Please wait a minute...
Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

Postal Subscription Code 80-968

2018 Impact Factor: 1.272

Front. Struct. Civ. Eng.    2022, Vol. 16 Issue (8) : 1003-1016    https://doi.org/10.1007/s11709-022-0846-9
RESEARCH ARTICLE
Novel hybrid models of ANFIS and metaheuristic optimizations (SCE and ABC) for prediction of compressive strength of concrete using rebound hammer field test
Dung Quang VU1, Fazal E. JALAL2, Mudassir IQBAL3, Dam Duc NGUYEN1, Duong Kien TRONG1, Indra PRAKASH4, Binh Thai PHAM1()
1. University of Transport Technology, Hanoi 100000, Vietnam
2. Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
3. Department of Civil Engineering, University of Engineering and Technology, Peshawar 25120, Pakistan
4. DDG (R) Geological Survey of India, Gandhinagar 382010, India
 Download: PDF(18832 KB)   HTML
 Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

In this study, we developed novel hybrid models namely Adaptive Neuro Fuzzy Inference System (ANFIS) optimized by Shuffled Complex Evolution (SCE) on the one hand and ANFIS with Artificial Bee Colony (ABC) on the other hand. These were used to predict compressive strength (Cs) of concrete relating to thirteen concrete-strength affecting parameters which are easy to determine in the laboratory. Field and laboratory tests data of 108 structural elements of 18 concrete bridges of the Ha Long-Van Don Expressway, Vietnam were considered. The dataset was randomly divided into a 70:30 ratio, for training (70%) and testing (30%) of the hybrid models. Performance of the developed fuzzy metaheuristic models was evaluated using standard statistical metrics: Correlation Coefficient (R), Root Mean Square Error (RMSE) and Mean Absolute Error (MAE). The results showed that both of the novel models depict close agreement between experimental and predicted results. However, the ANFIS-ABC model reflected better convergence of the results and better performance compared to that of ANFIS-SCE in the prediction of the concrete Cs. Thus, the ANFIS-ABC model can be used for the quick and accurate estimation of compressive strength of concrete based on easily determined parameters for the design of civil engineering structures including bridges.

Keywords shuffled complex evolution      artificial bee colony      ANFIS      concrete      compressive strength      Vietnam     
Corresponding Author(s): Binh Thai PHAM   
Just Accepted Date: 23 August 2022   Online First Date: 31 October 2022    Issue Date: 02 December 2022
 Cite this article:   
Dung Quang VU,Fazal E. JALAL,Mudassir IQBAL, et al. Novel hybrid models of ANFIS and metaheuristic optimizations (SCE and ABC) for prediction of compressive strength of concrete using rebound hammer field test[J]. Front. Struct. Civ. Eng., 2022, 16(8): 1003-1016.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-022-0846-9
https://academic.hep.com.cn/fsce/EN/Y2022/V16/I8/1003
Fig.1  Photos of the study sites.
Fig.2  Rebound Hammer test at Troi River Bridge.
Fig.3  Concrete strength verses age of concrete, graph plotted from data analysis using Eqs. (2) and (3).
parameters abbreviation coded measuring unit minimum value maximum value average value std
age of concrete AC X1 d 17 556 167.639 119.987
cement C X2 kg/m3 400 490 458.109 33.282
coarse aggregate dmax 20 mm CA X3 kg/m3 1100 1129 1120.491 10.899
sand S X4 kg/m3 715 873 769.642 58.008
water W X5 kg/m3 145 155 147.176 3.99
admixture AD X6 kg/m3 4.25 5.467 5.074 0.549
aggregate and cement ratio A/C X7 3.735 4.933 4.158 0.441
water and cement ratio W/C X8 0.305 0.362 0.323 0.022
sand and aggregate ratio S/CA X9 0.391 0.442 0.407 0.019
admixture and cement ratio AD/C X10 0.01 0.012 0.011 0.001
strength (saturated) of stone original stone SS X11 MPa 121.5 130.2 125.546 2.661
modulus of sand MS X12 mm 2.55 2.71 2.604 0.047
compressive strength of Portland cement mortar at an age of 28 d PC X13 MPa 43.09 43.83 43.418 0.265
compressive strength of concrete Cs Y MPa 35.11 56.78 46.343 6.041
Tab.1  Statistical properties of 13 input parameters (attributes) used in the models study and also Cs of concrete (output parameter)
Fig.4  Distributional analysis of data used in the model study: (a) age of concrete (AC); (b) cement content (C); (c) coarse aggregate dmax 20 mm (CA); (d) sand (S); (e) water (W); (f) admixture (AD); (g) aggregate and cement ratio (A/C); (h) water and cement ratio (W/C); (i) sand and aggregate ratio (S/CA); (j) admixture and cement ratio (AD/C); (k) strength (saturated) of original stone (SS); (l) modulus of sand (MS); (m) compressive strength of Portland cement mortar at an age of 28 d (PC); (n) compressive strength of concrete (Cs).
