The role of rigidity in controlling material failure

Michelle M. Driscoll; Bryan Gin Ge Chen; Thomas H. Beuman; Stephan Ulrich; Sidney R. Nagel; Vincenzo Vitelli

doi:10.1073/pnas.1501169113

The role of rigidity in controlling material failure

Michelle M. Driscoll, Bryan Gin Ge Chen, Thomas H. Beuman, Stephan Ulrich, Sidney R. Nagel, Vincenzo Vitelli^*

^*Corresponding author for this work

Physics and Astronomy

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

42 Scopus citations

Abstract

We investigate how material rigidity acts as a key control parameter for the failure of solids under stress. In both experiments and simulations, we demonstrate that material failure can be continuously tuned by varying the underlying rigidity of the material while holding the amount of disorder constant. As the rigidity transition is approached, failure due to the application of uniaxial stress evolves from brittle cracking to system-spanning diffuse breaking. This evolution in failure behavior can be parameterized by the width of the crack. As a system becomes more and more floppy, this crack width increases until it saturates at the system size. Thus, the spatial extent of the failure zone can be used as a direct probe for material rigidity.

Original language	English (US)
Pages (from-to)	10813-10817
Number of pages	5
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	113
Issue number	39
DOIs	https://doi.org/10.1073/pnas.1501169113
State	Published - Sep 27 2016

Keywords

Cracks
Failure
Glasses
Jamming
Metamaterials

ASJC Scopus subject areas

General

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10.1073/pnas.1501169113

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title = "The role of rigidity in controlling material failure",

abstract = "We investigate how material rigidity acts as a key control parameter for the failure of solids under stress. In both experiments and simulations, we demonstrate that material failure can be continuously tuned by varying the underlying rigidity of the material while holding the amount of disorder constant. As the rigidity transition is approached, failure due to the application of uniaxial stress evolves from brittle cracking to system-spanning diffuse breaking. This evolution in failure behavior can be parameterized by the width of the crack. As a system becomes more and more floppy, this crack width increases until it saturates at the system size. Thus, the spatial extent of the failure zone can be used as a direct probe for material rigidity.",

keywords = "Cracks, Failure, Glasses, Jamming, Metamaterials",

author = "Driscoll, {Michelle M.} and Chen, {Bryan Gin Ge} and Beuman, {Thomas H.} and Stephan Ulrich and Nagel, {Sidney R.} and Vincenzo Vitelli",

note = "Funding Information: We acknowledge inspiring interactions with L. Mahadevan and Nitin Upadhyaya in the initial stages of this project. We thank Carl Goodrich, Andrea Liu, Michael Marder, and Jim Sethna for many fruitful discussions. Use of facilities at the University of Chicago National Science Foundation (NSF) Materials Research Science and Engineering Center are gratefully acknowledged. The work of M.M.D. and S.R.N. was supported by NSF Grant DMR-1404841. B.G.-g.C., T.H.B., and S.U. thank the Foundation for Fundamental Research on Matter and Netherlands Organisation for Scientific Research for financial support.",

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AU - Chen, Bryan Gin Ge

AU - Beuman, Thomas H.

AU - Ulrich, Stephan

AU - Nagel, Sidney R.

AU - Vitelli, Vincenzo

N1 - Funding Information: We acknowledge inspiring interactions with L. Mahadevan and Nitin Upadhyaya in the initial stages of this project. We thank Carl Goodrich, Andrea Liu, Michael Marder, and Jim Sethna for many fruitful discussions. Use of facilities at the University of Chicago National Science Foundation (NSF) Materials Research Science and Engineering Center are gratefully acknowledged. The work of M.M.D. and S.R.N. was supported by NSF Grant DMR-1404841. B.G.-g.C., T.H.B., and S.U. thank the Foundation for Fundamental Research on Matter and Netherlands Organisation for Scientific Research for financial support.

PY - 2016/9/27

Y1 - 2016/9/27

N2 - We investigate how material rigidity acts as a key control parameter for the failure of solids under stress. In both experiments and simulations, we demonstrate that material failure can be continuously tuned by varying the underlying rigidity of the material while holding the amount of disorder constant. As the rigidity transition is approached, failure due to the application of uniaxial stress evolves from brittle cracking to system-spanning diffuse breaking. This evolution in failure behavior can be parameterized by the width of the crack. As a system becomes more and more floppy, this crack width increases until it saturates at the system size. Thus, the spatial extent of the failure zone can be used as a direct probe for material rigidity.

AB - We investigate how material rigidity acts as a key control parameter for the failure of solids under stress. In both experiments and simulations, we demonstrate that material failure can be continuously tuned by varying the underlying rigidity of the material while holding the amount of disorder constant. As the rigidity transition is approached, failure due to the application of uniaxial stress evolves from brittle cracking to system-spanning diffuse breaking. This evolution in failure behavior can be parameterized by the width of the crack. As a system becomes more and more floppy, this crack width increases until it saturates at the system size. Thus, the spatial extent of the failure zone can be used as a direct probe for material rigidity.

KW - Cracks

KW - Failure

KW - Glasses

KW - Jamming

KW - Metamaterials

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The role of rigidity in controlling material failure

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Keywords

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