A TECHNIQUE FOR THE CALCULATION OF ACCELERATION WAVES IN NONLINEAR VISCOELASTIC MATERIALS.

Abstract

A boundary-value problem giving rise to a one-dimensional acceleration wave in a nonlinear viscoelastic material is shown to have a solution, valid in a region behind the wave front, such that stress, strain and velocity are expressed as power series in time measured from the arrival of the wave; the coefficients are functions of position and obtainable by quadrature from first-order differential equations. The results may be used to determine short-time viscoelastic behavior by means of wave-propagation experiments.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1966
Accession Number
AD0489747

Entities

People

  • J. Lubliner

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Differential Equations
  • Equations
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Power Series
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.