Coupling the thermal and mechanical fields to metallurgical evolutions within a finite element description of a forming process

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 48-49, 2006, Pages 6843-6857

  Loge R E ^a   Chastel, Y B ^a  

^a PSL RESEARCH UNIVERSITY   (France)

Author keywords

Anisotropy; Digital material; Forming; Large deformation; Metallurgy; Microstructure; Multiscale; Phase change; Remeshing

Indexed keywords

ANISOTROPY; CRYSTALLOGRAPHY; DIFFUSION; FINITE ELEMENT METHOD; METAL FORMING; METALLOGRAPHIC MICROSTRUCTURE;

CONVENTIONAL HOMOGENIZATION THEORIES; DIGITAL MATERIAL FRAMEWORK;

METALLURGY;

ANISOTROPY; CRYSTALLOGRAPHY; DIFFUSION; FINITE ELEMENT METHOD; METAL FORMING; METALLOGRAPHIC MICROSTRUCTURE; METALLURGY;

EID: 33746345573     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.11.034     Document Type: Article

References (43)

1. C. Aliaga, Simulation numérique par éléments finis en 3D du comportement thermomécanique au cours du traitement thermique d'aciers: application à la trempe de pièces forgées ou coulées, Ph.D. thesis, Ecole des Mines de Paris, CEMEF, Sophia Antipolis, France, 2000.
2. Avrami M. Kinetics of phase change. I. General theory. J. Chem. Phys. 7 (1939) 1103-1112
3. Asaro R.J., and Needleman A. Texture development and strain hardening in rate-dependent polycrystals. Acta Metall. 33 (1985) 923-953
4. Beaudoin A.J., Mathur K.K., Dawson P.R., and Johnson G.C. Three-dimensional deformation process simulation with explicit use of polycrystalline plasticity models. Int. J. Plasticity 9 (1993) 833-860
5. Beaudoin A.J., Dawson P.R., Mathur K.K., and Kocks U.F. A hybrid finite element formulation for polycrystal plasticity with consideration of macrostructural and microstructural linking. Int. J. Plasticity 11 (1995) 501-521
6. Bornert M., Bretheau T., and Gilormini P. Homogénéisation en Mécanique des Matériaux (2001), Hermès Science Publications, Paris
7. Chastel Y., Dawson P., Wenk H.-R., and Bennett K. Anisotropic convection with implications for the upper mantle. J. Geophys. Res. 98 (1993) 17757-17771
8. J.-L. Chenot, M. Bellet, The ALE method for the numerical simulation of material forming processes, in: Proceedings of NUMIFORM'95, 5th International Conference on Numerical Methods in Industrial Forming Processes, Cornell University, Ithaca, 1995, pp. 39-48.
9. Coupez T., and Chenot J.-L. Mesh topology for mesh generation problems-application to three dimensional remeshing. Numerical Methods in Industrial Forming Processes (1992), A.A. Balkema, Rotterdam 237-242
10. Dawson P.R. Computational crystal plasticity. Int. J. Solids Struct. 37 (2000) 115-130
11. Dawson P.R., Miller M.P., Han T.-S., and Bernier J. An accelerated methodology for the evaluation of critical properties in polyphase alloys. Metall. Mater. Trans. A 36A (2005) 1627-1641
12. Delannay L., Logé R.E., Chastel Y., and Van Houtte P. Prediction of intergranular strains in cubic metals using a mutlisite elastic-plastic model. Acta Mater. 50 (2002) 5127-5138
13. Delannay L., Logé R.E., Chastel Y., and Van Houtte P. Prediction of residual stresses and springback after bending of a textured aluminium plate. J. Phys. IV 105 (2003) 175-182
14. L. Delannay, R.E. Logé, J.W. Signorelli, Y. Chastel, Prediction of the planar anisotropy of springback after bending of a textured zinc sheet. Materials Processing and Design: Modeling, Simulation and Applications, in: S. Gosh, J.C. Castro, J.K. Lee, (Eds.), Proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes (NUMIFORM 2004), Columbus, Ohio, USA, 13-17 June 2004, pp. 1058-1063.
15. Darrieulat M., and Montheillet F. A texture based continuum approach for predicting the plastic behavior of rolled sheet. Int. J. Plasticity 19 (2003) 517-546
16. Geng L., Shen Y., and Wagoner R.H. Anisotropic hardening equations derived from reverse-bend testing. Int. J. Plasticity 18 (2002) 743-767
17. Geng L., and Wagoner R.H. Role of plastic anisotropy and its evolution on springback. Int. J. Mech. Sci. 44 (2002) 123-148
18. Habraken A.-M., and Duchêne L. Anisotropic elasto-plastic finite element analysis using a stress-strain interpolation method based on a polycrystalline model. Int. J. Plasticity 20 (2004) 1525-1560
19. Hill R. The essential structure of constitutive laws for metal composites and polycrystals. J. Mech. Phys. Solids 15 (1967) 79-95
20. Kalidindi S.R., and Anand L. An approximate procedure for predicting the evolution of crystallographic texture in bulk deformation processing of FCC metals. Int. J. Mech. Sci. 34 (1992) 309-329
