2. Modeling A#

It is a question of comparing, based on a 3D mesh, the enriched models produced by the allocation of models: MECANIQUE /3D, MECANIQUE /3D/ CONTACT, THERMIQUE /3D, MECANIQUE /3D_HM, MECANIQUE /3D_HM, /3D_HM/ CONTACT.

With X- FEM, THERMIQUE /3D modeling is only available for linear elements, and MECANIQUE /3D_HM modeling with quadratic elements.

We therefore compare the enriched models produced by the assignment of the models:

  • MECANIQUE /3D, MECANIQUE /3D/ CONTACT and THERMIQUE /3D, on a linear mesh

  • MECANIQUE /3D, MECANIQUE /3D_ HMet MECANIQUE /3D_HM/ CONTACT on a quadratic mesh

2.1. Characteristics of linear meshing#

The linear mesh contains all types of linear meshes that can support finite elements X- FEM of the MECANIQUE /3D, MECANIQUE /3D/ CONTACT, THERMIQUE /3D, MECANIQUE /3D_HM, MECANIQUE /3D_HM, /3D_HM, /3D_HM/ CONTACT models. The cracks are arranged in such a way that all the X- FEM elements of the modeling are tested. The mesh, as well as the two cracks considered (a circular crack and an interface) are represented in the figure below.

_images/10000201000002C2000002FA9F9C4D6DD1FEE4B0.png

Figure 2.1-a : linear A mesh, and crack locations

The characteristics of the mesh are summarized in the table below.

SEG2

TRIA3

QUAD4

TETRA4

PENTA6

PYRAM5

HEXA8

80

228

540

540

1988

1988

918

1000

1700

2.2. Characteristics of quadratic meshing#

The quadratic mesh contains all types of quadratic cells (except TETRA10) that can support finite elements X- FEM for MECANIQUE /3D_HM modeling. The interface is arranged in such a way that all the X- FEM elements (except those based on TETRA10 meshes) of the MECANIQUE /3D_HM modeling are tested (here we do not consider a crack because the « crack-tip » elements do not exist for the MECANIQUE /3D_HM modeling). The mesh and the interface are shown in the figure below.

_images/1000020100000267000002A63F0B28E6DE3D2652.png

Figure 2.2-a : quadratic A mesh, and interface location

The characteristics of the mesh are summarized in the table below.

SEG3

TRIA6

QUAD8

PENTA15

HEXA20

80

108

580

580

1026

1900