A Finite Element Analysis of Shock and Finite-Amplitude Waves in One-Dimensional Hyperelastic Bodies at Finite Strain

Abstract

The general theory of shock and acceleration waves in isotropic, incompressible, hyperelastic solids is used in conjunction with the concept of finite elements to construct discrete models of highly nonlinear wave phenomena in elastic rods. A numerical integration scheme which combines features of finite elements and the Lax-Wendroff method is introduced. Numerical calculations of the critical time for shock formulation are given. Numerical results obtained from representative cases are discussed.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1972
Accession Number
AD0754953

Entities

People

  • J. Tinsley Oden
  • R. B. Fost

Organizations

  • University of Alabama in Huntsville

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Adiabatic Processes
  • Air Force
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Fluid Flow
  • Mathematical Analysis
  • Mechanics
  • Shock Waves
  • Stress Waves

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)