Abstract
In the present study, the Vickers microhardness profile of ferritic and austenitic functionally graded steel produced by electroslag remelting process has been modeled by adaptive network-based fuzzy inference system (ANFIS). To produce functionally graded steels, a spot-welded electrode that consists of two slices of plain carbon steel and austenitic stainless steel was used. Functionally graded steel containing graded layers of ferrite and austenite may be fabricated via diffusion of alloying elements during remelting stage. Vickers microhardness profile of the specimen has been obtained experimentally and modeled with ANFIS. To build the model for graded ferritic and austenitic steels, training, testing and validation using, respectively, 174 and 120 experimental data were conducted. According to the input parameters, the Vickers microhardness of each layer was predicted. The training, testing and validation results in the ANFIS models have shown a strong potential for predicting microhardness profile of both graded ferritic and austenitic steels. It was shown that the Vickers microhardness can be predicted by ANFIS in the range of the examined data.
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25 August 2020
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References
Sankar BV (2001) An elasticity solution for functionally graded beams. Compos Sci Technol 61:689–696
Jin ZH, Paulino GH, Dodds RH Jr (2003) Cohesive fracture modeling of elastic–plastic crack growth in functionally graded materials. Eng Fract Mech 70:1885–1912
Carpenter RD, Liang WW, Paulino GH, Gibeling JC, Munir ZA (1999) Fracture testing and analysis of a layered functionally graded Ti/TiB beam in 3-point bending. Mater Sci Forum 308–311:837–842
Williamson RL, Rabin BH, Drake JT (1993) Finite element analysis of thermal residual stresses at graded ceramic-metal interfaces. J Appl Phys 74:1310–1320
Giannakopoulos AE, Suresh S, Finot M, Olsson M (1995) Elastoplastic analysis of thermal cycling: layered materials with compositional gradients. Acta Metall Mater 43:1335–1354
Kolednik O (2000) The yield stress gradient effect in inhomogeneous materials. Int J Sol Struct 37(5):781–808
Aghazadeh Mohandesi J, Shahosseinie MH (2005) Transformation characteristics of functionally graded steels produced by electroslag remelting. Metall Mater Trans A 36A:3471–3476
Aghazadeh Mohandesi J, Shahosseinie MH, Parastar Namin R (2006) Tensile behavior of functionally graded steels produced by electroslag remelting. Metall Mater Trans 37A:2125–2132
Nazari A, Aghazadeh Mohandesi J (2010) Modelling impact resistance of functionally graded steels with crack divider configuration. Mater Sci Technol 26:1377–1383
Nazari A, Aghazadeh Mohandesi J (2009) Impact energy of functionally graded steels with crack divider configuration. J Mater Sci Technol 25(6):847–852
Nazari A, Aghazadeh Mohandesi J, Riahi S (2010) Modeling impact energy of functionally graded steels in crack divider configuration using modified stress-strain curve data. Int J Damage Mech. doi:10.1177/1056789510397073
Nazari A, Aghazadeh Mohandesi J, Hamid Vishkasogheh M, Abedi M (2011) Simulation of impact energy in functionally graded steels. Comput Mater Sci 50:1187–1196
Nazari A, Aghazadeh Mohandesi J (2010) Impact energy of functionally graded steels in crack arrester configuration. J Mater Eng Perform 19:1058–1064
Nazari A, Milani AA, Zakeri M (2011) Modeling ductile to brittle transition temperature of functionally graded steels by artificial neural networks. Comput Mater Sci 50:2028–2037
Nazari A, Milani AA (2011) Ductile to brittle transition temperature of functionally graded steels. Int J Damage Mech. doi:10.1177/1056789511398270
Nazari A, Milani AA (2011) Modeling ductile-to-brittle transition temperature of functionally graded steels by gene expression programming. Int J Damage Mech. doi:10.1177/1056789511406561
Nazari A, Milani AA (2011) Ductile to brittle transition temperature of functionally graded steels with crack arrester configuration. Mater Sci Eng A 528:3854–3859
Nazari A, Milani AA (2011) Modeling ductile to brittle transition temperature of functionally graded steels by fuzzy logic. J Mater Sci 46:6007–6017
Nazari A, Aghazadeh Mohandesi J, Riahi S (2011) Modified modeling fracture toughness of functionally graded steels in crack divider configuration. Int J Damage Mech 20:811–831
Aghazadeh Mohandesi J, Nazari A, Hamid Vishkasogheh M, Abedi M (2010) Modeling fracture toughness of functionally graded steels in crack divider configuration. Model Simul Mater Sci Eng 18:075007
Nazari A, Aghazadeh Mohandesi J, Riahi S (2011) Fracture toughness of functionally graded steels. J Mater Eng Perform. doi:10.1007/s11665-011-9945-9
Nazari A, Aghazadeh Mohandesi J, Riahi S (2011) Modeling fracture toughness of functionally graded steels in crack arrester configuration. Comput Mater Sci 50:1578–1586
Nazari A, Aghazadeh Mohandesi J (2011) Modeling tensile strength of oblique layer functionally graded austenitic steel. Comput Mater Sci 50:1425–1431
Nazari A, Riahi S (2010) Effect of layer angle on tensile behavior of oblique layer functionally graded steels. Turk J Eng Environ Sci 34:17–24
Nazari A, Aghazadeh Mohandesi J, Tavareh S (2011) Microhardness profile prediction of a graded steel by strain gradient plasticity theory. Comput Mater Sci 50:1781–1784
Nazari A, Aghazadeh Mohandesi J, Tavareh S (2011) Modeling tensile strength of austenitic graded steel based on the strain gradient plasticity theory. Comput Mater Sci 50:1791–1794
Nazari A, Mojtahed Najafi SM (2011) Prediction Charpy impact energy of bcc and fcc functionally graded steels in crack divider configuration by strain gradient plasticity theory. Comput Mater Sci 50:3178–3183
Nazari A, Mojtahed Najafi SM (2011) Prediction impact behavior of functionally graded steel by strain gradient plasticity theory. Comput Mater Sci 50:3218–3223
Nazari A (2011) Modeling Charpy impact energy of functionally graded steel based on the strain gradient plasticity theory and modified stress–strain curve data. Comput Mater Sci 50:3350–3357
Nazari A (2011) Application of strain gradient plasticity theory to model Charpy impact energy of functionally graded steels. Comput Mater Sci 50:3410–3416
Nazari A (2011) Strain gradient plasticity theory to predict the input data for modeling Charpy impact energy in functionally graded steels. Comput Mater Sci 50:3442–3449
Nazari A (2012) Simulation of impact energy in functionally graded steels by mechanism-based strain gradient plasticity theory. Comput Mater Sci 51:13–19
Nazari A (2011) Simulation Charpy impact energy of functionally graded steels by modified stress–strain curve through mechanism-based strain gradient plasticity theory. Comput Mater Sci 51:225–232
Nazari A (2012) Application of strain gradient plasticity theory to model Charpy impact energy of functionally graded steels using modified stress–strain curve data. Comput Mater Sci 51:281–289
Nazari A (2011) Modeling fracture toughness of ferritic and austenitic functionally graded steel based on the strain gradient plasticity theory. Comput Mater Sci 50:3238–3244
Nazari A (2011) Strain gradient plasticity theory for modeling JIC of functionally graded steels. Comput Mater Sci 50:3403–3409
Nazari A, Riahi S (2010) Computer-aided prediction of physical and mechanical properties of high strength cementitious composite containing Cr2O3 nanoparticles. Nano 5(5):301–318
Nazari A, Riahi S (2011) Prediction split tensile strength and water permeability of high strength concrete containing TiO2 nanoparticles by artificial neural network and genetic programming. Compos Part B Eng 42:473–488
Nazari A, Riahi S (2011) Computer-aided design of the effects of Fe2O3 nanoparticles on split tensile strength and water permeability of high strength concrete. Mater Des 32:3966–3979
Nazari A, Didehvar N (2011) Modeling impact resistance of aluminum-epoxy laminated composites by ANFIS. Compos Part B Eng 42:1912–1919
Jang JSR (1993) ANFIS: adaptive-network-based fuzzy inference system. IEEE Trans Syst Man Cyber 23(3):665–685
Sarldemir M (2009) Predicting the compressive strength of mortars containing metakaolin by artificial neural networks and fuzzy logic. Adv Eng Soft 40(9):920–927
Topcu IB, Sarldemir M (2008) Prediction of mechanical properties of recycled aggregate concretes containing silica fume using artificial neural networks and fuzzy logic. Comp Mater Sci 42(1):74–82
Jang JSR, Sun CT (1995) Nuro-fuzzy modeling and control. Proc IEEE 83(3):378–406
Guzelbey IH, Cevik A, Erklig A (2006) Prediction of web crippling strength of cold-formed steel sheetings using neural networks. J Constr Steel Res 62:962–973
Guzelbey IH, Cevik A, Gögüs MT (2006) Prediction of rotation capacity of wide flange beams using neural networks. J Constr Steel Res 62:950–961
Cevik A, Guzelbey IH (2008) Neural network modeling of strength enhancement for Cfrp confined concrete cylinders. Build Environ 43:751–763
Cevik A, Guzelbey IH (2007) A soft computing based approach for the prediction of ultimate strength of metal plates in compression. Eng Struct 29(3):383–394
Ramezanianpour AA, Sobhani M, Sobhani J (2004) Application of network based neuro-fuzzy system for prediction of the strength of high strength concrete. Amirkabir J Sci Technol 5(59-C):78–93
Ramezanianpour AA, Sobhani J, Sobhani M (2004) Application of an adaptive neurofuzzy system in the prediction of HPC compressive strength. In: Proceedings of the fourth international conference on engineering computational technology. Civil-Comp Press, Lisbon
Topcu IB, Sarldemir M (2008) Prediction of compressive strength of concrete containing fly ash using artificial neural network and fuzzy logic. Comp Mater Sci 41(3):305–311
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Bohlooli, H., Nazari, A. & Kaykha, M.M. RETRACTED ARTICLE: Prediction microhardness profile of functionally graded steels by ANFIS. Neural Comput & Applic 22, 847–858 (2013). https://doi.org/10.1007/s00521-011-0775-3
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DOI: https://doi.org/10.1007/s00521-011-0775-3