Effect of Time Dependent Compressibility on Nonlinear Viscoelastic Wave Propagation.

Abstract

The work presented consists essentially of two parts: the first deals with the development of a nonlinear constitutive equation for a three dimensional viscoelastic material with instantaneous and time dependent compressibility; the second deals with the solution of some specific wave propagation problems for three simple three dimensional geometries. The constitutive equation is based on the existence of elastic and creep potentials and is expressed in terms of single memory integrals with nonlinear kernels. The wave propagation problems are solved by numerical integration along the characteristics of the governing equations.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1975
Accession Number
ADA013398

Entities

People

  • D. Courtine
  • Francis A. Cozzarelli
  • R. P. Shaw

Organizations

  • University at Buffalo

Tags

DTIC Thesaurus Topics

  • Compressive Properties
  • Constitutive Equations
  • Equations
  • Geometry
  • Integrals
  • Materials
  • Mathematics
  • Numerical Integration
  • Three Dimensional
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

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