Thermoelastic-plastic flow equations in general coordinates

The equations governing the thermoelastic-plastic flow of isotropic solids in the Prandtl-Reuss and small anisotropy approximations in Cartesian coordinates are generalized to arbitrary coordinate systems. In applications the choice of coordinates is dictated by the symmetry of the solid flow. The g...

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Bibliographic Details
Published in:The Journal of physics and chemistry of solids 2018-08, Vol.119, p.288-295
Main Authors: Blaschke, Daniel N., Preston, Dean L.
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
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Summary:The equations governing the thermoelastic-plastic flow of isotropic solids in the Prandtl-Reuss and small anisotropy approximations in Cartesian coordinates are generalized to arbitrary coordinate systems. In applications the choice of coordinates is dictated by the symmetry of the solid flow. The generally invariant equations are evaluated in spherical, cylindrical (including uniaxial), and both prolate and oblate spheroidal coordinates.
ISSN:0022-3697
1879-2553
DOI:10.1016/j.jpcs.2018.03.026