Skip to main content
Erschienen in: Journal of Materials Engineering and Performance 2/2020

10.02.2020

Identification of Multiple Parameters of the Bammann–Chiesa–Johnson Constitutive Model with Comprehensive Experiments for Pure Aluminum

verfasst von: Tingting Zhou, Gang Wang, Yang Yang, Yao Li, Maobing Shuai

Erschienen in: Journal of Materials Engineering and Performance | Ausgabe 2/2020

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The flow stress is significantly affected in the precision machining process by the factors of strain path, strain rate history, temperature history and even microstructures. The physics-based Bammann–Chiesa–Johnson viscoplastic model is capable of capturing the flow stress evolution as well as the rate and temperature dependence. However, it is extremely challenging to identify all 18 constants in the model. In this paper, a novel method was proposed to identify the material constants by decoupling the parameters of internal state variables. A comprehensive experimental plan was conducted to obtain the true stress–strain curves of aluminum 1060 at elevated temperatures from 25 to 500 °C and strain rates from 10−6 to 16400 s−1 using creeping, quasi-static and SHPB methods. The particle swarm optimization algorithm was adapted to find the optimal solutions of the model parameters. The results showed that the prediction on the established model matched well with the experimental data. The quantitative error analysis confirmed the reliability of the method across a large range of strain rate and temperature variations.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Y.B. Guo, Q. Wen, and M.F. Horstemeyer, An Internal State Variable Plasticity-Based Approach to Determine Dynamic Loading History Effects on Material Property in Manufacturing Processes, Int. J. Mech. Sci., 2005, 47(9), p 1423–1441CrossRef Y.B. Guo, Q. Wen, and M.F. Horstemeyer, An Internal State Variable Plasticity-Based Approach to Determine Dynamic Loading History Effects on Material Property in Manufacturing Processes, Int. J. Mech. Sci., 2005, 47(9), p 1423–1441CrossRef
2.
Zurück zum Zitat G.R. Johnson and W.H. Cook, Fracture Characteristics of Three Metals Subjected to Various Strains, Strain Rates, Temperatures and Pressures, Eng. Fract. Mech., 1985, 21(1), p 31–48CrossRef G.R. Johnson and W.H. Cook, Fracture Characteristics of Three Metals Subjected to Various Strains, Strain Rates, Temperatures and Pressures, Eng. Fract. Mech., 1985, 21(1), p 31–48CrossRef
3.
Zurück zum Zitat Z.G. Nie, G. Wang, J.C. Yu, D.H. Liu, and Y.M. Rong, Phase-Based Constitutive Modeling and Experimental Study for Dynamic Mechanical Behavior of Martensitic Stainless Steel Under High Strain Rate in a Thermal Cycle, Mech. Mater., 2016, 101, p 160–169CrossRef Z.G. Nie, G. Wang, J.C. Yu, D.H. Liu, and Y.M. Rong, Phase-Based Constitutive Modeling and Experimental Study for Dynamic Mechanical Behavior of Martensitic Stainless Steel Under High Strain Rate in a Thermal Cycle, Mech. Mater., 2016, 101, p 160–169CrossRef
4.
Zurück zum Zitat Y.B. Peng, G. Wang, T.X. Zhu, S.F. Pan, and Y.M. Rong, Dynamic Mechanical Behaviors of 6082-T6 Aluminum Alloy, Adv. Mech. Eng., 2013, 5, p 878016–878016CrossRef Y.B. Peng, G. Wang, T.X. Zhu, S.F. Pan, and Y.M. Rong, Dynamic Mechanical Behaviors of 6082-T6 Aluminum Alloy, Adv. Mech. Eng., 2013, 5, p 878016–878016CrossRef
5.
