Finite Element Analysis of Minimum Plastic Zone Radius criterion for crack initiation direction under mixed mode loading

Sharanaprabhu, C. M.; Kudari, S. K.; Korsunsky, Alexander M.

doi:10.1063/1.3155125

Cited by 9 publications

(8 citation statements)

References 11 publications

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“…It is also clear from Fig.4 that, for a particular applied load, K eff in mode-I (s/W=1.6) is more than that of mode-II (s/W=0). The nature of variation of K eff vs. s/W (Fig.4) is in similar manner with the earlier reported results (Benrahou et al, 2007, Sharanaprabhu andKudari, 2008) .…”

Section: Resultssupporting

confidence: 80%

“…7. The nature of the plastic zones obtained in this analysis is in good agreement with the theoretical plastic zone shapes presented in (Benrahou et al, 2007, Sharanaprabhu andKudari, 2008). It is also seen from Fig.…”

Section: Resultssupporting

confidence: 79%

“…This figure indicates that for the similar applied load, the stress intensity factor in mode-I is more than that of mode-II. This nature of variation of K II vs. K I is in good agreement with the results shown by Sharanaprabhu and Kudari (2008), on a Compact tensile shear (CTS) specimen under mixed mode loading. The magnitudes of K I and K II have also been computed by analytical formulations given in Equations (1) and (2) (He and Hutchinson, 2000).…”

Section: Resultssupporting

confidence: 78%

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On the relationship between stress intensity factor (K) and minimum plastic zone radius (MPZR) for four point bend specimen under mixed mode loading

Kudari¹,

Sharanaprabhu²

2010

Int. J. Eng. Sci. Tech

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Studies on crack-tip plastic zones are of fundamental importance in describing the process of failure and in formulating various fracture criteria. Minimum plastic zone radius (MPZR) theory is widely used in prediction of crack initiation angle in mixed mode fracture analysis of engineering materials. In this study, shape and size of mixed mode (I/II) crack-tip plastic zones have been estimated by finite element analysis in a four point bend specimen according to von Mises yield criteria. The results obtained are used to analyze the MPZR criterion with respect to the effective stress intensity factor (K eff ) and elastic mode mixity (M e ).Keywords: minimum plastic zone radius, mixed mode I/II, finite element analysis, mode mixity, four point bend specimen.

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Section: Resultssupporting

confidence: 80%

Section: Resultssupporting

confidence: 79%

Section: Resultssupporting

confidence: 78%

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On the relationship between stress intensity factor (K) and minimum plastic zone radius (MPZR) for four point bend specimen under mixed mode loading

Kudari¹,

Sharanaprabhu²

2010

Int. J. Eng. Sci. Tech

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“…Therefore, in contrast with the predictions of some LEFM-based theoretical criteria (such as the MTS criterion), fracture toughness in pure mode III can be larger than in pure mode I. A similar argument has been presented in previous studies about mixed mode I/II fracture, too, see for example (Kudari et al, 2007;Sharanaprabhu and Kudari, 2009). …”

Section: Accepted Manuscriptmentioning

confidence: 55%

A new fixture for fracture tests under mixed mode I/III loading

Ayatollahi

Saboori

2015

European Journal of Mechanics - A/Solids

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“…There are several theories concerning crack initiation orientation under mixed-mode loadings [35][36][37][38][39], and they are mainly based on the singular elastic field, which may become inaccurate when the crack tip plasticity increases. Recently, methods for the determination of crack initiation angles based on the shape of the plastic zone have been developed, such as those of Golos and Wasiluk [40], Wasiluk and Golos [41], Kahn and Khraisheh [42], and Sharanaprabhu and Kudari [43]. The idea behind the Minimum Plastic Zone Radius (MPZR) criterion is that the crack initiates in the direction of the minimum distance between the crack tip and elastic-plastic boundary [40,41] or in the direction of the local or global minimum distance, depending on the loading condition [42].…”

Section: The Minimum Plastic Zone Radius (Mpzr) Criterionmentioning

confidence: 99%

Influence of crack tip plasticity on fatigue behaviour of laser stake-welded T-joints made of thin plates

Gallo

Guglielmo

Romanoff

et al. 2018

International Journal of Mechanical Sciences

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The paper investigates the crack tip plasticity of laser stake-welded T-joints when the thickness of the face plate is varied. For thin joints, mixed-mode condition is dominant and the Minimum Plastic Zone Radius (MPZR) criterion is employed to estimate the crack initiation direction. Subsequently, the same first-order plastic zone size r y as defined by Irwin is kept equal for the selected load levels in the MPZR direction, and finite element (FE) analyses are carried out to investigate the stress gradient over r y comparing different thicknesses. The results allow us to explain why the fatigue slope m is different for thin and thick joints. Moreover, a new method is proposed that permits the number of cycles to failure of thin joints to be derived directly from the fatigue curve of thick joints, employing an effective J-integral. The results prove that the method is able to give an estimation of the number of cycles to failure for thin joints with acceptable error.

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Finite Element Analysis of Minimum Plastic Zone Radius criterion for crack initiation direction under mixed mode loading

Cited by 9 publications

References 11 publications

On the relationship between stress intensity factor (K) and minimum plastic zone radius (MPZR) for four point bend specimen under mixed mode loading

On the relationship between stress intensity factor (K) and minimum plastic zone radius (MPZR) for four point bend specimen under mixed mode loading

A new fixture for fracture tests under mixed mode I/III loading

Influence of crack tip plasticity on fatigue behaviour of laser stake-welded T-joints made of thin plates

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