Carregant...
Carregant...

Vés al contingut (premeu Retorn)

A locking-free and optimally convergent discontinuous-Galerkin-based extended finite element method for cracked nearly incompressible solids

Autor
Shen, Y.; Lew, A.
Tipus d'activitat
Article en revista
Revista
Computer methods in applied mechanics and engineering
Data de publicació
2014-05-01
Volum
273
Pàgina inicial
119
Pàgina final
142
DOI
https://doi.org/10.1016/j.cma.2014.01.017 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0045782514000309 Obrir en finestra nova
Resum
The extended finite element method (XFEM) is an efficient way to include discontinuities, such as a crack, into a finite element mesh. The singularity at the crack tip restricts standard finite element methods to converge with a rate of at most 1/2 for the stresses, and I for the displacements, with respect to the mesh size. This is true for cracks in incompressible materials as well, when any of the standard techniques to sidestep locking is adopted. To attain an optimal convergence rate of 1 f...
Paraules clau
APPROXIMATION, Discontinuous Galerkin, ELASTICITY PROBLEMS, ELLIPTIC PROBLEMS, Extended finite element method, FRACTURE, Fracture, Lifting operator, Locking, Nearly incompressible, X-FEM
Grup de recerca
LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria

Participants

  • Shen, Yongxing  (autor)
  • Lew, Adrian J.  (autor)