Multiscale Approaches

Duchene, Laurent; Habraken, Anne

doi:10.1007/978-2-287-72143-4_8

Download

Contribution to collective works (Parts of books)

Multiscale Approaches

Duchene, Laurent; Habraken, Anne

2007 • In Chinesta, F.; Cueto, E. (Eds.) Advances in Material Forming - Esaform 10 years on

Permalink
https://hdl.handle.net/2268/20564

DOI
10.1007/978-2-287-72143-4_8

Files (1)Send to Details Statistics Bibliography Similar publications

Files

Full Text

2007_Multiscale Approaches.pdf

Author postprint (339.76 kB)

(c) SPRINGER- Verlag France, Paris (2007)

Download

All documents in ORBi are protected by a user license.

Send to

RIS BibTex APA Chicago Permalink X Linkedin

Details

Keywords :

Micro-macro; texture; homogenization techniques; dislocation densities; finite element modelling; LIMARC

Abstract :

[en] This paper presents a review of the main families of multiscale models. A first group of models is interested in an accurate modelling of the texture induced anisotropy of the material during numerical simulations. The differences between the proposed models are mainly due to different choices concerning the necessary compromise between the importance of the microscopic roots of the model and the maximum admissible computation time. The length scale of the investigated process is also an important parameter. The second group of micro-macro models is based on an analysis of the dislocation densities linked to the plastic deformations. A discussion concerning the past evolution, the recent achievements and the future trends concerning multiscale models is also provided.

Disciplines :

Materials science & engineering

Author, co-author :

Duchene, Laurent ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Département Argenco : Secteur MS2F

Habraken, Anne ; Université de Liège - ULiège > Département ArGEnCo > Département ArGEnCo

Language :

English

Title :

Multiscale Approaches

Publication date :

2007

Main work title :

Advances in Material Forming - Esaform 10 years on

Author, co-author :

Chinesta, F.

Cueto, E.

Pages :

125-141

Available on ORBi :

since 31 August 2009

Statistics

Number of views

57 (12 by ULiège)

Number of downloads

180 (14 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

Bibliography

Devincre, B., Kubin, L. P. Philos. Trans. R. Soc. Lond. Ser. A 355 (1997) 2003
Schiotz, J., Di Tolla, F. D., Jacobsen, K. W. Nature 391 (1998) 561
Van Swygenhoven, H., Derlet, P. M., Froseth, A. G.: Nucleation and propagation of dislocations in nanocrystalline fcc metals. Acta Materialia 54 (2006) 1975-1983
Sachs, G.: Zur ableitung einer fliessbedingung. Z. Verein Deutscher Ing, 72 (1928) 734-736
Taylor, G. I.: Plastic strain in metals. J. Inst. Met 62 (1938) 307-324
Bachu, V., Kalidindi, S. R.: On the accuracy of the predictions of texture evolution by the finite element technique for fcc polycrystals. Materials Science and Engineering A257 (1998) 108-117
Honeff, H., Mecking, H.: Analysis of the deformation texture at different rolling conditions. In: Nagashima, S. (Ed.), Proceedings of ICOTOM 6, vol. 1. The Iron and Steel Institute of Japan, Tokyo (1981) 347-355
Kocks, U. F., Chandra, H.: Slip geometry in partially constrained deformation. Acta Metall. 30 (1982) 695
Van Houtte, P.: On the equivalence of the relaxed Taylor theory and the Bishop-Hill theory for partially constrained plastic deformation of crystals. Mater. Sci. Eng. 55 (1982) 69-77
Van Houtte, P., Rabet, L.: Generalisation of the relaxed constraints models for the prediction of deformation textures. Revue de Métallurgie- CIT/Science et Génie des matériaux (1997) 1483-1494
Van Houtte, P., Delannay, L., Samajdar, I.: Quantitative prediction of cold rolling textures in low-carbon steel by means of the LAMEL model. Textures and Microstructures 31 (1999) 109-147
Van Houtte, P., Delannay, L., Kalidindi, S. R.: Comparison of two grain interaction models for polycrystal plasticity and deformation texture prediction. Int. J. Plasticity 18 (2002) 359-377
Liu, Y. S., Delannay, L., Van Houtte, P.: Application of the Lamel model for simulating cold rolling texture in molybdenum sheet. Acta Materialia 50 (2002) 1849-1856
Crumbach, M., Pomana, G., Wagner, P., Gottstein, G.: A Taylor type deformation texture model considering grain interaction and material properties. Part I - Fundamentals. In: Gottstein, G., Molodov, D. A. (Eds.), Recrystallisation and Grain Growth, Proceedings of the First Joint Conference, Springer, Berlin (2001) 1053-1060
Van Houtte, P., Li, S., Seefeldt, M., Delannay, L.: Deformation texture prediction: from the Taylor model to the advanced Lamel model. Int J Plasticity 21 (2005) 589-624
Berveiller, M., Zaoui, A.: Modeling of the plastic behaviour of inhomogeneous media. J. Engng. Mater. Technol., 106 (1984) 295-298
Berbenni, S., Favier, V., Berveiller, M.: Impact of the grain size distribution on the yield stress of heterogeneous materials. Int J Plasticity 23 (2007) 114-142
Kröner, E.: Berechnung der elastischen konstanten des vielkristalls aus den konstanten des einskristalls. Z. Phys. (1958) 151
Lebensohn, R. A., Tome, 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
Molinari, A., Toth, L.: Tuning a self-consistent viscoplastic model by finite element results I: Modelling. Acta Metall. Mater. 42 (1994) 2453-2458
Rouff, C., Favier, V., Bigot, R., Berveiller, M., Robelet, M.: Micro-macro modeling of the steady-state semi-solid behavior. The 5th ESAFORM Conference on Material Forming (2002) Krakow, Poland
Sabar, H., Berveiller, M., Favier, V., Berbenni, S.: A new class of micro-macro models for elastic-viscoplastic heterogeneous materials. Int. J. of Solids and Structures 39 (2002) 3257-3276
Frénois, S.: Modélisation polycristalline du comportement mécanique du tantale. Application à la mise en forme par hydroformage. Ph. D. Thesis (2001) Ecole Centrale des Arts et Manufactures, Ecole Centrale Paris 139
Anand, L., Balasubramanian, S., Kothari, M.: Constitutive modelling of polycrystalline metals at large strains: Application to deformation processing, large plastic deformation of crystalline aggregates. International Centre for Mechanical Sciences, Courses and Lectures no376, Springer Verlag, 109-172
Beaudoin, A. J., Dawson, P. R., Mathur, K. K., Kocks, U. F., Korzekwa, D. A.: Application of polycrystal plasticity to sheet forming. Comp. Methods Appl. Mech. Eng. 117 (1994) 49-70
Bate, P.: Modelling deformation microstructure with the crystal plasticity finite-element method. Philos. T. Roy. Soc. A 357 (1999) 1589
Kalidindi, S. R., Bronkhorst, C. A., Anand, L.: Crystallographic texture evolution in bulk deformation processing of FCC metals. J. Mech. Phys. Solids 40 (1992) 537-569
Smit, R. J. M., Brekelmans, W. A. M., Meijer, H. E. H.: Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling. Comp. Meth. Appl. Mech. Eng. 155 (1998) 181-192
Miehe, C., Schröder, J., Schotte, J.: Computational homogenization analysis in finite plasticity, simulation of texture development in polycrystalline materials. Comp. Meth. Appl. Mech. Eng. 171 (1999) 387-418
Geers, M. G. D., Kouznetsova, V., Brekelmans, W. A. M.: Constitutive approaches for the multi-level analysis of the mechanics of microstructures. 5th National Congress on Theoretical and Applied Mechanics, Louvain-la-Neuve, May 23-24 (2000)
Feyel, F., Chaboche, J. L.: Multiscale non linear FE analysis of composite structures: damage and fiber size effects. Euromech 417, October 2-4(2000), University of Technology of Troyes, France
Delannay, L., Logé, R. E., Signorelli, J. W., Chastel, Y.: Evaluation of a multisite model for prediction of rolling textures in hcp metals. Int. J. of Form. Proc. 8 (2005) 131
Delannay, L., Loge, R. E., Chastel, Y., Van Houtte, P.: Prediction of intergranular strains in cubic metals using a multisite elastic-plastic model. Acta Mater. 50 (2002) 5127-5138
Delannay, L., Kalidindi, S. R., Van Houtte, P.: Quantitative prediction of texture in aluminium cold rolled to moderate strains. Mater. Sci. Eng. A 336 (2002) 233-244
Kumar, A., Dawson, P. R.: The simulation of texture evolution during bulk deformation processes using finite elements over orientation space. Simulation of Materials Processing: Theory, Methods and Applications, Shen & Dawson, Balkema (1995)
Kumar, A., Dawson, P. R.: Polycrystal plasticity modeling of bulk forming with finite elements over orientation space. Comp. Mech. 17 (1995) 10-25
Kumar, A., Dawson, P. R.: The simulation of texture evolution with finite elements over orientation space. I. Development, II. Application to planar crystals. Comp. Methods Appl. Mech. Eng. 130 (1996) 227-261
Dawson, P. R., Kumar, A.: Deformation process simulations using polycrystal plasticity. Large plastic deformation of crystalline aggregates, International Centre for Mechanical Sciences, Courses and Lectures no376, Springer Verlag (1997) 247
Clement, A.: Prediction of deformation texture using a physical principle of conservation. Mater. Sci. Eng. 55 (1982) 203-210
Van Houtte, P.: Application of Plastic Potentials to Strain Rate Sensitive and Insensitive Anisotropic Materials. Int. J. Plasticity 10 (1994) 719-748
Van Bael, A., Van Houtte, P.: Convex fourth and sixth-order plastic potentials derived from crystallographic texture. J. Phys. IV France 105 (2003) 39-46
Van Houtte, P., Van Bael, A.: Convex plastic potentials of fourth and sixth rank for anisotropic materials. Int. J. Plasticity 20 (2004) 1505-1524
Arminjon, M., Bacroix, B., Imbault, D., Raphanel, J. L.: A fourth-order plastic potential for anisotropic metals and its analytical calculation from the texture function. Acta Mech. 107 (1994) 33-51
Bacroix, B., Gilormini, P.: Finite element simulations of earing in polycrystalline materials using a texture-adjusted strain-rate potential. Model. Simulation Mater. Sci. Eng. 3 (1995) 1-21
Zhou, Y., Jonas, J. J., Szabo, L., Makinde, A., Jain, M., MacEwen, S. R.: Incorporation of an anisotropic (texture-based) strain-rate potential into three-dimensional finite element simulations. Int. J. Plasticity 13 (1997) 165-181
Darrieulat, M., Montheillet, F.: A texture based continuum approach for predicting the plastic behaviour of rolled sheet. Int. J. Plasticity 19 (2003) 517-546
Maudlin, P. J., Wright, S. I., Kocks, U. F., Sahota, M. S.: An application of multisurface plasticity theory: yield surfaces of textured materials. Acta Mater. 44 (1996) 4027-4032
Tomé, C. N., Maudlin, P. J., Lebensohn, R. A., Kaschner, G. C.: Mechanical response of zirconium-I. Derivation of a polycrystal constitutive law and finite element analysis. Acta Mater. 49 (2001) 3085-3096
Habraken, A. M., 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
Duchêne, L., El Houdaigui, F., Habraken, A. M.: Length changes and texture prediction during free end torsion test of copper bars with fem and remeshing techniques. International Journal of Plasticity (2007) doi: 10.1016/j.ijplas.2007.01.008
Van Bael, A., He, S., Van Houtte, P., Delannay, L., Duchêne, L., Habrakne, A. M.: Finite element simulations of cup drawing using the Taylor and the Lamel model. The 7th ESAFORM Conference on Material Forming (2004) Trondheim, Norway
Madej, L., Kuziak, R., Pietrzyk, M.: Validation of the history dependant constitutive law under varying conditions of hot deformation. The 6th ESAFORM Conference on Material Forming (2003) Salerno, Italy
Pietrzyk, M.: Numerical aspects of the simulation of hot metal forming using internal variable method. Metall. Foundry Eng. 20 (1994) 429-439
Luce, R., Aretz, H., Kopp, R., Goerdeler, M., Gottstein, G.: Microstructure simulation of multistep hot forming processes. The 4th ESAFORM Conference on Material Forming (2001) Liège, Belgium
Van Rompaey, T., Lani, F., Pardoen, T., Blanpain, B., Wollants, P.: Micromechanical study of the martensitic transformation in TRIP-assisted multi-phase steels. Solid State Transformation and Heat Treatment, ed. A. Hazotte, Wiley-VCH (2005) 87-94
Van Rompaey, T., Furnemont, Q., Jacques, P. J., Pardoen, T., Blanpain, B., Wollants, P.: Micromechanical modelling of TRIP steels. Steel Research International 74-6 (2003) 365-369
Pietrzyk, M., Roucoules, C., Hodgson, P. D.: Dislocation model for work hardening and recrystallization applied to the finite element simulation of hot forming. Proc. Conf. NUMIFORM (1995) 315-320
Cheong, K. S., Busso, E. P., Arsenlis, A.: A study of microstructural length scale effects on the behaviour of FCC polycrystals using strain gradient concepts. Int. J. Plast. 21 (2005) 1797-1814
Madej, L., Pietrzyk, M.: Analysis of possibilities of material behaviour modelling during hot plastic deformation. Metall. Foundry Eng. Special issue (2001) 143-149
Ordon, J., Kuziak, R., Pietrzyk, M.: History dependant constitutive law for austenitic steels. Proc. Metal Forming Conference (2000) Krakow, Poland, 747-753
Ordon, J., Pietrzyk, M., Kedzierski, Z., Kuziak, R.: Constitutive model based on two internal variables for constant and changing deformation conditions. Thermomechanical Processing Conference (2002) Sheffield, UK
Evers, L. P., Parks, D. M., Brekelmans, W. A. M., Geers, M. G. D.: Crystal plasticity model with enhanced hardening by geometrically necessary dislocation accumulation. Journal of the Mechanics and Physics of Solids 50 (2002) 2403-2424
Evers, L. P., Brekelmans, W. A. M., Geers, M. G. D.: Non-local crystal plasticity model with intrinsic SSD and GND effects. Journal of the Mechanics and Physics of Solids 52 (2004) 2379-2401
Evers, L. P., Brekelmans, W. A. M., Geers, M. G. D.: scale dependent crystal plasticity framework with dislocation density and grain boundar effects. Int. J. of Solids and Structures 41 (2004) 5209-5230
Teodosiu, C., Hu, Z.: Evolution of the intergranular microstructure at moderate and large strains: modelling and computational significance. In Simulation of Materials Processing: Theory, Methods and Applications, NUMIFORM, Shen SF, Dawson PR (Eds.), Balkema, Rotterdam (1995) 173-182
Haddadi, H., Bouvier, S., Banu, M., Maier, C., Teodosiu, C.: Towards an accurate description of the anisotropic behaviour of sheet metals under large plastic deformations: Modelling, numerical analysis and identification. Int. J. Plasticity 22 (2006) 2226-2271
Bouvier, S., Haddadi, H.: Modelling the behaviour of a bake-hardening steel using a dislocation structure based model. The 4th ESAFORM Conference on Material Forming (2001) Liège, Belgium
Duchêne, L., de Montleau, P., El Houdaigui, F., Bouvier, S., Habraken, A. M.: Analysis of texture evolution and hardening behaviour during deep drawing with an improved mixed type FEM element. Proc. Conf. NUMISHEET (2005)
Levkovitch, V., Svendsen, B., Wang, J.: Micromechanically motivated phenomenological modelling of induced flow anisotropy and its application to metal forming processes with complex strain path changes. The 9th ESAFORM Conference on Material Forming (2006) Glasgow, UK
Roters, F., Raabe, D., Gottstein, G.: Work hardening in heterogeneous alloys - a microstructural approach based on three internal state variables. Acta Mater. 48 (2000) 4181-4189
Franz G., Abed-Meraim, Ben Zineb T. Lemoine X., Berveiller M.: A multiscale model based on intragranular microstructure - Prediction of dislocation patterns at microscopic scale, The 10th ESAFORM Conference on Material Forming (2007) Zaragoza, Spain.
Plunkett B., Lebensohn R. A., Cazacu O., Barlat F.: Anisotropic yield function of hexagonal materials taking into account texture development and anisotropic hardening, Acta Mater., 54 (2006) 4159-4169
Dunlop J. W., Bréchet Y. J. M., Legras L., Estrin Y.: Dislocation density-based modelling of plastic deformation of Zircaloy-4, Materials Science and Engineering A, 443 (2007) 77-86