An unstructured immersed finite element method for nonlinear solid mechanics

Ru¨berg, Thomas ; Cirak, Fehmi ; García Aznar, José Manuel (Universidad de Zaragoza)

Resumen: We present an immersed finite element technique for boundary-value and interface problems from nonlinear solid mechanics. Its key features are the implicit representation of domain boundaries and interfaces, the use of Nitsche’s method for the incorporation of boundary conditions, accurate numerical integration based on marching tetrahedrons and cut-element stabilisation by means of extrapolation. For discretisation structured and unstructured background meshes with Lagrange basis functions are considered. We show numerically and analytically that the introduced cut-element stabilisation technique provides an effective bound on the size of the Nitsche parameters and, in turn, leads to well-conditioned system matrices. In addition, we introduce a novel approach for representing and analysing geometries with sharp features (edges and corners) using an implicit geometry representation. This allows the computation of typical engineering parts composed of solid primitives without the need of boundary-fitted meshes.

Idioma: Inglés

DOI: 10.1186/s40323-016-0077-5

Año: 2016

Publicado en: Advanced modeling and simulation in engineering sciences 3, 22 (2016), [28 pp.]
ISSN: 2213-7467

Factor impacto SCIMAGO: 0.0 - Applied Mathematics - Modeling and Simulation - Engineering (miscellaneous) - Computer Science Applications

Financiación: info:eu-repo/grantAgreement/EUR/FP7/ERC2012-StG-306751
Financiación: info:eu-repo/grantAgreement/ES/MINECO/DPI2015-64221-C2-1-R

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Mec.Med.Cont. y Teor.Est. (Dpto. Ingeniería Mecánica)