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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
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.
Distribution Statement:
APPROVED FOR PUBLIC RELEASE