Fig.5  Methodological flowchart of this study.
Fig.6  Methodological flowchart of ANFIS method followed in this study.
No hyper-parameters models
ANFIS ANFIS-SCE ANFIS-ABC
1 input membership function type Gaussian
2 number of parameters per membership function 3
3 number of membership function per input 10
4 output membership function type linear
5 number of total parameters 108
6 population size 50 50
7 complex size 20
8 number of complexes 10
9 number of parents 75
10 number of off springs 3
11 maximum number of iterations 5
12 acceleration coefficient upper bound 30
13 acceleration coefficient lower bound 1
14 stopping iteration 1000 1000
Tab.2  Hyper-parameters of ANFIS-SCE and ANFIS-ABC models used in this study
STT models RMSE MAE
1 ANFIS-SCE 0.084633 0.061924
2 ANFIS-ABC 0.072634 0.056623
Tab.3  Comparison of errors of ANFIS-SCE and ANFIS-ABC using training dataset
STT models RMSE MAE
1 ANFIS-SCE 0.08348 0.067697
2 ANFIS-ABC 0.072272 0.059358
Tab.4  Comparison of errors of ANFIS-SCE and ANFIS-ABC using testing dataset
Fig.7  Cost function analysis of the ANFIS-SCE model using different statistical indicators: (a) R; (b) RMSE; and (c) MAE.
Fig.8  Cost function analysis of the ANFIS-ABC model using different statistical indicators: (a) R; (b) RMSE; and (c) MAE.
Fig.9  Correlation analysis of actual and predicted values of Cc using the ANFIS-SCE model: (a) training dataset and (b) testing dataset.
Fig.10  Correlation analysis of actual and predicted values of Cc using the ANFIS-ABC model: (a) training dataset and (b) testing dataset.
Fig.11  Error analysis of the ANFIS-SCE model using (a) training dataset and (b) testing datasets.
Fig.12  Error analysis of the ANFIS-ABC model using (a) training dataset and (b) testing datasets.
1 K C Onyelowe, M Iqbal, F E Jalal, M E Onyia, I C Onuoha. Application of 3-algorithm ANN programming to predict the strength performance of hydrated-lime activated rice husk ash treated soil. Multiscale and Multidisciplinary Modeling, Experiments and Design, 2021, 4(4): 259–274
2 M Najimi, N Ghafoori, M Nikoo. Modeling chloride penetration in self-consolidating concrete using artificial neural network combined with artificial bee colony algorithm. Journal of Building Engineering, 2019, 22: 216–226
https://doi.org/10.1016/j.jobe.2018.12.013
3 H Ghasemi, P Kerfriden, S P Bordas, J Muthu, G Zi, T J C S Rabczuk. Interfacial shear stress optimization in sandwich beams with polymeric core using non-uniform distribution of reinforcing ingredients. Composite Structures, 2015, 120: 221–230
4 H Ghasemi, R Brighenti, X Zhuang, J Muthu, T J S Rabczuk, M Optimization. Optimal fiber content and distribution in fiber-reinforced solids using a reliability and NURBS based sequential optimization approach. Structural and Multidisciplinary Optimization, 2015, 51(1): 99–112
5 H Ghasemi, R Brighenti, X Zhuang, J Muthu, T J C M S Rabczuk. Optimization of fiber distribution in fiber reinforced composite by using NURBS functions. Computational Materials Science, 2014, 83: 463–473
6 Y Zhao, H Moayedi, M Bahiraei, L K Foong. Employing TLBO and SCE for optimal prediction of the compressive strength of concrete. Smart Structures and Systems, 2020, 26(6): 753–763
7 F E Jalal, Y Xu, M Iqbal, M F Javed, B Jamhiri. Predictive modeling of swell-strength of expansive soils using artificial intelligence approaches: ANN, ANFIS and GEP. Journal of Environmental Management, 2021, 289: 112420
https://doi.org/10.1016/j.jenvman.2021.112420
8 A H Alavi, A H Gandomi, H C Nejad, A Mollahasani, A Rashed. Design equations for prediction of pressuremeter soil deformation moduli utilizing expression programming systems. Neural Computing & Applications, 2013, 23(6): 1771–1786
https://doi.org/10.1007/s00521-012-1144-6
9 B T Pham, C Luu, T Van Phong, H D Nguyen, H Van Le, T Q Tran, H T Ta, I Prakash. Flood risk assessment using hybrid artificial intelligence models integrated with multi-criteria decision analysis in Quang Nam Province, Vietnam. Journal of Hydrology (Amsterdam), 2021, 592: 125815
https://doi.org/10.1016/j.jhydrol.2020.125815
10 C Anitescu, E Atroshchenko, N Alajlan, T Rabczuk. Artificial neural network methods for the solution of second order boundary value problems. Computers, Materials & Continua, 2019, 59(1): 345–359
https://doi.org/10.32604/cmc.2019.06641
11 K GopalakrishnanH Ceylan. Application of Shuffled Complex Evolution Optimization Approach to Concrete Pavement Backanalysis. Iowa State University Digital Repository, 2010
12 H GuoX Zhuang T Rabczuk. A deep collocation method for the bending analysis of Kirchhoff plate. 2021, arXiv:2102.02617
13 E Samaniego, C Anitescu, S Goswami, V M Nguyen-Thanh, H Guo, K Hamdia, X Zhuang, T Rabczuk. An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications. Computer Methods in Applied Mechanics and Engineering, 2020, 362: 112790
https://doi.org/10.1016/j.cma.2019.112790
14 X Zhuang, H Guo, N Alajlan, H Zhu, T Rabczuk. Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning. European Journal of Mechanics. A, Solids, 2021, 87: 104225
https://doi.org/10.1016/j.euromechsol.2021.104225
15 A Tapao, R Cheerarot. Optimal parameters and performance of artificial bee colony algorithm for minimum cost design of reinforced concrete frames. Engineering Structures, 2017, 151: 802–820
https://doi.org/10.1016/j.engstruct.2017.08.059
16 H Jahangir, D Rezazadeh Eidgahee. A new and robust hybrid artificial bee colony algorithm—ANN model for FRP-concrete bond strength evaluation. Composite Structures, 2021, 257: 113160
https://doi.org/10.1016/j.compstruct.2020.113160
17 M Iqbal, K C Onyelowe, F E Jalal. Smart computing models of California bearing ratio, unconfined compressive strength, and resistance value of activated ash-modified soft clay soil with adaptive neuro-fuzzy inference system and ensemble random forest regression techniques. Multiscale and Multidisciplinary Modeling, Experiments and Design, 2021, 4(3): 207–225
18 M R Naeini, B Analui, H V Gupta, Q Duan, S Sorooshian. Three decades of the Shuffled Complex Evolution (SCE-UA) optimization algorithm: Review and applications. Scientia Iranica, 2019, 26(4): 2015–2031
19 S Zheng, Z Lyu, L K Foong. Early prediction of cooling load in energy-efficient buildings through novel optimizer of shuffled complex evolution. Engineering with Computers, 2020, 1–15
20 W Chen, M Panahi, H R Pourghasemi. Performance evaluation of GIS-based new ensemble data mining techniques of adaptive neuro-fuzzy inference system (ANFIS) with genetic algorithm (GA), differential evolution (DE), and particle swarm optimization (PSO) for landslide spatial modelling. Catena, 2017, 157: 310–324
https://doi.org/10.1016/j.catena.2017.05.034
21 S V R Termeh, A Kornejady, H R Pourghasemi, S Keesstra. Flood susceptibility mapping using novel ensembles of adaptive neuro fuzzy inference system and metaheuristic algorithms. Science of the Total Environment, 2018, 615: 438–451
https://doi.org/10.1016/j.scitotenv.2017.09.262
22 A Jaafari, E K Zenner, M Panahi, H Shahabi. Hybrid artificial intelligence models based on a neuro-fuzzy system and metaheuristic optimization algorithms for spatial prediction of wildfire probability. Agricultural and Forest Meteorology, 2019, 266: 198–207
https://doi.org/10.1016/j.agrformet.2018.12.015
23 H Hong, M Panahi, A Shirzadi, T Ma, J Liu, A X Zhu, W Chen, I Kougias, N Kazakis. Flood susceptibility assessment in Hengfeng area coupling adaptive neuro-fuzzy inference system with genetic algorithm and differential evolution. Science of the Total Environment, 2018, 621: 1124–1141
https://doi.org/10.1016/j.scitotenv.2017.10.114
24 W Chen, M Panahi, P Tsangaratos, H Shahabi, I Ilia, S Panahi, S Li, A Jaafari, B B Ahmad. Applying population-based evolutionary algorithms and a neuro-fuzzy system for modeling landslide susceptibility. Catena, 2019, 172: 212–231
