A failure criterion for brittle elastic materials under mixed-mode loading

Zohar Yosibash; Elad Priel; Dominique Leguillon

doi:10.1007/s10704-006-0083-6

A failure criterion for brittle elastic materials under mixed-mode loading

Zohar Yosibash, Elad Priel, Dominique Leguillon

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

151 Scopus citations

Abstract

The failure criterion of Leguillon at reentrant corners in brittle elastic materials (Leguillon 2002, Eur J Mech A/Solids 21: 61-72; Leguillon et al. (2003), Eur J Mech A - Solids 22(4): 509-524) validated in (Yosibash et al. 2004, Int J Fract 125(3-4): 307-333) for mode I loading is being extended to mixed mode loading and is being validated by experimental observations. We present an explicit derivation of all quantities involved in the computation of the failure criterion. The failure criterion is validated by predicting the critical load and crack initiation angle of specimens under mixed mode loading and comparison to experimental observations on PMMA (polymer) and Macor (ceramic) V-notched specimens.

Original language	English
Pages (from-to)	291-312
Number of pages	22
Journal	International Journal of Fracture
Volume	141
Issue number	1-2
DOIs	https://doi.org/10.1007/s10704-006-0083-6
State	Published - 1 Sep 2006

Keywords

Failure initiation
Generalized stress intensity factors
Mixed-mode fracture
V-notch

ASJC Scopus subject areas

Computational Mechanics
Modeling and Simulation
Mechanics of Materials

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10.1007/s10704-006-0083-6

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title = "A failure criterion for brittle elastic materials under mixed-mode loading",

abstract = "The failure criterion of Leguillon at reentrant corners in brittle elastic materials (Leguillon 2002, Eur J Mech A/Solids 21: 61-72; Leguillon et al. (2003), Eur J Mech A - Solids 22(4): 509-524) validated in (Yosibash et al. 2004, Int J Fract 125(3-4): 307-333) for mode I loading is being extended to mixed mode loading and is being validated by experimental observations. We present an explicit derivation of all quantities involved in the computation of the failure criterion. The failure criterion is validated by predicting the critical load and crack initiation angle of specimens under mixed mode loading and comparison to experimental observations on PMMA (polymer) and Macor (ceramic) V-notched specimens.",

keywords = "Failure initiation, Generalized stress intensity factors, Mixed-mode fracture, V-notch",

author = "Zohar Yosibash and Elad Priel and Dominique Leguillon",

note = "Funding Information: Fig. 17 Photographs of the fracture path at the 315◦ V-notch tip in 4PB MACOR specimens Fig. 18 Predicted and experimental crack initiation angle (left) and critical load [N] (right) for 4PB MACOR specimens with 315◦ V-notch angle Acknowledgements The authors thank Dr. Arie Bussiba and Mr. Moshe Kupiec for their help in performing the experiments and Mr. Ilan Gilad for his help with FE analyses. This research has been partially funded by the VATAT-VEE grant number 86/06.",

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doi = "10.1007/s10704-006-0083-6",

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AU - Yosibash, Zohar

AU - Priel, Elad

AU - Leguillon, Dominique

N1 - Funding Information: Fig. 17 Photographs of the fracture path at the 315◦ V-notch tip in 4PB MACOR specimens Fig. 18 Predicted and experimental crack initiation angle (left) and critical load [N] (right) for 4PB MACOR specimens with 315◦ V-notch angle Acknowledgements The authors thank Dr. Arie Bussiba and Mr. Moshe Kupiec for their help in performing the experiments and Mr. Ilan Gilad for his help with FE analyses. This research has been partially funded by the VATAT-VEE grant number 86/06.

PY - 2006/9/1

Y1 - 2006/9/1

N2 - The failure criterion of Leguillon at reentrant corners in brittle elastic materials (Leguillon 2002, Eur J Mech A/Solids 21: 61-72; Leguillon et al. (2003), Eur J Mech A - Solids 22(4): 509-524) validated in (Yosibash et al. 2004, Int J Fract 125(3-4): 307-333) for mode I loading is being extended to mixed mode loading and is being validated by experimental observations. We present an explicit derivation of all quantities involved in the computation of the failure criterion. The failure criterion is validated by predicting the critical load and crack initiation angle of specimens under mixed mode loading and comparison to experimental observations on PMMA (polymer) and Macor (ceramic) V-notched specimens.

AB - The failure criterion of Leguillon at reentrant corners in brittle elastic materials (Leguillon 2002, Eur J Mech A/Solids 21: 61-72; Leguillon et al. (2003), Eur J Mech A - Solids 22(4): 509-524) validated in (Yosibash et al. 2004, Int J Fract 125(3-4): 307-333) for mode I loading is being extended to mixed mode loading and is being validated by experimental observations. We present an explicit derivation of all quantities involved in the computation of the failure criterion. The failure criterion is validated by predicting the critical load and crack initiation angle of specimens under mixed mode loading and comparison to experimental observations on PMMA (polymer) and Macor (ceramic) V-notched specimens.

KW - Failure initiation

KW - Generalized stress intensity factors

KW - Mixed-mode fracture

KW - V-notch

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JO - International Journal of Fracture

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ER -

A failure criterion for brittle elastic materials under mixed-mode loading

Abstract

Keywords

ASJC Scopus subject areas

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