THEORETICAL GROUND SHOCK EFFECTS. VOLUME II. APPLICATION OF GENERALIZED COORDINATES TO PLASTIC WAVE PROBLEMS.

Abstract

Two generalized coordinate formulations of the equation of motion and two sets of constitutive relations for the elasto-plastic region surrounding a surface nuclear explosion are presented. The first generalized coordinate formulation is in terms of generalized displacements and has been programmed and tried. It is deficient because of the departure of the solution into the complex domain. The second formulation obviates this deficiency since the inertial terms are linear and the matrix of the highest order derivatives can always be made non-singular by proper choice of basis functions. The first set of constitutive equations is of the Coulomb-limiting shear type with many special cases. The second treatment is simpler as a result of the 'rounded corners' of the yield surface expressed in terms of stress invariants. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1966
Accession Number
AD0637197

Entities

People

  • John A. Brooks

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Deficiencies
  • Differential Equations
  • Displacement
  • Equations
  • Equations Of State
  • Explosions
  • Ground Shock
  • Mathematics
  • Nuclear Explosions
  • Shock

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.