Details
| Original language | English |
|---|---|
| Pages (from-to) | 429-453 |
| Number of pages | 25 |
| Journal | Journal of the Mechanics and Physics of Solids |
| Volume | 98 |
| Publication status | Published - 9 Jun 2016 |
Abstract
Composite materials reinforced by crimped fibers intervene in a number of advanced structural applications. Accordingly, constitutive equations describing their anisotropic behavior and explicitly accounting for fiber properties are needed for modeling and design purposes. To this aim, the finite strain response of crimped beams under uniaxial traction is herein addressed by obtaining analytical relationships based on the Principle of Virtual Works. The model is applied to collagen fibers in soft biological tissues, coupling geometric nonlinearities related to fiber crimp with material nonlinearities due to nanoscale mechanisms. Several numerical applications are presented, addressing the influence of geometric and material features. Available experimental data for tendons are reproduced, integrating the proposed approach within an optimization procedure for data fitting. The obtained results highlight the effectiveness of the proposed approach in correlating fibers structure with composite material mechanics.
Keywords
- Crimped fibers, Multiscale homogenization, Soft connective tissues, Structure-mechanics relationship, Undulated yarn
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: Journal of the Mechanics and Physics of Solids, Vol. 98, 09.06.2016, p. 429-453.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Finite strain response of crimped fibers under uniaxial traction
T2 - An analytical approach applied to collagen
AU - Marino, Michele
AU - Wriggers, Peter
N1 - Funding information: A postdoctoral fellowship from the Alexander von Humboldt Foundation for M. Marino is gratefully acknowledged. The authors kindly acknowledge Giuseppe Vairo for fruitful discussions on the paper.
PY - 2016/6/9
Y1 - 2016/6/9
N2 - Composite materials reinforced by crimped fibers intervene in a number of advanced structural applications. Accordingly, constitutive equations describing their anisotropic behavior and explicitly accounting for fiber properties are needed for modeling and design purposes. To this aim, the finite strain response of crimped beams under uniaxial traction is herein addressed by obtaining analytical relationships based on the Principle of Virtual Works. The model is applied to collagen fibers in soft biological tissues, coupling geometric nonlinearities related to fiber crimp with material nonlinearities due to nanoscale mechanisms. Several numerical applications are presented, addressing the influence of geometric and material features. Available experimental data for tendons are reproduced, integrating the proposed approach within an optimization procedure for data fitting. The obtained results highlight the effectiveness of the proposed approach in correlating fibers structure with composite material mechanics.
AB - Composite materials reinforced by crimped fibers intervene in a number of advanced structural applications. Accordingly, constitutive equations describing their anisotropic behavior and explicitly accounting for fiber properties are needed for modeling and design purposes. To this aim, the finite strain response of crimped beams under uniaxial traction is herein addressed by obtaining analytical relationships based on the Principle of Virtual Works. The model is applied to collagen fibers in soft biological tissues, coupling geometric nonlinearities related to fiber crimp with material nonlinearities due to nanoscale mechanisms. Several numerical applications are presented, addressing the influence of geometric and material features. Available experimental data for tendons are reproduced, integrating the proposed approach within an optimization procedure for data fitting. The obtained results highlight the effectiveness of the proposed approach in correlating fibers structure with composite material mechanics.
KW - Crimped fibers
KW - Multiscale homogenization
KW - Soft connective tissues
KW - Structure-mechanics relationship
KW - Undulated yarn
UR - http://www.scopus.com/inward/record.url?scp=85001889621&partnerID=8YFLogxK
U2 - 10.1016/j.jmps.2016.05.010
DO - 10.1016/j.jmps.2016.05.010
M3 - Article
AN - SCOPUS:85001889621
VL - 98
SP - 429
EP - 453
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
SN - 0022-5096
ER -