B. D. Vogt, Morand lambla plenary lecture, 33rd Annual Meeting of the Polymer Processing Society, 2017.

M. Nikzad, M. S. Hasan, I. Sbarski, and A. Groth, A study of melt flow analysis of an abs-iron composite in fused deposition modelling process, Tsinghua Sci. Technol, vol.14, issue.S1, pp.29-37, 2009.

M. E. Mackay, Z. R. Swain, C. R. Banbury, D. D. Phan, and D. A. Edwards, The performance of the hot end in a plasticating 3D printer, J. Rheol, vol.61, issue.2, pp.229-236, 2017.

D. D. Phan, Z. R. Swain, and M. E. Mackay, Rheological and heat transfer effects in fused filament fabrication, J. Rheol, vol.62, issue.5, pp.1097-1107, 2018.

A. Bellini, Fused deposition of ceramics: A comprehensive experimental, analytical and computational study of material behavior, fabrication process and equipment design, 2002.

C. Bellehumeur, L. Li, Q. Sun, and P. Gu, Modeling of bond formation between polymer filaments in the fused deposition modeling process, J. Manuf. Processes, vol.6, issue.2, pp.170-178, 2004.

Q. Sun, G. M. Rizvi, C. T. Bellehumeur, and P. Gu, Effect of processing conditions on the bonding quality of FDM polymer filaments, Rapid Prototyping J, vol.14, issue.2, pp.72-80, 2008.

R. S. Crokett, The liquid to solid transition in stereodeposition techniques, 1997.

B. N. Turner, R. Strong, and S. A. Gold, A review of melt extrusion additive manufacturing processes: I. process design and modeling, Rapid Prototyping J, vol.20, issue.3, pp.192-204, 2014.

J. Du, Z. Wei, X. Wang, J. Wang, and Z. Chen, An improved fused deposition modeling process for forming large-size thin-walled parts, J. Mater. Process. Technol, vol.234, pp.332-341, 2016.

R. Comminal, M. P. Serdeczny, D. B. Pedersen, and J. Spangenberg, Numerical modeling of the strand deposition flow in extrusion-based additive manufacturing, Addit. Manuf, vol.20, pp.68-76, 2018.

H. Xia, J. Lu, and G. Tryggvason, Fully resolved numerical simulations of fused deposition modeling. part ii -solidification, residual stresses and modeling of the nozzle, Rapid Prototyping J, vol.24, issue.6, pp.973-987, 2018.

M. Khalloufi, Y. Mesri, R. Valette, E. Massoni, and E. Hachem, High fidelity anisotropic adaptive variational multiscale method for multiphase flows with surface tension, Comput. Methods Appl. Mech. Eng, vol.307, pp.44-67, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01354154

R. Valette, T. Coupez, C. David, and B. Vergnes, A direct 3d numerical simulation code for extrusion and mixing processes, Int. Polym. Proc, vol.24, issue.2, pp.141-147, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00509483

S. Osher and J. A. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys, vol.79, issue.1, pp.12-49, 1988.

T. J. Coogan and D. O. Kazmer, In-line rheological monitoring of fused deposition modeling, J. Rheol, vol.63, issue.1, pp.141-155, 2019.

J. Agassant, P. Avenas, P. J. Carreau, B. Vergnes, and M. Vincent, Polymer processing: principles and modeling, 2017.