journal article·2021-11

A reduced single-pattern model for the numerical simulation of multi-pattern metal forming

Pouya Tajdary, Léo Morin, Chedly Braham, Gonzalo Gonzalez

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Abstract

The aim of this study is to develop a reduced single-pattern model for a multi-pattern metal forming process called repetitive corrugation and straightening (RCS) which belongs to the category of Severe Plastic Deformation (SPD) processes. The corrugation die in RCS is composed of multiple similarly repeated patterns. First, a full multi-pattern model with a large number of patterns is developed. An analysis of this model reveals that the mechanical fields stabilize in the patterns away from the free boundary. Then, a reduced model defining a single pattern is developed to represent the stabilized behavior of the multi-pattern model, based on an approximate description of the boundary conditions in the stabilized sections of the multi-pattern model. Three different boundary conditions are proposed to capture the stress redistribution after each stage of the process in the reduced single-pattern model. It is shown that the single-pattern model with a symmetric-periodic boundary condition during unloading is the best choice to reproduce the stress and strain behavior of the stabilized sections of the multi-pattern model.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Metal Forming Simulation Techniques · Metallurgy and Material Forming · Microstructure and mechanical properties

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (34)

Show source-provided references
1. Ammar A (2010) The proper generalized decomposition: a powerful tool for model reduction. Int J Mater Form 3:89–10210.1007/s12289-009-0647-x ↗
2. Azushima A, Kopp R, Korhonen A, Yang DY, Micari F, Lahoti GD, Groche P, Yanagimoto J, Tsuji N, Rosochowski A, Yanagida A (2008) Severe plastic deformation (SPD) processes for metals. CIRP Ann 57:716–73510.1016/j.cirp.2008.09.005 ↗
3. Ben Moussa N, Sidhom H, Braham C (2012) Numerical and experimental analysis of residual stress and plastic strain distributions in machined stainless steel. Int J Mech Sci 64:82–9310.1016/j.ijmecsci.2012.07.011 ↗
4. Bhovi PM, Gururaj SH, Lohit RB, Venkateswarlu K (2018) Simulation studies on RCS processed Al-Mg-Sc alloy. Mater Today Proc 5:7525–753110.1016/j.matpr.2017.11.424 ↗
5. Bhovi PM, Patil DC, Kori SA, Venkateswarlu K, Huang Y, Langdon TG (2016) A comparison of repetitive corrugation and straightening and high-pressure torsion using an Al-Mg-Sc alloy. J Mater Res Technol 5:353–35910.1016/j.jmrt.2016.03.009 ↗
6. Cao TS (2017) Models for ductile damage and fracture prediction in cold bulk metal forming processes: a review. Int J Mater Form 10:139–17110.1007/s12289-015-1262-7 ↗
7. Chinesta F, Ladeveze P, Cueto E (2011) A short review on model order reduction based on proper generalized decomposition. Arch Comput Methods Eng 18:395–40410.1007/s11831-011-9064-7 ↗
8. Elizalde S, Ezequiel M, Figueroa IA, Cabrera JM, Braham C, Gonzalez G (2020) microstructural evolution and mechanical behavior of an Al-6061 alloy processed by repetitive corrugation and straightening. Metals 10:48910.3390/met10040489 ↗
9. Ezequiel M, Figueroa IA, Elizalde S, Cabrera JM, Braham C, Morin L, Gonzalez G (2020) Numerical and experimental study of a 5754-aluminum alloy processed by heterogeneous repetitive corrugation and straightening. J Mater Res Technol 9:1941– 194710.1016/j.jmrt.2019.12.026 ↗
10. Gorji MB, Mohr D (2018) Predicting shear fracture of aluminum 6016-T4 during deep drawing: Combining Yld-2000 plasticity with Hosford–Coulomb fracture model. Int J Mech Sci 137:105–12010.1016/j.ijmecsci.2018.01.008 ↗
11. Hadoush A, van den Boogaard A (2008) Time reduction in implicit single point incremental sheet forming simulation by refinement - derefinement. Int J Mater Form 1:1167–117010.1007/s12289-008-0188-8 ↗
12. Hajizadeh K, Ejtemaei S, Eghbali B (2017) Microstructure, hardness homogeneity, and tensile properties of 1050 aluminum processed by constrained groove pressing. Appl Phys A 123 :50410.1007/s00339-017-1123-y ↗
13. Huang JY, Zhu YT, Jiang H, Lowe TC (2001) Microstructures and dislocation configurations in nanostructured Cu processed by repetitive corrugation and straightening. Acta Mater 49:1497–150510.1016/S1359-6454(01)00069-6 ↗
