On numerical solution of elastic–plastic problems by using configurational force driven adaptive methods

Hénap, Gábor; Szabó, Loránd

doi:10.1016/j.finel.2014.08.002

Cited by 4 publications

(1 citation statement)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Splitting elements with a h-type method generally leads to non-conformities. These methods have been also combined to increase their efficiency: hp-method [2,4] or hr-method [14,15] among others. A convenient mesh refinement method has both to keep good element shape quality in order to avoid inaccurate numerical predictions due to elongated/flat/degenerated elements and to lead to conformal refined meshes as required by FEM.…”

Section: Introductionmentioning

confidence: 99%

Local adaptive refinement method applied to solid mechanics

Daridon¹,

Delaume²,

Monerie³

et al. 2020

ACM

View full text Add to dashboard Cite

A good spatial discretization is of prime interest in the accuracy of the Finite Element Method. This paper presents a new refinement criterion dedicated to an h-type refinement method called Conforming Hierarchical Adaptive Refinement MethodS (CHARMS) and applied to solid mechanics. This method produces conformally refined meshes and deals with refinement from a basis function point of view. The proposed refinement criterion allow adaptive refinement where the mesh is still too coarse and where a strain or a stress field has a large value or a large gradient. The sensitivity of the criterion to the value or to the gradient ca be adjusted. The method and the criteria are validated through 2-D test cases. One limitation of the h-adaptive refinement method is highlighted: the discretization of boundary curves.

show abstract