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Discussion of stress tensor nonuniqueness with application to nonuniform, particulate systems [electronic resource].

Published
Washington, D.C. : United States. Dept. of Energy, 1993.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
Pages: (5 pages) : digital, PDF file
Additional Creators
Los Alamos National Laboratory, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
The indeterminacy of the mechanical stress tensor has been noted in several developments of expressions for stress in a system of particles. It is generally agreed that physical quantities related to the stress tensor must be insensitive to this nonuniqueness, but there is no definitive prescription for insuring it. Kroener's tensor decomposition theorem is applied to the mechanical stress tensor [sup [sigma]][sub ij] to show that its complete determination requires specification of its incompatibility,'' [epsilon][sub ijk] [epsilon][sub lmn] [sup [partial derivative]][sub j] [sup [partial derivative]][sub m] [sup [sigma]][sub kn], in addition to its divergence, which is obtained from the momentum conservation relation. For a particulate system, stress tensor incompatibility is shown to vanish to recover the correct expression for macroscopically observable traction. This result removes concern about nonuniqueness without requiring equilibrium or arbitrarily-defined force lines.
Report Numbers
E 1.99:la-ur-93-1968
E 1.99: conf-9306167--1
conf-9306167--1
la-ur-93-1968
Subject(s)
Other Subject(s)
Note
Published through SciTech Connect.
01/01/1993.
"la-ur-93-1968"
" conf-9306167--1"
"DE93014352"
14. international conference on high pressure science and technology and 1993 technical meeting of the topical group on shock compression of condensed matter, Colorado Springs, CO (United States), 28 Jun - 3 Jul 1993.
Aidun, J.B.
Funding Information
W-7405-ENG-36
View MARC record | catkey: 13825587