NDLI: Energy version of the kinetic equations of isothermal creep and long-term strength

Content Provider	Springer Nature Link
Author	Radchenko, V. P. Saushkin, M. N. Gorbuv, S. V.
Copyright Year	2014
Abstract	Energy-type kinetic equations of inelastic rheological deformation are proposed in which the elastic, plastic, and creep strains are the additive components of the total strain, and the damage parameter is taken into account. A model of viscoelastic material with a creep kernel of exponential type is considered. The Lyapunov stability of solutions under constant stress is studied. The stability range of the solutions of the differential equations of the mathematical model corresponding to asymptotically bounded creep is established. It is shown that the instability range of the solutions corresponds to the onset of the third stage of creep. The relationship is determined between the Lyapunov stability of the solutions and the stability of the computational algorithm for the numerical solution of the system of equations. The proposed model is experimentally verified. It is shown that the calculated and experimental data are in good agreement.
Starting Page	172
Ending Page	181
Page Count	10
File Format	PDF
ISSN	00218944
Journal	Journal of Applied Mechanics and Technical Physics
Volume Number	55
Issue Number	1
e-ISSN	15738620
Language	English
Publisher	Pleiades Publishing
Publisher Date	2014-02-13
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	kinetic equations metal materials plasticity creep softening long-term strength viscoelastic material Lyapunov stability third stage of creep computational algorithm stability Mechanics Fluid- and Aerodynamics Classical Continuum Physics Applications of Mathematics Mathematical Modeling and Industrial Mathematics Mechanical Engineering
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Mechanical Engineering

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