Equivalent mechanical properties of textile monolayers from discrete asymptotic homogenization
| Autor: | Jean-François Ganghoffer, Mohamed Assidi, Ibrahim Goda |
|---|---|
| Přispěvatelé: | Laboratoire Énergies et Mécanique Théorique et Appliquée (LEMTA ), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Fayoum University, Centre de Recherche Public Henri-Tudor [Luxembourg] (CRP Henri-Tudor) |
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Materials science
Mechanical Engineering Truss 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics Textile monolayers Homogenization (chemistry) Finite element method [SPI]Engineering Sciences [physics] 020303 mechanical engineering & transports 0203 mechanical engineering Flexural strength Mechanics of Materials Woven fabric Plain weave Composite material 0210 nano-technology Anisotropy Asymptotic homogenization |
| Zdroj: | Journal of the Mechanics and Physics of Solids Journal of the Mechanics and Physics of Solids, Elsevier, 2013, 61 (12), pp.2537-2565. ⟨10.1016/j.jmps.2013.07.014⟩ |
| ISSN: | 0022-5096 |
| Popis: | International audience; The determination of the effective mechanical moduli of textiles from mechanical measurements is usually difficult due to their discrete architecture, which makes micromechanical analyses a relevant alternative to access those properties. Micropolar continuum models describing the effective mechanical behavior of woven fabric monolayers are constructed from the homogenization of an identified repetitive pattern of the textile within a representative unit cell. The interwoven yarns within the textile are represented as a network of trusses connected by nodes at their crossover points. These trusses have extensional and bending rigidities to allow for yarn stretching and flexion, and a transverse shear deformation is additionally considered. Interactions between yarns at the crossover points are captured by beam segments connecting the nodes. The woven fabric is modeled after homogenization as an anisotropic planar continuum with two preferred material directions in the mean plane of the textile. Based on the developed methodology, the effective mechanical properties of plain weave and twill are evaluated, including their bending moduli and characteristic flexural lengths. A satisfactory agreement is obtained between the effective moduli obtained by homogenization and numerical values obtained by finite element simulations performed over periodic unit cells. |
| Databáze: | OpenAIRE |
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