THE PHYSICAL TENSOR AND APPLICATION.

Abstract

The role of the source function in the balance equations for the electromechanical material continuum, is discussed. From a prototype source equation, being a differential invariant of a tensor potential, Poisson's field equation and the Maxwell equations are deduced along a common and single procedure. By means of a representation theory for a second-order, asymmetric tensor, a general type of a constitutive equation for the asymmetric stress is introduced into the plane electromechanical balance equations, and their solution discussed. The appearance of the curvature tensors into the balance equations for the electromechanical continuum with respect to a two-dimensional curved space, is explored towards a survey for their solution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 30, 1968
Accession Number
AD0673905

Entities

People

  • Zvi Karni

Organizations

  • Technion – Israel Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Constitutive Equations
  • Curvature
  • Differential Equations
  • Equations
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Materials
  • Mathematics
  • Partial Differential Equations
  • Prototypes
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Microelectronics
  • Microelectronics - Microelectromechanical Systems
  • Space