TY - JOUR
T1 - Dynamic fiber reorientation in a fiber-reinforced hyperelastic material
AU - Melnik, Andrey V.
AU - Goriely, Alain
N1 - KAUST Repository Item: Exported on 2021-09-21
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This publication is based on work supported by King Abdullah University of Science and Technology (award number KUK-C1-013-04). AG is a Wolfson Royal Society Merit Holder and acknowledges support from a Reintegration Grant under EC Framework VII.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2013
Y1 - 2013
N2 - Fiber alignment in biological tissues is created and maintained by the cells, which respond to mechanical stimuli arising from properties of the surrounding material. This coupling between mechanical anisotropy and tissue remodeling can be modeled in nonlinear elasticity by a fiber-reinforced hyperelastic material where remodeling is represented as the change in fiber orientation. Here, we study analytically a simple model of fiber reorientation in a rectangular elastic tissue reinforced by two symmetrically arranged families of fibers subject to constant external loads. In this model, the fiber direction tends to align with the maximum principal stretch. We characterize the global behaviour of the system for all material parameters and applied loads, and show that provided the fibers are tensile initially, the system converges to a stable equilibrium, which corresponds to either complete or intermediate fiber alignment.
AB - Fiber alignment in biological tissues is created and maintained by the cells, which respond to mechanical stimuli arising from properties of the surrounding material. This coupling between mechanical anisotropy and tissue remodeling can be modeled in nonlinear elasticity by a fiber-reinforced hyperelastic material where remodeling is represented as the change in fiber orientation. Here, we study analytically a simple model of fiber reorientation in a rectangular elastic tissue reinforced by two symmetrically arranged families of fibers subject to constant external loads. In this model, the fiber direction tends to align with the maximum principal stretch. We characterize the global behaviour of the system for all material parameters and applied loads, and show that provided the fibers are tensile initially, the system converges to a stable equilibrium, which corresponds to either complete or intermediate fiber alignment.
UR - http://hdl.handle.net/10754/671338
UR - http://journals.sagepub.com/doi/10.1177/1081286513485773
UR - http://www.scopus.com/inward/record.url?scp=84882310425&partnerID=8YFLogxK
U2 - 10.1177/1081286513485773
DO - 10.1177/1081286513485773
M3 - Article
SN - 1081-2865
VL - 18
SP - 634
EP - 648
JO - Mathematics and Mechanics of Solids
JF - Mathematics and Mechanics of Solids
IS - 6
ER -