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Erschienen in: Archive of Applied Mechanics 10/2018

18.06.2018 | Original

A novel approach to calibrate the Drucker–Prager Cap model for Al7075 powder

verfasst von: A. Atrian, G. H. Majzoobi, B. Markert, S. H. Nourbakhsh

Erschienen in: Archive of Applied Mechanics | Ausgabe 10/2018

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Abstract

Determination of the parameters of modified Drucker–Prager Cap (DPC) constitutive model for Al7075 powder is investigated in this work. The parameters are normally identified by experiment which is time consuming, tedious and expensive. In this study, the constants of DPC model are identified by conducting only a simple uniaxial powder compaction test, using finite element (FE) simulations in ABAQUS/standard, and utilizing artificial neural networks (ANN). The relation between the Young’s modulus (E) and relative density of the powder was incorporated in ABAQUS code using a USDFLD user-defined subroutine. In the proposed approach, the neural networks are trained to predict the DPC parameters in a way to minimize the differences between experimental and FE curves of uniaxial powder compaction. The input parameters of the ANN were features of uniaxial powder compaction load–displacement curve. A reasonable agreement was observed between the experimental and numerical load–displacement curves of the powder compaction for the DPC parameters predicted by ANN. Moreover, the accuracy of this DPC model was verified again in compaction of a bush-type sample.

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Literatur
1.
Zurück zum Zitat Upadhyaya, G.S.: Powder Metallurgy Technology. Cambridge International Science Publishing, Cambridge (2002) Upadhyaya, G.S.: Powder Metallurgy Technology. Cambridge International Science Publishing, Cambridge (2002)
7.
Zurück zum Zitat Atrian, A., Nourbakhsh, S.H.: Mechanical behavior of Al–SiCnp nanocomposite fabricated by hot extrusion technique. Int. J. Adv. Des. Manuf. Technol. 11(1), 33–41 (2018) Atrian, A., Nourbakhsh, S.H.: Mechanical behavior of Al–SiCnp nanocomposite fabricated by hot extrusion technique. Int. J. Adv. Des. Manuf. Technol. 11(1), 33–41 (2018)
8.
9.
Zurück zum Zitat Lu, C.: Determination of Cap Model Parameters using Numerical Optimization Method for Powder Compaction. Marquette University, Milwaukee (2010) Lu, C.: Determination of Cap Model Parameters using Numerical Optimization Method for Powder Compaction. Marquette University, Milwaukee (2010)
11.
Zurück zum Zitat Khoei, A.R.: Computational Plasticity in Powder Forming Processes. Elsevier, Amsterdam (2005) Khoei, A.R.: Computational Plasticity in Powder Forming Processes. Elsevier, Amsterdam (2005)
12.
Zurück zum Zitat Khoei, A.R., Biabanaki, S.O.R., Parvaneh, S.M.: Dynamic modeling of powder compaction processes via a simple contact algorithm. Int. J. Mech. Sci. 64(1), 196–210 (2012)CrossRef Khoei, A.R., Biabanaki, S.O.R., Parvaneh, S.M.: Dynamic modeling of powder compaction processes via a simple contact algorithm. Int. J. Mech. Sci. 64(1), 196–210 (2012)CrossRef
14.
Zurück zum Zitat Cola, F.D., Pellegrino, A., Barbieri, E., Penumadu, D., Petrinic, N.: Void ratio based representative volume element for modelling the high strain rate behaviour of granular materials. Int. J. Impact Eng. 91, 46–55 (2016)CrossRef Cola, F.D., Pellegrino, A., Barbieri, E., Penumadu, D., Petrinic, N.: Void ratio based representative volume element for modelling the high strain rate behaviour of granular materials. Int. J. Impact Eng. 91, 46–55 (2016)CrossRef
15.
Zurück zum Zitat Zhang, Y.X., An, X.Z., Zhang, Y.L.: Multi-particle FEM modeling on microscopic behavior of 2D particle compaction. Appl. Phys. A 118, 1015–1021 (2015)CrossRef Zhang, Y.X., An, X.Z., Zhang, Y.L.: Multi-particle FEM modeling on microscopic behavior of 2D particle compaction. Appl. Phys. A 118, 1015–1021 (2015)CrossRef
16.
Zurück zum Zitat Liu, X., Martin, C.L., Delette, G., Laurencin, J., Bouvard, D., Delahaye, T.: Microstructure of porous composite electrodes generated by the discrete element method. J. Power Sources 196, 2046–2054 (2011)CrossRef Liu, X., Martin, C.L., Delette, G., Laurencin, J., Bouvard, D., Delahaye, T.: Microstructure of porous composite electrodes generated by the discrete element method. J. Power Sources 196, 2046–2054 (2011)CrossRef
17.
Zurück zum Zitat LEE, K.-H., LEE, J.-M., KIM, B.-M.: Densification simulation of compacted Al powders using multi-particle finite element method. Trans. Nonferrous Met. Soc. China 19, s68–s75 (2009)CrossRef LEE, K.-H., LEE, J.-M., KIM, B.-M.: Densification simulation of compacted Al powders using multi-particle finite element method. Trans. Nonferrous Met. Soc. China 19, s68–s75 (2009)CrossRef
19.
Zurück zum Zitat Han, L.H., Elliott, J.A., Bentham, A.C., Mills, A., Amidon, G.E., Hancock, B.C.: A modified Drucker–Prager Cap model for die compaction simulation of pharmaceutical powders. Int. J. Solids Struct. 45, 3088–3106 (2008)CrossRef Han, L.H., Elliott, J.A., Bentham, A.C., Mills, A., Amidon, G.E., Hancock, B.C.: A modified Drucker–Prager Cap model for die compaction simulation of pharmaceutical powders. Int. J. Solids Struct. 45, 3088–3106 (2008)CrossRef
20.
Zurück zum Zitat Pan, J.L., Selby, A.R.: Simulation of dynamic compaction of loose granular soils. Adv. Eng. Softw. 33, 631–640 (2002)CrossRef Pan, J.L., Selby, A.R.: Simulation of dynamic compaction of loose granular soils. Adv. Eng. Softw. 33, 631–640 (2002)CrossRef
26.
Zurück zum Zitat Bai, Y., Wierzbicki, T.: Application of extended Mohr–Coulomb criterion to ductile fracture. Int. J. Fract. 161, 1–20 (2010)CrossRef Bai, Y., Wierzbicki, T.: Application of extended Mohr–Coulomb criterion to ductile fracture. Int. J. Fract. 161, 1–20 (2010)CrossRef
28.
Zurück zum Zitat Helvany, S.: Applied Soil Mechanics with ABAQUS Applications. Wiley, New York (2007)CrossRef Helvany, S.: Applied Soil Mechanics with ABAQUS Applications. Wiley, New York (2007)CrossRef
29.
Zurück zum Zitat ABAQUS 6-10 documentation (2010) Dassault Systemes ABAQUS 6-10 documentation (2010) Dassault Systemes
30.
31.
Zurück zum Zitat Wu, Y., Kim, G.-Y.: Compaction behavior of Al6061 powder in the semi-solid state. Powder Technol. 214, 252–258 (2011)CrossRef Wu, Y., Kim, G.-Y.: Compaction behavior of Al6061 powder in the semi-solid state. Powder Technol. 214, 252–258 (2011)CrossRef
32.
Zurück zum Zitat Bier, W., Hartmann, S.: A finite strain constitutive model for metal powder compaction using a unique and convex single surface yield function. Eur. J. Mech. A Solids 25, 1009–1030 (2006)CrossRef Bier, W., Hartmann, S.: A finite strain constitutive model for metal powder compaction using a unique and convex single surface yield function. Eur. J. Mech. A Solids 25, 1009–1030 (2006)CrossRef
33.
Zurück zum Zitat Coube, O., Riedel, H.: Numerical simulation of metal powder die compaction with special consideration of cracking. Powder Metall. 43(2), 123–131 (2000)CrossRef Coube, O., Riedel, H.: Numerical simulation of metal powder die compaction with special consideration of cracking. Powder Metall. 43(2), 123–131 (2000)CrossRef
37.
Zurück zum Zitat Hrairi, M., Chtourou, H., Gakwaya, A., Guillot, M.: Modeling the powder compaction process using the finite element method and inverse optimization. Int. J. Adv. Manuf. Technol. 56, 631–647 (2011)CrossRef Hrairi, M., Chtourou, H., Gakwaya, A., Guillot, M.: Modeling the powder compaction process using the finite element method and inverse optimization. Int. J. Adv. Manuf. Technol. 56, 631–647 (2011)CrossRef
39.
Zurück zum Zitat Selig, S.G.: Finite Element Simulation of the Compaction and Springback of an Aluminum Powder Metallurgy Alloy. Dalhousie University, Halifax (2012) Selig, S.G.: Finite Element Simulation of the Compaction and Springback of an Aluminum Powder Metallurgy Alloy. Dalhousie University, Halifax (2012)
43.
Zurück zum Zitat Kasabov, N.K.: Foundations of Neural Networks, Fuzzy Systems, and Knowledge Engineering, Computational Intelligence. The MIT Press, Cambridge (1998) Kasabov, N.K.: Foundations of Neural Networks, Fuzzy Systems, and Knowledge Engineering, Computational Intelligence. The MIT Press, Cambridge (1998)
45.
Zurück zum Zitat Jannesari, S.: Determination of the Constant of Cap model for Aluminum by a Combined Experimental/ Numerical/ Optimization Technique. Bu-Ali Sina University, Hamedan (2014) Jannesari, S.: Determination of the Constant of Cap model for Aluminum by a Combined Experimental/ Numerical/ Optimization Technique. Bu-Ali Sina University, Hamedan (2014)
46.
Zurück zum Zitat Chakrabarty, J.: Theory of Plasticity, 3rd edn. Elsevier, Amsterdam (2006)MATH Chakrabarty, J.: Theory of Plasticity, 3rd edn. Elsevier, Amsterdam (2006)MATH
47.
Zurück zum Zitat Wagle, G.S.: Die Compaction Simulation: Simplifying the Application of a Complex Constitutive Model Using Numerical and Physical Experiments. The Pennsylvania State University, State College (2006) Wagle, G.S.: Die Compaction Simulation: Simplifying the Application of a Complex Constitutive Model Using Numerical and Physical Experiments. The Pennsylvania State University, State College (2006)
48.
Zurück zum Zitat Behrens, B.A., Vahed, N., Kammler, M.: Functionalisation of PM components by integration of inherent data carriers and sensory elements. Paper Presented at the 1st Joint International Symposium on System-Integrated Intelligence 2012: New Challenges for Product and Production Engineering (2012) Behrens, B.A., Vahed, N., Kammler, M.: Functionalisation of PM components by integration of inherent data carriers and sensory elements. Paper Presented at the 1st Joint International Symposium on System-Integrated Intelligence 2012: New Challenges for Product and Production Engineering (2012)
50.
Zurück zum Zitat Lee, S.C., Kim, K.T.: Densification behavior of aluminum alloy powder under cold compaction. Int. J. Mech. Sci. 44, 1295–1308 (2002)CrossRef Lee, S.C., Kim, K.T.: Densification behavior of aluminum alloy powder under cold compaction. Int. J. Mech. Sci. 44, 1295–1308 (2002)CrossRef
51.
Zurück zum Zitat Soltani, M., Atrian, A.: High temperature tensile behavior and microstructure of Al–SiC nanocomposite fabricated by mechanical milling and hot extrusion technique. Mater. Res. Express 5, 025026 (2018)CrossRef Soltani, M., Atrian, A.: High temperature tensile behavior and microstructure of Al–SiC nanocomposite fabricated by mechanical milling and hot extrusion technique. Mater. Res. Express 5, 025026 (2018)CrossRef
52.
Zurück zum Zitat Sattari, S., Atrian, A.: Investigation of deep rolling effects on the fatigue life of Al–SiC nanocomposite. Mater. Res. Express 5(1), 015052 (2018)CrossRef Sattari, S., Atrian, A.: Investigation of deep rolling effects on the fatigue life of Al–SiC nanocomposite. Mater. Res. Express 5(1), 015052 (2018)CrossRef
53.
Zurück zum Zitat Kwon, Y.-S., Chung, S.-H., Sanderow, H.I., Kim, K.: German RM numerical analysis and optimization of die compaction process. In: International Conference on Powder Metallurgy and Particulate Materials, pp. 24–36 (2003) Kwon, Y.-S., Chung, S.-H., Sanderow, H.I., Kim, K.: German RM numerical analysis and optimization of die compaction process. In: International Conference on Powder Metallurgy and Particulate Materials, pp. 24–36 (2003)
54.
Zurück zum Zitat Wagle, G.S., Engel, R.S., Bollina, R., German, R.M.: Statistical analysis of modified Drucker–Prager Cap model parameters for application to modeling die compaction. In: International Conference on Powder Metallurgy and Particulate Materials, Las Vegas, NV, pp. 24–36 (2003) Wagle, G.S., Engel, R.S., Bollina, R., German, R.M.: Statistical analysis of modified Drucker–Prager Cap model parameters for application to modeling die compaction. In: International Conference on Powder Metallurgy and Particulate Materials, Las Vegas, NV, pp. 24–36 (2003)
55.
Zurück zum Zitat Cunningham, J.C., Sinka, C., Zavaliangos, A.: Analysis of tablet compaction. I. Characterization of mechanical behavior of powder and powder/tooling friction. J. Pharm. Sci. 93(8), 2022–2039 (2004)CrossRef Cunningham, J.C., Sinka, C., Zavaliangos, A.: Analysis of tablet compaction. I. Characterization of mechanical behavior of powder and powder/tooling friction. J. Pharm. Sci. 93(8), 2022–2039 (2004)CrossRef
56.
Zurück zum Zitat Gethin, D.T., Tran, V.D., Lewis, R.W., Ariffin, A.K.: Investigation of powder compaction processes. Int. J. Powder Metall. 30(4), 385–398 (1994) Gethin, D.T., Tran, V.D., Lewis, R.W., Ariffin, A.K.: Investigation of powder compaction processes. Int. J. Powder Metall. 30(4), 385–398 (1994)
57.
Zurück zum Zitat Kamruzzaman, J., Begg, R.K., Sarker, R.A.: Artificial Neural Networks in Finance and Manufacturing. Idea Group Publishing, Hershey (2006)CrossRef Kamruzzaman, J., Begg, R.K., Sarker, R.A.: Artificial Neural Networks in Finance and Manufacturing. Idea Group Publishing, Hershey (2006)CrossRef
Metadaten
Titel
A novel approach to calibrate the Drucker–Prager Cap model for Al7075 powder
verfasst von
A. Atrian
G. H. Majzoobi
B. Markert
S. H. Nourbakhsh
Publikationsdatum
18.06.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 10/2018
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-018-1410-x

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