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

J. Schulte (1) , M. Dittmann (1) , S. R. Eugster (2) , S. Hesch (3) , T. Reinicke (3) , F. Dell'Isola (4) , C. Hesch (1)

1 Chair of Computational Mechanics, University of Siegen, Siegen, Germany
2 Universität Stuttgart [Stuttgart]
3 Chair of Product Development, University of Siegen, Siegen, Germany
4 UNIROMA - Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome]

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.

Mots clés: Second gradient elasticity; Woven fabrics; Isogeometric analysis

Domaines: Mécanique des matériaux [physics.class-ph]

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, 2020, 362, pp.112845. ⟨hal-02915060⟩