TY - JOUR
T1 - Multi-phonon scattering processes in one-dimensional anharmonic biological superlattices
T2 - Understanding the dissipation of mechanical waves in mineralized tissues
AU - Guerder, Pierre Yves
AU - Deymier-Black, Alix C.
AU - Swinteck, Nichlas Z.
AU - Vasseur, Jér Ôme O.
AU - Bou-Matar, Olivier
AU - Muralidharan, Krishna
AU - Deymier, Pierre A.
N1 - Funding Information:
We acknowledge partial support from the Centre National de la Recherche Scientifique (CNRS) through Laboratoire International Associé (LIA) “MATEO” between the University of Arizona and the Institut d’Electronique, de Microélectronique et de Nanotechnologie.
PY - 2014/9
Y1 - 2014/9
N2 - The scattering of elastic waves in a one dimensional phononic (PnC) crystal composed of alternate collagen and hydroxy-apatite constituent layers is studied. These superlattices are metaphors for mineralized tissues present in bones and teeth. The collagen is treated as an open system elastic medium with water content which can vary depending on the level of stress applied. The open system nature of the collagen-water system leads to a non-linear stress-strain response. The finite difference time domain method is employed to investigate the propagation of non-linear mechanical waves through the superlattice. The spectral energy density method enables the calculation of the non-linear vibrational wave band structure. The non-linearity in the mechanical response of the collagen-water system enables a variety of multi-phonon scattering processes resulting in an increase in the number of channels for the dissipation of elastic waves and therefore for the dissipation of mechanical energy. These results provide an explanation for the relationship between bone fragility and decreased hydration.
AB - The scattering of elastic waves in a one dimensional phononic (PnC) crystal composed of alternate collagen and hydroxy-apatite constituent layers is studied. These superlattices are metaphors for mineralized tissues present in bones and teeth. The collagen is treated as an open system elastic medium with water content which can vary depending on the level of stress applied. The open system nature of the collagen-water system leads to a non-linear stress-strain response. The finite difference time domain method is employed to investigate the propagation of non-linear mechanical waves through the superlattice. The spectral energy density method enables the calculation of the non-linear vibrational wave band structure. The non-linearity in the mechanical response of the collagen-water system enables a variety of multi-phonon scattering processes resulting in an increase in the number of channels for the dissipation of elastic waves and therefore for the dissipation of mechanical energy. These results provide an explanation for the relationship between bone fragility and decreased hydration.
KW - Biological mineralized tissue
KW - Mechanical energy dissipation
KW - Multiphonon scattering Hydroxyapatite/collagen
KW - Superlattice
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U2 - 10.1016/j.jmbbm.2014.05.001
DO - 10.1016/j.jmbbm.2014.05.001
M3 - Article
C2 - 24878965
AN - SCOPUS:84901416746
SN - 1751-6161
VL - 37
SP - 24
EP - 32
JO - Journal of the Mechanical Behavior of Biomedical Materials
JF - Journal of the Mechanical Behavior of Biomedical Materials
ER -