Simulation of foamed concrete compressive strength prediction using adaptive neuro-fuzzy inference system optimized by nature-inspired algorithms
Ahmad SHARAFATI, H. NADERPOUR, Sinan Q. SALIH, E. ONYARI, Zaher Mundher YASEEN
Simulation of foamed concrete compressive strength prediction using adaptive neuro-fuzzy inference system optimized by nature-inspired algorithms
Concrete compressive strength prediction is an essential process for material design and sustainability. This study investigates several novel hybrid adaptive neuro-fuzzy inference system (ANFIS) evolutionary models, i.e., ANFIS–particle swarm optimization (PSO), ANFIS–ant colony, ANFIS–differential evolution (DE), and ANFIS–genetic algorithm to predict the foamed concrete compressive strength. Several concrete properties, including cement content (C), oven dry density (O), water-to-binder ratio (W), and foamed volume (F) are used as input variables. A relevant data set is obtained from open-access published experimental investigations and used to build predictive models. The performance of the proposed predictive models is evaluated based on the mean performance (MP), which is the mean value of several statistical error indices. To optimize each predictive model and its input variables, univariate (C, O, W, and F), bivariate (C–O, C–W, C–F, O–W, O–F, and W–F), trivariate (C–O–W, C–W–F, O–W–F), and four-variate (C–O–W–F) combinations of input variables are constructed for each model. The results indicate that the best predictions obtained using the univariate, bivariate, trivariate, and four-variate models are ANFIS–DE– (O) (MP= 0.96), ANFIS–PSO– (C–O) (MP= 0.88), ANFIS–DE– (O–W–F) (MP= 0.94), and ANFIS–PSO– (C–O–W–F) (MP= 0.89), respectively. ANFIS–PSO– (C–O) yielded the best accurate prediction of compressive strength with an MP value of 0.96.
foamed concrete / adaptive neuro fuzzy inference system / nature-inspired algorithms / prediction of compressive strength
[1] |
Khan K A, Ahmad I, Alam M. Effect of Ethylene Vinyl Acetate (EVA) on the setting time of cement at different temperatures as well as on the mechanical strength of concrete. Arabian Journal for Science and Engineering, 2019, 44: 4075–4084
|
[2] |
Zhang C, Liu H, Li S, Liu C, Qin L, Chang J, Cheng R.Experimental study on the expansion of a new cement-based borehole sealing material using different additives and varied water-cement ratios. Arabian Journal for Science and Engineering, 2019, 44: 1–9
|
[3] |
DeRousseau M A, Kasprzyk J R, Srubar W V. Computational design optimization of concrete mixtures: A review. Cement and Concrete Research, 2018, 109: 42–53
CrossRef
Google scholar
|
[4] |
Guo Y, Xie J, Zhao J, Zuo K. Utilization of unprocessed steel slag as fine aggregate in normal- and high-strength concrete. Construction & Building Materials, 2019, 204: 41–49
CrossRef
Google scholar
|
[5] |
Kearsley E P. Just Foamed Concrete—An overview. Specialist Techniques and Materials for Concrete Construction. London: Thomas Telford Publishing, 1999.
CrossRef
Google scholar
|
[6] |
Nehdi M, Djebbar Y, Khan A. Neural network model for preformed-foam cellular concrete. ACI Materials Journal, 2001, 98(5): 402–409
|
[7] |
Yaseen Z M, Deo R C, Hilal A, Abd A M, Bueno L C, Salcedo-Sanz S, Nehdi M L. Predicting compressive strength of lightweight foamed concrete using extreme learning machine model. Advances in Engineering Software, 2018, 115: 112–125
CrossRef
Google scholar
|
[8] |
Kovler K, Roussel N. Properties of fresh and hardened concrete. Cement and Concrete Research, 2011, 41(7): 775–792
CrossRef
Google scholar
|
[9] |
Ayub T, Shafiq N, Fadhil Nuruddin M. Stress-strain response of high strength concrete and application of the existing models. Research Journal of Applied Sciences, Engineering and Technology, 2014, 8(10): 1174–1190
CrossRef
Google scholar
|
[10] |
Al-Mufadi F, Sherif H A. Effect of multiwalled carbon nanotubes on sensing crack initiation and ultimate strength of cement nanocomposites. Arabian Journal for Science and Engineering, 2019, 44: 1403–1413
|
[11] |
Liu L, Xin J, Feng Y, Zhang B, Song K I. Effect of the cement-tailing ratio on the hydration products and microstructure characteristics of cemented paste backfill. Arabian Journal for Science and Engineering, 2019, 44(7): 6547–6556
|
[12] |
Hilal A A, Thom N H, Dawson A R. On void structure and strength of foamed concrete made without/with additives. Construction & Building Materials, 2015, 85: 157–164
CrossRef
Google scholar
|
[13] |
Kearsley E P, Wainwright P J. The effect of porosity on the strength of foamed concrete. Cement and Concrete Research, 2002, 32(2): 233–239
CrossRef
Google scholar
|
[14] |
Bing C, Zhen W, Ning L. Experimental research on properties of high-strength foamed concrete. Journal of Materials in Civil Engineering, 2012, 24(1): 113–118
CrossRef
Google scholar
|
[15] |
Lim J C, Ozbakkaloglu T. Stress-strain model for normal- and light-weight concretes under uniaxial and triaxial compression. Construction & Building Materials, 2014, 71: 492–509
CrossRef
Google scholar
|
[16] |
Liu J, Tang K, Qiu Q, Pan D, Lei Z, Xing F. Experimental investigation on pore structure characterization of concrete exposed to water and chlorides. Materials (Basel), 2014, 7(9): 6646–6659
CrossRef
Google scholar
|
[17] |
Thakrele MH. Experimental study on foam concrete. International Journal of Civil, Structural, Environmental and Infrastructure Engineering Research and Development 2014, 4(1): 145–157
CrossRef
Google scholar
|
[18] |
Ma C, Chen B. Properties of foamed concrete containing water repellents. Construction & Building Materials, 2016, 123: 106–114
CrossRef
Google scholar
|
[19] |
Falliano D, De Domenico D, Ricciardi G, Gugliandolo E. Experimental investigation on the compressive strength of foamed concrete: Effect of curing conditions, cement type, foaming agent and dry density. Construction & Building Materials, 2018, 165 : 735–749
CrossRef
Google scholar
|
[20] |
Abd A M, Abd S M. Modelling the strength of lightweight foamed concrete using support vector machine (SVM). Case Studies in Construction Materials, 2017, 6: 8–15
CrossRef
Google scholar
|
[21] |
Young B A, Hall A, Pilon L, Gupta P, Sant G. Can the compressive strength of concrete be estimated from knowledge of the mixture proportions? New insights from statistical analysis and machine learning methods. Cement and Concrete Research, 2019, 115: 379–388
|
[22] |
Nambiar E K K, Ramamurthy K. Models relating mixture composition to the density and strength of foam concrete using response surface methodology. Cement and Concrete Composites, 2006, 28(9): 752–760
CrossRef
Google scholar
|
[23] |
Nambiar E K K, Ramamurthy K. Models for strength prediction of foam concrete. Materials and Structures/Materiaux et Constructions, 2008, 41(2): 247–254
CrossRef
Google scholar
|
[24] |
Mydin M A O. Modeling of transient heat transfer in foamed concrete slab. Journal of Engineering Science and Technology 2013, 8(3): 326–343
|
[25] |
Wang W Y, Li J, Liu W, Liu Z K. Integrated computational materials engineering for advanced materials: A brief review. Computational Materials Science, 2019, 158: 42–48
|
[26] |
Adeli H. Neural networks in civil engineering: 1989–2000. Computer-Aided Civil and Infrastructure Engineering, 2001, 16: 126–142
|
[27] |
Van Dao D, Ly H B, Trinh S H, Le T T, Pham B T. Artificial Intelligence Approaches for Prediction of Compressive Strength of Geopolymer Concrete. Materials (Basel), 2019, 12: 983
|
[28] |
Lu Z H, Zhao Y G. Empirical stress-strain model for unconfined high-strength concrete under uniaxial compression. Journal of Materials in Civil Engineering, 2010, 22(11): 1181–1186
CrossRef
Google scholar
|
[29] |
Bhargava K, Ghosh A K, Mori Y, Ramanujam S. Corrosion-induced bond strength degradation in reinforced concrete-Analytical and empirical models. Nuclear Engineering and Design, 2007, 237(11): 1140–1157
CrossRef
Google scholar
|
[30] |
Yaseen Z M, Keshtegar B, Hwang H J, Nehdi M L. Predicting reinforcing bar development length using polynomial chaos expansions. Engineering Structures, 2019, 195: 524–535
|
[31] |
Onyari E K, Ikotun B D. Prediction of compressive and flexural strengths of a modified zeolite additive mortar using artificial neural network. Construction & Building Materials, 2018, 187: 1232–1241
CrossRef
Google scholar
|
[32] |
Hamdia K M, Arafa M, Alqedra M. Structural damage assessment criteria for reinforced concrete buildings by using a Fuzzy Analytic Hierarchy process. Underground Space, 2018, 3: 243–249
CrossRef
Google scholar
|
[33] |
Anitescu C, Atroshchenko E, Alajlan N, Rabczuk T. Artificial neural network methods for the solution of second order boundary value problems. Computers, Materials and Continua 2019, 59(1): 345–359
CrossRef
Google scholar
|
[34] |
Hamdia K M, Ghasemi H, Zhuang X, Alajlan N, Rabczuk T. Computational machine learning representation for the flexoelectricity effect in truncated pyramid structures. Computers, Materials and Continua, 2019, 59(1): 79–87
CrossRef
Google scholar
|
[35] |
Jang J S R. ANFIS: Adaptive-network-based fuzzy inference system. IEEE Transactions on Systems, Man, and Cybernetics, 1993, 23: 665–685
CrossRef
Google scholar
|
[36] |
Yaseen Z M, Ramal M M, Diop L, Jaafar O, Demir V, Kisi O. Hybrid adaptive neuro-fuzzy models for water quality index estimation. Water Resources Management, 2018, 32: 2227–2245
CrossRef
Google scholar
|
[37] |
Yaseen Z M, Ghareb M I, Ebtehaj I, Bonakdari H, Ravinesh D, Siddique R, Heddam S, Yusif A A, Deo R. Rainfall pattern forecasting using novel hybrid intelligent model based ANFIS-FFA. Water Resources Management, 2017, 32(1): 105–122
|
[38] |
Moosavi V, Vafakhah M, Shirmohammadi B, Ranjbar M. Optimization of wavelet-ANFIS and wavelet-ANN hybrid models by taguchi method for groundwater level forecasting. Arabian Journal for Science and Engineering, 2012, 39(3): 1785–1796
CrossRef
Google scholar
|
[39] |
Kose U, Arslan A. Forecasting chaotic time series via anfis supported by vortex optimization algorithm: applications on electroencephalogram time series. Arabian Journal for Science and Engineering, 2017, 42(8): 3103–3114
CrossRef
Google scholar
|
[40] |
Khademi F, Jamal S M, Deshpande N, Londhe S. Predicting strength of recycled aggregate concrete using Artificial Neural Network, Adaptive Neuro-Fuzzy Inference System and Multiple Linear Regression. International Journal of Sustainable Built Environment, 2016, 5(2): 355–369
CrossRef
Google scholar
|
[41] |
Sadrmomtazi A, Sobhani J, Mirgozar M A. Modeling compressive strength of EPS lightweight concrete using regression, neural network and ANFIS. Construction & Building Materials, 2013, 42: 205–216
CrossRef
Google scholar
|
[42] |
Saridemir M. Predicting the compressive strength of mortars containing metakaolin by artificial neural networks and fuzzy logic. Advances in Engineering Software, 2009, 40(9): 920–927
CrossRef
Google scholar
|
[43] |
Sobhani J, Najimi M, Pourkhorshidi A R, Parhizkar T. Prediction of the compressive strength of no-slump concrete: A comparative study of regression, neural network and ANFIS models. Construction & Building Materials, 2010, 24: 709–718
CrossRef
Google scholar
|
[44] |
Madandoust R, Bungey J H, Ghavidel R. Prediction of the concrete compressive strength by means of core testing using GMDH-type neural network and ANFIS models. Computational Materials Science, 2012, 51(1): 261–272
CrossRef
Google scholar
|
[45] |
Ahmadi-Nedushan B. Prediction of elastic modulus of normal and high strength concrete using ANFIS and optimal nonlinear regression models. Construction & Building Materials, 2012, 36: 665–673
|
[46] |
Amani J, Moeini R. Prediction of shear strength of reinforced concrete beams using adaptive neuro-fuzzy inference system and artificial neural network. Scientia Iranica, 2012, 19: 242–248
CrossRef
Google scholar
|
[47] |
Taylan O, Darrab I A. Determining optimal quality distribution of latex weight using adaptive neuro-fuzzy modeling and control systems. Computers & Industrial Engineering, 2011, 61(3): 686–696
CrossRef
Google scholar
|
[48] |
Karaboga D, Kaya E. Training ANFIS by using an adaptive and hybrid artificial bee colony algorithm (aABC) for the identification of nonlinear static systems. Arabian Journal for Science and Engineering, 2019, 44: 3531–3547
|
[49] |
Al-Musawi A A, Alwanas A A H, Salih S Q, Ali Z H, Tran M T, Yaseen Z M. Shear strength of SFRCB without stirrups simulation: Implementation of hybrid artificial intelligence model. Engineering with Computers, 2018, 36(1): 1–11
CrossRef
Google scholar
|
[50] |
Jayaram M A, Nataraja M C, Ravi Kumar C N. Design of high performance concrete mixes through particle swarm optimization. Journal of Intelligent Systems, 2010, 19(3): 249–264
CrossRef
Google scholar
|
[51] |
Flint M, Grünewald S, Coenders J. Ant colony optimization for ultra high performance concrete structures. Designing and Building with UHPFRC, 2013, 4(9): 12164–12177
CrossRef
Google scholar
|
[52] |
Quaranta G, Fiore A, Marano G C. Optimum design of prestressed concrete beams using constrained differential evolution algorithm. Structural and Multidisciplinary Optimization, 2014, 49(3): 441–453
CrossRef
Google scholar
|
[53] |
Christiansen A D, Hernández F S. A simple genetic algorithm for the design of reinforced concrete beams. Engineering with Computers, 1997, 13(4): 185–196
CrossRef
Google scholar
|
[54] |
Yaseen Z M, Tran M T, Kim S, Bakhshpoori T, Deo R C. Shear strength prediction of steel fiber reinforced concrete beam using hybrid intelligence models: A new approach. Engineering Structures, 2018, 177: 244–255
CrossRef
Google scholar
|
[55] |
Ashrafian A, Shokri F, Amiri M J T, Yaseen Z M, Rezaie-Balf M. Compressive strength of Foamed Cellular Lightweight Concrete simulation: New development of hybrid artificial intelligence model. Construction & Building Materials, 2020, 230: 117048
|
[56] |
Bui Q T, Van Pham M, Nguyen Q H, Nguyen L X, Pham H M. Whale Optimization Algorithm and Adaptive Neuro-Fuzzy Inference System: A hybrid method for feature selection and land pattern classification. International Journal of Remote Sensing, 2019, 40: 1–16
|
[57] |
Jaafari A, Zenner E K, Panahi M, Shahabi H. 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
|
[58] |
Elbaz K, Shen S L, Zhou A, Yuan D J, Xu Y S. Optimization of EPB shield performance with adaptive neuro-fuzzy inference system and genetic algorithm. Applied Sciences (Basel, Switzerland), 2019, 9(4): 780–797
|
[59] |
Sari P A, Suhatril M, Osman N, Mu’azu M A, Katebi J, Abavisani A, Ghaffari N, Chahnasir E S, Wakil K, Khorami M, Petkovic D. Developing a hybrid adoptive neuro-fuzzy inference system in predicting safety of factors of slopes subjected to surface eco-protection techniques. Engineering with Computers, 2019, 36(4): 1347– 1354
|
[60] |
Kearsley E P, Wainwright P J. The effect of high fly ash content on the compressive strength of foamed concrete. Cement and Concrete Research, 2001, 31(1): 105–112
CrossRef
Google scholar
|
[61] |
Tikalsky P J, Pospisil J, MacDonald W. A method for assessment of the freeze-thaw resistance of preformed foam cellular concrete. Cement and Concrete Research, 2004, 34(5): 889–893
CrossRef
Google scholar
|
[62] |
Jones M R, McCarthy A. Preliminary views on the potential of foamed concrete as a structural material. Magazine of Concrete Research, 2005, 57(1): 21–31
CrossRef
Google scholar
|
[63] |
Pan Z, Hiromi F, Wee T. Preparation of high performance foamed concrete from cement, sand and mineral admixtures. Journal Wuhan University of Technology, Materials. Science Editor, 2007, 22(2): 295–298
CrossRef
Google scholar
|
[64] |
Sun H Y, Gong A M, Peng Y L, Wang X. The study of foamed concrete with polypropylene fiber and high volume fly ash. Applied Mechanics and Materials, 2011, 90–93: 1039–1043
CrossRef
Google scholar
|
[65] |
Abellan-Nebot J V, Subrión F R. A review of machining monitoring systems based on artificial intelligence process models. International Journal of Advanced Manufacturing Technology, 2009, 47(1–4): 237–257
CrossRef
Google scholar
|
[66] |
Yaseen Z, Ebtehaj I, Kim S, Sanikhani H, Asadi H, Ghareb M, Bonakdari H, Mohtar W H M W, Al-Ansari N, Shahid S. Novel hybrid data-intelligence model for forecasting monthly rainfall with uncertainty analysis. Water (Basel), 2019, 11: 502
CrossRef
Google scholar
|
[67] |
Naderpour H, Kheyroddin A, Amiri G G. Prediction of FRP-confined compressive strength of concrete using artificial neural networks. Composite Structures, 2010, 92(12): 2817–2829
CrossRef
Google scholar
|
[68] |
Naderpour H, Alavi S A. A proposed model to estimate shear contribution of FRP in strengthened RC beams in terms of Adaptive Neuro-Fuzzy Inference System. Composite Structures, 2017, 170: 215–227
CrossRef
Google scholar
|
[69] |
Demir F. A new way of prediction elastic modulus of normal and high strength concrete-fuzzy logic. Cement and Concrete Research, 2005, 35(8): 1531–1538
CrossRef
Google scholar
|
[70] |
Fullér R. Neural Fuzzy Systems. Turku: Abo Akademi University, 1995
CrossRef
Google scholar
|
[71] |
Eberhart R, Kennedy J. A new optimizer using particle swarm theory. In: MHS’95 Proceedings of the Sixth International Symposium on Micro Machine and Human Science. Nagoya: IEEE, 1995: 39–43
CrossRef
Google scholar
