3D flow and fibre orientation modelling of compression moulding of A-SMC: simulations and experimental validation in squeeze flow

Gustaf Alnersson1,2, Erik Lejon2, Hana Zrida2, Yvonne Aitomäki3, Anna‐Lena Ljung1, T. Staffan Lundström1
1Division of Fluid and Experimental Mechanics, Luleå University of Technology, Luleå, Sweden
2Gestamp Hardtech, Luleå, Sweden
3RISE Sicomp, Öjebyn, Sweden

Tóm tắt

AbstractSheet Moulding Compound (SMC) based composites have a large potential in industrial contexts due to the possibility of achieving comparatively short manufacturing times. It is however necessary to be able to numerically predict both mechanical properties as well as manufacturability of parts.In this paper a fully 3D, semi-empirical model based on fluid mechanics for the compression moulding of SMC is described and discussed, in which the fibres and the resin are modelled as a single, inseparable fluid with a viscosity that depends on volume fraction of fibres, shear strain rate and temperature. This model is applied to an advanced carbon-fibre SMC with a high fibre volume fraction (35%). Simulations are run on a model of a squeeze test rig, allowing comparison to experimental results from such a rig. The flow data generated by this model is then used as input for an Advani-Tucker type of model for the evolution of the fibre orientation during the pressing process. Numerical results are also obtained from the software 3DTimon. The resulting fibre orientation distributions are then compared to experimental results that are obtained from microscopy. The experimental measurement of the orientation tensors is performed using the Method of Ellipses. A new, automated, accurate and fast method for the ellipse fitting is developed using machine learning. For the studied case, comparison between the experimental results and numerical methods indicate that 3D Timon better captures the random orientation at the outer edges of the circular disc, while 3D CFD show larger agreement in terms of the out-of-plane component. One of the advantages of the new image technique is that less work is required to obtain microscope images with a quality good enough for the analysis.

Từ khóa


Tài liệu tham khảo

G. Alnersson, M.W. Tahir, A.L. Ljung, T.S. Lundström, Review of the numerical modeling of compression molding of sheet molding compound. Processes 8(2), 1–12 (2020)

L.J. Lee, L.F. Marker, R.M. Griffith, The rheology and mold flow of polyester sheet molding compound. Polym Compos 2(4), 209–218 (1981)

S. Le Corre, L. Orgeas, D. Favier, A. Tourabi, A. Maazouz, C. Venet, Shear and compression behaviour of sheet moulding compounds. Compos Sci Technol 62(4), 571–577 (2002)

S. Le Corre, D. Favier, P. Dumont, L. Orgeas, Anisotropic viscous behavior of sheet molding compounds (SMC) during compression molding. Int J Plast 19, 625–646 (2003)

P. Dumont, L. Orgeas, D. Favier, P. Pizette, C. Venet, Compression moulding of SMC: in situ experiments, modelling and simulation. Compos Part A: Appl Sci Manufac 38(2), 353–368 (2007)

Vahlund FC, Gebart RB. Squeeze flow rheology in large tools. In: Proceedings of the 5th International Conference on Flow Processes in Composite Materials, Plymouth, UK. 1999. p. 365-372.

MR. Barone, DA. Caulk, Kinematics of flow in sheet molding compounds. Polymer composites 6(2), 105–9 (1985)

Olsson, N. E. J., Lundström, T. S., & Olofsson, K. (2009). Design of experiment study of compression moulding of SMC. Plastics, rubber and composites, 38(9-10), 426-431.

F. Folgar, C.L. Tucker, Orientation behavior of fibers in concentrated suspensions. J Reinf Plast Compos 3(2), 98–119 (1984)

S.G. Advani, C.L. Tucker, The use of tensors to describe and predict fiber orientation in short fiber composites. J Rheol 31(8), 751–784 (1987)

J. Wang, J.F. O’Gara, C.L. Tucker, An objective model for slow orientation kinetics in concentrated fiber suspensions: theory and rheological evidence. J Rheol 52(5), 1179–1200 (2008)

H.C. Tseng, R.Y. Chang, C.H. Hsu, Phenomenological improvements to predictive models of fiber orientation in concentrated suspensions. J Rheol 57(6), 1597–1631 (2013)

H.C. Tseng, R.Y. Chang, C.H. Hsu, An objective tensor to predict anisotropic fiber orientation in concentrated suspensions. J Rheol 60, 215–224 (2016)

G. Alnersson, TS. Lundström, A-L. Ljung. Numerical study of the 3D-flow characteristics during compression moulding of SMC. In: 22nd International Conference on Composite Materials (ICCM22), Melbourne, Australia, August 11-16, 2019. RMIT University, 2019. p. 1571-1581.

M. Kobayashi, K. Dan, T. Baba, D. Urakami, Compression molding 3D-Cae of discontinuous long fiber reinforced polyamide 6: Influence on cavity filling and direct fiber simulations of viscosity fitting methods. 20th International Conference on Composites Materials 19, 1–12 (2015)

YA. Cengel, JM. Cimbala. Fluid Mechanics: Fundamentals and Applications. 3rd ed. McGraw-Hill, New York, NY; 2014.

N.E.J. Kluge, T.S. Lundström, L.G. Westerberg, K. Olofsson, Compression moulding of sheet moulding compound: modelling with computational fluid dynamics and validation. J Reinf Plast Compos 34(6), 479–492 (2015)

M. Sepehr, P.J. Carreau, M. Moan, G. Ausias, Rheological properties of short fiber model suspensions. J Rheol 48(5), 1023–1048 (2004)

S.M. Högberg, H.O. Åkerstedt, T.S. Lundström, J.B. Freund, Respiratory deposition of fibers in the non-inertial regimedevelopment and application of a semi-analytical model. Aerosol Sci Technol 44(10), 847–860 (2010)

S.G. Advani, C.L. Tucker, Closure approximations for three-dimensional structure tensors. J Rheol 34(3), 367–386 (1990)

G.L. Hand, A theory of anisotropic fluids. J Fluid Mech 13(1), 33–46 (1962)

C. Eberhardt, A. Clarke, Fibre-orientation measurements in short-glass-fibre composites. Part I: automated, high-angular-resolution measurement by confocal microscopy. Compos Sci Technol 61(10), 1389–1400 (2001)

C. Eberhardt, A. Clarke, M. Vincent, T. Giroud, S. Flouret, Fibre-orientation measurements in short-glass-fibre composites — part II: a quantitative error estimate of the 2D image analysis technique. Compos Sci Technol 61(13), 1961–1974 (2001)

N.D. Sharp, J.E. Goodsell, A.J. Favaloro, Measuring fiber orientation of elliptical fibers from optical microscopy. J Compos Sci 2019;3(1).

A.R. Clarke, G. Archenhold, N.C. Davidson, A novel technique for determining the 3D spatial distribution of glass fibres in polymer composites. Compos Sci Technol 55(1), 75–91 (1995)

B. Mlekusch, E.A. Lehner, W. Geymayer, Fibre orientation in short-fibre-reinforced thermoplastics I. contrast enhancement for image analysis. Compos Sci Technol 59(4), 543–545 (1999)

G.M. Velez-Garc´ıa, P. Wapperom, V. Kunc, D.G. Baird, A. Zink-Sharp, Sample preparation and image acquisition using optical-reflective microscopy in the measurement of fiber orientation in thermoplastic composites. J Microsc 248(1), 23–33 (2012)

K. He, G. Gkioxari, P. Doll’ar, R. Girshick, Mask R-CNN. IEEE Trans Pattern Anal Mach intell 42(2), 386–397 (2020)

P.T. Odenberger, H.M. Andersson, T.S. Lundstr√∂m, Experimental flow-front visualisation in compression moulding of SMC. Composites Part A 32, 1125–1134 (2004)

N.E.J. Olsson, T.S. Lundström, K. Olofsson, A design of experimental study of compression moulding of SMC plastics. Rubber Composites 38(9/10), 428–433 (2009)