Single chain stochastic polymer modeling at high strain rates. Metadata

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Title

  • Main Title Single chain stochastic polymer modeling at high strain rates.

Creator

  • Author: Harstad, E. N. (Eric N.)
    Creator Type: Personal
  • Author: Harlow, Francis Harvey,
    Creator Type: Personal
  • Author: Schreyer, H. L.
    Creator Type: Personal

Contributor

  • Sponsor: United States. Department of Energy.
    Contributor Type: Organization

Publisher

  • Name: Los Alamos National Laboratory
    Place of Publication: United States

Date

  • Creation: 2001-01-01

Language

  • English

Description

  • Content Description: Our goal is to develop constitutive relations for the behavior of a solid polymer during high-strain-rate deformations. In contrast to the classic thermodynamic techniques for deriving stress-strain response in static (equilibrium) circumstances, we employ a statistical-mechanics approach, in which we evolve a probability distribution function (PDF) for the velocity fluctuations of the repeating units of the chain. We use a Langevin description for the dynamics of a single repeating unit and a Lioville equation to describe the variations of the PDF. Moments of the PDF give the conservation equations for a single polymer chain embedded in other similar chains. To extract single-chain analytical constitutive relations these equations have been solved for representative loading paths. By this process we discover that a measure of nonuniform chain link displacement serves this purpose very well. We then derive an evolution equation for the descriptor function, with the result being a history-dependent constitutive relation.
  • Physical Description: 39 p.

Subject

  • Keyword: Probability
  • Keyword: Strain Rate
  • Keyword: Polymers
  • Keyword: Statistical Mechanics
  • STI Subject Categories: 36 Materials Science
  • Keyword: Distribution Functions
  • Keyword: Thermodynamics
  • Keyword: Velocity
  • Keyword: Pressure Vessels
  • Keyword: Fluctuations
  • Keyword: Simulation
  • Keyword: Chains

Source

  • Conference: Submitted to: 2002 ASME Pressure Vessels&Piping Conference, August 4-8, 2002, Vancouver, British Columbia, Canada

Collection

  • Name: Office of Scientific & Technical Information Technical Reports
    Code: OSTI

Institution

  • Name: UNT Libraries Government Documents Department
    Code: UNTGD

Resource Type

  • Article

Format

  • Text

Identifier

  • Report No.: LA-UR-01-6877
  • Office of Scientific & Technical Information Report Number: 975917
  • Archival Resource Key: ark:/67531/metadc927565
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