A locking-free and optimally convergent discontinuous-Galerkin-based extended finite element method for cracked nearly incompressible solids
We introduce an optimally convergent and locking-free XFEM for nearly incompressible solids. It possesses an error bound that does not diverge as Poissons ratio approaches 0.5. The method is formulated through the introduction of a lifting operator (LO). LO maps jumps into spaces enriched with the singular behavior of the solution.
extended finite element method nearly incompressible lifting operator discontinuous galerkin fracture locking