Zurück zum Zitat T. Shirakashi, K. Maekawa, and E. Usui, Flow Stress of Low Carbon Steel at High Temperature and Strain Rate (Part I)*—Propriety of Incremental Strain Method in Impact Compression Test with Rapid Heating and Cooling Systems, Bull. Jpn. Soc. Precis., 1983, 3(17), p 161–167 T. Shirakashi, K. Maekawa, and E. Usui, Flow Stress of Low Carbon Steel at High Temperature and Strain Rate (Part I)*—Propriety of Incremental Strain Method in Impact Compression Test with Rapid Heating and Cooling Systems, Bull. Jpn. Soc. Precis., 1983, 3(17), p 161–167
6.
Zurück zum Zitat F.J. Zerilli and R.W. Armstrong, Dislocation-Mechanics-Based Constitutive Relations for Material Dynamics Calculations, J. Appl. Phys., 1987, 61(5), p 1816–1825CrossRef F.J. Zerilli and R.W. Armstrong, Dislocation-Mechanics-Based Constitutive Relations for Material Dynamics Calculations, J. Appl. Phys., 1987, 61(5), p 1816–1825CrossRef
7.
Zurück zum Zitat D.J. Bammann, An Internal Variable Model of Viscoplasticity, Eng. Sci., 1984, 22(8–10), p 1041–1053 D.J. Bammann, An Internal Variable Model of Viscoplasticity, Eng. Sci., 1984, 22(8–10), p 1041–1053
8.
Zurück zum Zitat S.R. Bodner, Constitutive Equations for Dynamic Material Behavior, Mechanical Behavior of Materials under Dynamic Loads, U.S. Lindholm, Ed., Springer, Berlin, Heidelberg, 1968, p 176–190 S.R. Bodner, Constitutive Equations for Dynamic Material Behavior, Mechanical Behavior of Materials under Dynamic Loads, U.S. Lindholm, Ed., Springer, Berlin, Heidelberg, 1968, p 176–190
9.
Zurück zum Zitat D.J. Bammann, G.C. Johnson, E.B. Marin, and R.A. Regueiro, On the Formulation, Parameter Identification and Numerical Integration of the EMMI Model: Plasticity and Isotropic Damage. Report No. SAND2006-0200. Sandia National Laboratories, 2006 D.J. Bammann, G.C. Johnson, E.B. Marin, and R.A. Regueiro, On the Formulation, Parameter Identification and Numerical Integration of the EMMI Model: Plasticity and Isotropic Damage. Report No. SAND2006-0200. Sandia National Laboratories, 2006
10.
Zurück zum Zitat D.J. Bammann and E.C. Aifantis, A Model for Finite-Deformation Plasticity, Acta Mech., 1987, 69, p 97–117CrossRef D.J. Bammann and E.C. Aifantis, A Model for Finite-Deformation Plasticity, Acta Mech., 1987, 69, p 97–117CrossRef
11.
Zurück zum Zitat D.J. Bammann, Modeling Temperature and Strain Rate Dependent Large Deformations of Metals, Appl. Mech. Rev., 1990, 5(43), p 312–319CrossRef D.J. Bammann, Modeling Temperature and Strain Rate Dependent Large Deformations of Metals, Appl. Mech. Rev., 1990, 5(43), p 312–319CrossRef
12.
Zurück zum Zitat D.J. Bammann and G.C. Johnson, On the Kinematics of Finite-Deformation Plasticity, Acta Mech., 1987, 70(70), p 1–13CrossRef D.J. Bammann and G.C. Johnson, On the Kinematics of Finite-Deformation Plasticity, Acta Mech., 1987, 70(70), p 1–13CrossRef
13.
Zurück zum Zitat D.J. Bammann and E.C. Aifantis, A Damage Model for Ductile Metals, Nucl. Eng. Des., 1989, 116(3), p 355–362CrossRef D.J. Bammann and E.C. Aifantis, A Damage Model for Ductile Metals, Nucl. Eng. Des., 1989, 116(3), p 355–362CrossRef
14.
Zurück zum Zitat M.F. Horstemeyer and D.J. Bammann, Historical Review of Internal State Variable Theory for Inelasticity, Int. J. Plast, 2010, 26(9), p 1310–1334CrossRef M.F. Horstemeyer and D.J. Bammann, Historical Review of Internal State Variable Theory for Inelasticity, Int. J. Plast, 2010, 26(9), p 1310–1334CrossRef
