On the Gaussian Network for Cross-Linked Elastomers: Isotropy and Stress-Free Shape Uniqueness Proofs for the Compressible Case.

Abstract

The Gaussian network theory of rubber elasticity is reformulated using a canonical ensemble. Changes of volume and internal energy on deformation are allowed for. A condition is given sufficient to ensure the existence of a unique stress-free shape at any given temperature. The network can be anisotropic in this shape, but the rubber is necessarily an isotropic elastic solid.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1976
Accession Number
ADA027948

Entities

People

  • A. S. Lodge

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amorphous Materials
  • Computer Science
  • Elastic Properties
  • Elastomers
  • Macromolecules
  • Materials
  • Mechanical Properties
  • Molecules
  • Network Science
  • Physical Properties

Readers

  • Computational Fluid Dynamics (CFD)
  • Mathematical Modeling and Probability Theory.
  • Polymer Science and Engineering.