Robust layerwise C 0 finite element approach based on a variable separation method for the modeling of composite and sandwich plates
| Autor: | Olivier Polit, Philippe Vidal, Laurent Gallimard |
|---|---|
| Přispěvatelé: | Laboratoire Energétique Mécanique Electromagnétisme (LEME), Université Paris Nanterre (UPN) |
| Rok vydání: | 2018 |
| Předmět: |
Layerwise approach
Separation of variables Mesh distortion 02 engineering and technology Shear locking 01 natural sciences [SPI]Engineering Sciences [physics] 0203 mechanical engineering Composite plate Robustness (computer science) 0101 mathematics ComputingMilieux_MISCELLANEOUS Field compatibility approach Mathematics Iterative and incremental development business.industry Applied Mathematics Mathematical analysis General Engineering Structural engineering Computer Graphics and Computer-Aided Design Finite element method 010101 applied mathematics Transverse plane 020303 mechanical engineering & transports Shear (geology) Displacement field business Analysis |
| Zdroj: | Finite Elements in Analysis and Design Finite Elements in Analysis and Design, Elsevier, 2018, 139, pp.1-13. ⟨10.1016/j.finel.2017.10.001⟩ Finite Elements in Analysis and Design, 2018, 139, pp.1-13. ⟨10.1016/j.finel.2017.10.001⟩ |
| ISSN: | 0168-874X |
| DOI: | 10.1016/j.finel.2017.10.001 |
| Popis: | This paper deals with a new approach using both the variable separation and a robust C0 eight-node finite element for the modeling of composite plates. The displacement field is approximated as a sum of separated functions of the in-plane coordinates x, y and the transverse coordinate z. This choice yields to an iterative process that consists of solving a 2D and 1D problem successively at each iteration. In the thickness direction, a fourth-order expansion in each layer is considered. For the in-plane description, the main novelty consists in the formulation of a field compatible approximation for the transverse shear strain field, referred to as the CL8 interpolation. This latter has to be adapted to the particular framework of the separated representation. It allows us to eliminate the shear locking pathology by constraining only the z−constant transverse shear strain terms. Numerical assessments show the absence of locking problems as well as the enhanced robustness with respect to distorted element shapes in comparison to classical isoparametric approaches. This new CL8 plate element provides excellent convergence rates under different boundary and loading conditions, and it yields accurate displacements and stresses for both thick and thin composite and sandwich plates. |
| Databáze: | OpenAIRE |
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