New models of continuum mechanics

Kuropatenko, V. F.

doi:10.1007/s10891-011-0457-0

Cited by 14 publications

(7 citation statements)

References 3 publications

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“…The conservation laws form the core [71] of a dynamic model of continuum mechanics by defining the evolution of the density field ( ) ρ x , velocity field ( ) v x and the field of specific internal energy ( ) E x as follows:…”

Section: Dislocation Plasticity Modelmentioning

confidence: 99%

Taylor Impact Tests with Copper Cylinders: Experiments, Microstructural Analysis and 3D SPH Modeling with Dislocation Plasticity and MD-Informed Artificial Neural Network as Equation of State

Rodionov

Lupanov

Grachyova

et al. 2022

Metals

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Taylor impact tests involving the collision of a cylindrical sample with an anvil are widely used to study the dynamic properties of materials and to test numerical methods. We apply a combined experimental-numerical approach to study the dynamic plasticity of cold-rolled oxygen-free high thermal conductivity OFHC copper. In the experimental part, impact velocities up to 113.6 m/s provide a strain up to 0.3 and strain rates up to 1.7 × 104 s−1 at the edge of the sample. Microstructural analysis allows us to find out pore-like structures with a size of about 15–30 µm and significant refinement of the grain structure in the deformed parts of the sample. In terms of modeling, the dislocation plasticity model, which was previously tested for the problem of a shock wave upon impact of a plate, is implemented in the 3D case using the numerical scheme of smoothed particle hydrodynamics (SPH). The model includes an equation of state implemented in the form of an artificial neural network (ANN) and trained according to molecular dynamics (MD) simulations of uniform isothermal stretching/compression of representative volumes of copper. The dislocation friction coefficient is taken from previous MD simulations. These two efforts are aimed at building a fully MD-based material model. Comparison of the final shape of the projectile, the reduction of the sample length and increase in the diameter of the impacted edge of the sample confirm the applicability of the developed model and allow us to optimize the model parameters for the case of cold-rolled OFHC copper.

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Section: Dislocation Plasticity Modelmentioning

confidence: 99%

Taylor Impact Tests with Copper Cylinders: Experiments, Microstructural Analysis and 3D SPH Modeling with Dislocation Plasticity and MD-Informed Artificial Neural Network as Equation of State

Rodionov

Lupanov

Grachyova

et al. 2022

Metals

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“…Ñ äðóãîé ñòîðîíû, ðàçâèòèå âû÷èñëèòåëüíîé òåõíèêè ïîçâîëÿåò ïîëó÷àòü ðåøåíèÿ äëÿ íîâûõ [1], âñå áîëåå ñëîaeíûõ ìàòåìàòè÷åñêèõ ìîäåëåé ìíîãîêîìïîíåíòíûõ ñðåä. Áîëåå òîãî, åñòü òàêèå ïðîáëåìû, êîãäà ìàòåìàòè÷åñêîå ìîäåëèðîâàíèå ÿâëÿåòñÿ åäèíñòâåííûì ñðåäñòâîì ïðåäâàðèòåëüíîãî èçó-÷åíèÿ ÿâëåíèé (íàïðèìåð, [2]).…”

Section: ââåäåíèåunclassified

“…Àäåêâàòíîñòü ìàòåìàòè÷åñêèõ ìîäåëåé ìíîãîêîìïîíåíòíûõ ñðåä ôèçè÷åñêèì ïðîöåññàì ïðåäúÿâëÿåò äîñòàòî÷íî aeåñòêèå òðåáîâàíèÿ ê ìàòåìàòè÷åñêèì ìîäåëÿì: ñ îäíîé ñòîðîíû, óðàâíåíèÿ ñîõðàíåíèÿ äîëaeíû áûòü èíâàðèàíòíû îòíîñèòåëüíî ïðåîáðàçîâàíèÿ Ãàëèëåÿ [3], ñ äðóãîé ñòîðîíû, äîëaeíû âûïîëíