## 3 Results
### Computational Model  
The geometry generated by the model needed to be very close to the experimental one, since the experimental model was required to serve as a comparison to the computational model. For this reason, the similarity between the previous gradations was essential for calibration. Table 7 compares the granulometric values of the referential, the experimental, and the resulting granulometry in the modeling, showing a high precision between the results. On the other hand, Figure 6 shows us the granulometric curves used. \begin{table}
\begin{tabular}{c c c c} \hline \hline \multicolumn{2}{c}{**Mortar**} & \multicolumn{2}{c}{**Coarse Aggregate**} \\ \hline
**Yield Stress (MPa)** & **Plastic Strain** & **Yield Stress (MPa)** & **Plastic Strain** \\ \hline
12.56 & 0 & 37.60 & 0.00000 \\ \hline
15.64 & 0.0000077 & 40.54 & 0.000854 \\ \hline
21.29 & 0.000008 & 45.20 & 0.000979 \\ \hline
24.78 & 0.000044 & 50.07 & 0.001088 \\ \hline
30.03 & 0.000051 & 55.29 & 0.001203 \\ \hline
38.92 & 0.000154 & 60.35 & 0.001313 \\ \hline
40.88 & 0.000267 & 65.11 & 0.001413 \\ \hline  & & 70.30 & 0.001522 \\ \hline  & & 75.62 & 0.001627 \\ \hline  & & 80.14 & 0.001712 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Characteristics of yielding on the experimental plastic zone. \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Standard Sieve**} & \multirow{2}{*}{**Size (mm)**} & \multicolumn{3}{c}{**\% Passing**} \\ \cline{3-5}  & & **Referential** & **Experimental** & **Modeling** \\ \hline
1\({}^{\prime\prime}\) & 25.4 & 100.000 & 100.000 & 100.000 \\ \hline
3/4\({}^{\prime\prime}\) & 19.1 & 98.324 & 98.336 & 99.800 \\ \hline
1/2\({}^{\prime\prime}\) & 12.7 & 64.804 & 65.049 & 61.500 \\ \hline
3/8\({}^{\prime\prime}\) & 9.51 & 42.458 & 42.857 & 41.500 \\ \hline
4 & 4.75 & 1.955 & 2.635 & 0.800 \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Data of gradations used. Figure 6: Granulometric curves used. The modeling was carried out two times. In the first stage or moment, the behaviors of the materials were examined only in the elastic zone, for which the properties of unit weight and modulus of elasticity previously obtained in each of the materials were assigned. In this way, the results of maximum compressive stresses in the elastic zone and the respective elastic deformations were obtained for one of the simulations associated with mesh size, thus determining the modulus of elasticity \(\mathrm{E_{c}}\) of the concrete. Table 8 lists the individual numerical results associated with each mesh size, while Figure 7 shows the compression test curves for each mesh. Figure 8 shows the curves associated with each modeling by mesh size. In the final part of the computational model, the plastic behavior was added to the elastic behavior previously worked on, for which it was necessary to add the characteristic data of the yield zone that corresponded to stresses and deformations in the plastic range for each material previously obtained in the test part. In this way, the cylinder was brought to failure in the way it was brought to failure experimentally; this way, it was possible to obtain the results of the maximum compressive strength by using the modeling associated with each mesh size used and graphically comparing them with the experimental value. Table 9 presents the standard error values of the results, in which the error present in the results of the modulus of elasticity was three times greater than that generated in the compressive strength. Figure 8: Modeling results vs. experimental value. Compressive strength. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Parameter** & **4** & **3.5** & **3** & **2.5** \\ \hline Maximum elastic strength (MPa) & 9.17 & 9.07 & 9.04 & 9.03 \\ \hline Elastic strain & 0.0003679 & 0.0003682 & 0.0003685 & 0.0003682 \\ \hline Modulus of elasticity (GPa) & 24.925 & 24.633 & 24.531 & 24.524 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Characteristics of the elastic zone. Figure 7: Modeling results vs. experimental value. Modulus of elasticity.