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Open AccessArticle

Non-Intrusive In-Plane-Out-of-Plane Separated Representation in 3D Parametric Elastodynamics

1
Instituto Tecnologico de Santo Domingo (INTEC), Av. Los Proceres, Jardines del Norte, Santo Domingo 10602, Dominican Republic
2
ESI GROUP, 3bis rue Saarinen, 50468 Rungis, France
3
PIMM Lab & ESI Group Chair, Arts et Metiers Institute of Technology, 151 Boulevard de Hopital, F-75013 Paris, France
*
Author to whom correspondence should be addressed.
Computation 2020, 8(3), 78; https://doi.org/10.3390/computation8030078
Received: 1 August 2020 / Revised: 29 August 2020 / Accepted: 5 September 2020 / Published: 9 September 2020
(This article belongs to the Section Computational Engineering)
Mesh-based solution of 3D models defined in plate or shell domains remains a challenging issue nowadays due to the fact that the needed meshes generally involve too many degrees of freedom. When the considered problem involves some parameters aiming at computing its parametric solution the difficulty is twofold. The authors proposed, in some of their former works, strategies for solving both, however they suffer from a deep intrusiveness. This paper proposes a totally novel approach that from any existing discretization is able to reduce the 3D parametric complexity to the one characteristic of a simple 2D calculation. Thus, the 3D complexity is reduced to 2D, the parameters included naturally into the solution, and the procedure applied on a discretization performed with a standard software, which taken together enable real-time engineering. View Full-Text
Keywords: dynamics; non-intrusive PGD; in-plane-out-of-plane separated representation; parametric dynamics dynamics; non-intrusive PGD; in-plane-out-of-plane separated representation; parametric dynamics
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MDPI and ACS Style

Germoso, C.; Quaranta, G.; Duval, J.L.; Chinesta, F. Non-Intrusive In-Plane-Out-of-Plane Separated Representation in 3D Parametric Elastodynamics. Computation 2020, 8, 78.

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