|
[72] |
Shi Y, Eberhart R C. Empirical study of particle swarm optimization. Evolutionary computation, 1999. CEC 99. In: Proceedings of the 1999 Congress. 1999, 1945–1950
|
[73] |
Dorigo M, Socha K. Ant Colony Optimization. Handbook of Approximation Algorithms and Metaheuristics. 2007
CrossRef
Google scholar
|
[74] |
Dorigo M, Di Caro G. Ant colony optimization: A new meta-heuristic. In: Proceedings of the 1999 Congress on Evolutionary Computation, CEC 1999. Washington, D.C.: IEEE,
CrossRef
Google scholar
|
[75] |
Merkle D, Middendorf M, Schmeck H. Ant colony optimization for resource-constrained project scheduling. IEEE Transactions on Evolutionary Computation, 2002, 6(4): 333–346
CrossRef
Google scholar
|
[76] |
Storn R, Price K. Differential evolution—A simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization, 1997, 11: 341–359
CrossRef
Google scholar
|
[77] |
Price K, Storn R M, Lampinen J A. Differential evolution: A practical approach to global optimization (natural computing Series). Journal of Heredity, 2005, 41(1): 124–130
CrossRef
Google scholar
|
[78] |
García-Martínez C, Rodriguez F J, Lozano M. Genetic Algorithms. Handbook of Heuristics. 2018
CrossRef
Google scholar
|
[79] |
Golberg D E. Genetic algorithms in search, optimization, and machine learning. Choice Reviews Online, 2013, 27(2): 301–315
CrossRef
Google scholar
|
[80] |
Harik G R, Lobo F G, Goldberg D E. The compact genetic algorithm. IEEE Transactions on Evolutionary Computation, 1999, 3(4): 287–297
CrossRef
Google scholar
|
[81] |
Shoorehdeli M A, Teshnehlab M, Sedigh A K. Novel hybrid learning algorithms for tuning ANFIS parameters using adaptive weighted PSO. In: 2007 IEEE International Fuzzy Systems Conference. London: IEEE, 2007, 1–6
|
[82] |
Yang H, Hasanipanah M, Tahir M M, Bui D T. Intelligent prediction of blasting-induced ground vibration using ANFIS optimized by GA and PSO. Natural Resources Research, 2019, 29: 1–12
|
[83] |
Marzi H, Haj Darwish A, Helfawi H. Training ANFIS using the enhanced Bees Algorithm and least squares estimation. Intelligent Automation & Soft Computing, 2017, 23: 227–234
|
[84] |
Alwanas A A H, Al-Musawi A A, Salih S Q, Tao H, Ali M, Yaseen Z M. Load-carrying capacity and mode failure simulation of beam-column joint connection: Application of self-tuning machine learning model. Engineering Structures, 2019, 194: 220–229
CrossRef
Google scholar
|
[85] |
Keshtegar B, Bagheri M, Yaseen Z M. Shear strength of steel fiber-unconfined reinforced concrete beam simulation: Application of novel intelligent model. Composite Structures, 2019, 212: 230–242
|
[86] |
Yaseen Z M, Awadh S M, Sharafati A, Shahid S. Complementary data-intelligence model for river flow simulation. Journal of Hydrology (Amsterdam), 2018, 567: 180–190
CrossRef
Google scholar
|
[87] |
Yaseen Z M, Ehteram M, Sharafati A, Shahid S, Al-Ansari N, El-Shafie A. The integration of nature-inspired algorithms with Least Square Support Vector regression models: Application to modeling river dissolved oxygen concentration. Water (Switzerland), 2018, 10(9): 1124–1131
CrossRef
Google scholar
|
[88] |
Al-Sudani Z A, Salih S Q, Yaseen Z M. Development of multivariate adaptive regression spline integrated with differential evolution model for streamflow simulation. Journal of Hydrology (Amsterdam), 2019, 573: 1–12
|
[89] |
Sharafati A, Tafarojnoruz A, Shourian M, Yaseen Z M. Simulation of the depth scouring downstream sluice gate: The validation of newly developed data-intelligent models. Journal of Hydro-environment Research, 2019, 29: 20–30
|
[90] |
Sharafati A, Khosravi K, Khosravinia P, Ahmed K, Salman S A, Yaseen Z M, Shahid S. The potential of novel data mining models for global solar radiation prediction. International Journal of Environmental Science and Technology, 2019, 16(11): 7147– 7164
CrossRef
Google scholar
|
[91] |
Sharafati A, Yasa R, Azamathulla H M. Assessment of stochastic approaches in prediction of wave-induced pipeline scour depth. Journal of Pipeline Systems Engineering and Practice, 2018, 9: 4018024
|
[92] |
Fazel Zarandi M H, Türksen I B, Sobhani J, Ramezanianpour A A. Fuzzy polynomial neural networks for approximation of the compressive strength of concrete. Applied Soft Computing, 2008, 8(1): 488–498
CrossRef
Google scholar
|
[93] |
Chou J S, Chiu C K, Farfoura M, Al-Taharwa I. Optimizing the prediction accuracy of concrete compressive strength based on a comparison of data-mining techniques. Journal of Computing in Civil Engineering, 2011, 25: 242–253
CrossRef
Google scholar
|
[94] |
Nikoo M, Torabian Moghadam F, Sadowski Ł. Prediction of concrete compressive strength by evolutionary artificial neural networks. Advances in Materials Science and Engineering, 2015, 2015: 1–8
|
[95] |
Vu-Bac N, Zhuang X, Rabczuk T. Uncertainty quantification for mechanical properties of polyethylene based on fully atomistic model. Materials (Basel), 2019, 12(21): 3613–3628
CrossRef
Google scholar
|
[96] |
Vu-Bac N, Rafiee R, Zhuang X, Lahmer T, Rabczuk T. Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters. Composites. Part B, Engineering, 2015, 68: 446–464
CrossRef
Google scholar
|
[97] |
Kozłowski M, Kadela M. Mechanical characterization of lightweight foamed concrete. Advances in Materials Science and Engineering, 2018, 2018: 1–8
CrossRef
Google scholar
|
[98] |
Vu-Bac N, Lahmer T, Zhuang X, Nguyen-Thoi T, Rabczuk T. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 2016, 100: 19–31
CrossRef
Google scholar
|
[99] |
Vu-Bac N, Lahmer T, Keitel H, Zhao J, Zhuang X, Rabczuk T. Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations. Mechanics of Materials, 2014, 68: 70–84
CrossRef
Google scholar
|
[100] |
Vu-Bac N, Duong T X, Lahmer T, Zhuang X, Sauer R A, Park H S, Rabczuk T. A NURBS-based inverse analysis for reconstruction of nonlinear deformations of thin shell structures. Computer Methods in Applied Mechanics and Engineering, 2018, 27(14): 713–715
CrossRef
Google scholar
|
[101] |
Vu-Bac N, Duong T X, Lahmer T, Areias P, Sauer R A, Park H S, Rabczuk T. A NURBS-based inverse analysis of thermal expansion induced morphing of thin shells. Computer Methods in Applied Mechanics and Engineering, 2019, 350: 480–510
CrossRef
Google scholar
|
[102] |
Salih S Q, Alsewari A A. A new algorithm for normal and large-scale optimization problems: Nomadic People Optimizer. Neural Computing & Applications, 2019, 32: 1–28
|
[103] |
Ghorbani M A, Deo R C, Yaseen Z M, Kashani M H. Pan evaporation prediction using a hybrid multilayer perceptron-firefly algorithm (MLP-FFA) model: Case study in North Iran. Theotetical and Applied Climatology, 2017, 133: 1119–1131
CrossRef
Google scholar
|
[104] |
Hamdia K M, Ghasemi H, Bazi Y, AlHichri H, Alajlan N, Rabczuk T. A novel deep learning based method for the computational material design of flexoelectric nanostructures with topology optimization. Finite Elements in Analysis and Design, 2019, 165: 21–30
CrossRef
Google scholar
|
[105] |
Guo H, Zhuang X, Rabczuk T. A deep collocation method for the bending analysis of Kirchhoff plate. Computers, Materials and Continua, 2019, 59(2): 433–456
CrossRef
Google scholar
|
/
〈 | 〉 |