SOLUTIONS OF THE EQUATIONS OF EQUILIBRIUM OF ELASTIC DIELECTRICS: STRESS FUNCTIONS, CONCENTRATED FORCE, SURFACE ENERGY.

Abstract

Functions analogous to the Papkovitch functions of classical elasticity are derived for Mindlin's linear theory of elastic dielectrics whose energy density of deformation and polarization depends on the gradient of the polarization, as well as on the strain and on the polarization itself. These functions are then used to solve the problems of the sphere and of the spherical cavity, in the absence of all external actions, in order to display the influence of surface curvature on the surface energy of deformation and polarization inherent in the theory. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1968
Accession Number
AD0677040

Entities

People

  • Jeremy Schwartz

Organizations

  • Columbia University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Curvature
  • Dielectrics
  • Elastic Properties
  • Energy
  • Equations
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematics
  • Physical Properties
  • Polarization
  • Surface Energy

Readers

  • Fluid Dynamics.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Structural Dynamics.