Abstract
In this chapter we discuss processes involving the stretching of thin sheets of molten or soft solid polymers. The mechanics are modelled on the basis of membrane theory (sheet thickness very small, in particular, small compared with principal radii of curvature of the sheet) and here, as in every published calculation, axial symmetry is assumed. The most significant forces acting on the polymer are boundary tractions and the force arising from any pressure difference across the sheet. Once the problem has grown to the complexity where computer solution of the equations is sought, the incorporation of the less significant forces into the model is straightforward. The influence of gravity may be moderately important and may easily be taken into consideration, as may inertia which is generally insignificant. Surface tension is not likely to be important unless very thin films are being produced, but only requires physical data in order to be incorporated in the model. Air drag likewise requires physical data, probably in the form of a correlation and some empirically determined coefficients.
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References
Farber, R. and Dealy, J. M. (1974). Strain history of melt in film blowing, Polym. Eng. Sci., 14, 435–40.
Fukase, H., Iwaaki, A. and Kunio, T. (1978). A method of calculating the wall thickness distribution in blow moulded articles, SPE Tech. Papers, 24, 650–2.
Gupta, R. K. (1980). A new non-isothermal rheological constitutive equation and its application to industrial film blowing processes, Ph.D. Thesis, University of Delaware.
Gupta, R. K. and Metzner, A. B. (1980). Non-isothermal flow of viscoelastic fluids, In Rheology, Vol. 3 (Ed. G. Astarita, G. Marrucci and L. Nicolais), Plenum Press, New York, pp. 3–8.
Gutteridge, P. A. (1977). A theoretical analysis of the film-blowing and related processes for elastic and viscoelastic materials, Ph.D. Thesis, Imperial College, London.
Han, C. D. (1976). Rheology in Polymer Processing, Academic Press, New York.
Han, C. D. and Park, J. Y. (1975). Studies on blown film extrusion II. Analysis of the deformation and heat transfer processes, J. Appl. Polym. Sci., 19, 3277–90.
Kamal, M. R., Tan, V. and Kaylon, D. (1981). Measurement and calculation of parison dimensions and bottle thickness distribution during blow moulding, Polym. Eng. Sci., 21, 331–8.
Middleman, S. (1977). Fundamentals of Polymer Processing, McGraw-Hill, New York.
Muller, R. R. (1973). Vacuumdieptrekken, Bachelor’s Dissertation, Twente University of Technology.
Pearson, J. R. A. (1982). Mechanics of Polymer Processing, Hemisphere, New York.
Pearson, J. R. A. and Gutteridge, P. A. (1978). Stretching flows for thin film production I. Bubble blowing in the solid phase, J. Non-Newtonian Fluid Mechanics, 4, 57–72.
Pearson, J. R. A. and Petrie, C. J. S. (1970). The flow of a tubular film. Part 2. Interpretation of the model and discussion of solutions, J. Fluid Mechanics, 42, 609–25.
Petrie, C. J. S. (1973). Memory effects in a non-uniform flow: a study of the behaviour of a tubular film of viscoelastic fluid, Rheol. Acta, 12, 92–9.
Petrie, C. J. S. (1974). Mathematical modelling of heat transfer in film blowing: a case study, Plastics and Polymers, 42, 259–64.
Petrie, C. J. S. (1975a). A comparison of theoretical predictions with published experimental measurements on the blown film process, AIChE J., 21, 275–82.
Petrie, C. J. S. (1975b). Mathematical modelling and the systems approach in plastics processing: the blown film process, Polym. Eng. Sci., 15, 708–24.
Petrie, C. J. S. (1975c). The analysis of polymer processing operations involving free surface elongational flows. In Polymer Rheology and Plastics Processing (Ed. P. L. Clegg, F. N. Cogswell, D. E. Marshall and S. G. Maskell), Plastics and Rubber Institute, London, pp. 307–19.
Petrie, C. J. S. and Ito, K. (1980). Prediction of wall thickness of blow moulded containers, Plastics and Rubber: Processing, 5, 68–72.
Thompson, J. W. (1975). An elastic model for the film-blowing process and problems in its numerical solution, M.Sc. Dissertation, University of Newcastle upon Tyne.
Wagner, M. H. (1976). Ein rheologisch-thermodynamisches Proze Bmodell des Folienblasverfahrens, Dr.-Ing. Dissertation, Universitat Stuttgart.
Williams, J. G. (1970). A method of calculation for thermoforming plastics sheets, J. Strain Anal., 5, 49–57.
Wineman, A. S. (1976). Large axisymmetric inflation of a nonlinear viscoelastic membrane by lateral pressure, Trans. Soc. Rheol., 20, 203–25.
Wineman, A. S. (1978). On axisymmetric deformations of nonlinear viscoelastic membranes, J. Non-Newtonian Fluid Mechanics, 4, 249–60.
Wineman, A. S. (1979). On the simultaneous elongation and inflation of a tubular membrane of BKZ fluid, Non-Newtonian Fluid Mechanics, 6, 111–25.
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© 1983 Applied Science Publishers Ltd
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Petrie, C.J.S. (1983). Film Blowing, Blow Moulding and Thermoforming. In: Pearson, J.R.A., Richardson, S.M. (eds) Computational Analysis of Polymer Processing. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6634-5_7
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DOI: https://doi.org/10.1007/978-94-009-6634-5_7
Publisher Name: Springer, Dordrecht
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