A Micromechanics Model for Nonlinear Viscoelastic Behavior of Particle-Reinforced Rubber with Distributed Damage.

Abstract

A mathematical model based on micromechanics for predicting effective viscoelastic stress-strain equations and microcrack growth in particle-reinforced rubber (or other relatively soft viscoelastic matrix) is described. Geometric idealization of the microstructure follows that of the composite spheres assemblage and generalized self-consistent scheme originally used for linear elastic composites without damage. The approach combines a perturbation analysis of the matrix, which becomes more accurate as the particle volume fraction is increased, with the Rayleigh-Ritz energy method for predicting mechanical response of the composite. Results for linear elastic and nonlinear viscoelastic behavior are discussed. It is shown that the elasticity thoery may be easily extended to predict mechanical response of a viscoelastic composite, and that an approximate equation governing microcrack growth is analogous to one for an aging elastic material. Finally, a limited assessment of the theory is made through comparison with some existing effective modulus results and experimental data on a particle-filled rubber. Keywords; Solid propellants; Particulate composites. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1986
Accession Number
ADA165728

Entities

People

  • R. A. Schapery

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Composite Materials
  • Differential Equations
  • Elastic Materials
  • Equations
  • Materials
  • Materials Science
  • Mechanics
  • Micromechanics
  • Microstructure
  • Modulus Of Elasticity
  • Particles
  • Shear Modulus
  • Solid Propellants
  • Stress Strain Relations
  • Stresses
  • Universities

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.
  • Structural Health Monitoring of Composite Structures.