Abstract
The well-known finite element representation of reinforcing bars by means of overlay (“rebar”) elements is recast in the context of finite strain analyses of cord-reinforced composite materials. The variational formulation including the linearized forms is presented on the basis of hyperelasticity. Three material laws including two variants of the Neo-Hooekean model and the quadratic logarithmic model are investigated. An explicit formulation for uniaxial stress states is given for the Neo-Hooekean model. A comparative evaluation with regards to computational efficiency and physical plausibility shows that the logarithmic model is optimally suited for this class of problems and for moderately large strains. The rebar-element concept in conjunction with an incompressible finite element formulation for the representation of a rubber matrix material is applied to comparative finite strain FE-analyses of a cord-reinforced rubber sandwich panel, with different hyperelastic models used for modelling of the ply material.
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Communicated by H. A. Mang, June 28, 1993
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Meschke, G., Helnwein, P. Large-strain 3D-analysis of fibre-reinforced composites using rebar elements: hyperelastic formulations for cords. Computational Mechanics 13, 241–254 (1994). https://doi.org/10.1007/BF00350227
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DOI: https://doi.org/10.1007/BF00350227