Accession Number : AD0711076

Title :   THE PHYSICAL TENSOR AND APPLICATION.

Descriptive Note : Final scientific rept. 1 Feb 68-30 Sep 69,

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

Personal Author(s) : Karni,Zvi

Report Date : 27 FEB 1970

Pagination or Media Count : 88

Abstract : The fundamentals of the physical tensor and its analysis in the n-dimensional vector space V sub n are set up. The n-coordinate networks, the local and dual n-systems, the n-space derivative, the first and second curvature tensors in Vn and the space derivatives of field tensors of arbitrary order with respect to the n-curvilinear-oblique coordinate networks, are discussed and presented in both the magnitude and the absolute notations. As application, the generalization of the equation of the general balance to the four-dimensional vector space V sub 4 yields the non-conservative, special-relativistic theory of continuum electromechanics. (Author)

Descriptors :   (*ELECTROMAGNETISM, TENSOR ANALYSIS), (*TENSOR ANALYSIS, CONTINUUM MECHANICS), VECTOR SPACES, VECTOR ANALYSIS, POTENTIAL THEORY, THERMOELECTRICITY, FIELD THEORY, ISRAEL

Subject Categories : Theoretical Mathematics
      Electricity and Magnetism

Distribution Statement : APPROVED FOR PUBLIC RELEASE