21. Kalidindi S.R., Bronkhorst C.A., and Anand L. Crystallographic texture evolution in bulk deformation processing of FCC metals. J. Mech. Phys. Solids 40 (1992) 537-569
22. Kok S., Beaudoin A.J., Tortorelli D.A., and Lebyodkin M. A finite element model for the Portevin-Le Chatelier effect based on polycrystal plasticity. Modell. Simul. Mater. Sci. Engrg. 10 (2002) 745-763
23. Lebensohn R.A., and Tomé C.N. A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: application to zirconium alloys. Acta Metall. Mater. 41 (1993) 2611-2624
24. Li S., Hoferlin E., Van Bael A., Van Houtte P., and Teodosiu C. Finite element modeling of plastic anisotropy induced by texture and strain-path change. Int. J. Plasticity 19 (2003) 647-674
25. Logé R.E., Signorelli J.W., Chastel Y.B., Perrin M.Y., and Lebensohn R.A. Sensitivity of α-Zy4 high temperature deformation textures to the β-quenched precipitates structure and to recrystallization: application to hot extrusion. Acta Mater. 48 15 (2000) 3917-3930
26. Logé R.E., Turkmen H.S., Miller M.P., Rogge R., and Dawson P.R. Influence of modelling variables on the distribution of lattice strains in a deformed polycrystal, with reference to neutron diffraction experiments. Modell. Simul. Mater. Sci. Engrg. 4 (2004) 633-663
27. R.E. Logé, M. Béringhier, Y. Chastel, L. Delannay, Decreasing computation time in finite element simulations coupled with polycrystalline plasticity, Materials Processing and Design: Modeling, Simulation and Applications, in: S. Gosh, J.C. Castro, J.K. Lee (Eds.), Proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes (NUMIFORM 2004), Columbus, Ohio, USA, 13-17 June 2004, pp. 1754-1759.
28. Marin E.B., Dawson P.R., and Jenkins J.T. Aggregate size effect on the predicted plastic response of hexagonal close-packed polycrystals. Modell. Simul. Mater. Sci. Engrg. 3 6 (1995) 845-864
29. Marin E.B., and Dawson P.R. On modelling the elasto-viscoplastic response of metals using polycrystal plasticity. Comput. Methods Appl. Mech. Engrg. 165 (1998) 1-21
30. Marin E.B., and Dawson P.R. Elastoplastic finite element analyses of metal deformations using polycrystal constitutive models. Comput. Methods Appl. Mech. Engrg. 165 (1998) 23-41
31. Mocellin K., Fourment L., Coupez T., and Chenot J.-L. Toward large scale FE computation of hot forging process using iterative solvers, parallel computation and multigrid algorithms. Int. J. Numer. Methods Engrg. 2 (2001) 473-488
32. Myers C.R., Arwade S.R., Iesulauro E., Wawrzynek P.A., Grigoriu M., Ingraffea A.R., Dawson P.R., Miller M.P., and Sethna J.P. Digital material: a framework for multiscale modeling of defects in solids. Mater. Res. Soc. Symp. Proc. 538 (1999) 509
33. Quilici S., and Cailletaud G. FE simulation of macro-, meso- and micro-scales in polycrystalline plasticity. Comput. Mater. Sci. 16 (1999) 383-390
34. Signorelli J.W., Logé R.E., Chastel Y.B., and Lebensohn R.A. Parameter identification method for a polycrystalline viscoplastic selfconsistent model based on analytical derivatives of the direct model equations. Modell. Simul. Mater. Sci. Engrg. 8 (2000) 193-209
35. Suquet P. Continuum Micromechanics. CISM Courses and Lectures vol. 377 (1997), Springer-Verlag, Berlin
36. Surdon G., and Chenot J.-L. Finite element calculation of three-dimensional hot forging. Int. J. Numer. Methods Engrg. 24 (1987) 2107-2117
37. P. Thibaux, Comportement mécanique d'un acier C-Mn microallié lors du laminage intercritique, Ph.D. thesis, Ecole des Mines de Paris, CEMEF, Sophia Antipolis, France, 2001.
38. Thibaux P., Chastel Y., and Chaze A.-M. Finite element simulation of a two-phase viscoplastic material: calculation of the mechanical behaviour. Computat. Mater. Sci. 18 (2000) 118-125
39. Thibaux P., Jouaffre D., Feuillu D., Chastel Y., and Chaze A.-M. Mechanical behaviour and microstructural evolution of a microalloyed C-Mn Steel during hot forming process. J. Phys. IV 11 (2001) 107-114
40. Toth L.S., and Van Houtte P. Discretization techniques for orientation distribution functions. Textures Microstruct. 19 (1992) 229-244
41. H. Tsukahara, Etude thermomécanique et microstructurale de l'acier Z10MC18-18, Ph.D. thesis, Ecole des Mines de Paris, CEMEF, Sophia Antipolis, France, 1995.
42. A. Van Bael, J. Winters, P. Van Houtte, A semi-analytical approach for incorporating crystallographic data into elasto-plastic finite element formulations, in: Z. Liang, L. Zuo, Y. Chu (Eds.), Textures of Materials, Proceedings of the 11th International Conference on Textures of Materials (ICOTOM-11), 1996, vol. 1, pp. 356-361.
43. Van Houtte P., Mols K., Van Bael A., and Aernoudt E. Application of yield loci calculated from texture data. Textures Microstruct. 11 (1989) 23-39