Universal Relations for Acceleration Wave Speeds in Nonlinear Viscoelastic Solids

Abstract

For finite deformations of nonlinear viscoelastic solids, the speed of propagation of acceleration waves (i.e., ramp waves) generally depends not only on the current state of strain at the wave front but also on the prior strain history. Consequently, explicit formulas for the wave speed can be quite complicated. Simple formulas for the wave speed do exist for special classes of materials and/or special deformation histories, and in this regard we consider one-dimensional motions of viscoelastic solids governed by single integral laws. Some of the relations obtained are universal in the sense that they hold for all materials in a given class and do not explicitly involve the relaxation kernel function in the hereditary integral defining these materials.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2006
Accession Number
ADA455811

Entities

People

  • Michael J. Scheidler

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Cartesian Coordinates
  • Compression
  • Coordinate Systems
  • Department Of Defense
  • Information Operations
  • Integrals
  • Kernel Functions
  • Materials
  • Mathematics
  • Military Research
  • Optical Materials
  • Shock
  • Shock Waves
  • Subatomic Particles
  • Three Dimensional
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.
  • Materials Science (Mechanical Engineering).