Structural Engineering and Mechanics

  • 제51권4호
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  • Pages.627-641
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  • 2014
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Application the mechanism-based strain gradient plasticity theory to model the hot deformation behavior of functionally graded steels

  • Salavati, Hadi (Department of Mechanical Engineering, Amirkabir University of Technology) ;
  • Alizadeh, Yoness (Department of Mechanical Engineering, Amirkabir University of Technology) ;
  • Berto, Filippo (Department of Management and Engineering, University of Padova)
  • 투고 : 2013.07.26
  • 심사 : 2014.05.27
  • 발행 : 2014.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

Functionally graded steels (FGSs) are a family of functionally graded materials (FGMs) consisting of ferrite (${\alpha}$), austenite (${\gamma}$), bainite (${\beta}$) and martensite (M) phases placed on each other in different configurations and produced via electroslag remelting (ESR). In this research, the flow stress of dual layer austenitic-martensitic functionally graded steels under hot deformation loading has been modeled considering the constitutive equations which describe the continuous effect of temperature and strain rate on the flow stress. The mechanism-based strain gradient plasticity theory is used here to determine the position of each layer considering the relationship between the hardness of the layer and the composite dislocation density profile. Then, the released energy of each layer under a specified loading condition (temperature and strain rate) is related to the dislocation density utilizing the mechanism-based strain gradient plasticity theory. The flow stress of the considered FGS is obtained by using the appropriate coefficients in the constitutive equations of each layer. Finally, the theoretical model is compared with the experimental results measured in the temperature range $1000-1200^{\circ}C$ and strain rate 0.01-1 s-1 and a sound agreement is found.

