Accession Number:

ADA582371

Title:

Aspects of Differential Geometry and Tensor Calculus in Anholonomic Configuration Space

Descriptive Note:

Journal article

Corporate Author:

ARMY RESEARCH LAB ABERDEEN PROVING GROUND MD WEAPONS AND MATERIALS RESEARCH DIRECTORATE

Personal Author(s):

Report Date:

2013-02-01

Pagination or Media Count:

8.0

Abstract:

In the context of finite deformation mechanics, a tangent mapping is anholonomic over some domain when it is not a gradient of a motion conversely, a deformation gradient is holonomic when it is integrable to a motion field everywhere in that domain. This brief report addresses covariant differentiation for four possible choices of basis vectors in anholonomic space. As an example from continuum physics, the theory is applied towards description of divergence of the heat flux.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE