C. Fernandes, A. J. Pontes, J. C. Viana, and A. Gaspar-Cunha, "Modeling and optimization of the injection-molding process: A review," Adv. Polym. Technol. 37, 429-449 (2018). 10.1002/adv.21683
C. A. Hieber and S. F. Shen, "A finite-element/finite-difference simulation of the injection-molding filling process," J. Non-Newtonian Fluid Mech. 7, 1-32 (1980). 10.1016/0377-0257(80)85012-9
M. Ren, J. Gu, Z. Li, S. Ruan, and C. Shen, "Simulation of polymer melt injection molding filling flow based on an improved SPH method with modified low-dissipation Riemann solver," Macromol. Theory Simul. 31, 2100029 (2022). 10.1002/mats.202100029
C. Shen, W. Lixia, and Q. Li, "Optimization of injection molding process parameters using combination of artificial neural network and genetic algorithm method," J. Mater. Process. Technol. 183, 412-418 (2007). 10.1016/j.jmatprotec.2006.10.036
M. V. Bruschke and S. G. Advani, "A finite element/control volume approach to mold filling in anisotropic porous media," Polym. Compos. 11, 398-405 (1990). 10.1002/pc.750110613
E. Holm and H. P. Langtangen, "A unified finite element model for the injection molding process," Comput. Methods Appl. Mech. Eng. 178, 413-429 (1999). 10.1016/S0045-7825(99)00029-8
H. Chen, P. Wapperom, and D. G. Baird, "The use of flow type dependent strain reduction factor to improve fiber orientation predictions for an injection molded center-gated disk," Phys. Fluids 31, 123105 (2019). 10.1063/1.5129679
R.-Y. Chang and W.-h. Yang, "Numerical simulation of mold filling in injection molding using a three-dimensional finite volume approach," Int. J. Numer. Methods Fluids 37, 125-148 (2001). 10.1002/fld.166
P. H. Foss, H.-C. Tseng, J. Snawerdt, Y.-J. Chang, W-h. Yang, and C.-H. Hsu, "Prediction of fiber orientation distribution in injection molded parts using moldex3D simulation," Polym. Compos. 35, 671-680 (2014). 10.1002/pc.22710
S. Xue, N. Phan-Thien, and R. I. Tanner, "Three dimensional numerical simulations of viscoelastic flows through planar contractions," J. Non-Newtonian Fluid Mech. 74, 195-245 (1998). 10.1016/S0377-0257(97)00072-4
E. Bertevas, J. Férec, B. C. Khoo, G. Ausias, and N. Phan-Thien, "Smoothed particle hydrodynamics (SPH) modeling of fiber orientation in a 3D printing process," Phys. Fluids 30, 103103 (2018). 10.1063/1.5047088
Y. Morii and T. Kawakatsu, "Lagrangian multiscale simulation of complex flows," Phys. Fluids 33, 093106 (2021). 10.1063/5.0063059
T. Ye, D. Pan, C. Huang, and M. Liu, "Smoothed particle hydrodynamics (SPH) for complex fluid flows: Recent developments in methodology and applications," Phys. Fluids 31, 011301 (2019). 10.1063/1.5068697
X.-J. Fan, R. I. Tanner, and R. Zheng, "Smoothed particle hydrodynamics simulation of non-Newtonian moulding flow," J. Non-Newtonian Fluid Mech. 165, 219-226 (2010). 10.1016/j.jnnfm.2009.12.004
L. He, G. Lu, D. Chen, W. Li, L. Chen, J. Yuan, and C. Lu, "Smoothed particle hydrodynamics simulation for injection molding flow of short fiber-reinforced polymer composites," J. Compos. Mater. 52, 1531-1539 (2018). 10.1177/0021998317726365
K. Wu, L. Wan, H. Zhang, and D. Yang, "Numerical simulation of the injection molding process of short fiber composites by an integrated particle approach," Int. J. Adv. Manuf. Technol. 97, 3479-3491 (2018). 10.1007/s00170-018-2204-6
X. Xu and P. Yu, "Modeling and simulation of injection molding process of polymer melt by a robust SPH method," Appl. Math. Modell. 48, 384-409 (2017). 10.1016/j.apm.2017.04.007
X. Xu and P. Yu, "Extension of SPH to simulate non-isothermal free surface flows during the injection molding process," Appl. Math. Modell. 73, 715-731 (2019). 10.1016/j.apm.2019.02.048
J. Kuhnert, "General smoothed particle hydrodynamics," Ph.D. thesis (Technische Universität Kaiserslautern, Aachen, 1999).
A. Jefferies, J. Kuhnert, L. Aschenbrenner, and U. Giffhorn, "Finite pointset method for the simulation of a vehicle travelling through a body of water," in Meshfree Methods for Partial Differential Equations VII, edited by M. Griebel and M. A. Schweitzer (Springer International Publishing, Cham, 2015), pp. 205-221.
I. Michel, S. M. I. Bathaeian, J. Kuhnert, D. Kolymbas, C.-H. Chen, I. Polymerou, C. Vrettos, and A. Becker, "Meshfree generalized finite difference methods in soil mechanics-Part II: Numerical results," GEM Int. J. Geomath. 8, 191-217 (2017). 10.1007/s13137-017-0096-5
I. Michel, T. Seifarth, J. Kuhnert, and P. Suchde, "A meshfree generalized finite difference method for solution mining processes," Comput. Part. Mech. 8, 561-574 (2021). 10.1007/s40571-020-00353-2
E. O. Reséndiz-Flores, J. Kuhnert, and F. R. Saucedo-Zendejo, "Application of a generalized finite difference method to mould filling process," Eur. J. Appl. Math. 29, 450-469 (2018). 10.1017/S0956792517000249
E. Oñate, J. Rojek, M. Chiumenti, S. Idelsohn, F. Del Pin, and R. Aubry, "Advances in stabilized finite element and particle methods for bulk forming processes," Comput. Methods Appl. Mech. Eng. 195, 6750-6777 (2006). 10.1016/j.cma.2004.10.018
K. Butler, E. Oñate, S. Idelsohn, and R. Rossi, "Modeling polymer melt flow using the particle finite element method (PFEM)," in Proceeding of The Interflam Conference (2007).
M. Cremonesi, A. Franci, S. Idelsohn, and E. Oñate, "A state of the art review of the particle finite element method (PFEM)," Arch. Comput. Methods Eng. 27, 1709-1735 (2020). 10.1007/s11831-020-09468-4
Grand View Research, "Injection molded plastics market size, share & trends analysis report by raw material (polypropylene, ABS, HDPE, polystyrene), by application (packaging, automotive & transportation, medical), by region, and segment forecasts, 2021-2028," Report No. 978-1-68038-128-3 (2021).
Injection Molding Handbook, edited by D. V. Rosato, D. V. Rosato, and M. G. Rosato, 3 rd ed. (Springer, Boston, MA, 2000).
R. Zheng, R. I. Tanner, and X. J. Fan, Injection Molding: Integration of Theory and Modeling Methods (Springer, Berlin/Heidelberg, 2011).
Computer Modeling for Injection Molding: Simulation, Optimization, and Control, edited by H. Zhou (Wiley, Hoboken, NJ, 2013).
D. W. van Krevelen and K. te Nijenhuis, Properties of Polymers: Their Correlation with Chemical Structure, Their Numerical Estimation and Prediction from Additive Group Contributions, 4th ed. (Elsevier, Amsterdam, 2009).
P. Zoller and Y. A. Fakhreddine, "Pressure-volume-temperature studies of semi-crystalline polymers," Thermochim. Acta 238, 397-415 (1994). 10.1016/S0040-6031(94)85221-9
C. A. Hieber, "Modelling the PVT behavior of isotactic polypropylene," Int. Polym. Process. 12, 249-256 (1997). 10.3139/217.970249
N. Rudolph and T. A. Osswald, Polymer Rheology: Fundamentals and Applications (Carl Hanser Verlag GmbH & Company KG, 2014).
P. Suchde, J. Kuhnert, S. Schröder, and A. Klar, "A flux conserving meshfree method for conservation laws," Int. J. Numer. Methods Eng. 112, 238-256 (2017). 10.1002/nme.5511
R. Brunotte, Die Thermodynamischen Und Verfahrenstechnischen Abläufe Der in-situ-Oberflächenmodifizierung Beim Spritzgießen, Schriftenreihe Kunststoffe (FKTU, 2006).
