THE PHYSICAL TENSOR AND APPLICATIONS,

Abstract

The definition of the physical tensor and tensor field, the transformation laws for its magnitudes with respect to orthogonal and oblique systems, the directional derivative of a tensor, the curvilinear derivative of the tensor magnitudes and the Christoffel tensor in orthogonal systems, a survey on multi-point tensors and multi-system magnitudes, the plane finite rotation tensor and the physical curvature tensor are reported. As applications, the transforming of a Cartesian tensor equation to curvilinear coordinates, a multi-relative motion with respect to curvilinear networks and the merging of the Lagrange equa tions of motion and the geodesics equation into a single physical tensor equation of the Newton type are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 07, 1963
Accession Number
AD0413337

Entities

People

  • Z. Karni

Organizations

  • Technion – Israel Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Curvature
  • Differential Geometry
  • Directional
  • Equations
  • Equations Of Motion
  • Geodesics
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematics
  • Relative Motion
  • Rotation

Readers

  • Computer Vision.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra