Numerical modeling of laser sintering of two-component powder mixtures

Niziev, V. G.; Koldoba, A. V.; Mirzade, F. Kh.; Panchenko, V. Ya.; Poveschenko, Yuri Andreevich; Попов, М. В.

doi:10.1134/s2070048211060081

Cited by 9 publications

(4 citation statements)

References 6 publications

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“…Also one can note that maximum of growth rate is in the region where nucleation doesn't occur yet, and it appears to be decreasing function in the nucleation region. Equation (6) shows that volume fraction of new phase can increase due to nucleation and growth processes.…”

Section: Numerical Results and Comparison With Experimentsmentioning

confidence: 99%

“…The 1D model of selective laser melting of twocomponents powder composition that account for heat and mass diffusion and fluid flow is investigated in [5,6]. It includes the movement of the solid particles due to shrinkage because of the density change of the powder mixture and the convective fluxes depend on surface tension and gravity forces.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Study to Represent Non-Isothermal Melt-Crystallization Kinetics at Laser-Powder Cladding

Niziev¹,

Mirzade²,

Panchenko³

et al. 2013

MNSMS

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The study of laser-powder cladding process subject to heat transfer, melting and crystallization kinetics has been carried out numerically and experimentally. The Kolmogorov-Avrami equation was applied to describe the kinetics of the phase transitions. Characteristic behavior of temperature and conversion fields has been analyzed. Melt pool dimensions, clad height dependences on mass feed rate, laser power and scanning velocity have been investigated. It has been demonstrated that the melt zone has the boundary distinct from the melting isotherm due to the fact that melting occurs with superheating and crystallization takes place at undercooling. The calculated melt pool depth and clad height are in a good agreement with the experimental results.

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Section: Numerical Results and Comparison With Experimentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical Study to Represent Non-Isothermal Melt-Crystallization Kinetics at Laser-Powder Cladding

Niziev¹,

Mirzade²,

Panchenko³

et al. 2013

MNSMS

Self Cite

View full text Add to dashboard Cite

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“…Attempts to describe the melting process of a twocomponent powder using filtration theory are interesting [47,48]. However, there are doubts about the applicability of Darcy's law to a region consisting of 3-10 powders and the melt flowing around them (typical size of the melting zone in laser 3D technology).…”

Section: Problemsmentioning

confidence: 99%

A Two-Level Approach to Describing the Process of Composite Synthesis

Knyazeva¹

2022

Rev. Adv. Mater. Technol.

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The article describes some problems arising in the construction of models of synthesis of composites in modern technologies, which allow predicting the evolution of composition and properties. It is emphasized that the known two-level models practically do not discuss the correspondence between scales and the correctness of information transfer from one level to another, the correctness of computational algorithms requiring the agreement of scales both physical and geometrical. A general approach to building two-level models of synthesis of composites with reinforcing particles based on separation of physical scales is described. It is shown that two-level models of composites synthesis have thermodynamic justification. The variants of estimation of stresses accompanying the change of composition at micro-(meso-)level are proposed. Possible variants of mesolevel submodels for description of composition evolution are briefly presented.

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“…îäíîðîäíûå ðàçíîñòûå ñõåìû [6], è ìåòîäû, ÿâíî âûäåëÿþùèå ïîäâèaeíóþ ãðàíèöó è ó÷èòûâàþùèå åå äâèaeåíèå [7]. Äëÿ èññëåäîâàíèÿ ñâîéñòâ äàí-íîé îäíîìåðíîé çàäà÷è áóäåì èñïîëüçîâàòü ðàçíîñòíóþ ñõåìó ñ ÿâíûì âûäåëåíèåì ðàçðûâà.…”

Section: ðàçíîñòíàÿ ñõåìàunclassified

A Difference Scheme for Solving the Equations of Tumor Growth Subject to the Restricted Flow of Motile Cells

