SOME PROBLEMS OF NONLINEAR STRESS WAVES IN SOLIDS.

Abstract

The paper considers some fundamental aspects of dynamic loading as produced in a solid by contact explosion or ballistic impact. At such high stress and strain rates, a quasi-static constitutive relation may be used in the formulation of the nonlinear wave equation for the solid with both rigidity and compressibility taken into account. The formalism of the hyperbolic-type wave equation can serve to disclose several fundamental properties of nonlinear stress waves in solids. It is of interest to note that both elastic shock waves and plastic shock waves can exist in tension as well as in compression. For very strong compression the effect of material strength may be neglected, and only plastic shocks become identical with hydrodynamic shocks. Four nonlinear solids are examined in connection with plane waves based on Lagrangian coordinates, and a compact wave equation is presented to cover several simple geometries. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1970
Accession Number
AD0712991

Entities

People

  • Yun K. Huang

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Compression
  • Electrical Solitons
  • Equations
  • Materials
  • Plane Waves
  • Shock
  • Shock Waves
  • Strain Rate
  • 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)
  • Fluid Dynamics.