Modeling of variable angle tow composites using a variable separation method based on a unified formulation
Abstract
In this article, we are interested in the modeling of variable stiffness plate structures through a variable separation approach. The displacement field is approximated as a sum of separated functions of the in-plane coordinates , and the transverse coordinate . A non-linear problem is derived. It can be solved using an iterative process involving 2D and 1D linear problems successively. To keep the separability feature ensuring a computational efficiency, the so-called Carrera’s Unified Formulation (CUF) is adapted to our framework. Classical Finite Element method is used. In the thickness direction, a fourth-order expansion in each layer is considered. The number of unknowns is reduced compared to classical LayerWise (LW) approach. Test cases encountered in the literature are provided to assess the present LW method and compare the results with reference solutions. Laminated and sandwich structures with different slenderness ratios and variations of angle tows are addressed. Very satisfactory results with a low computational cost are obtained.
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BibTeX
@article{vidal2026modeling,
title = {{Modeling of variable angle tow composites using a variable separation method based on a unified formulation}},
author = {Philippe Vidal and G. Giunta and D.A. Iannotta and L. Gallimard and O. Polit},
journal = {Composite Structures},
year = {2026},
month = nov,
doi = {10.1016/j.compstruct.2025.118963},
url = {https://hal.parisnanterre.fr/hal-05848215v1},
note = {CC BY},
}
RIS
TY - JOUR
TI - Modeling of variable angle tow composites using a variable separation method based on a unified formulation
AU - Philippe Vidal
AU - G. Giunta
AU - D.A. Iannotta
AU - L. Gallimard
AU - O. Polit
PY - 2026
DA - 2026/11/02
JO - Composite Structures
DO - 10.1016/j.compstruct.2025.118963
UR - https://hal.parisnanterre.fr/hal-05848215v1
AB - In this article, we are interested in the modeling of variable stiffness plate structures through a variable separation approach. The displacement field is approximated as a sum of separated functions of the in-plane coordinates , and the transverse coordinate . A non-linear problem is derived. It can be solved using an iterative process involving 2D and 1D linear problems successively. To keep the separability feature ensuring a computational efficiency, the so-called Carrera’s Unified Formulation (CUF) is adapted to our framework. Classical Finite Element method is used. In the thickness direction, a fourth-order expansion in each layer is considered. The number of unknowns is reduced compared to classical LayerWise (LW) approach. Test cases encountered in the literature are provided to assess the present LW method and compare the results with reference solutions. Laminated and sandwich structures with different slenderness ratios and variations of angle tows are addressed. Very satisfactory results with a low computational cost are obtained.
SN - 0263-8223
ER -