Micro–macro constitutive modeling and finite element analytical-based formulations for fibrous materials
A multiscale structural approach for crimped fibers
- verfasst von
- Michele Marino, Peter Wriggers
- Abstract
Materials with crimped fibers have special properties that can be effectively explored only when using a micro–macro perspective. In this framework, a novel constitutive model based on a multiscale structural rationale is introduced. Material micromechanics, depending on fiber straightening mechanisms, is described introducing a beam model which drives material model response. This rationale leads to a quasi-analytical formulation, coupling the advantages of purely-analytical and computational approaches. The proposed model is also proven to be polyconvex. Furthermore, a finite-element formulation is developed, enriched by a quasi-analytical core associated with the multiscale constitutive formulation. Different solution strategies are tested in order to optimize the numerical performances in terms of accuracy, robustness and cost. Moreover, a mixed finite element formulation based on a simplified-kinematics-for-anisotropy (SKA) is introduced. For the tested boundary value problems, the SKA-element is an optimal choice in terms of displacement and fiber stress convergence behavior, especially for coarse meshes.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
- Typ
- Artikel
- Journal
- Computer Methods in Applied Mechanics and Engineering
- Band
- 344
- Seiten
- 938-969
- Anzahl der Seiten
- 32
- ISSN
- 0045-7825
- Publikationsdatum
- 01.02.2019
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Numerische Mechanik, Werkstoffmechanik, Maschinenbau, Allgemeine Physik und Astronomie, Angewandte Informatik
- Elektronische Version(en)
-
https://doi.org/10.1016/j.cma.2018.10.016 (Zugang:
Geschlossen)
