Two-Level Elastoviscoplastic Model: An Application to the Analysis of Grain Structure Evolution under Static Recrystallization

Трусов, П. В.; Kondratyev, Nikolay S.

doi:10.1134/s1029959919030081

Cited by 14 publications

(2 citation statements)

References 54 publications

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“…In the literature, such models are used to describe the mechanical behavior of media with both liquid and solid properties. Viscous and/or elastic-viscous-plastic properties often characterize materials undergoing structural transformations [2], solid materials with diffusion-controlled chemical reactions [3]; composites [4], materials used in pharmaceuticals [5]. Powder media behave similarly to a viscous liquid [6].…”

Section: General Equationsmentioning

confidence: 99%

Thermo-visco-elastic model of powder layer modification by moving heat source

Knyazeva¹

2022

8th International Congress on Energy Fluxes and Radiation Effects

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The coupled model for laser treatment of plate is presented in this paper. The model takes into account viscoelastic stresses and strains due to temperature and composition change. Heat capacity and viscosity depend on liquid phase fraction. The numerical algorithm is described. Examples demonstrate qualitative features appearing in the model with melting and heat losses into environment. The coupled and non-coupled models give different results.

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Section: General Equationsmentioning

confidence: 99%

Thermo-visco-elastic model of powder layer modification by moving heat source

Knyazeva¹

2022

8th International Congress on Energy Fluxes and Radiation Effects

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“…Дефекты и структура зерен изменяются в процессе термомеханической обработки. Разница в энергии, запасенной в соседних зернах, приводит к движению их границ [4].…”

Section: Introductionunclassified

Two-dimensional model of grain boundary diffusion and oxidation

Chepak-Gizbrekht

Knyazeva

2022

PNRPU Mechanics Bulletin

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The grinding of the structure of materials is accompanied by a change in the physical and mechanical properties. This occurs largely due to the accumulation of energy and defects in the structure, which activates the diffusion of impurities contained in the material. The increase in the number of grain boundaries and joints can cause the inelastic behavior of the material, its additional chemical activation. For some metals and alloys this leads to strengthening, while for others it leads to rapid degradation of mechanical properties. Grain boundary diffusion in such materials is the main mechanism of transport of alloying components or harmful impurities, so its study is important. This paper presents a two-dimensional model of grain boundary diffusion in a material with an explicit structure assignment. The model takes into account the presence of chemical transformations that can determine the corrosion mechanisms under operating conditions. For simplicity of calculation the material structure is taken symmetrical and contains two phases: grains and a boundary phase. Diffusion and kinetic parameters of the phases may differ. The model is represented in dimensionless form so that the distances between neighboring grains or the widths of the boundary phase are the same and the grain sizes can vary. Depending on the ratio of phase sizes we can speak about micro- and nanocrystalline structure. The problem was solved numerically using implicit difference scheme and coordinate splitting. Diffusion and kinetic parameters, which are close to the parameters of oxygen grain boundary diffusion in titanium and titanium oxidation, respectively, were taken for the calculations. Integral concentrations reflect the dynamics (kinetics) of oxygen and oxides accumulation over the calculation area. Results showing the role of changes in the oxidation kinetics due to changes in the reaction constants in the phases and the phase size ratio are presented. The model can be useful for assessing the degree of influence of grain boundary diffusion on the oxidation process and the accompanying change in properties, as well as for setting up appropriate experiments.

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