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- Title
Piecewise Linear Yield Criteria in the Problems of Thermoplasticity.
- Authors
Murashkin, Evgenii; Dats, Evgeniy; Stadnik, Nikita
- Abstract
The present study is devoted to the boundary value problems of the perfect thermoelastic-plastic continua concern-ing to the hollow cylinder deforming under non-stationary thermal action. The conventional Prandtl-Reuss elastic-plastic model generalized on the thermal effects is used. The irre-versible deformations, residual stresses, and displacements are computed due to analytical solutions within the framework of the piecewise linear Tresca and Ishlinsky-ivlev yield criteria. It is shown the possibility to estimate the accuracy of numerical solution obtaining within frameworks of the von Mises yield criterion. The residual stresses of a hollow elastic-thermoplastic cylinder processing by unsteady thermal action on the inner surface are calculated. A new technique for verifying of the numerical solutions accuracy in problems of the theory of perfect plasticity is proposed.
- Subjects
RESIDUAL stresses; ELASTOPLASTICITY; DEFORMATIONS (Mechanics); THERMOPLASTICS; BOUNDARY value problems; PRANDTL number
- Publication
IAENG International Journal of Applied Mathematics, 2017, Vol 47, Issue 3, p261
- ISSN
1992-9978
- Publication type
Article