https://doi.org/10.1016/j.catena.2018.08.025
25 A Z Zangeneh, M Mansouri, M Teshnehlab, A K Sedigh. Training ANFIS system with DE algorithm. In: The Fourth International Workshop on Advanced Computational Intelligence. Wuhan: IEEE, 2011, 308–314
26 H R Pourghasemi, S V Razavi-Termeh, N Kariminejad, H Hong, W Chen. An assessment of metaheuristic approaches for flood assessment. Journal of Hydrology (Amsterdam), 2020, 582: 124536
https://doi.org/10.1016/j.jhydrol.2019.124536
27 F Cus, J Balic, U Zuperl. Hybrid ANFIS-ants system based optimisation of turning parameters. Journal of Achievements in Materials and Manufacturing Engineering, 2009, 36(1): 79–86
28 H B Ly, B T Pham, D V Dao, V M Le, L M Le, T T Le. Improvement of ANFIS model for prediction of compressive strength of manufactured sand concrete. Applied Sciences (Basel, Switzerland), 2019, 9(18): 3841
https://doi.org/10.3390/app9183841
29 A Nazari, J G Sanjayan. Modelling of compressive strength of geopolymer paste, mortar and concrete by optimized support vector machine. Ceramics International, 2015, 41(9): 12164–12177
https://doi.org/10.1016/j.ceramint.2015.06.037
30 H Kibar, T Ozturk. Determination of concrete quality with destructive and non-destructive methods. Computers and Concrete, 2015, 15(3): 473–484
https://doi.org/10.12989/cac.2015.15.3.473
31 M Shariati, M S Mafipour, J H Haido, S T Yousif, A Toghroli, N T Trung, A Shariati. Identification of the most influencing parameters on the properties of corroded concrete beams using an Adaptive Neuro-Fuzzy Inference System (ANFIS). Steel and Composite Structures, 2020, 34(1): 155
32 318-11 ACI. Building Code Requirements for Structural Concrete and Commentary. Farmington Hills, MI: American Concrete Institute, 2012
33 M ShettyA Jain. Concrete Technology (Theory and Practice). S. Chand Publishing, 2019
34 D Abrams. Design of Concrete Mixture. Structural Materials Research Laboratory, Lewis Institute, 1919,
35 B PunmiaA K JainA K Jain. Basic Civil Engineering. Firewall Media, 2003
36 J S Scott. Dictionary of Civil Engineering. Berlin: Springer Science & Business Media, 1993
37 M B Haque, I A Tuhin, M S S Farid. Effect of aggregate size distribution on concrete compressive strength. SUST Journal of Science and Technology, 2012, 19(5): 35–39
38 R KozulD Darwin. Effects of Aggregate Type, Size, and Content on Concrete Strength and Fracture Energy. SM Report No. 43. University of Kansas Center for Research, Inc., 1997
39 D L Bloem, R D Gaynor. Effects of aggregate properties on strength of concrete. International Concrete Abstracts Portal, 1963, 60(10): 1429–1456
40 H Smail. Evaluation of the seismic performance and dimensioning of the seismic joint between two reinforced concrete structures. Dissertation for the Doctoral Degree. Tizi Ouzou: Université Mouloud Mammeri Tizi-Ouzou, 2019
41 M Alexander, J Skalny, S Mindess. Role of aggregates in hardened concrete. Material Science of Concrete III, 1989, 119–146
42 A Cetin, R L Carrasquillo. High-performance concrete: influence of coarse aggregates on mechanical properties. Materials Journal, 1998, 95(3): 252–261
43 A S Ezeldin, P C Aitcin. Effect of coarse aggregate on the behavior of normal and high-strength concretes. Cement, Concrete and Aggregates, 1991, 13(2): 121–124
https://doi.org/10.1520/CCA10128J
44 M Kaplan. Flexural and compressive strength of concrete as affected by the properties of coarse aggregates. Journal Proceedings. 1959: 1193–1208
45 P K Mehta, P Monteiro. Concrete: Structures, Properties and Materials. São Paulo: Pini, 1994, 572
46 G Washa. Concrete Construction Handbook. New York: McGraw-Hill, 1998
47 F De Larrard. Concrete Mixture Proportioning: A Scientific Approach. London: CRC Press, 1999
48 S SenftS GallegosD P MansonC Gonzales. Chemical Admixtures for Concrete. London: CRC Press, 1999
