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):

Report Date:

1970-02-27

Pagination or Media Count:

88.0

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

Subject Categories:

  • Theoretical Mathematics
  • Electricity and Magnetism

Distribution Statement:

APPROVED FOR PUBLIC RELEASE