1. Principle of the test

Two areas are studied.

First domain

The first field studied is a \([-\mathrm{1,1}]\times [-\mathrm{1,1}]\) square

It is meshed in two different ways:

MA1: We cut the square in 76 TRIA6

MA2: We cut the square into 25 QUAD4

On mesh MA1, the first component of the stress field and the first component of the field of internal variables are defined, on each Gauss point, by the formula \(1+x+y\) where \(x\) and \(y\) represent the coordinates of the Gauss point.

These fields are then projected onto the MA2 mesh.

The value obtained by projection onto any two Gauss points is tested.

Second domain

The second area studied is a \([\mathrm{0,1}]\times [\mathrm{0,1}]\times [\mathrm{0,1}]\) cube

It is meshed in two different ways:

MA3: We cut the cube into 38 TETRA4

MA4: We cut the square in 64 HEXA8

On mesh MA3, the first component of the stress field and the first component of the field of internal variables are defined, on each Gauss point, by the formula \(1+x\) where \(x\) represents the abscissa of the Gauss point.

These fields are then projected onto the MA4 mesh.

The value obtained by projection onto any Gauss point is tested.