Abstract

Development of Foamed Concrete (FC) and incessant increases in fabrication technology have paved the way for many promising civil engineering applications. Nevertheless, the design of FC requires a large number of experiments to determine the appropriate Compressive Strength (CS). Employment of machine learning algorithms to take advantage of the existing experiments database has been attempted, but model performance can still be improved. In this study, the performance of an Artificial Neural Network (ANN) was fully analyzed to predict the 28 days CS of FC. Monte Carlo simulations (MCS) were used to statistically analyze the convergence of the modeled results under the effect of random sampling strategies and the network structures selected. Various statistical measures such as Coefficient of Determination (R2), Mean Absolute Error (MAE), and Root Mean Squared Error (RMSE) were used for validation of model performance. The results show that ANN is a highly efficient predictor of the CS of FC, achieving a maximum R2 value of 0.976 on the training part and an R2 of 0.972 on the testing part, using the optimized C-ANN-[3–4–5–1] structure, which compares with previous published studies. In addition, a sensitivity analysis using Partial Dependence Plots (PDP) over 1000 MCS was also performed to interpret the relationship between the input parameters and 28 days CS of FC. Dry density was found as the variable with the highest impact to predict the CS of FC. The results presented could facilitate and enhance the use of C-ANN in other civil engineering-related problems.

Highlights

  • Over the past decades, large-scale, super-tall, or mega-tall buildings have been increasingly constructed over the world [1,2]

  • C-Artificial Neural Network (ANN)-[–1], a fluctuation of 1% around the mean value was reached from 100 simulations (Figure 2a), whereas with the same number of runs, Root Mean Squared Error (RMSE) and Mean Absolute Error (MAE) fluctuated around 4% of the average values (Figure 2b,c)

  • Considering the structure Conventional Artificial Neural Network (C-ANN)-[3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20–] with the results plotted in Figure 3, the fluctuation in terms of R2 seemed more important than the previous case, i.e., from 70% to 110% compared with a range of 90% to 105%

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Summary

Introduction

Large-scale, super-tall, or mega-tall buildings have been increasingly constructed over the world [1,2]. This fact raises a number of fundamental engineering problems, crucial to be solved, such as self-weight, large foundation sizes, and earthquake resistance [3,4]. Cellular concrete is made by generating air bubbles in the cement paste or mortar. These bubbles have diameters ranging from 0.1 to 1 mm [9,10] and air is usually contained within 50% of the volume [11]. The presence of Materials 2020, 13, 1072; doi:10.3390/ma13051072 www.mdpi.com/journal/materials

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