3. Modeling A

3.1. Characteristics of modeling

3D modeling is used.

3.2. Characteristics of the mesh

The mesh contains 1128 elements of type HEXA8.

• The first calculation is done with the contact in formulation CONTINUE and without macro-elements;

• The second calculation is done with the contact in formulation CONTINUE and the cube is represented by a macroelement;

• The third calculation is done with the contact in formulation DISCRETE and the cube is represented by a macroelement;

3.3. Tested sizes and results

The vertical displacement and reaction are tested at point \(A\).

First calculation (without macro-element) — Contact in formulation CONTINUE — Reference

Identification	Reference type	Reference value	Tolerance
Point \(A\) - \(\mathit{DZ}\)	“ANALYTIQUE”	0	1.00E-012
Point \(A\) - \(\mathit{RZ}\)	“NON_REGRESSION”	-1.380156E+009	1.00E-006

Second calculation (with macro-element) — Contact in formulation CONTINUE

Identification	Reference type	Reference value	Tolerance
Point \(A\) - \(\mathit{DZ}\)	“ANALYTIQUE”	0	1.00E-012
Point \(A\) - \(\mathit{RZ}\)	“AUTRE_ASTER”	-1.380156E+009	1.00E-006

Third calculation (with macro-element) — Contact in formulation DISCRETE

Identification	Reference type	Reference value	Tolerance
Point \(A\) - \(\mathit{DZ}\)	“ANALYTIQUE”	0	1.00E-012
Point \(A\) - \(\mathit{RZ}\)	“AUTRE_ASTER”	-1.380156E+009	1.00E-006

3.4. notes

All three calculations give exactly the same results.