Julio at 14:53, 13 June 2024

2024-06-13T14:53:50Z

Julio: Julio moved page Draft Garcia-Espinosa 604359790 to Giuliodori et al 2023a

2024-06-13T14:49:08Z

Julio moved page Draft Garcia-Espinosa 604359790 to Giuliodori et al 2023a

Julio: Created page with " == Abstract == This work aims at deriving special types of one-dimensional Finite Elements (1D FE) for efficiently modeling heterogeneous prismatic structures, in the small..."

2024-06-13T14:49:06Z

Created page with " == Abstract == This work aims at deriving special types of one-dimensional Finite Elements (1D FE) for efficiently modeling heterogeneous prismatic structures, in the small..."

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== Abstract ==

This work aims at deriving special types of one-dimensional Finite Elements (1D FE) for efficiently modeling heterogeneous prismatic structures, in the small strains regime, by means of reduced-order modeling (ROM) and domain decomposition techniques. The employed partitioning framework introduces “fictitious” interfaces between contiguous subdomains, leading to a formulation with both subdomain and interface fields. We propose a low-dimensional parameterization at both subdomain and interface levels by using reduced-order bases precomputed in an offline stage by applying the Singular Value Decomposition (SVD) on solution snapshots. In this parameterization, the amplitude of the fictitious interfaces play the role of coarse-scale displacement unknowns. We demonstrate that, with this partitioned framework, it is possible to arrive at a solution strategy that avoids solving the typical nested local/global problem of other similar methods (such as the FE2method). Rather, in our approach, the coarse-grid cells can be regarded as special types of finite elements, whose nodes coincides with the centroids of the interfaces, and whose kinematics are dictated by the modes of the “fictitious” interfaces. This means that the kinematics of our coarse-scale FE are not pre-defined by the user, but extracted from the set of “training” computational experiments. Likewise, we demonstrate that the coarse-scale and fine-scale displacements are related by inter-scale operators that can be precomputed in the offline stage. Lastly, a hyperreduced scheme is considered for the evaluation of the internal forces, allowing us to deal with possible material nonlinearities.

== Full document ==
<pdf>Media:Draft_Garcia-Espinosa_604359790-9209-document.pdf</pdf>

← Older revision		Revision as of 14:53, 13 June 2024
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	== Full document ==		== Full document ==
		+	This is a copy of an article published in Computer Methods in Applied Mechanics and Engineering, also available at https://doi.org/10.1016/j.cma.2023.115913.
		+
	<pdf>Media:Draft_Garcia-Espinosa_604359790-9209-document.pdf</pdf>		<pdf>Media:Draft_Garcia-Espinosa_604359790-9209-document.pdf</pdf>

← Older revision	Revision as of 14:49, 13 June 2024
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Giuliodori et al 2023a - Revision history

Julio at 14:53, 13 June 2024

Julio: Julio moved page Draft Garcia-Espinosa 604359790 to Giuliodori et al 2023a

Julio: Created page with " == Abstract == This work aims at deriving special types of one-dimensional Finite Elements (1D FE) for efficiently modeling heterogeneous prismatic structures, in the small..."