Notch Fracture Toughness of Glasses: Dependence on Rate, Age, and Geometry
Abstract
Understanding the fracture toughness (resistance) of glasses is a fundamental problem of prime theoretical and practical importance. Here we theoretically study its dependence on the loading rate, the age (history) of the glass, and the notch radius ρ. Reduced-dimensionality analysis suggests that the notch fracture toughness results from a competition between the initial, age- and history-dependent, plastic relaxation time scale τ$$ ^{pl}_0 $$ and an effective loading time scale τext($$ \dot{K} $$I,ρ), where KI is the tensile stress-intensity-factor rate. The toughness is predicted to scale with ρ independently of ξ≡τext/τ$$ ^{pl}_0 $$ for ξ «1, to scale as T$$ \sqrt{ρ} $$log(ξ) for ξ«1 (related to thermal activation, where T is the temperature), and to feature a nonmonotonic behavior in the crossover region ξ~O(1) (related to plastic yielding dynamics). These predictions are verified using 2D computations, providing a unified picture of the notch fracture toughness of glasses. Here, the theory highlights the importance of time-scale competition and far-from-steady-state elasto-viscoplastic dynamics for understanding the toughness and shows that the latter varies quite significantly with the glass age (history) and applied loading rate. Experimental support for bulk metallic glasses is presented, and possible implications for applications are discussed.
- Authors:
-
- Weizmann Institute of Science, Rehovot (Israel)
- Harvard Univ., Cambridge, MA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1525167
- Alternate Identifier(s):
- OSTI ID: 1290312
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Applied
- Additional Journal Information:
- Journal Volume: 6; Journal Issue: 2; Journal ID: ISSN 2331-7019
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Vasoya, Manish, Rycroft, Chris H., and Bouchbinder, Eran. Notch Fracture Toughness of Glasses: Dependence on Rate, Age, and Geometry. United States: N. p., 2016.
Web. doi:10.1103/PhysRevApplied.6.024008.
Vasoya, Manish, Rycroft, Chris H., & Bouchbinder, Eran. Notch Fracture Toughness of Glasses: Dependence on Rate, Age, and Geometry. United States. https://doi.org/10.1103/PhysRevApplied.6.024008
Vasoya, Manish, Rycroft, Chris H., and Bouchbinder, Eran. Thu .
"Notch Fracture Toughness of Glasses: Dependence on Rate, Age, and Geometry". United States. https://doi.org/10.1103/PhysRevApplied.6.024008. https://www.osti.gov/servlets/purl/1525167.
@article{osti_1525167,
title = {Notch Fracture Toughness of Glasses: Dependence on Rate, Age, and Geometry},
author = {Vasoya, Manish and Rycroft, Chris H. and Bouchbinder, Eran},
abstractNote = {Understanding the fracture toughness (resistance) of glasses is a fundamental problem of prime theoretical and practical importance. Here we theoretically study its dependence on the loading rate, the age (history) of the glass, and the notch radius ρ. Reduced-dimensionality analysis suggests that the notch fracture toughness results from a competition between the initial, age- and history-dependent, plastic relaxation time scale τ$ ^{pl}_0 $ and an effective loading time scale τext($ \dot{K} $I,ρ), where KI is the tensile stress-intensity-factor rate. The toughness is predicted to scale with ρ independently of ξ≡τext/τ$ ^{pl}_0 $ for ξ «1, to scale as T$ \sqrt{ρ} $log(ξ) for ξ«1 (related to thermal activation, where T is the temperature), and to feature a nonmonotonic behavior in the crossover region ξ~O(1) (related to plastic yielding dynamics). These predictions are verified using 2D computations, providing a unified picture of the notch fracture toughness of glasses. Here, the theory highlights the importance of time-scale competition and far-from-steady-state elasto-viscoplastic dynamics for understanding the toughness and shows that the latter varies quite significantly with the glass age (history) and applied loading rate. Experimental support for bulk metallic glasses is presented, and possible implications for applications are discussed.},
doi = {10.1103/PhysRevApplied.6.024008},
journal = {Physical Review Applied},
number = 2,
volume = 6,
place = {United States},
year = {Thu Aug 11 00:00:00 EDT 2016},
month = {Thu Aug 11 00:00:00 EDT 2016}
}
Web of Science
Figures / Tables:
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Figures / Tables found in this record: