Abstract
A general model for predicting the total residual stresses generated during filling and cooling stages of injection-molded parts has been developed. The model takes into account the phenomena associated with non-isothermal stress relaxation. The main hypothesis in our approach is to use the kinematics of a generalized Newtonian fluid at the end of the filling stage as the initial state for the calculation of residual flow stresses. These stresses are calculated using a single integral rheological model (Wagner model). The calculation of stresses developed during the cooling stage is based on a thermoviscoelastic model with structural relaxation. Illustrative results emphasizing the effect of both the melt temperature and the flow rate during the filling stage are presented.
Similar content being viewed by others
References
Baaijens FTP (1991) Calculation of residual stresses in injection molded products. Rheol Acta 30:284–299
Bird RB, Armstrong RC, Hassager O (1987) Dynamics of Polymeric Liquids, Vol 1: Fluid Mechanics, 2nd ed. John Wiley & Sons
Christensen RA (1971) Theory of viscoelasticity. Academic Press
Couniot A (1991) Ph. D. Thesis. Université Catholique de Louvain, Belgique
Crochet MJ, Davies AR, Walters K (1984) Numerical simulation of non-Newtonian flow. Elsevier, Amsterdam
Dupret F, Vanderschuren L (1988) Calculation of the temperature field in injection molding. AIChE Jl 34:1959–1972
Ferry JD (1970) Mechanical properties of polymers, 2nd ed. Wiley & Sons
Flaman AAM (1993) Buildup and relaxation of molecular orientation in injection molding. Part I: Formulation. Polym Ing Sci 33:193–201
Flaman AAM (1993) Buildup and relaxation of molecular orientation in injection molding. Part II: Experimental verification. Polym Ing Sci 33:202–210
Greener J, Pearson GH (1983) Orientation residual stresses and birefringence in injection molding. J Rheol 27:115–134
Greener J, Kesel R, Contestable BA (1989) The birefringence problem in optical disk substrates: A modeling approach. AIChE J 35:449–458
Hasnaoui C (1990) Msc A Thesis. Chem Eng Dept, Laval University, Canada
Isayev AI, Crouthamel DL (1984) Residual stress development in the injection molding of polymers. Polym-Plast Techn Eng 22:177–232
Isayev AI, Hieber CA (1980) Towards a viscoelastic modelling of the injection molding of polymers. Rheol Acta 19:168–182
Kabanemi KK, Crochet MJ (1992) Thermoviscoelastic calculation of residual stresses and residual shapes of injection molded parts. Int Poly Processing 7:60–70
Kabanemi KK, Dupret F (1992) Analysis of the influence of the packing stage on residual stresses and shrinkage of injection molded parts. In: Proc Num Meth Ind Form Processes. Balkema, Rotterdam, pp 357–363
Keunings R (1989) in: Tucker III CL (Ed) Fundamentals of computer modeling for polymer processing. Carl Hanser, München
Kovacs AJ (1958) La contraction isotherme du volume des polymères amorphes. J Polym Sci 30:131–147
Leonov AI (1976) Nonequilibrium thermodynamics and rheology of viscoelastic polymer media. Rheol Acta 15:85–98
Manas-Zloczower I, Blake JW, Macosco CW (1987) Space-time distribution in filling a mold. Polym Eng Sci 27:1229–1235
Marvidis H, Hrymak AN, Vlachopoulos J (1988) The effect of fountain flow on molecular orientation in injection molding. J Rheol 32:639–663
Narayanaswamy OS (1971) A model of structural relaxation in glass. J Amer Ceram Soc 54:491–498
Shyu GD, Isayev AI (1993) Residual birefringence in amorphous plastic products. SPE Antec Techn Papers 39:1673–1677
Tadmor Z (1974) Molecular orientation in injection molding. J Appl Polym Sci 18:1753–1772
Tanguy PA, Lacroix R (1991) A 3D mold filling study with significant heat effects. Int Poly Processing 6:19–25
Wagner MH (1979) Zur Netzwerktheorie von Polymer Schmelzen. Rheol Acta 18:33–50
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kabanemi, K.K., Aït-Kadi, A. & Tanguy, P.A. Prediction of residual flow and thermoviscoelastic stresses in injection molding. Rheol Acta 34, 97–108 (1995). https://doi.org/10.1007/BF00396058
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00396058