Modeling of viscoelastic sandwich beams using solid-shell finite elements

Fessal Kpeky (1) , Hakim Boudaoud (1) , Farid Abed-Meraim (1, 2) , El Mostafa Daya (1, 2)

1 LEM3 - Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux
2 Labex DAMAS

The aim of this work is to propose vibration modeling of sandwich structures with soft core using solid-shell finite elements. Several approaches have been adopted in the literature to accurately model this type of structures; however, they show some limitations in certain configurations of high contrast of material properties or geometric aspect ratios between the different layers. In such situations, it is generally well-known that the use of higher-order or three-dimensional finite elements is more appropriate, but will generate a large number of degrees of freedom and, thereby, large CPU times. In this work, an alternative method is proposed by considering a recently developed linear hexahedral solid-shell element. This solid-shell element is implemented into Matlab in order to use the so-called solver Diamant, which couples Asymptotic Numerical Method (ANM) and Automatic Differentiation (AD). Numerical tests, including various cantilever sandwich beams as well as a simplified pattern of rail on sleepers, are performed to show the efficiency of the proposed approach.

Mots clés: Computational modeling; Finite element analysis; Sandwich structures; Solid-shell; Vibration

Domaines: Génie des procédés; Matériaux; Mécanique [physics.med-ph]; Génie mécanique [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]; Mécanique des matériaux [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des structures [physics.class-ph]; Vibrations [physics.class-ph]

Fessal Kpeky, Hakim Boudaoud, Farid Abed-Meraim, El Mostafa Daya. Modeling of viscoelastic sandwich beams using solid-shell finite elements. Composite Structures, 2015, 133, pp.105-116. ⟨10.1016/j.compstruct.2015.07.055⟩. ⟨hal-01207115⟩