### 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. Here, the generally invariant equations are evaluated in spherical, cylindrical (including uniaxial), and both prolate and oblate spheroidal coordinates.

- Publication Date:

- Report Number(s):
- LA-UR-16-24560

Journal ID: ISSN 0022-3697; TRN: US1802436

- Grant/Contract Number:
- AC52-06NA25396

- Type:
- Accepted Manuscript

- Journal Name:
- Journal of Physics and Chemistry of Solids

- Additional Journal Information:
- Journal Volume: 119; Journal ID: ISSN 0022-3697

- Publisher:
- Elsevier

- Research Org:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Sponsoring Org:
- USDOE

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

- OSTI Identifier:
- 1431061

```
Blaschke, Daniel N., and Preston, Dean L..
```*Thermoelastic-plastic flow equations in general coordinates*. United States: N. p.,
Web. doi:10.1016/j.jpcs.2018.03.026.

```
Blaschke, Daniel N., & Preston, Dean L..
```*Thermoelastic-plastic flow equations in general coordinates*. United States. doi:10.1016/j.jpcs.2018.03.026.

```
Blaschke, Daniel N., and Preston, Dean L.. 2018.
"Thermoelastic-plastic flow equations in general coordinates". United States.
doi:10.1016/j.jpcs.2018.03.026.
```

```
@article{osti_1431061,
```

title = {Thermoelastic-plastic flow equations in general coordinates},

author = {Blaschke, Daniel N. and Preston, Dean L.},

abstractNote = {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. Here, the generally invariant equations are evaluated in spherical, cylindrical (including uniaxial), and both prolate and oblate spheroidal coordinates.},

doi = {10.1016/j.jpcs.2018.03.026},

journal = {Journal of Physics and Chemistry of Solids},

number = ,

volume = 119,

place = {United States},

year = {2018},

month = {3}

}