Evaluation and Multi-Objective Optimization of Lightweight Mortars Parameters at Elevated Temperature via Box–Behnken Optimization Approach

In this research, the mechanical properties of lightweight mortars containing different percentages of additional powder materials has been investigated using response surface methodology (RSM). Box–Behnken design, one of the RSM techniques, was used to study the effects of silica fume content (5, 1...

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Main Authors: Mehmet Kaya, Zeynel Baran Yıldırım, Fuat Köksal, Ahmet Beycioğlu, Izabela Kasprzyk
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/14/23/7405
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author Mehmet Kaya
Zeynel Baran Yıldırım
Fuat Köksal
Ahmet Beycioğlu
Izabela Kasprzyk
author_facet Mehmet Kaya
Zeynel Baran Yıldırım
Fuat Köksal
Ahmet Beycioğlu
Izabela Kasprzyk
author_sort Mehmet Kaya
collection DOAJ
description In this research, the mechanical properties of lightweight mortars containing different percentages of additional powder materials has been investigated using response surface methodology (RSM). Box–Behnken design, one of the RSM techniques, was used to study the effects of silica fume content (5, 10, and 15%), vermiculite/cement (V/C) ratio (4, 6, and 8), and temperature (300, 600, and 900 °C) on the ultrasonic pulse velocity (UPV), bending strength, and compressive strength of lightweight mortars. Design expert statistical software was accustomed to determining and evaluating the mix-design of materials in mortar mixtures and temperature effect on mortars. After preliminary experimental research of the relationships between independent and response variables, regression models were built. During the selection of the model parameters, F value, p-value, and R<sup>2</sup> values of the statistical models were taken into account by using the backward elimination technique. The results showed a high correlation between the variables and responses. Multi-objective optimization results showed that the critical temperatures for different levels of silica fume (5–10–15%) were obtained as 371.6 °C, 306.3 °C, and 436 °C, respectively, when the V/C ratio kept constant as 4. According to the results obtained at high desirability levels, it is found that the UPS values varied in the range of 2480–2737 m/s, flexural strength of 3.13–3.81 MPa, and compressive strength of 9.9–11.5 MPa at these critical temperatures. As a result of this research, RSM is highly recommended to evaluate mechanical properties where concrete includes some additional powder materials and was exposed to high temperature.
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spelling doaj.art-2396b2ca22a4493b83b7e288c08047772023-11-23T02:43:05ZengMDPI AGMaterials1996-19442021-12-011423740510.3390/ma14237405Evaluation and Multi-Objective Optimization of Lightweight Mortars Parameters at Elevated Temperature via Box–Behnken Optimization ApproachMehmet Kaya0Zeynel Baran Yıldırım1Fuat Köksal2Ahmet Beycioğlu3Izabela Kasprzyk4Department of Civil Engineering, Yozgat Bozok University, Yozgat 66100, TurkeyDepartment of Civil Engineering, Dokuz Eylul University, Izmir 35390, TurkeyDepartment of Civil Engineering, Yozgat Bozok University, Yozgat 66100, TurkeyDepartment of Civil Engineering, Adana Alparslan Türkes Science and Technology University, Adana 01250, TurkeyFaculty of Civil and Environmental Engineering and Architecture, Bydgoszcz University of Science and Technology, 85-796 Bydgoszcz, PolandIn this research, the mechanical properties of lightweight mortars containing different percentages of additional powder materials has been investigated using response surface methodology (RSM). Box–Behnken design, one of the RSM techniques, was used to study the effects of silica fume content (5, 10, and 15%), vermiculite/cement (V/C) ratio (4, 6, and 8), and temperature (300, 600, and 900 °C) on the ultrasonic pulse velocity (UPV), bending strength, and compressive strength of lightweight mortars. Design expert statistical software was accustomed to determining and evaluating the mix-design of materials in mortar mixtures and temperature effect on mortars. After preliminary experimental research of the relationships between independent and response variables, regression models were built. During the selection of the model parameters, F value, p-value, and R<sup>2</sup> values of the statistical models were taken into account by using the backward elimination technique. The results showed a high correlation between the variables and responses. Multi-objective optimization results showed that the critical temperatures for different levels of silica fume (5–10–15%) were obtained as 371.6 °C, 306.3 °C, and 436 °C, respectively, when the V/C ratio kept constant as 4. According to the results obtained at high desirability levels, it is found that the UPS values varied in the range of 2480–2737 m/s, flexural strength of 3.13–3.81 MPa, and compressive strength of 9.9–11.5 MPa at these critical temperatures. As a result of this research, RSM is highly recommended to evaluate mechanical properties where concrete includes some additional powder materials and was exposed to high temperature.https://www.mdpi.com/1996-1944/14/23/7405lightweight mortarsilica fumeexpanded vermiculiteresponse surface methodologybox-Behnken design
spellingShingle Mehmet Kaya
Zeynel Baran Yıldırım
Fuat Köksal
Ahmet Beycioğlu
Izabela Kasprzyk
Evaluation and Multi-Objective Optimization of Lightweight Mortars Parameters at Elevated Temperature via Box–Behnken Optimization Approach
Materials
lightweight mortar
silica fume
expanded vermiculite
response surface methodology
box-Behnken design
title Evaluation and Multi-Objective Optimization of Lightweight Mortars Parameters at Elevated Temperature via Box–Behnken Optimization Approach
title_full Evaluation and Multi-Objective Optimization of Lightweight Mortars Parameters at Elevated Temperature via Box–Behnken Optimization Approach
title_fullStr Evaluation and Multi-Objective Optimization of Lightweight Mortars Parameters at Elevated Temperature via Box–Behnken Optimization Approach
title_full_unstemmed Evaluation and Multi-Objective Optimization of Lightweight Mortars Parameters at Elevated Temperature via Box–Behnken Optimization Approach
title_short Evaluation and Multi-Objective Optimization of Lightweight Mortars Parameters at Elevated Temperature via Box–Behnken Optimization Approach
title_sort evaluation and multi objective optimization of lightweight mortars parameters at elevated temperature via box behnken optimization approach
topic lightweight mortar
silica fume
expanded vermiculite
response surface methodology
box-Behnken design
url https://www.mdpi.com/1996-1944/14/23/7405
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AT zeynelbaranyıldırım evaluationandmultiobjectiveoptimizationoflightweightmortarsparametersatelevatedtemperatureviaboxbehnkenoptimizationapproach
AT fuatkoksal evaluationandmultiobjectiveoptimizationoflightweightmortarsparametersatelevatedtemperatureviaboxbehnkenoptimizationapproach
AT ahmetbeycioglu evaluationandmultiobjectiveoptimizationoflightweightmortarsparametersatelevatedtemperatureviaboxbehnkenoptimizationapproach
AT izabelakasprzyk evaluationandmultiobjectiveoptimizationoflightweightmortarsparametersatelevatedtemperatureviaboxbehnkenoptimizationapproach