Crimped fiber composites: mechanics of a finite-length crimped fiber embedded in a soft matrix.

Autor: Pitre NN; Department of Bioengineering, University of Pittsburgh, Pittsburgh, PA, 15261, USA., Moses JB; Department of Surgery, University of Pittsburgh, Pittsburgh, PA, 15261, USA., Tzeng E; Department of Surgery, University of Pittsburgh, Pittsburgh, PA, 15261, USA., Abramowitch S; Department of Bioengineering, University of Pittsburgh, Pittsburgh, PA, 15261, USA., Velankar SS; Department of Bioengineering, University of Pittsburgh, Pittsburgh, PA, 15261, USA. velankar@pitt.edu.; Department of Chemical Engineering, University of Pittsburgh, Pittsburgh, PA, 15261, USA. velankar@pitt.edu.; Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, PA, 15261, USA. velankar@pitt.edu.; McGowan Institute of Regenerative Medicine, University of Pittsburgh, Pittsburgh, PA, 15261, USA. velankar@pitt.edu.
Jazyk: angličtina
Zdroj: Biomechanics and modeling in mechanobiology [Biomech Model Mechanobiol] 2023 Jun; Vol. 22 (3), pp. 1083-1094. Date of Electronic Publication: 2023 Mar 02.
DOI: 10.1007/s10237-023-01702-9
Abstrakt: Composites comprising crimped fibers of finite length embedded in a soft matrix have the potential to mimic the strain-hardening behavior of tissues containing fibrous collagen. Unlike continuous fiber composites, such chopped fiber composites would be flow-processable. Here, we study the fundamental mechanics of stress transfer between a single crimped fiber and the embedding matrix subjected to tensile strain. Finite element simulations show that fibers with large crimp amplitude and large relative modulus straighten significantly at small strain without bearing significant load. At large strain, they become taut and hence bear increasing load. Analogous to straight fiber composites, there is a region near the ends of each fiber which bears much lower stress than the midsection. We show that the stress-transfer mechanics can be captured by a shear lag model where the crimped fiber can be replaced with an equivalent straight fiber whose effective modulus is lower than that of the crimped fiber, but increases with applied strain. This allows estimating the modulus of a composite at low fiber fraction. The degree of strain hardening and the strain needed for strain hardening can be tuned by changing relative modulus of the fibers and the crimp geometry.
(© 2023. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.)
Databáze: MEDLINE
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