49 S Sada, S Ikpeseni. Evaluation of ANN and ANFIS modeling ability in the prediction of AISI 1050 steel machining performance. Heliyon, 2021, 7(2): e06136
https://doi.org/10.1016/j.heliyon.2021.e06136
50 R Akan, S N Keskin. The effect of data size of ANFIS and MLR models on prediction of unconfined compression strength of clayey soils. SN Applied Sciences, 2019, 1(8): 1–11
https://doi.org/10.1007/s42452-019-0883-8
51 M Saadat, M Bayat. Prediction of the unconfined compressive strength of stabilised soil by Adaptive Neuro Fuzzy Inference System (ANFIS) and Non-Linear Regression (NLR). Geomechanics and Geoengineering, 2019, 1–12
52 M R Islam, W Z W Jaafar, L S Hin, N Osman, A Hossain, N S Mohd. Development of an intelligent system based on ANFIS model for predicting soil erosion. Environmental Earth Sciences, 2018, 77(5): 1–15
https://doi.org/10.1007/s12665-018-7348-z
53 Z Luo, Z Luo, Y Qin, L Wen, S Ma, Z Dai. Developing new tree expression programing and artificial bee colony technique for prediction and optimization of landslide movement. Engineering with Computers, 2020, 36(3): 1117–1134
54 F KangJ LiQ Xu. Structural inverse analysis by hybrid simplex artificial bee colony algorithms. Computers & Structures, 2009, 87(13−14): 861−870
55 D Karaboga, B Basturk. A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. Journal of Global Optimization, 2007, 39(3): 459–471
https://doi.org/10.1007/s10898-007-9149-x
56 J Bai, H Liu. Multi-objective artificial bee algorithm based on decomposition by PBI method. Applied Intelligence, 2016, 45(4): 976–991
https://doi.org/10.1007/s10489-016-0787-x
57 Q Duan, V K Gupta, S Sorooshian. Shuffled complex evolution approach for effective and efficient global minimization. Journal of Optimization Theory and Applications, 1993, 76(3): 501–521
https://doi.org/10.1007/BF00939380
58 N Muttil, S Y Liong. Liong S-Y. Superior exploration–exploitation balance in shuffled complex evolution. Journal of Hydraulic Engineering (New York, N.Y.), 2004, 130(12): 1202–1205
https://doi.org/10.1061/(ASCE)0733-9429(2004)130:12(1202
59 M Thyer, G Kuczera, B C Bates. Probabilistic optimization for conceptual rainfall-runoff models: A comparison of the shuffled complex evolution and simulated annealing algorithms. Water Resources Research, 1999, 35(3): 767–773
https://doi.org/10.1029/1998WR900058
60 J A Vrugt, H V Gupta, W Bouten, S Sorooshian. A Shuffled Complex Evolution Metropolis algorithm for optimization and uncertainty assessment of hydrologic model parameters. Water Resources Research, 2003, 39(8): 1–52
https://doi.org/10.1029/2002WR001642
61 Q H Nguyen, H-B Ly, L S Ho, N Al-Ansari, H V Le, V Q Tran, I Prakash, B T Pham. Influence of data splitting on performance of machine learning models in prediction of shear strength of soil. Mathematical Problems in Engineering, 2021, 1–15
62 H Tao, A O Al-Sulttani, A M Salih Ameen, Z H Ali, N Al-Ansari, S Q Salih, R R Mostafa. Training and testing data division influence on hybrid machine learning model process: Application of river flow forecasting. Complexity, 2020, 1–22
63 D S Prashanth, R V K Mehta, N Sharma. Classification of handwritten Devanagari number—An analysis of pattern recognition tool using neural network and CNN. Procedia Computer Science, 2020, 167: 2445–2457
64 M P Lalitha, N S Reddy, V V Reddy. Optimal DG placement for maximum loss reduction in radial distribution system using ABC algorithm. International Journal of Reviews in Computing, 2010, 3(1): 44–52
65 X Gao, Y Cui, J Hu, G Xu, Z Wang, J Qu, H Wang. Parameter extraction of solar cell models using improved shuffled complex evolution algorithm. Energy Conversion and Management, 2018, 157: 460–479
https://doi.org/10.1016/j.enconman.2017.12.033
[1] Hai-Bang LY, Thuy-Anh NGUYEN, Binh Thai PHAM, May Huu NGUYEN. A hybrid machine learning model to estimate self-compacting concrete compressive strength[J]. Front. Struct. Civ. Eng., 2022, 16(8): 990-1002.
