Thermoelastic-Plastic Flow Equations in General Coordinates
arXiv:1709.07730 · doi:10.1016/j.jpcs.2018.03.026
Abstract
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.
19 pages; v2: minor revision, to appear in J. Phys. Chem. Solids