STRESS WAVE ANALYSIS IN A GENERALIZED LINEAR VISCOELASTIC MATERIAL USING FINITE DIFFERENCES AND CHARACTERISTICS,

Abstract

An explicit finite difference scheme for solving the one-dimensional wave equation for a generalized linear viscoelastic solid has been derived. An accurate solution near the wave front is obtained by placing the nodal points of the finite difference grid along the characteristics of the wave equation. The viscoelastic properties of the solid are represented in terms of a generalized Voigt model. A FORTRAN IV program based on this scheme has been used to calculate the response to a step pulse, a triangular pulse, and a pulse which varies like (1-cos(ct)). In all cases, the calculated results are free of spurious oscillations which occur in certain other methods of numerical calculation, notably the extended Ritz method. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1970
Accession Number
AD0702891

Entities

People

  • Stephen Gerard Sawyer

Organizations

  • Ballistic Research Laboratory

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Materials
  • Mathematics
  • Mechanical Properties
  • Oscillation
  • Partial Differential Equations
  • Physical Properties
  • Stress Waves
  • Stresses
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.