Abstract
Both flow- and thermally-induced residual stresses which arise during the injection molding of amorphous thermoplastic polymers are calculated in the filling and post-filling stage. To achieve this, a compressible version of the Leonov model is employed. Two techniques to calculate flow-induced residual stresses are investigated. First, a direct approach is developed where the pressure problem is formulated using the viscoelastic material model. Second, generalized Newtonian material behavior is assumed in formulating the pressure problem, and the resulting flow kinematics is used to calculate normal stresses employing the compressible Leonov model. The latter technique gives comparable results, while reducing the computational cost significantly.
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References
Boshouwers G, Werf J v d (1988) Inject-3, a simulation code for the filling stage of the injection moulding process of thermoplastics. Ph D Thesis, Eindhoven Univ Technology
Sitters C (1988) Numerical simulation of injection moulding. Ph D Thesis, Eindhoven Univ Technology
Manzione LT (1988) Application of Computer Aided Design in injection molding. Hanser Publ, NY, USA
Isayev AI, Hieber CA (1980) Toward a viscoelastic modeling of the injection molding of polymers. Rheol Acta 19:168–182
Leonov AI (1976) Nonequilibrium thermodynamics and rheology of viscoelastic polymer media. Rheol Acta 15:85–98
Stickforth J (1986) The rational mechanics and thermodynamics of polymeric fluids based upon the concept of a variable reference state. Rheol Acta 25:447–458
Simo JC (1987) On a fully three dimensional finite strain viscoelastic damage model: formulation and computational aspects. Comp Meth Appl Mech Eng 60:153–173
Upadyay RK, Isayev AI, Shen SF (1981) Transient shear flow behaviour according to the Leonov model. Rheol Acta 20:443–457
Leonov AI (1987) On a class of constitutive equations for viscoelastic liquids. J Non-Newtonian Fluid Mech 15:1–59
Zoller PA (1982) A study of the pressure-volume-temperature relationships of four related amorphous polymers: polycarbonate, polyarylate, phenoxy and polysulfone. Polym Sci 20:1453–1464
Pironneau O (1982) On the transport-diffusion algorithm and its application to the Navier-Stokes equation. Numer. Math 38:309–332
Morton KW, Priestly A, Suli E (1986) Stability analysis of the Lagrange-Galerkin method with non-exact integration. Oxford University Computing Laboratory, Report 86/14
Wimberger-Friedl R, Janeschitz-Kriegl H (1989) Residual birefringence in Compact Discs, submitted for publication
Hughes TJR (1987) The finite element method. Prentice-Hall International Editions, Englewood Cliffs, New Jersey
Wimberger-Friedl R, Hendriks RDHM (1989) The measurement and calculation of birefringence in quenched polycarbonate specimens. Polymer 30:1143–1149
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Baaijens, F. Calculation of residual stresses in injection molded products. Rheol Acta 30, 284–299 (1991). https://doi.org/10.1007/BF00366642
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DOI: https://doi.org/10.1007/BF00366642