[2] Van Quan TRAN, Hai-Van Thi MAI, Thuy-Anh NGUYEN, Hai-Bang LY. Assessment of different machine learning techniques in predicting the compressive strength of self-compacting concrete[J]. Front. Struct. Civ. Eng., 2022, 16(7): 928-945.
[3] Hui MA, Fangda LIU, Yanan WU, Xin A, Yanli ZHAO. Axial compression tests and numerical simulation of steel reinforced recycled concrete short columns confined by carbon fiber reinforced plastics strips[J]. Front. Struct. Civ. Eng., 2022, 16(7): 817-842.
[4] Necat ÖZAŞIK, Özgür EREN. Influence of recycled polyethylene terephthalate fibres on plastic shrinkage and mechanical properties of concrete[J]. Front. Struct. Civ. Eng., 2022, 16(6): 792-802.
[5] Osama A MOHAMED, Rania AL-KHATTAB, Waddah AL-HAWAT. Resistance to acid degradation, sorptivity, and setting time of geopolymer mortars[J]. Front. Struct. Civ. Eng., 2022, 16(6): 781-791.
[6] Jia’ao YU, Zhenzhong SHEN, Zhangxin HUANG. Analysis on damage causes of built-in corridor in core rock-fill dam on thick overburden: A case study[J]. Front. Struct. Civ. Eng., 2022, 16(6): 762-780.
[7] Minghong QIU, Xudong SHAO, Weiye HU, Yanping ZHU, Husam H. HUSSEIN, Yaobei HE, Qiongwei LIU. Field validation of UHPC layer in negative moment region of steel-concrete composite continuous girder bridge[J]. Front. Struct. Civ. Eng., 2022, 16(6): 744-761.
[8] Kadir SENGUN, Guray ARSLAN. Investigation of the parameters affecting the behavior of RC beams strengthened with FRP[J]. Front. Struct. Civ. Eng., 2022, 16(6): 729-743.
[9] Yanbin ZHANG, Zhe WANG, Mingyu FENG. Effect of cavity defect on the triaxial mechanical properties of high-performance concrete[J]. Front. Struct. Civ. Eng., 2022, 16(5): 600-614.
[10] Dominik KUERES, Dritan TOPUZI, Maria Anna POLAK. Predetermination of potential plastic hinges on reinforced concrete frames using GFRP reinforcement[J]. Front. Struct. Civ. Eng., 2022, 16(5): 624-637.
[11] Izhar AHMAD, Kashif Ali KHAN, Tahir AHMAD, Muhammad ALAM, Muhammad Tariq BASHIR. Influence of accelerated curing on the compressive strength of polymer-modified concrete[J]. Front. Struct. Civ. Eng., 2022, 16(5): 589-599.
[12] Abbas YAZDANI. Applying the spectral stochastic finite element method in multiple-random field RC structures[J]. Front. Struct. Civ. Eng., 2022, 16(4): 434-447.
[13] Lizhao DAI, Wengang XU, Lei WANG, Shanchang YI, Wen CHEN. Secondary transfer length and residual prestress of fractured strand in post-tensioned concrete beams[J]. Front. Struct. Civ. Eng., 2022, 16(3): 388-400.
[14] Wafaa Mohamed SHABAN, Khalid ELBAZ, Mohamed AMIN, Ayat gamal ASHOUR. A new systematic firefly algorithm for forecasting the durability of reinforced recycled aggregate concrete[J]. Front. Struct. Civ. Eng., 2022, 16(3): 329-346.
[15] Jingwei YING, Feiming SU, Shuangren CHEN. Long term performance of recycled concrete beams with different water–cement ratio and recycled aggregate replacement rate[J]. Front. Struct. Civ. Eng., 2022, 16(3): 302-315.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed