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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

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2018 Impact Factor: 1.272

Front. Struct. Civ. Eng.    2020, Vol. 14 Issue (2) : 311-321    https://doi.org/10.1007/s11709-019-0593-8
RESEARCH ARTICLE
Data driven models for compressive strength prediction of concrete at high temperatures
Mahmood AKBARI(), Vahid JAFARI DELIGANI
Department of Civil Engineering, Faculty of Engineering, University of Kashan, Kashan 8731753153, Iran
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Abstract

The use of data driven models has been shown to be useful for simulating complex engineering processes, when the only information available consists of the data of the process. In this study, four data-driven models, namely multiple linear regression, artificial neural network, adaptive neural fuzzy inference system, and K nearest neighbor models based on collection of 207 laboratory tests, are investigated for compressive strength prediction of concrete at high temperature. In addition for each model, two different sets of input variables are examined: a complete set and a parsimonious set of involved variables. The results obtained are compared with each other and also to the equations of NIST Technical Note standard and demonstrate the suitability of using the data driven models to predict the compressive strength at high temperature. In addition, the results show employing the parsimonious set of input variables is sufficient for the data driven models to make satisfactory results.

Keywords data driven model      compressive strength      concrete      high temperature     
Corresponding Author(s): Mahmood AKBARI   
Just Accepted Date: 04 November 2019   Online First Date: 02 March 2020    Issue Date: 08 May 2020
 Cite this article:   
Mahmood AKBARI,Vahid JAFARI DELIGANI. Data driven models for compressive strength prediction of concrete at high temperatures[J]. Front. Struct. Civ. Eng., 2020, 14(2): 311-321.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-019-0593-8
https://academic.hep.com.cn/fsce/EN/Y2020/V14/I2/311
Fig.1  The general structure of the multi-layer feed-forward Neural Network [52].
Fig.2  Two schematic structures of the input-output of the models.
variable abbreviation minimum maximum mean
cement (kg/m3) C 250 786 433
water (kg/m3) W 123 385 180
fine aggregate (kg/m3) FA 0 1345 592
coarse aggregate (kg/m3) CA 0 1681 1080
silica fume (kg/m3) SF 0 150 37
nano silica (kg/m3) NS 0 23 2
fly ash (kg/m3) F 0 150 11
superplasticizer (kg/m3) SP 0 26 9
types of specimen TS 1 5
temperature (°C) T 20 950 348
compressive strength (MPa) Fc,T or Fc,0 3 134 50
Tab.1  Range of input/output variables
property set 1 set 2
number of neurons in the input layer 10 2
number of neurons in the hidden layer 15 5
transfer function in the hidden layer sigmoidal tangent function sigmoidal tangent function
transfer function in the output layer linear function linear function
training method Levenberg-Marquardt (LM) Levenberg-Marquardt (LM)
Tab.2  Details of ANN model
property set 1 set 2
the number of antecedent variables 10 2
identification method fuzzy subtractive clustering fuzzy subtractive clustering
number of rules 8 6
antecedent fuzzy membership function Gaussian function Gaussian function
training method hybrid hybrid
Tab.3  Details of ANFIS model
property set 1 set 2
number of features 10 2
number of nearest neighbors (K) 3 17
kernal function Gaussian function exponential function
Tab.4  Details of KNN model
method training set testing set
R2 MAPE RRMSE R2 MAPE RRMSE
MLR model 0.72 38% 28% 0.65 30% 26%
ANN model 0.96 9% 10% 0.92 12% 12%
ANFIS model 0.94 14% 13% 0.89 20% 15%
KNN model 0.92 17% 15% 0.85 20% 17%
Tab.5  Comparison of results obtained from different models with experimentally data observed for the set 1 of the input variables
method training set testing set
R2 MAPE RRMSE R2 MAPE RRMSE
MLR model 0.84 28% 21% 0.77 25% 21%
ANN model 0.91 22% 15% 0.81 25% 19%
ANFIS model 0.93 18% 14% 0.88 16% 15%
KNN model 0.89 20% 17% 0.84 17% 17%
NIST equations 0.63 35% 32% 0.45 30% 32%
Tab.6  Comparison of results obtained from different models with experimentally data observed for the set 2 of the input variables
Fig.3  Scatter plots for MLR model and NIST equations for set 2 over the testing data set.
Fig.4  Scatter plot for ANN model for set 1 over the testing data set.
Fig.5  Scatter plot for ANFIS model for set 2 over the testing data set.
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