3. Modeling A

3.1. Characteristics of modeling

A modeling is*tridimensional* and*quasistatic*. We use modeling with selective integration (MODELISATION = “HMS”).

3.2. Characteristics of the mesh

The mesh used is composed of 11 HEXA20, i.e. one element for each layer of the soil column (10 elements), and the rock on which the soil column rests.

3.3. Tested sizes and results

The settlement is calculated at the top of each layer and compared to given solutions GEFDYN:

Settlement (in millimeters) of layer no. 1

Step number	Code_Aster	GEFDYN	relative error
2	-4.573	-4.648	-1.622%
3	-8.297	-8.391	-1.116%
4	-11.828	-11.940	-0.935%
5	-15.356	-15.440	-0.543%
6	-18.931	-18.980	-0.260%
7	-22.587	-22.650	-0.279%
8	-26.368	-26.470	-0.384%
9	-30.307	-30.490	-0.600%
10	-34.419	-34.730	-0.895%

Settlement (in millimeters) of layer no. 2

Step number	Code_Aster	GEFDYN	relative error
3	-9.093	-8.409	8.136%
4	-16.386	-15.720	4.236%
5	-23.453	-22.780	2.956%
6	-30.555	-29.830	2.430%
7	-37.785	-37.030	2.039%
8	-45.222	-44.510	1.600%
9	-52.942	-52.360	1.112%
10	-60.992	-60.610	0.630%

Settlement (in millimeters) of layer no. 3

Step number	Code_Aster	GEFDYN	relative error
4	-12.010	-11.980	0.251%
5	-22.813	-22.800	0.055%
6	-33.445	-33.410	0.105%
7	-44.202	-44.120	0.186%
8	-55.213	-55.150	0.115%
9	-66.589	-66.650	-0.091%
10	-78.419	-78.730	-0.395%

Settlement (in millimeters) of layer no. 4

Step number	Code_Aster	GEFDYN	relative error
5	-16.280	-15.470	5.238%
6	-30.682	-29.840	2.821%
7	-44.984	-44.110	1.981%
8	-59.522	-58.650	1.486%
9	-74.471	-73.690	1.060%
10	-89.956	-89.430	0.588%

Settlement (in millimeters) of layer no. 5

Step number	Code_Aster	GEFDYN	relative error
6	-20.109	-19.020	5.725%
7	-38.202	-37.050	3.109%
8	-56.300	-55.150	2.085%
9	-74.776	-73.700	1.460%
10	-93.833	-92.980	0.917%

Settlement (in millimeters) of layer No. 6

Settlement (in millimeters) of layer No. 7

Step number	Code_Aster	GEFDYN	relative error
8	-27.632	-26.500	4.271%
9	-53.465	-52.380	2.072%
10	-79.610	-78.720	1.131%

Settlement (in millimeters) of layer No. 8

Step number	Code_Aster	GEFDYN	relative error
9	-31.369	-30.520	2.783%
10	-61.288	-60.630	1.085%

Settlement (in millimeters) of layer No. 9

Step number	Code_Aster	GEFDYN	relative error
10	-35.435	-34.750	1.973%

3.4. Comments

The relative error is at most \(\text{9\%}\), which is relatively satisfactory.