Unstable modes of deformation in solid-phase extrusion of viscoelastic structured systems

Belyaeva, N. A.; Столин, А. М.; Пугачев, Д. В.; Стельмах, Л. С.

doi:10.1134/s0012501608060079

Cited by 5 publications

(3 citation statements)

References 1 publication

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“…A significant number of scientific and applied works [1,[6][7][8][10][11][12][13][14][15] are devoted to the construction of mathematical models of crystallization for various purposes.…”

Section: Overview Of Approaches To Building Modelsmentioning

confidence: 99%

“…Mathematical models of polymer crystallization in the form of a thin disk (one-dimensional model) are considered in [1,12,13]. The model consists of two nonlinear differential equations for the degree of crystallinity ) , ( t r y , defined as the average volume fraction of the space occupied by crystals, and the temperature field ) , ( t r T , combined using the norm of the nucleation and growth function )…”

Section: Overview Of Approaches To Building Modelsmentioning

confidence: 99%

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Mathematical modelling of crystallization of polymer solutions

Zelensky

2023

SRIT

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The processes of homogenization and crystallization of polymer solutions in cylindrical pipes are considered, which are described by the convective-diffusion equation with respect to the solution temperature and kinetic equations with respect to homogenization and crystallization of the polymer known as the thermokinetic nonlinear boundary value problem. A numerical-analytical iterative method for solving this problem is proposed, which consists of stepwise obtaining solutions of kinetic equations with respect to homogenization and crystallization of polymer solutions depending on the solution temperature and obtaining a solution of the convective-diffusion problem with respect to melt temperature. The accuracy of the obtained solution is determined by the norm of the difference between two adjacent iterations. The value of the crystallization coefficient, which is close to unity, determines the length of the dosing zone and the transition to the next zone – the flow of homogenized polymer into the distribution head of the extruder. The results of mathematical modelling are given.

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“…A significant number of scientific and applied works [1,[6][7][8][10][11][12][13][14][15] are devoted to the construction of mathematical models of crystallization for various purposes.…”

Section: Overview Of Approaches To Building Modelsmentioning

confidence: 99%

Section: Overview Of Approaches To Building Modelsmentioning

confidence: 99%

Mathematical modelling of crystallization of polymer solutions

Zelensky

2023

SRIT

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“…Numerous authors describe the temperature change in complex areas, residual stresses, density, porosity viscosity and mechanical properties evolution, the junction formation between individual particles, etc. The series of publications is devoted to the modeling of new material synthesis for the conditions of the heating combined with mechanical loading or to the study of possible stationary conversion regimes [11][12][13][14]. However, the coupling models taking into account the interrelation between the heat and mechanical processes and the conditions of conjugate heat exchange occurred not very often.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Treatment of ZrB2–SiC Powders and Sintered Ceramic Composites Properties

Buyakova

Knyazeva

Burlachenko

et al. 2017

Proceedings of the Scientific-Practical Conference "Research and Development - 2016"

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The effect of mechanical treatment by planetary ball milling on the properties of hot pressed ZrB 2 -SiC ceramics was studied. It has been shown that material densification after mechanical treatment is finished on initial stages of sintering process. Addition of SiC leads to essentially increasing of sample density up to 99% of a theoretical one for powder with 20% SiC, as compared with ZrB 2 not higher when 76%. It has been shown that all defects which were accumulated during mechanical treatment are annealed during hot pressure process and there are no any changes of coherently diffracting domain (CDD) values in sintered ceramics. The model was suggested to describe of three-layered porous composite synthesis at the conditions of hot isostatic pressing and investigate the porosity evolution during synthesis. Model takes into account the conjugate heat exchange between sintered materials and walls of the reactor.

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Mathematical model of three-layer composite synthesis during hot isostatic pressing

Knyazeva¹,

Buyakova²

2016

AIP Conference Proceedings

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Unstable modes of deformation in solid-phase extrusion of viscoelastic structured systems

Cited by 5 publications

References 1 publication

Mathematical modelling of crystallization of polymer solutions

Mathematical modelling of crystallization of polymer solutions

Mechanical Treatment of ZrB2–SiC Powders and Sintered Ceramic Composites Properties

Mathematical model of three-layer composite synthesis during hot isostatic pressing

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