Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 362, Issue -, Pages -Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2020.112845
Keywords
Second gradient elasticity; Woven fabrics; Isogeometric analysis
Funding
- Deutsche Forschungsgemeinschaft (DFG), Germany [HE5943/8-1]
- DFG, Germany [DI2306/1-1]
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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. (C) 2020 Elsevier B.V. All rights reserved.
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