Investigation of failure during elongational flow of polymer melts

Abstract A basic study of the mechanisms of necking and ductile failure of polymer melts in uniaxial elongational flow has been carried out. A linear stability analysis was carried out using a White—Metzner convected Maxwell model with a deformation-rate-dependent relaxation time, which varies according to τ = τo/(1 + aτo[2trd2] 1 2 ). It was shown that filament stability and elongation to break depend upon τoE, where E is the elongation rate, and a. At fixed τoE, filament stability decreases with increasing a. At small a, stability increases with increasing τoE while for a > 1 √3 , stability decreases with increasing τoE. For a material with small a, ductile failure can occur for small τoE, but cohesive fracture should be the cause of failure at larger τoE. For a material with large a, however, ductile failure always dominates the failure mode. These results are used to interpret failure in elongational flow of low density and high density polyethylene and polypropylene melts and describe how the latter two melts exhibit ductile failure.

[1]  James L White,et al.  Polymer Melt Flow Instabilities in Extrusion: Investigation of the Mechanism and Material and Geometric Variables , 1971 .

[2]  R. Ballman,et al.  Extensional viscosity of amorphous polystyrene , 1976 .

[3]  M. Denn,et al.  Instabilities in polymer processing , 1976 .

[4]  James L White,et al.  The spinnability of polymer fluid filaments , 1976 .

[5]  B. D. Coleman,et al.  An approximation theorem for functionals, with applications in continuum mechanics , 1960 .

[6]  M. Matovich,et al.  Spinning a Molten Threadline. Steady-State Isothermal Viscous Flows , 1969 .

[7]  M. Denn,et al.  Flow Instability in Polymer Melt Extrusion , 1973 .

[8]  James L White,et al.  An Experimental Study of Rheological Properties of Polymer Melts in Laminar Shear Flow and of Interface Deformation and Its Mechanisms in Two-Phase Stratified Flow , 1974 .

[9]  A. B. Metzner,et al.  Constitutive equations for viscoelastic fluids for short deformation periods and for rapidly changing flows: Significance of the deborah number , 1966 .

[10]  A. S. Lodge,et al.  A possible mechanism for stabilizing elongational flow in certain polymeric liquids at constant temperature and composition , 1971 .

[11]  S. Middleman,et al.  Viscoelastic jet stability , 1969 .

[12]  S. Tomotika Breaking up of a Drop of Viscous Liquid Immersed in Another Viscous Fluid Which is Extending at a Uniform Rate , 1936 .

[13]  S. Onogi,et al.  Effects of Molecular Weight and Its Distribution on Fractural Behavior of Polystyrene , 1972 .

[14]  B. Bernstein,et al.  Stability of a Relaxation‐Type Viscoelastic Fluid with Slight Elasticity , 1970 .

[15]  A. S. Lodge,et al.  Comparison of rubberlike-liquid theory with stress-growth data for elongation of a low-density branched polyethylene melt , 1972 .

[16]  James L. White,et al.  Experimental study of elongational flow and failure of polymer melts , 1978 .

[17]  I. Chen,et al.  Time‐Dependent Stress in Polymer Melts and Review of Viscoelastic Theory , 1972 .

[18]  Donald C. Bogue,et al.  The extensional and failure properties of polymer melts , 1975 .

[19]  A. Craik A note on the static stability of an elastico-viscous fluid , 1968, Journal of Fluid Mechanics.

[20]  R. Shinnar,et al.  Instability of Jets of Non‐Newtonian Fluids , 1973 .

[21]  M. Denn,et al.  Nonlinear Stability of Plane Poiseuille Flow of Viscoelastic Liquids , 1972 .

[22]  L. Rayleigh,et al.  XVI. On the instability of a cylinder of viscous liquid under capillary force , 1892 .

[23]  M. Denn,et al.  Stretching of viscoelastic liquids , 1971 .

[24]  H. Nitschmann,et al.  Über das Fadenziehvermögen bei Flüssigkeiten als Viskositätsanomalie , 1948 .

[25]  S. Middleman Stability of a viscoelastic jet , 1965 .

[26]  E. Orowan,et al.  Fracture and strength of solids , 1949 .

[27]  Use of Retarded Motion Expansions for Simple Fluids in Hydrodynamic Stability Analysis , 1971 .

[28]  R. Shinnar,et al.  Breakup of a laminar capillary jet of a viscoelastic fluid , 1969, Journal of Fluid Mechanics.

[29]  F. Cogswell Measuring the Extensional Rheology of Polymer Melts , 1972 .

[30]  James L. White,et al.  ENGINEERING ANALYSIS OF NON-NEWTONIAN FLUIDS. , 1970 .

[31]  J. Meissner Development of a Universal Extensional Rheometer for the Uniaxial Extension of Polymer Melts , 1972 .

[32]  J. White Dynamics of viscoelastic fluids, melt fracture, and the rheology of fiber spinning , 1964 .

[33]  L. Rayleigh On The Instability Of Jets , 1878 .