Studied X-FEM enrichment to handle material interfaces with higher order finite element - Archive ouverte HAL Access content directly
Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 2010

Studied X-FEM enrichment to handle material interfaces with higher order finite element

Abstract

An approach to improve the geometrical representation of surfaces with the eXtended Finite Element Method is proposed. Surfaces are implicitly represented using the level set method. The finite element approximation is enriched by additional functions through the notion of partition of unity, to track material interfaces. Optimal rate of convergence is achieved with curved geometries, using linear elements and linear level set in elements. In order to accelerate the convergence, the order of approximation shape functions is increased, while keeping the same computational mesh. The level set is represented on a finer sub-mesh than the finite element mesh. A special attention to integration procedure is necessary. A new enrichment function is introduced to represent the behavior of curved material interfaces. Numerical examples including free surfaces and material interfaces in 2-D linear elasticity are presented to study convergence rates.
Fichier principal
Vignette du fichier
KDNC.pdf (1.81 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01007338 , version 1 (25-01-2018)

Identifiers

Cite

Kristell Dréau, Nicolas Chevaugeon, Nicolas Moës. Studied X-FEM enrichment to handle material interfaces with higher order finite element. Computer Methods in Applied Mechanics and Engineering, 2010, 199 (29-32), pp.1922-1936. ⟨10.1016/j.cma.2010.01.021⟩. ⟨hal-01007338⟩
149 View
219 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More