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Staggered fibrils and damageable interfaces lead concurrently and independently to hysteretic energy absorption and inhomogeneous strain fields in cyclically loaded antler bone Paolino De Falco, Ettore Barbieri, Nicola M. Pugno, and Himadri S. Gupta ACS Biomater. Sci. Eng., Just Accepted Manuscript • DOI: 10.1021/acsbiomaterials.6b00637 • Publication Date (Web): 19 Dec 2016 Downloaded from http://pubs.acs.org on December 19, 2016
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ACS Biomaterials Science & Engineering
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Staggered fibrils and damageable interfaces lead concurrently and
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independently to hysteretic energy absorption and inhomogeneous
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strain fields in cyclically loaded antler bone a
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a
P. De Falco , E. Barbieri , N. Pugno
a,b,c
a*
and H. S. Gupta
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a
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b
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Mechanical Engineering, University of Trento, Trento, Italy
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c
Center for Materials and Microsystems, Fondazione Bruno Kessler, Povo (Trento), Italy
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*
Corresponding author: Himadri S. Gupta (
[email protected])
Queen Mary University of London, School of Engineering and Material Science, London, E1 4NS, UK
Laboratory of Bio-Inspired and Graphene Nanomechanics, Department of Civil, Environmental and
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Keywords
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Antler bone, interface, nanoscale, cohesive behaviors, heterogeneity, hysteresis
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Abstract
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The high toughness and work to fracture of hierarchical composites, like antler bone, involve structural
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mechanisms at the molecular, nano- and micro scales, which are not completely explored. A key
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characteristic of the high energy absorption of such materials is the large hysteresis during cyclic loading, but
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its origin remains unknown. In situ synchrotron X-ray diffraction tests during tensile loading of antler bone
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showed heterogeneous fibrillar deformation and hysteresis. To explain the origin of these mechanisms from
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the nanostructure of antler bone, here we develop a class of finite-element fibril models whose predictions
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are compared to experimental data across a range of potential composite architectures. We demonstrate
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that the key structural motif enabling a match to experimental data is an axially staggered arrangement of
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stiff mineralized collagen fibrils coupled with weak, damageable interfibrillar interfaces.
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1 INTRODUCTION
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Natural structural materials exhibit mechanical properties through complex hierarchical
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architectures and load-absorbing mechanisms. These architectures evolved naturally from
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basic building blocks thanks to a ‘self-organization’ strategy during growth1. In fact,
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biological structures adapt, change function during growth, renew their material and build
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hierarchies2. The macroscopic behaviour of these materials depends on the interaction 1 ACS Paragon Plus Environment
ACS Biomaterials Science & Engineering
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between structural properties at different scales3. Bio-composites, such as bone, shells
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and nacre, represent an excellent example of how the design at lower hierarchical scales
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confers higher mechanical properties than the single constituents4. Although the stiffness
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of these biocomposites is comparable to that of the basic constituent at the nanoscale,
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their toughness results hugely increased. For instance, in bone and shell, the toughness of
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the mineral constituents is
