Theory of the deformation of aligned polyethylene.

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  • Additional Information
    • Source:
      Publisher: The Society Country of Publication: England NLM ID: 9891746 Publication Model: Print Cited Medium: Print ISSN: 1364-5021 (Print) Linking ISSN: 13645021 NLM ISO Abbreviation: Proc Math Phys Eng Sci Subsets: PubMed not MEDLINE
    • Publication Information:
      Original Publication: London : The Society, c1996-
    • Abstract:
      Solitons are proposed as the agents of plastic and viscoelastic deformation in aligned polyethylene. Interactions between straight, parallel molecules are mapped rigorously onto the Frenkel-Kontorova model. It is shown that these molecular interactions distribute an applied load between molecules, with a characteristic transfer length equal to the soliton width. Load transfer leads to the introduction of tensile and compressive solitons at the chain ends to mark the onset of plasticity at a well-defined yield stress, which is much less than the theoretical pull-out stress. Interaction energies between solitons and an equation of motion for solitons are derived. The equation of motion is based on Langevin dynamics and the fluctuation-dissipation theorem and it leads to the rigorous definition of an effective mass for solitons. It forms the basis of a soliton dynamics in direct analogy to dislocation dynamics. Close parallels are drawn between solitons in aligned polymers and dislocations in crystals, including the configurational force on a soliton. The origins of the strain rate and temperature dependencies of the viscoelastic behaviour are discussed in terms of the formation energy of solitons. A failure mechanism is proposed involving soliton condensation under a tensile load.
    • References:
      Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1994 Jun;49(6):5804-5811. (PMID: 9961908)
      Phys Rev B Condens Matter. 1991 Jan 1;43(1):1060-1073. (PMID: 9996298)
    • Contributed Indexing:
      Keywords: Frenkel–Kontorova model; aligned polyethylene; plastic deformation; solitons; viscoelasticity; yield stress
    • Publication Date:
      Date Created: 20150905 Latest Revision: 20240323
    • Publication Date:
      20240323
    • Accession Number:
      PMC4550009
    • Accession Number:
      10.1098/rspa.2015.0171
    • Accession Number:
      26339196