Scale-bridging with the extended/generalized finite element method for linear elastodynamics
Journal Article (Journal Article)
This paper presents an extended/generalized finite element method for bridging scales in linear elastodynamics in the absence of scale separation. More precisely, the GFEMgl 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-β 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.
Full Text
Duke Authors
Cited Authors
- Geelen, R; Plews, J; Dolbow, J
Published Date
- August 1, 2021
Published In
Volume / Issue
- 68 / 2
Start / End Page
- 295 - 310
Electronic International Standard Serial Number (EISSN)
- 1432-0924
International Standard Serial Number (ISSN)
- 0178-7675
Digital Object Identifier (DOI)
- 10.1007/s00466-021-02032-2
Citation Source
- Scopus