A Cosserat Model of Elastic Solids Reinforced by a Family of Curved and Twisted Fibers
Abstract
:1. Introduction
2. Kirchhoff Rods
2.1. Kinematics
2.2. Strain-Energy Function
2.3. Equilibrium Theory
3. Cosserat Elasticity of Fiber-Reinforced Materials
3.1. Kinematical and Constitutive Variables in Cosserat Elasticity
3.2. Virtual Power and Equilibrium
3.3. Fiber-Matrix Interaction
4. Material Symmetry
4.1. Change of Reference Configuration
4.2. Material Symmetry Transformations
5. Examples
5.1. Matrix Energy
5.2. Fiber Symmetry
5.2.1. Transversely Hemitropic Fibers
5.2.2. Transversely Orthotropic Fibers
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Appendix A
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Shirani, M.; Steigmann, D.J. A Cosserat Model of Elastic Solids Reinforced by a Family of Curved and Twisted Fibers. Symmetry 2020, 12, 1133. https://doi.org/10.3390/sym12071133
Shirani M, Steigmann DJ. A Cosserat Model of Elastic Solids Reinforced by a Family of Curved and Twisted Fibers. Symmetry. 2020; 12(7):1133. https://doi.org/10.3390/sym12071133
Chicago/Turabian StyleShirani, Milad, and David J. Steigmann. 2020. "A Cosserat Model of Elastic Solids Reinforced by a Family of Curved and Twisted Fibers" Symmetry 12, no. 7: 1133. https://doi.org/10.3390/sym12071133