Isachenko¹,

Lobanov²

2017

Bulletin of the SUSU. MMP

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Ìîñêîâñêèé ôèçèêî-òåõíè÷åñêèé èíñòèòóò (ãîñóäàðñòâåííûé óíèâåðñèòåò), ã. Äîëãîïðóäíûé Â ñòàòüå èññëåäîâàíà îäíîìåðíàÿ ìàòåìàòè÷åñêàÿ ìîäåëü ðîñòà ðàêîâîé îïóõîëè â êâàçèëèíåéíûõ óðàâåíèÿõ ïàðàáîëè÷åñêîãî òèïà. Â ìîäåëè ââîäèòñÿ îãðàíè÷åíèå íà ïîëíûé ïîòîê ïîäâèaeíûõ îïóõîëåâûõ êëåòîê, ÷òî ïðèâîäèò ê âîçìîaeíîñòè âûðîae-äåíèÿ ñèñòåìû óðàâíåíèé â ãèïåðáîëè÷åñêèé òèï è ïîÿâëåíèþ ðàçðûâíûõ (ñëàáûõ) ðåøåíèé. Äëÿ íàõîaeäåíèÿ ñëàáûõ ðåøåíèé ðàçâèòèå îïóõîëè òðàêòîâàëîñü êàê ïîÿâ-ëåíèå íîâîé ôàçû. Â èòîãå ðåøåíèå çàäà÷è ñâåëîñü ê ðåøåíèþ îáîáùåííîé (íåëèíåé-íîé) çàäà÷è Ñòåôàíà. Ïðåäëîaeåíà è ðåàëèçîâàíà ðàçíîñòíàÿ ñõåìà äëÿ äàííîé çàäà÷è ñ ÿâíûì âûäåëåíèåì ïîäâèaeíîé ãðàíèöû ôàçîâîãî ïåðåõîäà. Ïîêàçàíî, ÷òî äàííûé ïîäõîä ïîçâîëÿåò îïèñûâàòü ðàçëè÷íûå ðåaeèìû îïóõîëåâîãî ðîñòà.Êëþ÷åâûå ñëîâà: ðàçíîñòíàÿ ñõåìà; òàêñèñ ïî ñóáñòðàòó; çàäà÷à ñ ïîäâèaeíîé ãðàíèöåé; âûäåëåíèå ðàçðûâà. Ïîñòàíîâêà çàäà÷èÐàêîâûå çàáîëåâàíèÿ ÿâëÿþòñÿ îäíîé èç îñíîâíûõ ïðè÷èí ñìåðòíîñòè â ìèðå. Íà îíêîëîãè÷åñêèå èññëåäîâàíèÿ åaeåãîäíî òðàòÿòñÿ çíà÷èòåëüíûå ñðåäñòâà. Ê íàñòîÿ-ùåìó âðåìåíè íàêîïëåíî îãðîìíîå êîëè÷åñòâî ýêñïåðåìåíòàëüíîãî ìàòåðèàëà î òå-÷åíèè ðàêîâûõ çàáîëåâàíèé. Îñíîâûâàÿñü íà àíàëèçå ýòîãî ìàòåðèàëà, óäàëîñü óñòà-íîâèòü íåêîòîðûå ìåõàíèçìû, ñïîñîáñòâóþùèå ðîñòó è ðàçâèòèþ ðàêîâûõ îïóõîëåé. Ìàòåìàòè÷åñêîå ìîäåëèðîâàíèå, íàðÿäó ñ ýêñïåðèìåíòîì, ÿâëÿåòñÿ âàaeíûì èíñòðó-ìåíòîì äëÿ èññëåäîâàíèÿ çàêîíîìåðíîñòåé îïóõîëåâîãî ðîñòà. Ñóùåñòâóåò áîëüøîå êîëè÷åñòâî ðàçíîîáðàçíûõ ìàòåìàòè÷åñêèõ ìîäåëåé, îò ïðîñòûõ äèôôóçèîííûõ äî ñëîaeíûõ ìíîãîóðîâíåíûõ, êîòîðûå îïèñûâàþò ðàçëè÷íûå àñïåêòû ðàçâèòèÿ îïóõî-ëåé (ðîñò, âàñêóëÿðèçàöèþ, àíãèîãåíåç è äð.), à òàêaeå ïîçâîëÿþò îöåíèòü ýôôåêòèâ-íîñòü âîçäåéñòâèé íà îïóõîëü ïóòåì ðåøåíèÿ çàäà÷ îïòèìàëüíîãî óïðàâëåíèÿ.Â äàííîé ðàáîòå ïðåäëàãàåòñÿ ìîäåëü ñ ó÷åòîì äèôôóçèîííîé è õåìîòàêñè÷åñêîé ïîäâèaeíîñòè îïóõîëåâûõ êëåòîê, à òàêaeå ãåòåðîãåííîãî îêðóaeåíèÿ, îñíîâàííàÿ íà ïîäõîäå [1]. Ñóùåñòâåííûìè íåäîñòàòêàìè [1] ÿâëÿþòñÿ âîçìîaeíîñòü ðîñòà ñóììàð-íîé êîíöåíòðàöèè êëåòîê äî ëþáîãî óðîâíÿ, à òàêaeå áåñêîíå÷íàÿ ñêîðîñòü ðàñïðî-ñòðàíåíèÿ îïóõîëåâûõ ïîäâèaeíûõ êëåòîê. Îäíèì èç ïóòåé ðåøåíèÿ ýòèõ ïðîáëåì ÿâëÿåòñÿ ïîñòàíîâêà âàðèàöèîííîé çàäà÷è, àíàëîãè÷íî [2], ñ ó÷åòîì îãðàíè÷åíèé òè-ïà íåðàâåíñòâ íà ïîëíûé ïîòîê è ñóììàðíóþ ÷èñëåííîñòü êëåòîê. Äðóãîé ïóòü èñïîëüçîâàíèå ôåíîìåíîëîãè÷åñêîãî îãðàíè÷åíèÿ ïîòîêà ïîäâèaeíûõ êëåòîê. Òàêîé ïîäõîä èñïîëüçîâàëñÿ â [3] äëÿ ìîäåëèðîâàíèÿ ðåëàêñàöèîííîãî òåïëîïåðåíîñà â ïëàç-ìå. Çäåñü îí ïðèìåíÿåòñÿ äëÿ áèîëîãè÷åñêîé çàäà÷è. Ñ ó÷åòîì îãðàíè÷åíèÿ ïîòîêà 98

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Numerical modeling of laser sintering of two-component powder mixtures

Cited by 9 publications

References 6 publications

Numerical Study to Represent Non-Isothermal Melt-Crystallization Kinetics at Laser-Powder Cladding

Numerical Study to Represent Non-Isothermal Melt-Crystallization Kinetics at Laser-Powder Cladding

A Two-Level Approach to Describing the Process of Composite Synthesis

A Difference Scheme for Solving the Equations of Tumor Growth Subject to the Restricted Flow of Motile Cells

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