On the cold drawing of polymers

DOI10.1016/0898-1221(85)90137-3zbMath0634.73030OpenAlexW2061964504MaRDI QIDQ1097079

Bernard D. Coleman

Publication date: 1985

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(85)90137-3

zbMATH Keywords

travelling wavespolymerLyapunov functionsneckingviscoelastic materialperiodic wavesdependencefiberbulgevery slow motioncold drawingautonomous second order ordinary differential equationdynamical equation of motionfading spatial (not temporal) memoryfield of the axial stretch ratioforce-stretch relationgradual change of configurationnonhomogeneous deformationnonhomogeneous stretch fieldsperiodic striationretardation approximation methodslender barstatic equilibrium configurationsteady draws, solitary wavestotal tensile forceViscosity (dissipative) effects

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Statistical mechanics of polymers (82D60) Nonlinear constitutive equations for materials with memory (74D10) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Equilibrium (steady-state) problems in solid mechanics (74G99)

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Cites Work

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• The viscosity-capillarity criterion for shocks and phase transitions
• Necking and drawing in polymeric fibers under tension
• Kinematical concepts with applications in the mechanics and thermodynamics of incompressible viscoelastic fluids
• Equilibrium of bars
• On retardation theorems
• Admissibility criteria for propagating phase boundaries in a van der Waals fluid
• Steady Extension of Incompressible Simple Fluids