Modeling wing crack extension: Implications for the ingredients of discrete element model

Yucang Wang; Peter Mora

doi:10.1007/s00024-008-0315-y

Modeling wing crack extension: Implications for the ingredients of discrete element model

Yucang Wang^*, Peter Mora

^*Corresponding author for this work

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

56 Scopus citations

Abstract

In this study, we investigate what basic mechanisms a Discrete Element Model should have in order to reproduce the realistic wing crack extension, a widely observed phenomenon in uni-axial compression of brittle material with pre-existed crack. Using our Discrete Element Model - the Lattice Solid Model, we study how cracks propagate when different force-displacement laws are emplyed. Our results suggest that the basic features of crack propagation observed in laboratories cannot be reproduced under the following circumstances: 1) When only normal forces between two bonded particles exist and particle rotation is prohibited; 2) normal and shear stiffnesses are present and particle rotation is prohibited; 3) normal, shear stiffnesses and particle rotation are present and bending (rolling) stiffness is absent. Only when normal, shear and bending stiffness exist and particle rotation is permitted, is it possible to reproduce laboratory tests. We conclude that particle rotations and rolling resistance play a significant role and cannot be neglected while modeling such phenomenon. The effects of friction in the crack plane and confining pressure on extension of the cracks are also discussed.

Original language	English
Pages (from-to)	609-620
Number of pages	12
Journal	Pure and Applied Geophysics
Volume	165
Issue number	3-4
DOIs	https://doi.org/10.1007/s00024-008-0315-y
State	Published - Apr 2008
Externally published	Yes

Bibliographical note

Funding Information:
Funding support is gratefully acknowledged by the Australian Computational Earth Systems Simulator Major National Research Facility, The University of Queensland and SGI. The ACcESS MNRF is funded by the Australian Commonwealth Government and participating institutions (Univ. of Queensland, Monash U, Melbourne U., VPAC, RMIT) and the Victorian State Government. Computations were made using the ACcESS MNRF supercomputer – a 208 processor 1.1 TFlops SGI Altix 3700 – which was funded by the Queensland State Government Smart State Research Facility Fund and SGI. OpenDX is used to visualize the results in this paper. The first author would like to thank Dr. Fernando Alonso-Marroquin and Dr. Louise Kettle for their valuable suggestions to the manuscript.

Keywords

Discrete element method
The lattice solid model
Wing crack

ASJC Scopus subject areas

Geophysics
Geochemistry and Petrology

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10.1007/s00024-008-0315-y

Cite this

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title = "Modeling wing crack extension: Implications for the ingredients of discrete element model",

abstract = "In this study, we investigate what basic mechanisms a Discrete Element Model should have in order to reproduce the realistic wing crack extension, a widely observed phenomenon in uni-axial compression of brittle material with pre-existed crack. Using our Discrete Element Model - the Lattice Solid Model, we study how cracks propagate when different force-displacement laws are emplyed. Our results suggest that the basic features of crack propagation observed in laboratories cannot be reproduced under the following circumstances: 1) When only normal forces between two bonded particles exist and particle rotation is prohibited; 2) normal and shear stiffnesses are present and particle rotation is prohibited; 3) normal, shear stiffnesses and particle rotation are present and bending (rolling) stiffness is absent. Only when normal, shear and bending stiffness exist and particle rotation is permitted, is it possible to reproduce laboratory tests. We conclude that particle rotations and rolling resistance play a significant role and cannot be neglected while modeling such phenomenon. The effects of friction in the crack plane and confining pressure on extension of the cracks are also discussed.",

keywords = "Discrete element method, The lattice solid model, Wing crack",

author = "Yucang Wang and Peter Mora",

note = "Funding Information: Funding support is gratefully acknowledged by the Australian Computational Earth Systems Simulator Major National Research Facility, The University of Queensland and SGI. The ACcESS MNRF is funded by the Australian Commonwealth Government and participating institutions (Univ. of Queensland, Monash U, Melbourne U., VPAC, RMIT) and the Victorian State Government. Computations were made using the ACcESS MNRF supercomputer – a 208 processor 1.1 TFlops SGI Altix 3700 – which was funded by the Queensland State Government Smart State Research Facility Fund and SGI. OpenDX is used to visualize the results in this paper. The first author would like to thank Dr. Fernando Alonso-Marroquin and Dr. Louise Kettle for their valuable suggestions to the manuscript.",

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N2 - In this study, we investigate what basic mechanisms a Discrete Element Model should have in order to reproduce the realistic wing crack extension, a widely observed phenomenon in uni-axial compression of brittle material with pre-existed crack. Using our Discrete Element Model - the Lattice Solid Model, we study how cracks propagate when different force-displacement laws are emplyed. Our results suggest that the basic features of crack propagation observed in laboratories cannot be reproduced under the following circumstances: 1) When only normal forces between two bonded particles exist and particle rotation is prohibited; 2) normal and shear stiffnesses are present and particle rotation is prohibited; 3) normal, shear stiffnesses and particle rotation are present and bending (rolling) stiffness is absent. Only when normal, shear and bending stiffness exist and particle rotation is permitted, is it possible to reproduce laboratory tests. We conclude that particle rotations and rolling resistance play a significant role and cannot be neglected while modeling such phenomenon. The effects of friction in the crack plane and confining pressure on extension of the cracks are also discussed.

AB - In this study, we investigate what basic mechanisms a Discrete Element Model should have in order to reproduce the realistic wing crack extension, a widely observed phenomenon in uni-axial compression of brittle material with pre-existed crack. Using our Discrete Element Model - the Lattice Solid Model, we study how cracks propagate when different force-displacement laws are emplyed. Our results suggest that the basic features of crack propagation observed in laboratories cannot be reproduced under the following circumstances: 1) When only normal forces between two bonded particles exist and particle rotation is prohibited; 2) normal and shear stiffnesses are present and particle rotation is prohibited; 3) normal, shear stiffnesses and particle rotation are present and bending (rolling) stiffness is absent. Only when normal, shear and bending stiffness exist and particle rotation is permitted, is it possible to reproduce laboratory tests. We conclude that particle rotations and rolling resistance play a significant role and cannot be neglected while modeling such phenomenon. The effects of friction in the crack plane and confining pressure on extension of the cracks are also discussed.

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ER -

Modeling wing crack extension: Implications for the ingredients of discrete element model

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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