Accession Number : AD0673905

Title :   THE PHYSICAL TENSOR AND APPLICATION.

Descriptive Note : Final scientific rept. 1 Feb 67-31 Jan 68,

Corporate Author : TECHNION - ISRAEL INST OF TECH HAIFA DEPT OF MECHANICS

Personal Author(s) : Karni,Zvi

Report Date : 30 APR 1968

Pagination or Media Count : 77

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)

Descriptors :   (*FIELD THEORY, *TENSOR ANALYSIS), (*CONTINUUM MECHANICS, FIELD THEORY), ELECTROMAGNETIC FIELDS, FLUID FLOW, GRAVITY, POTENTIAL THEORY, VECTOR SPACES, NAVIER STOKES EQUATIONS, INVARIANCE, ISRAEL

Subject Categories : Theoretical Mathematics
      Electricity and Magnetism
      Quantum Theory and Relativity
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE