Convection of internal variable methodology in computational fluid dynamics solutions for thixoforming modelling

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Convection of internal variable methodology in computational fluid dynamics solutions for thixoforming modelling

Piotr Macioł

Interdisciplinary Centre for Materials Modelling, AGH University of Science and Technology.

DOI:

https://doi.org/10.7494/cmms.2007.1.0129

Abstract:

Thixoforming is a relatively new forming method, with high deformation of semi-solid material. From numerical point of view, such materials are difficult to simulate because of gathering some features of solid materials and some of fluids. Materials properties are history dependent like in solids, while deformations could be extremely high, like in fluids. A review of existing numerical solutions is presented in this paper, especially based on Computational Fluid Dynamics (CFD) methods with Eulerian and Arbitrary Lagrangian Eulerian (ALE) motion description. Need of new methodology for time-dependent materials behaviour simulations of thixoforming processes are pointed out. Convection of internal variable in Eulerian based simulations is introduced. Implementation as a user supplied procedure into a commercial Finite Element application ADINA-F® is shown. Results of simple thixotropic flow with some shear changes are presented.

Cite as:

Macioł, P. (2007). Convection of internal variable methodology in computational fluid dynamics solutions for thixoforming modelling. Computer Methods in Materials Science, 7(1), 112 – 118. https://doi.org/10.7494/cmms.2007.1.0129

Article (PDF):

Keywords:

Computational Fluid Dynamic (CFD), Internal variable, Thixoforming, Eulerian mesh

References:

Baravian, C., Quemada, D., Parker A., 1996, Modelling thixotropy using a novel structural kinetics approach: basis and application to a solution of iota carrageenan, J. Texture Stud. 27, 371–390.

Barnes, H., 1997, Thixotropy – a review, J. non-Newton. Fluid Mech., 70, 1–33.

Bellet, M., Moto Mpong, S., 2001, Determination of the constitutive equation parameters of a thixotropic Al alloy and FEM modelling of the thixoforming process, in: Proc. NUMIFORM 2001, ed. Mori, Lisse, 1087-1092.

Donea, J., Huerta, A., 2003, Finite Element Methods for Flow Problems, John Wiley & Sons Ltd., Chichester.

Goodeve, C. F., 1939, A general theory of thixotropy and viscosity, Trans. Faraday Soc., 35, 342-358.

Huilgol, R.R., You, Z., 2005, Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel–Bulkley fluids. J. non-Newton. Fluid Mech., 128(2-3), 126–143.

Joly, P. A., Mehrabian, R., 1976, The rheology of partially solid alloy. J. Mater. Sci., 11, 1393-1418.

Kapranos, P., Liu, T.Y., Atkinson, H.V., Kirkwood, D.H., 2001, Investigation into the rapid compression of semi-solid alloy slugs, J. Mat. Proc. Technol., 111, 31–36.

Kim, N. S., Kang, C.G., 2000. An investigation of flow characteristics considering the effect of viscosity variation in the thixoforming process. J. Mat. Proc. Technol., 103, 237–246.

Koke, J., Modigell, M., 2003, Flow behaviour of semi-solid metal alloys. J. non-Newton. Fluid Mech., 112, 141-160.

Kopp, R., Choi, J., Neudenberger, D., 2003. Simple compression test and simulation of an Sn15% Pb alloy in the semi-solid state, J. Mat. Proc. Technol., 135, 317–323.

Kumar, P., Martin, C. L., Brown, S., 1994, Constitutive modelling and characterization of the flow behaviour of semi-solid metal alloy slurries – I. The flow response, Acta Metall. Mater., 42, 3595-3602.

Martin, C. L., Kumar, P., Brown, S., 1994, Constitutive modelling and characterization of the flow behaviour of semi-solid metal alloy slurries – II. Structural evolution under shear deformation, Acta Metall. Mater., 42, 3603-3614.

Messmer, G., Simulation of a Thixoforging Process of Aluminium Alloys with Flow-3D. Internet, http://www. thixoschmieden.de/misc/Veroeffentlichungpdf/Mrglish. pdf.

Modigell, M., Koke, J., 1999, Time-Dependent Rheological Properties of Semi-Solid Metal Alloys, Mechanics of Time-Dependent Materials, 3, 15-30.

Modigell, M, Koke, J., 2001, Rheological modelling on semi-solid metal alloys and simulation of thixocasting processes. J. Mat. Proc. Technol., 111, 53-58.

Moore, F., 1959, The rheology of ceramic sleeps and bodies, Trans. Br. Ceramic Soc., 58, 470-494.

Mujumdar, A., Beris, A. N., Metzner, A. B., 2002, Transient phenomena in thixotropic systems, J. non-Newton. Fluid Mech., 102, 157-178.

Roussel, N., Le Roy, R., Coussot, P., 2004, Thixotropy modelling at local and macroscopic scales, J. non-Newton. Fluid Mech., 117, 85-95.

Slibar, A., Paslay, P. R., 1964, On the technical description of the flow of thixotropic materials, Proceeding of International Symposium on Second Order Effects in Elasticity, Plasticity and Fluid Dynamics, 1, 314-330.

Sołek, K., Stuczyński, T., Białobrzeski, A., Kuziak, R., Mitura, Z., 2005, Modelling thixocasting with precise accounting of moving front of material, Mater. Sci. Technol., 21, 551–558.

Zienkiewicz, O. C., Cormeau, I. C. 1974., Visco-plasticity – plasticity and creep in elastic solids – a unifed numerical solution approach, Int. J. Numer. Methods Eng, 8, 821-845.

Zienkiewicz, O. C., Taylor, R., L., 2000, The Finite Element Method, Butterworth-Heinemann, Oxford.