase. The J-Tz stress-based method has been tested and its dominance over the crack tip field is shown to be affected by the combined in-plane and the out-of-plane constraints and the corner field effects.

Experiences in applying ADINA to the analysis of crack tip fields in elastic-plastic fracture mechanics

1985 ◽  
Vol 21 (1-2) ◽  
pp. 137-158 ◽  
Author(s):  
Wolfgang Brocks ◽  
Wilfried Müller ◽  
Jürgen Olschewski
Keyword(s):  
Fracture Mechanics ◽  
Crack Tip ◽  
Elastic Plastic ◽  
Crack Tip Fields

Stationary crack tip fields in elastic–plastic solids: an overview of recent numerical simulations

2009 ◽  
Vol 42 (21) ◽  
pp. 214005 ◽  
Author(s):  
R Narasimhan ◽  
H Y Subramanya ◽  
S D Patil ◽  
Parag Tandaiya ◽  
U Ramamurty
Keyword(s):  
Numerical Simulations ◽  
Crack Tip ◽  
Stationary Crack ◽  
Elastic Plastic ◽  
Crack Tip Fields

Constraint-based failure assessment diagrams

1995 ◽  
Vol 451 (1943) ◽  
pp. 757-777 ◽  
Keyword(s):  
Crack Tip ◽  
Single Parameter ◽  
Elastic Plastic ◽  
The Past ◽  
Crack Tip Fields ◽  
Failure Assessment ◽  
Constraint Effects ◽  
Two Parameters

Constraint-dependent toughness has been addressed by characterizing elastic-plastic crack tip fields and the associated toughness in terms of two parameters: J , and a parameter that indexes the level of constraint ( T/Q ). In the past, failure assessment diagrams have been developed on the basis of a single-parameter characterization of toughness. The present work modifies these diagrams to incorporate constraint effects and indicates the loadings where advantage can be taken of constraint enhanced toughness.

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