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On the selection of constitutive models for realistic numerical simulations
- 1. SUSTAINABLE MANUFACTURING SOLUTIONS On the selection of constitutive models for realistic numerical simulations M. Conde (a), *, S. Coppieters (b), A. Andrade-Campos (a) (a) - Centre for Mechanical Technology and Automation (TEMA), Department of Mechanical Engineering, University of Aveiro; (b) - Department of Materials Engineering, KU Leuven (a) Aveiro, Portugal; (b) – Ghent, Belgium * – marianaconde@ua.pt
- 2. SUSTAINABLE MANUFACTURING SOLUTIONS Virtualization and realistic simulations • Adequate constitutive model • Accurately identified parameters Development and manufacturing • Precise results • No delays • No waste Industries • High quality • Low costs • High efficiency Background of the topic Images source: https://unsplash.com/photos/jHZ70nRk7Ns ; https://unsplash.com/photos/SVUqHTVyn6w ; https://unsplash.com/photos/t9DooibgMEk
- 3. SUSTAINABLE MANUFACTURING SOLUTIONS Observed problem: constitutive models Power laws •Hollomon •Swift •Ludwick Modified Power Laws •Voce •Hockett and Sherby Flow rules Isotropic hardening Kinematic hardening •Linear •Non-linear Rotational hardening Distortional hardening Mixed hardening Microstructural models Models for high temperatures Hardening laws Isotropic •Tresca •Huber •von Mises •Hosford •Cazacu and Barlat •Drucker’s criterion •Cazacu •BC2000 •BBC2003 •BBC2005 •BBC2008 •Vegter criterion Anisotropic •Hill 48 •Hill 90 •Barlat 1989 •Barlat 2000 •Barlat 2004-18p Yield functions Forming limit diagram (FLD) Forming limit stress diagram (FLSD) Extended stress- based limit curve (XSFLC) Polar diagram of the effective plastic strain (PEPS) Fracture forming limit diagram (FFLD) Linear methods •Swift •Hill •Storen and Rice •Modified Mohr- Coulom (MMC) fracture criterion Forming limits
- 4. SUSTAINABLE MANUFACTURING SOLUTIONS Observed problem: constitutive models More than 13000 possible combinations of models
- 5. SUSTAINABLE MANUFACTURING SOLUTIONS Observed problem: constitutive models What model should I use for a realistic simulation? What strategy should I follow to find the adequate model?
- 6. SUSTAINABLE MANUFACTURING SOLUTIONS Observed problem: model selection Direct comparison Numerical and experimental data Brute-force strategy Model calibration Several different models Laboured task Requires specialized knowledge Time consuming task Experimental data generation and analysis Non-precise selection strategy Geometrical measurement, load displacement curve or yield loci plot Limited analysis Model, material, mechanical phenomenon and mechanical process Ben-Elechi et al. 2021; Chatziioannou et al. 2021; Prakash et al. 2020; Kilic et al. 2018; Hou et al. 2017; Barros et al. 2016; Lin et al. 2020; Moreira et al. 2014; Oliveira et al. 2007; Laurent et al. 2009; Nedoushan et al. 2014; Tuo et al. 2021.
- 7. SUSTAINABLE MANUFACTURING SOLUTIONS Proposed solution: main goals Automatic model selection strategy Pre-selection of model types based on empirical knowledge Definition of model types priority list Statistical and data analysis for model selection and KPI’s
- 8. SUSTAINABLE MANUFACTURING SOLUTIONS Proposed solution: empirical knowledge for pre-selection of models Monotonous processes Isotropic hardening Changes in strain path Kinematic hardening Softening over- prediction Non-linear kinematic hardening Bruschi et al. 2014
- 9. SUSTAINABLE MANUFACTURING SOLUTIONS Proposed solution: empirical knowledge for pre-selection of models Isotropic behaviour von Mises Properties dependent on the direction Anisotropic yield function Hill48 model Bruschi et al. 2014; Banabic et al. 2020
- 10. SUSTAINABLE MANUFACTURING SOLUTIONS Proposed solution: model priority list definition Deep-drawing test and split-ring test Aluminium alloy and steel Yield function > Hardening rule Accurate prediction of material’s behaviour Prakash et al. 2020; Laurent et al. 2009
- 11. SUSTAINABLE MANUFACTURING SOLUTIONS Proposed solution: model priority list definition Hemispherical punch stretching, deep drawing and bending drawing tests metals Yield function > Kinematic hardening Accurate prediction of material’s behaviour Moreira et al. 2004
- 12. SUSTAINABLE MANUFACTURING SOLUTIONS Proposed solution: conclusion Realistic simulations KPI’s and data analysis Automatic model selection
- 13. SUSTAINABLE MANUFACTURING SOLUTIONS On the selection of constitutive models for realistic numerical simulations Acknowledgements: This project has received funding from the Research Fund for Coal and Steel under grant agreement No 888153. The authors also acknowledge the financial support of the Portuguese Foundation for Science and Technology (FCT) under the project PTDC/EME-APL/29713/2017 by UE/FEDER through the programs CENTRO 2020 and COMPETE 2020, and UID/EMS/00481/2013-FCT under CENTRO-01-0145-FEDER-022083. Mariana Conde is grateful to the Portuguese Foundation for Science and Technology (FCT) for the PhD grant 2021.06115.BD. M. Conde (a), *, S. Coppieters (b), A. Andrade-Campos (a) (a) - Centre for Mechanical Technology and Automation (TEMA), Department of Mechanical Engineering, University of Aveiro; (b) - Department of Materials Engineering, KU Leuven (a) Aveiro, Portugal; (b) – Ghent, Belgium * – marianaconde@ua.pt