Homogenisation by cylindrical RVEs with twisted-periodic boundary conditions for hybrid-yarn reinforced elastomers

作者: J. Storm , T. Götze , R. Hickmann , C. Cherif , S. Wießner

DOI: 10.1016/J.IJSOLSTR.2018.02.006

关键词:

摘要: Abstract A novel homogenisation method for heterogeneous structures containing a twist symmetry by means of RVEs with twisted-periodic boundary conditions is introduced. The considers finite deformations and applied to hybrid-yarn reinforced elastomers in order compute the macroscopic elastic behaviour failure surface. excellent numerical efficiency parallelisability are shown comparison two classical methods.  The yarn modelled modified approach Criscione et al. (2001) terms an alternative set physically based strain invariants. Its definition preserves advantages invariants while allowing straight forward derivation stress material tangent within framework element method.

参考文章(19)
R. Fleischhauer, A. Qinami, R. Hickmann, O. Diestel, T. Götze, C. Cherif, G. Heinrich, M. Kaliske, A thermomechanical interface description and its application to yarn pullout tests International Journal of Solids and Structures. pp. 531- 543 ,(2015) , 10.1016/J.IJSOLSTR.2015.04.030
J. Z. Zhu, O. C. Zienkiewicz, R. L. Taylor, The Finite Element Method: Its Basis and Fundamentals ,(2005)
A. Charmetant, E. Vidal-Sallé, P. Boisse, Hyperelastic modelling for mesoscopic analyses of composite reinforcements Composites Science and Technology. ,vol. 71, pp. 1623- 1631 ,(2011) , 10.1016/J.COMPSCITECH.2011.07.004
M. H. B. M. Shariff, Nonlinear transversely isotropic elastic solids: an alternative representation Quarterly Journal of Mechanics and Applied Mathematics. ,vol. 61, pp. 129- 149 ,(2008) , 10.1093/QJMAM/HBM028
M. B. Rubin, M. Jabareen, Further Developments of Physically Based Invariants for Nonlinear Elastic Orthotropic Solids Journal of Elasticity. ,vol. 103, pp. 289- 294 ,(2011) , 10.1007/S10659-010-9276-3
X. Q. Peng, Z. Y. Guo, Zia-Ur-Rehman, P. Harrison, A Simple Anisotropic Fiber Reinforced Hyperelastic Constitutive Model for Woven Composite Fabrics International Journal of Material Forming. ,vol. 3, pp. 723- 726 ,(2010) , 10.1007/S12289-010-0872-3
John C. Criscione, Andrew S. Douglas, William C. Hunter, Physically based strain invariant set for materials exhibiting transversely isotropic behavior Journal of The Mechanics and Physics of Solids. ,vol. 49, pp. 871- 897 ,(2001) , 10.1016/S0022-5096(00)00047-8
Zaoyang Guo, Xiongqi Peng, Brian Moran, Large deformation response of a hyperelastic fibre reinforced composite: Theoretical model and numerical validation Composites Part A-applied Science and Manufacturing. ,vol. 38, pp. 1842- 1851 ,(2007) , 10.1016/J.COMPOSITESA.2007.04.004
M. Kaliske, A formulation of elasticity and viscoelasticity for fibre reinforced material at small and finite strains Computer Methods in Applied Mechanics and Engineering. ,vol. 185, pp. 225- 243 ,(2000) , 10.1016/S0045-7825(99)00261-3