A minimally-intrusive fully 3D separated plate formulation in computational structural mechanics
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This paper proposes an efficient integration of fully 3D descriptions into existing plate software to capture rich 3D behaviors while keeping the computational complexity the one of 2D simulations.Abstract:
Most of mechanical systems and complex structures exhibit plate and shell components. Therefore, 2D simulation, based on plate and shell theory, appears as an appealing choice in structural analysis as it allows reducing the computational complexity. Nevertheless, this 2D framework fails for capturing rich physics compromising the usual hypotheses considered when deriving standard plate and shell theories. To circumvent, or at least alleviate this issue, authors proposed in their former works an in-plane–out-of-plane separated representation able to capture rich 3D behaviors while keeping the computational complexity the one of 2D simulations. In the present paper we propose an efficient integration of fully 3D descriptions into existing plate software.read more
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Proper Generalized Decomposition for Parametric Study and Material Distribution Design of Multi-Directional Functionally Graded Plates Based on 3D Elasticity Solution.
TL;DR: In this paper, the Proper Generalized Decomposition (PGD) technique is adopted to solve the 3D elasticity problems in a high-dimensional parametric space, which is an a priori model order reduction technique that reduces the solution of 3D partial differential equations into a set of 1D ordinary differential equations.
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Spurious-free interpolations for non-intrusive PGD-based parametric solutions: Application to composites forming processes
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