P. Suchde and J. Kuhnert, "Point cloud movement for fully Lagrangian meshfree methods," J. Comput. Appl. Math. 340, 89-100 (2018). 10.1016/j.cam.2018.02.020
H. A. van der Vorst, "Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems," SIAM J. Sci. Stat. Comput. 13, 631-644 (1992). 10.1137/0913035
P. Suchde, J. Kuhnert, and S. Tiwari, "On meshfree GFDM solvers for the incompressible Navier-Stokes equations," Comput. Fluids 165, 1-12 (2018). 10.1016/j.compfluid.2018.01.008
J. Kuhnert, "Meshfree numerical scheme for time dependent problems in fluid and continuum mechanics," in Advances in PDE Modeling and Computation, edited by S. Sundar (Anne Books, New Delhi, 2014), pp. 119-136.
C. Drumm, S. Tiwari, J. Kuhnert, and H.-J. Bart, "Finite pointset method for simulation of the liquid-liquid flow field in an extractor," Comput. Chem. Eng. 32, 2946-2957 (2008). 10.1016/j.compchemeng.2008.03.009
B. Seibold, "M-matrices in meshless finite difference methods," Ph.D. thesis (Kaiserslautern University, 2006).
T. Seifarth, "Numerische Algortihmen Für gitterfreie Methoden zur Lösung von Transportproblemen," Ph.D. thesis (University of Kassel, Kassel, 2017).
E. Kwan-yu Chiu, Q. Wang, R. Hu, and A. Jameson, "A conservative mesh-free scheme and generalized framework for conservation laws," SIAM J. Sci. Comput. 34, 2896-2916 (2012). 10.1137/110842740
P. Suchde, "Conservation and accuracy in meshfree generalized finite difference methods," Ph.D. thesis (University of Kaiserslautern, Kaiserslautern, Germany, 2018).
T. Liszka and J. Orkisz, "Special issue-computational methods in nonlinear mechanics the finite difference method at arbitrary irregular grids and its application in applied mechanics," Comput. Struct. 11, 83-95 (1980). 10.1016/0045-7949(80)90149-2
J. Benito, F. Ureña, and L. Gavete, "Influence of several factors in the generalized finite difference method," Appl. Math. Modell. 25, 1039-1053 (2001). 10.1016/S0307-904X(01)00029-4
S. Milewski, "Selected computational aspects of the meshless finite difference method," Numer. Algorithms 63, 107-126 (2013). 10.1007/s11075-012-9614-6
C.-M. Fan, C.-N. Chu, B. Šarler, and T.-H. Li, "Numerical solutions of waves-current interactions by generalized finite difference method," Eng. Anal. Boundary Elem. 100, 150-163 (2019). 10.1016/j.enganabound.2018.01.010
P. Suchde, "A meshfree Lagrangian method for flow on manifolds," Int. J. Numer. Methods Fluids 93, 1871-1894 (2021). 10.1002/fld.4957
Y. Wang, Y. Gu, and J. Liu, "A domain-decomposition generalized finite difference method for stress analysis in three-dimensional composite materials," Appl. Math. Lett. 104, 106226 (2020). 10.1016/j.aml.2020.106226
H. Xia and Y. Gu, "Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures," Appl. Math. Lett. 117, 107084 (2021). 10.1016/j.aml.2021.107084
J. P. Morris, P. J. Fox, and Y. Zhu, "Modeling low Reynolds number incompressible flows using SPH," J. Comput. Phys. 136, 214-226 (1997). 10.1006/jcph.1997.5776
J. O. Cruickshank, "Low-Reynolds-number instabilities in stagnating jet flows," J. Fluid Mech. 193, 111-127 (1988). 10.1017/S0022112088002071
E. Mitsoulis, "Fountain flow of pseudoplastic and viscoplastic fluids," J. Non-Newtonian Fluid Mech. 165, 45-55 (2010). 10.1016/j.jnnfm.2009.09.001
X. J. Fan, R. I. Tanner, and R. Zheng, "Smoothed particle hydrodynamics and its application to non-Newtonian moulding flow," in Injection Molding: Process, Design, and Applications, edited by Phoebe H. Kauffer (Nova Science Publishers, 2011), pp. 101-154.
