A new hybrid explicit/implicit in-plane-out-of-plane separated representation for the solution of dynamic problems defined in plate-like domains. (November 2018)

• Record Type: Journal Article
• Authors: Quaranta, G.; Bognet, B.; Ibañez, R.; Tramecon, A.; Haug, E.; Chinesta, F.
• Is Part Of: Computers & structures. Volume 210(2018)
• Page Start: 135
• Page End: 144
• Publication Date: 2018-11
• Subjects: Dynamics -- Implicit -- Explicit -- Hybrid time discretization -- Plates -- Laminates -- PGD -- Separated representation; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2018.05.001
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: In-plane-out-of-plane separated representations are extended to dynamics. We propose an hybrid implicit (thickness)/explicit (in plane) time integration. Explicit 2D plate and shell are enriched (3D) without impacting stability. Abstract: The present paper extends in-plane-out-of-plane separated representations successfully used for addressing fully 3D model solutions defined in plate-like domain, to dynamics. Common time integration are performed using explicit or implicit strategies. Even if the implementation of implicit integration schemes into a 3D in-plane-out-of-plane separated representation does not imply major difficulties, the use of explicit integration preferable in many applications becomes a tricky issue. In fact the mesh employed for discretizing the out-of-plane dimension (thickness) determines the maximum time-step ensuring stability. In this paper we introduce a new efficient hybrid explicit/implicit in-plane-out-of-plane separated representation for dynamic problems defined in plate-like domains that allows computing 3D solutions with the stability constraint exclusively determined by the coarser in-plane discretization.