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JOURNALS // Russian Universities Reports. Mathematics // Archive

Tambov University Reports. Series: Natural and Technical Sciences, 2017 Volume 22, Issue 1, Pages 19–22 (Mi vtamu190)

MATHEMATICS

Double variational adjustment for estimation of hot structural state, consisting of elastic and plastic-rigid area

E. E. Krasnovskiia, A. P. Chernyaevb

a Bauman Moscow State Technical University
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Abstract: The double variational adjustment on research of stress-strain behavior of construction, made of non-homogeneous plastic-rigid but also of linear elastic material is achieved. Basing on variational principles of elasticity theory and flow theory were built functionals, having extreme features. The example of calculation is given.

Keywords: variational principles of elasticity theory; variational principles of plasticity theory; rigid plastic body; thermal mechanics; elastic plastic straining.

UDC: 51-72



© Steklov Math. Inst. of RAS, 2024