키워드

참고문헌

  1. Shadlou, S., Alishahi, E. and Ayatollahi, M.R. (2013), "Fracture behavior of epoxy nanocomposites reinforced with different carbon nano-reinforcements" Compos. Struct., 95(1), 577-581. https://doi.org/10.1016/j.compstruct.2012.08.002
  2. Ayatollahi, M.R. and Hashemi, R. (2007), "Mixed mode fracture in an inclined center crack repaired by composite patching" Compos. Struct., 2 (81), 264-273.
  3. Ayatollahi, M.R., Shadlou, S. and Shokrieh, M.M. (2011), "Multiscale modeling for mechanical properties of carbon nanotube reinforced nano-composites subjected to different types of loading" Compos. Struct., 93(9), 2250-2259. https://doi.org/10.1016/j.compstruct.2011.03.013
  4. Chung, Y.L., and Chen, W.T., (2007), "Bending behavior of FGM-coated and FGM-undercoated plates with two simply supported opposite edges and two free edges" Compos. Struct., 81(2), 157-167. https://doi.org/10.1016/j.compstruct.2006.08.006
  5. Golmakani, M.E. and Kadkhodayan, M. (2011), "Nonlinear bending analysis of annular FGM plates using higher-order shear deformation plate theories" Compos. Struct., 93(1), 973-982. https://doi.org/10.1016/j.compstruct.2010.06.024
  6. Ghannad, M., Zamani Nejad, G., Rahimi, H. and Sabouri, H. (2012), "Elastic analysis of pressurized thick truncated conical shells made of functionally graded materials" Struct. Eng. Mech., 43(1), 105-126. https://doi.org/10.12989/sem.2012.43.1.105
  7. Foroutan, M., Moradi-Dastjerdi, R. and Sotoodeh-Bahreini, R. (2012), "Static analysis of FGM cylinders by a mesh-free method" Steel Compos. Struct., 12(1), 1-11. https://doi.org/10.12989/scs.2012.12.1.001
  8. Li, W., Sakai, T., Li, Q., Lu, L.T. and Wang, P. (2011), "Effect of loading type on fatigue properties of high strength bearing steel in very high cycle regime" Mater. Sci. Eng. A., 528(15), 5044-5052. https://doi.org/10.1016/j.msea.2011.03.020
  9. Lin, Y.C., Xia, Y.C., Chen, X.M. and Chen, M.S. (2010), "A new method to predict the metadynamic recrystallization behaviors in 2124 aluminium alloy" Comput. Mater. Sci., 50(7), 227-233. https://doi.org/10.1016/j.commatsci.2010.08.003
  10. Ma, W.F., Kou, H.C., Li, J.S., Chang, H. and Zhou, L. (2009), "Effect of strain rate on compressive behavior of Ti-based bulk metallic glass at room temperature" J. Alloys Compd., 472(1-2), 214-218. https://doi.org/10.1016/j.jallcom.2008.04.043
  11. Shahani, A.R., Setayeshi, S., Nodamaie, S.A., Asadi, M.A. and Rezaie, S. (2009), "Prediction of influence parameters on the hot rolling process using finite element method and neural network" J. Mater. Proc. Technol., 209(4), 1920-1935. https://doi.org/10.1016/j.jmatprotec.2008.04.055
  12. Mandal, S., Rakesh, V., Sivaprasad, P.V., Venugopal, S. and Kasiviswanathan, K.V. (2009), "Constitutive equations to predict high temperature flow stress in a Ti-modified austenitic stainless steel" Mater. Sci. Eng. A., 500(1-2), 114-121. https://doi.org/10.1016/j.msea.2008.09.019
  13. Momeni, A. and Dehghani, K. (2011), "Hot working behavior of 2205 austenite-ferrite duplex stainless steel characterized by constitutive equations and processing maps" Mater. Sci. Eng. A., 528(3), 1448-1454. https://doi.org/10.1016/j.msea.2010.11.020
  14. Spigarelli, S., Mehtedi, M.E., Ricci, P. and Mapelli, C. (2010), "Constitutive equations for prediction of the flow behaviour of duplex stainless steels" Mater. Sci. Eng. A., 527(16-17), 4218-4228. https://doi.org/10.1016/j.msea.2010.03.029
  15. Shao, J.C., Xiao, B.L., Wang, Q.Z., Ma, Z.Y., Liu, Y. and Yang, K. (2010), "Constitutive flow behavior and hot workability of powder metallurgy processed 20 vol. %SiCP/2024Al composite" Mater. Sci. Eng. A., 527(29-30), 7865-7872. https://doi.org/10.1016/j.msea.2010.08.080
  16. Mirzadeh, H. and Najafizadeh, A. (2010), "Flow stress prediction at hot working conditions" Mater. Sci. Eng. A., 527(4-5), 1160-1164. https://doi.org/10.1016/j.msea.2009.09.060
  17. Lin, Y.C., Chen, M.S. and Zhong, J. (2008), "Constitutive modeling for elevated temperature flow behavior of 42CrMo steel" Comp. Mat. Sci., 42, 470-477. https://doi.org/10.1016/j.commatsci.2007.08.011
  18. Lin, Y.C. and Chen, X.M. (2011), "A critical review of experimental results and constitutive descriptions for metals and alloys in hot working" Mater. Des., 32, 1733-1759. https://doi.org/10.1016/j.matdes.2010.11.048
  19. Lin, Y.C., Li, L.T and Jiang, Y.Q. (2012), "A phenomenological constitutive model for describing thermoviscoplastic behavior of Al-Zn-Mg-Cu alloy under hot working condition" Exp. Mech., 52, 993-1002. https://doi.org/10.1007/s11340-011-9546-4
  20. Fang, Y.L., Liu, Z.Y., Song, H.M. and Jiang, L.Z. (2009), "Hot deformation behavior of a new austeniteferrite duplex stainless steel containing high content of nitrogen" Mater. Sci. Eng. A., 526(1-2), 128-133. https://doi.org/10.1016/j.msea.2009.07.012
  21. Vo, P., Jahazi, M., Yue, S. and Bocher, P. (2007), "Flow stress prediction during hot working of near-$\alpha$ titanium alloys" Mater. Sci. Eng. A., 447(1-2), 99-110. https://doi.org/10.1016/j.msea.2006.10.032
  22. Ju, D.Y., Zhang, W.M. and Zhang, Y. (2006), "Modeling and experimental verification of martensitic transformation plastic behavior in carbon steel for quenching process" Mater. Sci. Eng. A, Proceedings of the International Conference on Martensitic Transformations., 438-440, 246-250.
  23. Aghazadeh Mohandesi, J., Parastar Namin, R. and Shahossinie, M.H. (2006), "Tensile behavior of functionally graded steels produced by electroslag remelting" Met. Mater. Trans. A., 37(7), 2125-2132. https://doi.org/10.1007/BF02586133
  24. Nazari, A., Aghazadeh Mohandesi, J. and Tavareh, S. (2011), "Microhardness profile prediction of a graded steel by strain gradient plasticity theory" Comput. Mater. Sci., 50(5), 1781-1784. https://doi.org/10.1016/j.commatsci.2011.01.014
  25. Nazari, A., Aghazadeh Mohandesi, J. and Tavareh, S. (2011), "Modeling tensile strength of austenitic graded steel based on the strain gradient plasticity theory" Comput. Mater. Sci., 50(5), 1791-1794. https://doi.org/10.1016/j.commatsci.2011.01.016
  26. Samareh Salavati Pour, H., Berto, F. and Alizadeh, Y. (2013), "A new analytical expression for the relationship between the Charpy impact energy and notch tip position for functionally graded steels" Acta. Met. Sin. (Eng. Letter.), 10(3), 232-240.
  27. Abolghasemzadeh, M., Samareh Salavati Pour, H., Berto, F. and Alizadehm Y. (2013), "Modeling of flow stress of bainitic and ma;rtensitic functionally graded steels under hot compression" Mater. Sci. Eng. A., 534(1), 329-338.
  28. Majzoobi, G.H., Freshteh-Saniee, F., Faraj Zadeh Khosroshahi, S. and Beik Mohammadloo, H. "Determination of materials parameters under dynamic loading. Part I: experiments and simulations" Comput. Mater. Sci., 49(2), 192-200.

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