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Isogeometric analysis of fiber reinforced composites using Kirchhoff-Love shell elements

Abstract : A second gradient theory for woven fabrics is applied to Kirchhoff–Love shell elements to analyze the mechanics of fiber reinforced composite materials. In particular, we assume a continuous distribution of the fibers embedded into the shell surface, accounting for additional in-plane flexural resistances within the hyperelastic regime. For the finite element discretization we apply isogeometric methods, i.e. we make use of B-splines as basis functions omitting the usage of mixed approaches. The higher gradient formulation of the fabric is verified by a series of numerical examples, followed by suitable validation steps using experimental measurements on organic sheets. A final example using a non-flat reference geometry demonstrates the capabilities of the presented formulation.
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Submitted on : Thursday, August 13, 2020 - 3:05:46 PM
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  • HAL Id : hal-02915060, version 1

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J. Schulte, M. Dittmann, S. R. Eugster, S. Hesch, T. Reinicke, et al.. Isogeometric analysis of fiber reinforced composites using Kirchhoff-Love shell elements. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2020, 362, pp.112845. ⟨hal-02915060⟩

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