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Title: Thermoelastic-plastic flow equations in general coordinates

Journal Article · · Journal of Physics and Chemistry of Solids
 [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1431061
Alternate ID(s):
OSTI ID: 1548524
Report Number(s):
LA-UR-16-24560; TRN: US1802436
Journal Information:
Journal of Physics and Chemistry of Solids, Vol. 119; ISSN 0022-3697
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

References (18)

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Second order effects in the theory of plasticity journal March 1969
On second-order strain accumulation in aluminum in reversed cyclic torsion at elevated temperatures journal March 1967
Berücksichtigung der elastischen Formänderung in der Plastizitätstheorie journal January 1930
Shock compression of solids journal October 1979
Review of experimental techniques for high rate deformation and shock studies journal August 2004
Revisiting shock waves in metals journal February 1997
Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media journal January 1977
Approximate models for ductile metals containing non-spherical voids—Case of axisymmetric prolate ellipsoidal cavities journal November 1993
A multi-surface plasticity model for ductile fracture simulations journal June 2017
Finite Deformations of an Elastic Solid journal April 1937
The Heat Developed during Plastic Extension of Metals journal March 1925
The stored energy of cold work journal January 1958
Irreversible thermodynamics of flow in solids journal August 1980

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