2.11 XFEM elements

XFEM elements allow simulations where the unknown fields are enriched through the partition of unity concept. Two elements are currently available for 2D XFEM simulations: TrPlaneStress2dXFEM (subclass of TrPlaneStress2d) and PlaneStress2dXfem (subclass of PlaneStress2d).

2.11.1 TrPlaneStress2dXFEM element




Keyword

TrPlaneStress2dXFEM

Description

Two dimensional 3-node triangular XFEM element

Specific parameters

[czmaterial #(in)] [nipcz #(in)][useplanestrain #(in)]



Parameters

czmaterial: Interface material for the cohesive zone. (If no material is specified, traction free crack surfaces are assumed.)

nipcz: Number of integration points used on each segment of the cohesive zone.

useplanestrain: If plane strain or plane stress should be assumed. 0 implies plane stress and 1 implies plane strain.

Unknowns

Two continuous (standard) DOFs (u-displacement, v-displacement) and a variable number of enriched DOFs (can be continuous or discontinuous).

Approximation

-

Integration

Elements cut by an XFEM interface are divided into subtriangles.

Features

-

CS properties

-

Loads

-

Nlgeo

-

Status

-

Note

Test case: sm/xFemCrackVal.in




Table 44: TrPlaneStress2dXFEM element summary

2.11.2 PlaneStress2dXfem element




Keyword

PlaneStress2dXfem

Description

Two dimensional 4-node quad XFEM element

Specific parameters

[czmaterial #(in)] [nipcz #(in)][useplanestrain #(in)]



Parameters

czmaterial: Interface material for the cohesive zone. (If no material is specified, traction free crack surfaces are assumed.)

nipcz: Number of integration points used on each segment of the cohesive zone.

useplanestrain: If plane strain or plane stress should be assumed. 0 implies plane stress and 1 implies plane strain.

Unknowns

Two continuous (standard) DOFs (u-displacement, v-displacement) and a variable number of enriched DOFs (can be continuous or discontinuous).

Approximation

-

Integration

Elements cut by an XFEM interface are divided into subtriangles.

Features

-

CS properties

-

Loads

-

Nlgeo

-

Status

-

Note

Test cases: sm/xFemCrackValBranch.in, sm/xfemCohesiveZone1.in, benchmark/xfem01.in




Table 45: PlaneStress2dXfem element summary