TY - JOUR
T1 - Mechanical model for staggered bio-structure
AU - Bar-On, Benny
AU - Wagner, H. Daniel
N1 - Funding Information:
We acknowledge support from the Israel Science Foundation (Grant no. 1509/10 ) and from the G. M. J. Schmidt Minerva Centre of Supramolecular Architectures . This research was made possible in part by the generosity of the Harold Perlman family. We are grateful to Dr. Eran Bouchbinder for insightful discussions. H.D. Wagner is the recipient of the Livio Norzi Professorial Chair.
PY - 2011/9/1
Y1 - 2011/9/1
N2 - A generic mechanical model for bio-composites, including stiff platelets arranged in a staggered order inside a homogeneous soft matrix, is proposed. Equations are formulated in terms of displacements and are characterized by a set of non-dimensional parameters. The displacements, stress fields and effective modulus of the composite are formulated. Two analytical models are proposed, one which includes the shear deformations along the entire medium and another simplified model, which is applicable to a slender geometry and yields a compact expression for the effective modulus. The results from the models are validated by numerical finite element simulations and found to be compatible with each other for a wide range of geometrical and material properties. Finally, the models are solved for two bio-structures, nacre and a collagen fibril, and their solutions are discussed.
AB - A generic mechanical model for bio-composites, including stiff platelets arranged in a staggered order inside a homogeneous soft matrix, is proposed. Equations are formulated in terms of displacements and are characterized by a set of non-dimensional parameters. The displacements, stress fields and effective modulus of the composite are formulated. Two analytical models are proposed, one which includes the shear deformations along the entire medium and another simplified model, which is applicable to a slender geometry and yields a compact expression for the effective modulus. The results from the models are validated by numerical finite element simulations and found to be compatible with each other for a wide range of geometrical and material properties. Finally, the models are solved for two bio-structures, nacre and a collagen fibril, and their solutions are discussed.
KW - Biological composite
KW - Micro-mechanical model
KW - Staggered platelet array
UR - http://www.scopus.com/inward/record.url?scp=80051797781&partnerID=8YFLogxK
U2 - 10.1016/j.jmps.2011.06.005
DO - 10.1016/j.jmps.2011.06.005
M3 - Article
AN - SCOPUS:80051797781
SN - 0022-5096
VL - 59
SP - 1685
EP - 1701
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 9
ER -