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Computational Mechanics

Erschienen in:

10.06.2021 | Original Paper

Scale-bridging with the extended/generalized finite element method for linear elastodynamics

verfasst von: Rudy Geelen, Julia Plews, John Dolbow

Erschienen in: Computational Mechanics | Ausgabe 2/2021

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Abstract

This paper presents an extended/generalized finite element method for bridging scales in linear elastodynamics in the absence of scale separation. More precisely, the GFEM^gl framework is expanded to enable the numerical solution of multiscale problems through the automated construction of specially-tailored shape functions, thereby enabling high-fidelity finite element modeling on simple, fixed finite element meshes. This introduces time-dependencies in the shape functions in that they are subject to continuous adaptation with time. The temporal aspects of the formulation are investigated by considering the Newmark-\(\beta \) time integration scheme, and the efficacy of mass lumping strategies is explored in an explicit time-stepping scheme. This method is demonstrated on representative wave propagation examples as well as a dynamic fracture problem to assess its accuracy and flexibility.

Vorheriger Artikel Multi-resolution methods for the topology optimization of nonlinear electro-active polymers at large strains

Nächster Artikel A variational phase-field model For ductile fracture with coalescence dissipation

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Titel: Scale-bridging with the extended/generalized finite element method for linear elastodynamics
verfasst von: Rudy Geelen
Julia Plews
John Dolbow
Publikationsdatum: 10.06.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Computational Mechanics / Ausgabe 2/2021
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI: https://doi.org/10.1007/s00466-021-02032-2

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