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

Claudia Germoso (1) , Giacomo Quaranta (2) , Jean Louis Duval (2) , Francisco Chinesta (3, 2)

1 INTEC [República Dominicana] - Instituto Tecnológico de Santo Domingo
2 ESI Group - ESI Group
3 PIMM - Laboratoire Procédés et Ingénierie en Mécanique et Matériaux

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.

Mots clés: dynamics; non-intrusive PGD; in-plane-out-of-plane separated representation; parametric dynamics

Domaines: Matériaux

Claudia Germoso, Giacomo Quaranta, Jean Louis Duval, Francisco Chinesta. Non-Intrusive In-Plane-Out-of-Plane Separated Representation in 3D Parametric Elastodynamics. Computation, 2020, 8 (3), pp.1-15. ⟨10.3390/computation8030078⟩. ⟨hal-02958659⟩