Variational analysis of thermomechanically coupled steady-state rolling problem

T. A. ANGELOV

doi:10.1007/s10483-013-1751-6

Applied Mathematics and Mechanics >

2013 , Vol. 34 >Issue 11: 1361 - 1372

DOI: https://doi.org/10.1007/s10483-013-1751-6

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Variational analysis of thermomechanically coupled steady-state rolling problem

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Institute of Mechanics, Bulgarian Academy of Sciences, Sofia 1113, Bulgaria

Received date: 2012-05-14

Revised date: 2013-04-27

Online published: 2013-11-01

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Abstract

A steady-state, rigid-plastic rolling problem for temperature and strain-rate dependent materials with nonlocal friction is considered. A variational formulation is derived, coupling a nonlinear variational inequality for the velocity and a nonlinear variational equation for the temperature. The existence and uniqueness results are obtained by a proposed fixed point method.

Key words： particle dispersion; high Reynolds number; discrete vortex method (DVM); liquid-particle; wake vortex; steady-state rolling; rigid-thermoviscoplastic material; nonlocal friction; fixed point method; variational analysis

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T. A. ANGELOV . Variational analysis of thermomechanically coupled steady-state rolling problem[J]. Applied Mathematics and Mechanics, 2013 , 34(11) : 1361 -1372 . DOI: 10.1007/s10483-013-1751-6

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