14. Huang Y, Langdon TG (2013) Advances in ultrafine-grained materials. Mater Today 16:85–9310.1016/j.mattod.2013.03.004 ↗
15. Huttunen-Saarivirta E, Kilpi L, Hakala TJ, Metsäjoki J, Ronkainen H (2018) Insights into the behaviour of tool steel-aluminium alloy tribopair at different temperatures. Tribol Int 119:567–58410.1016/j.triboint.2017.11.041 ↗
16. Inoue T, Tsuji N (2009) Quantification of strain in accumulative roll-bonding under unlubricated condition by finite element analysis. Comput Mater Sci 46:261–26610.1016/j.commatsci.2009.03.005 ↗
17. Jenix Rino J, Balasivanandha Prabu S, Padmanabhan KA (2018) On the influence of repetitive corrugation and straightening on the microstructure and mechanical properties of AA 8090 Al-Li alloy. Arch Civil Mech Eng 18:280–29010.1016/j.acme.2017.07.006 ↗
18. Kawasaki M, Horita Z, Langdon TG (2009) Microstructural evolution in high purity aluminum processed by ECAP. Mater Sci Eng A 524:143–15010.1016/j.msea.2009.06.032 ↗
19. Kerfriden P, Passieux JC, Bordas SPA (2012) Local/global model order reduction strategy for the simulation of quasi-brittle fracture. Int J Numer Methods Eng 89:154–17910.1002/nme.3234 ↗
20. Lee BH, Keum YT, Wagoner RH (2002) Modeling of the friction caused by lubrication and surface roughness in sheet metal forming. J Mater Process Technol 130-131:60–6310.1016/S0924-0136(02)00784-7 ↗
21. Morin L, Braham C, Tajdary P, Seddik R, Gonzalez G (2021) Reconstruction of heterogeneous surface residual-stresses in metallic materials from X-ray diffraction measurements. Mech Mater 158:10388210.1016/j.mechmat.2021.103882 ↗
22. Morin L, Leblond JB, Tvergaard V (2016) Application of a model of plastic porous materials including void shape effects to the prediction of ductile failure under shear-dominated loadings. J Mech Phys Solids 94:148–16610.1016/j.jmps.2016.04.032 ↗
23. Niroomandi S, Alfaro I, Cueto E, Chinesta F (2008) Real-time deformable models of non-linear tissues by model reduction techniques. Comput Methods Programs Biomed 91:223– 23110.1016/j.cmpb.2008.04.008 ↗
24. Nor FM, Osman N, Kurniawan D (2020) Finite element analysis of repetitive corrugation and straightening die designs for severe plastic deformation of magnesium alloy. AIP Conf Proc 2262:03001710.1063/5.0015825 ↗
25. Paux J, Ben Bettaieb M, Badreddine H, Abed-Meraim F, Labergere C, Saanouni K (2020) An elasto-plastic self-consistent model for damaged polycrystalline materials: Theoretical formulation and numerical implementation. Comput Methods Appl Mech Eng 368:11313810.1016/j.cma.2020.113138 ↗
26. Rahimi F, Sadeghi BM, Ahmadi M (2018) Finite element analysis of the deformation behaviour of pure aluminium in repetitive corrugation-straightening and constrained groove pressing. Int J Manuf Technol Manag 32:598–60910.1504/IJMTM.2018.095038 ↗
27. Ryckelynck D, Chinesta F, Cueto E, Ammar A (2006) On the a priori model reduction: Overview and recent developments. Arch Comput Methods Eng 13:91–12810.1007/BF02905932 ↗
28. Shin DH, Park JJ, Kim YS, Park KT (2002) Constrained groove pressing and its application to grain refinement of aluminum. Mat Sci Eng A 328:98–10310.1016/S0921-5093(01)01665-3 ↗
29. Shirdel A, Khajeh A, Moshksar MM (2010) Experimental and finite element investigation of semi-constrained groove pressing process. Mater Des 31:946–95010.1016/j.matdes.2009.07.035 ↗
30. Thangapandian N, Balasivanandha Prabu S, Padmanabhan KA (2016) Effects of die profile on grain refinement in Al–Mg alloy processed by repetitive corrugation and straightening. Mater Sci Eng A 649:229–23810.1016/j.msea.2015.09.051 ↗
31. Torkestani A, Dashtbayazi MR (2018) A new method for severe plastic deformation of the copper sheets. Mat Sci Eng A 737:236–24410.1016/j.msea.2018.09.054 ↗
32. Valiev RZ, Islamgaliev RK, Alexandrov IV (2000) Bulk nanostructured materials from severe plastic deformation. Prog Mater Sci 45:103–18910.1016/S0079-6425(99)00007-9 ↗
33. Westlund V, Heinrichs J, Jacobson S (2018) On the Role of Material Transfer in Friction Between Metals : Initial Phenomena and Effects of Roughness and Boundary Lubrication in Sliding Between Aluminium and Tool Steels. Tribology Letters 6610.1007/s11249-018-1048-4 ↗
34. Xiao X, Tong X, Liu Y, Zhao R, Gao G, Li Y (2018) Prediction of shot peen forming effects with single and repeated impacts. Int J Mech Sci 137:182–19410.1016/j.ijmecsci.2018.01.006 ↗