To be or not to be quadratic (with X-Fem)

Nunziante Valoroso (1) , Alexandre Martin (2)

1 PARTHENOPE - Università degli Studi di Napoli “Parthenope” = University of Naples
2 IMSIA - UMR 9219 - Institut des Sciences de la mécanique et Applications industrielles

A novel implementation of the eXtended Finite Element Method that makes use of quadratic elements is discussed. The present formulation is shown to behave fairly better compared to usual quadratic elements enriched with Heaviside functions in that both the number of unknowns and the condition number of element matrices considerably decrease with respect to a classical second order scheme. A representative example demonstrates the capabilities of the proposed approach.

Mots clés: Fracture; X-Fem; quadratic elements

Domaines: Mécanique des structures [physics.class-ph]

Nunziante Valoroso, Alexandre Martin. To be or not to be quadratic (with X-Fem). 13e colloque national en calcul des structures, Université Paris-Saclay, May 2017, Giens, Var, France. ⟨hal-01923676⟩