Behavior of laminated shell composite with imperfect contact between the layers

David Guinovart-Sanjuán (1) , Raffaella Rizzoni (2) , Reinaldo Rodríguez-Ramos (3) , Raúl Guinovart-Díaz (3) , Julian Bravo-Castillero (3) , Ransés Alfonso-Rodríguez (1) , Frédéric Lebon (4) , Serge Dumont (5, 6, 7) , Igor Sevostianov (8) , Federico Sabina (9)

1 UCF - University of Central Florida [Orlando]
2 Dipartimento di Ingegneria
3 Universidad de La Habana [Cuba]
4 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
5 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352
6 IMAG - Institut Montpelliérain Alexander Grothendieck
7 UNIMES - Université de Nîmes
8 Department of Mechanical and Aerospace Engineering
9 UNAM - Universidad Nacional Autónoma de México = National Autonomous University of Mexico

The paper focuses on the calculation of the effective elastic properties of a laminated composite shell with imperfect contact between the layers. To achieve this goal, first the two-scale asymptotic homogenization method (AHM) is applied to derive the solutions for the local problems and to obtain the effective elastic properties of a two-layer spherical shell with imperfect contact between the layers. The results are compared with the numerical solution obtained by finite elements method (FEM). The limit case of a laminate shell composite with perfect contact at the interface is recovered. Second, the elastic properties of a spherical heterogeneous structure with isotropic periodic microstructure and imperfect contact is analyzed with the spherical assemblage model (SAM). The homogenized equilibrium equation for a spherical composite is solved using AHM and the results are compared with the exact analytical solution obtained with SAM.

Mots clés: Effective elastic properties; Spherical shell laminated; Composite; Asymptotic homogenization; Spherical assemblage model

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

David Guinovart-Sanjuán, Raffaella Rizzoni, Reinaldo Rodríguez-Ramos, Raúl Guinovart-Díaz, Julian Bravo-Castillero, et al.. Behavior of laminated shell composite with imperfect contact between the layers. Composite Structures, 2017, 176, pp.539-546. ⟨10.1016/j.compstruct.2017.05.058⟩. ⟨hal-01694039⟩