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Determination of the Elastic Behaviour of Hybrid‐yarn Reinforced Elastomers using Twisted‐periodic Boundary Conditions
Author(s) -
Storm Johannes,
Kaliske Michael
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710203
Subject(s) - hyperelastic material , stiffness , materials science , elastomer , yarn , bending stiffness , periodic boundary conditions , composite material , deformation (meteorology) , bending , boundary value problem , anisotropy , structural engineering , finite element method , mathematics , engineering , mathematical analysis , physics , quantum mechanics
Reinforcements of elastomers using hybrid‐yarns allow to take advantage of the bi‐modular stiffness behaviour of those yarns. The initial deformation behaviour is characterised by low stiffness and the potential for finite deformations. Reaching a certain limit of hybrid‐yarn stretch, the mechanical behaviour changes towards larger stiffness and only allows for small further deformations. In comparison to other yarn reinforcements with finite deformations, the achieved material strength is relatively high. The bending behaviour of the involved yarns is approximated using anisotropic hyperelastic material laws. The efficiency of the applied computational homogenisation method is significantly improved by introducing twisted‐periodic boundary conditions. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)