15.
Zurück zum Zitat S. Salehghaffari, M. Rais-Rohani, E.B. Marin, and D.J. Bammann, A New Approach for Determination of Material Constants of Internal State Variable Based Plasticity Models and Their Uncertainty Quantification, Comput. Mater. Sci., 2012, 55, p 237–244CrossRef S. Salehghaffari, M. Rais-Rohani, E.B. Marin, and D.J. Bammann, A New Approach for Determination of Material Constants of Internal State Variable Based Plasticity Models and Their Uncertainty Quantification, Comput. Mater. Sci., 2012, 55, p 237–244CrossRef
16.
Zurück zum Zitat M.F. Horstemeyer, J. Lathrop, A.M. Gokhale, and M. Dighe, Modeling Stress State Dependent Damage Evolution in a Cast Al–Si–Mg Aluminum Alloy, Theor. Appl. Fract. Mech., 2000, 33(1), p 31–47CrossRef M.F. Horstemeyer, J. Lathrop, A.M. Gokhale, and M. Dighe, Modeling Stress State Dependent Damage Evolution in a Cast Al–Si–Mg Aluminum Alloy, Theor. Appl. Fract. Mech., 2000, 33(1), p 31–47CrossRef
17.
Zurück zum Zitat A.B. Tanner, R.D. McGinty, and D.L. McDowell, Modeling Temperature and Strain Rate History Effects in OFHC Cu, Int. J. Plast, 1999, 15(6), p 575–603CrossRef A.B. Tanner, R.D. McGinty, and D.L. McDowell, Modeling Temperature and Strain Rate History Effects in OFHC Cu, Int. J. Plast, 1999, 15(6), p 575–603CrossRef
18.
Zurück zum Zitat Y.B. Guo, Q. Wen, and K.A. Woodbury, Dynamic Material Behavior Modeling Using Internal State Variable Plasticity and Its Application in Hard Machining Simulations, J. Manuf. Sci. Eng., 2006, 128(3), p 749–759CrossRef Y.B. Guo, Q. Wen, and K.A. Woodbury, Dynamic Material Behavior Modeling Using Internal State Variable Plasticity and Its Application in Hard Machining Simulations, J. Manuf. Sci. Eng., 2006, 128(3), p 749–759CrossRef
19.
Zurück zum Zitat J.A. Sherburn, M.F. Horstemeyer, D.J. Bammann, and J.R. Baumgardner, Application of the Bammann Inelasticity Internal State Variable Constitutive Model to Geological Materials, Geophys. J. Int., 2011, 184(3), p 1023–1036CrossRef J.A. Sherburn, M.F. Horstemeyer, D.J. Bammann, and J.R. Baumgardner, Application of the Bammann Inelasticity Internal State Variable Constitutive Model to Geological Materials, Geophys. J. Int., 2011, 184(3), p 1023–1036CrossRef
20.
Zurück zum Zitat L. Chuzhoy, R.E. DeVor, S.G. Kapoor, A.J. Beaudoin, and D.J. Bammann, Machining Simulation of Ductile Iron and Its Constituents, Part 1: Estimation of Material Model Parameters and Their Validation, J. Manuf. Sci. Eng. Trans. ASME, 2003, 125(2), p 180–190 L. Chuzhoy, R.E. DeVor, S.G. Kapoor, A.J. Beaudoin, and D.J. Bammann, Machining Simulation of Ductile Iron and Its Constituents, Part 1: Estimation of Material Model Parameters and Their Validation, J. Manuf. Sci. Eng. Trans. ASME, 2003, 125(2), p 180–190
21.
Zurück zum Zitat E.J. Harley, M.P. Miller, and D.J. Bammann, Experimental Study of Internal Variable Evolution in ss304l, at Multiple Rates and Temperatures, Trans. ASME, 1999, 121(2), p 162–171 E.J. Harley, M.P. Miller, and D.J. Bammann, Experimental Study of Internal Variable Evolution in ss304l, at Multiple Rates and Temperatures, Trans. ASME, 1999, 121(2), p 162–171
22.
Zurück zum Zitat M.P. Miller, E.J. Harley, and D.J. Bammann, Reverse Yield Experiments and Internal Variable Evolution in Polycrystalline Metals, Int. J. Plast, 1999, 15(1), p 93–117CrossRef M.P. Miller, E.J. Harley, and D.J. Bammann, Reverse Yield Experiments and Internal Variable Evolution in Polycrystalline Metals, Int. J. Plast, 1999, 15(1), p 93–117CrossRef
23.
Zurück zum Zitat J.F.C. Moraes, J.B. Jordon, and D.J. Bammann, Finite element analysis of self-pierce riveting in magnesium alloys sheets, J. Eng. Mater. Technol., 2015, 137, p 021002-1–9CrossRef J.F.C. Moraes, J.B. Jordon, and D.J. Bammann, Finite element analysis of self-pierce riveting in magnesium alloys sheets, J. Eng. Mater. Technol., 2015, 137, p 021002-1–9CrossRef
24.
Zurück zum Zitat R.C. Eberhart and Y. Shi, Particle Swarm Optimization: Developments, Applications and Resources, Congress on Evolutionary Computation. IEEE, 2002, p. 81–86. R.C. Eberhart and Y. Shi, Particle Swarm Optimization: Developments, Applications and Resources, Congress on Evolutionary Computation. IEEE, 2002, p. 81–86.
25.
Zurück zum Zitat Y. Shi and R.C. Eberhart, Parameter Selection in Particle Swarm Optimization, International Conference on Evolutionary Programming. Springer, Berlin, 1998. Y. Shi and R.C. Eberhart, Parameter Selection in Particle Swarm Optimization, International Conference on Evolutionary Programming. Springer, Berlin, 1998.
26.
Zurück zum Zitat J. Kennedy and R.C. Eberhart, Particle Swarm Optimization, Proceedings of IEEE International Conference on Neural Network, Piscataway, NJ, 1995, p. 1942–1948. J. Kennedy and R.C. Eberhart, Particle Swarm Optimization, Proceedings of IEEE International Conference on Neural Network, Piscataway, NJ, 1995, p. 1942–1948.
27.
Zurück zum Zitat M.J. McAnulty, G.P. Potirniche, and A. Tokuhiro, The Application of an Internal State Variable Model to the Viscoplastic Behavior of Irradiated ASTM 304L Stainless Steel, Nucl. Eng. Des., 2012, 250, p 1–7CrossRef M.J. McAnulty, G.P. Potirniche, and A. Tokuhiro, The Application of an Internal State Variable Model to the Viscoplastic Behavior of Irradiated ASTM 304L Stainless Steel, Nucl. Eng. Des., 2012, 250, p 1–7CrossRef
28.
Zurück zum Zitat E.D.H. Davies and S.C. Hunter, The Dynamic Compression Testing of Solids by the Method of the Split Hopkinson Pressure Bar, J. Mech. Phys. Solids, 1963, 11(3), p 155–179CrossRef E.D.H. Davies and S.C. Hunter, The Dynamic Compression Testing of Solids by the Method of the Split Hopkinson Pressure Bar, J. Mech. Phys. Solids, 1963, 11(3), p 155–179CrossRef
30.
Zurück zum Zitat J. Castellanos, I. Rieiro, M. Carsí, J. Muñoz, M.E. Mehtedi, and O.A. Ruano, Analysis of Adiabatic Heating on the Garofalo Equation Parameters of a High Nitrogen Steel, Mater. Sci. Eng., A, 2009, 517, p 191–196CrossRef J. Castellanos, I. Rieiro, M. Carsí, J. Muñoz, M.E. Mehtedi, and O.A. Ruano, Analysis of Adiabatic Heating on the Garofalo Equation Parameters of a High Nitrogen Steel, Mater. Sci. Eng., A, 2009, 517, p 191–196CrossRef
Metadaten
Titel
Identification of Multiple Parameters of the Bammann–Chiesa–Johnson Constitutive Model with Comprehensive Experiments for Pure Aluminum
verfasst von
Tingting Zhou
Gang Wang
Yang Yang
Yao Li
Maobing Shuai
Publikationsdatum
10.02.2020
Verlag
Springer US
Erschienen in
Journal of Materials Engineering and Performance / Ausgabe 2/2020
Print ISSN: 1059-9495
Elektronische ISSN: 1544-1024
DOI
https://doi.org/10.1007/s11665-020-04584-5

Weitere Artikel der Ausgabe 2/2020

Journal of Materials Engineering and Performance 2/2020 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.