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Title: Hyperelastic phase-field fracture mechanics modeling of the toughening induced by Bouligand structures in natural materials

Abstract

Bouligand structures are widely observed in natural materials; elasmoid fish scales and the exoskeleton of arthropods, such as lobsters, crabs, mantis shrimp and insects, are prime examples. In fish scales, such as those of the Arapaima gigas, the tough inner core beneath the harder surface of the scale displays a Bouligand structure comprising a layered arrangement of collagen fibrils with an orthogonal or twisted staircase (or plywood) architecture. A much rarer variation of this structure, the double-twisted Bouligand structure, has been discovered in the primitive elasmoid scales of the coelacanth fish; this architecture is quite distinct from “modern” elasmoid fish scales yet provides extraordinary resistance to deformation and fracture. Here we examine the toughening mechanisms created by the double-twisted Bouligand structure in comparison to those generated by the more common single Bouligand structures. Specifically, we have developed an orientation-dependent, hyperelastic, phase-field fracture mechanics method to computationally examine the relative fracture toughness of elasmoid fish scales comprising single vs. double-twisted Bouligand structures of fibrils. The model demonstrates the critical role played by the extra inter-bundle fibrils found in coelacanth fish scales in enhancing the toughness of Bouligand-type structures. Synthesis and fracture tests of 3-D printed Bouligand-type materials are presented to supportmore » the modeling and complement our understanding of the fracture mechanisms in Bouligand-type structures.« less

Authors:
 [1];  [2];  [3];  [1];  [4];  [5]
+ Show Author Affiliations
  1. Univ. of California, Berkeley, CA (United States). Dept. of Materials Science and Engineering
  2. Univ. of California, San Diego, CA (United States). Materials Science and Engineering Program
  3. Univ. of California, Berkeley, CA (United States). Dept. of Mechanical Engineering
  4. Univ. of California, San Diego, CA (United States). Materials Science and Engineering Program; Univ. of California, San Diego, CA (United States). Dept. of NanoEngineering
  5. Univ. of California, Berkeley, CA (United States). Dept. of Materials Science and Engineering; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Science Div.
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); US Air Force Office of Scientific Research (AFOSR)
OSTI Identifier:
1559248
Grant/Contract Number:  
AC02-05CH11231; AFOSR-FA9550-15-1-0009
Resource Type:
Accepted Manuscript
Journal Name:
Journal of the Mechanics and Physics of Solids
Additional Journal Information:
Journal Volume: 131; Journal Issue: C; Journal ID: ISSN 0022-5096
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
60 APPLIED LIFE SCIENCES; 59 BASIC BIOLOGICAL SCIENCES; Bouligand structure; phase-field fracture mechanics; toughening mechanisms; fish scales; 3-D printing

Citation Formats

Yin, Sheng, Yang, Wen, Kwon, Junpyo, Wat, Amy, Meyers, Marc A., and Ritchie, Robert O. Hyperelastic phase-field fracture mechanics modeling of the toughening induced by Bouligand structures in natural materials. United States: N. p., 2019. Web. doi:10.1016/j.jmps.2019.07.001.
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Yin, Sheng, Yang, Wen, Kwon, Junpyo, Wat, Amy, Meyers, Marc A., & Ritchie, Robert O. Hyperelastic phase-field fracture mechanics modeling of the toughening induced by Bouligand structures in natural materials. United States. https://doi.org/10.1016/j.jmps.2019.07.001
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Yin, Sheng, Yang, Wen, Kwon, Junpyo, Wat, Amy, Meyers, Marc A., and Ritchie, Robert O. Tue . "Hyperelastic phase-field fracture mechanics modeling of the toughening induced by Bouligand structures in natural materials". United States. https://doi.org/10.1016/j.jmps.2019.07.001. https://www.osti.gov/servlets/purl/1559248.
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@article{osti_1559248,
title = {Hyperelastic phase-field fracture mechanics modeling of the toughening induced by Bouligand structures in natural materials},
author = {Yin, Sheng and Yang, Wen and Kwon, Junpyo and Wat, Amy and Meyers, Marc A. and Ritchie, Robert O.},
abstractNote = {Bouligand structures are widely observed in natural materials; elasmoid fish scales and the exoskeleton of arthropods, such as lobsters, crabs, mantis shrimp and insects, are prime examples. In fish scales, such as those of the Arapaima gigas, the tough inner core beneath the harder surface of the scale displays a Bouligand structure comprising a layered arrangement of collagen fibrils with an orthogonal or twisted staircase (or plywood) architecture. A much rarer variation of this structure, the double-twisted Bouligand structure, has been discovered in the primitive elasmoid scales of the coelacanth fish; this architecture is quite distinct from “modern” elasmoid fish scales yet provides extraordinary resistance to deformation and fracture. Here we examine the toughening mechanisms created by the double-twisted Bouligand structure in comparison to those generated by the more common single Bouligand structures. Specifically, we have developed an orientation-dependent, hyperelastic, phase-field fracture mechanics method to computationally examine the relative fracture toughness of elasmoid fish scales comprising single vs. double-twisted Bouligand structures of fibrils. The model demonstrates the critical role played by the extra inter-bundle fibrils found in coelacanth fish scales in enhancing the toughness of Bouligand-type structures. Synthesis and fracture tests of 3-D printed Bouligand-type materials are presented to support the modeling and complement our understanding of the fracture mechanisms in Bouligand-type structures.},
doi = {10.1016/j.jmps.2019.07.001},
journal = {Journal of the Mechanics and Physics of Solids},
number = C,
volume = 131,
place = {United States},
year = {Tue Jul 02 00:00:00 EDT 2019},
month = {Tue Jul 02 00:00:00 EDT 2019}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.jmps.2019.07.001
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Cited by: 37 works
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Figures / Tables:

Figure 1 Figure 1: Examples of biological connected units in natural scales. (a) Boxfish skin with juxtaposed scutes connected by the Sharpey's fibers (collagen fibers). (b) Armadillo osteoderm with juxtaposed plates connected by keratin. (c) Alligator gar overlapping (ganoid) scales with small degree of imbrication. (d) Coelacanth fish overlapping elasmoid scales withmore » large degree of imbrication.« less
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    Nested helicoids in biological microstructures
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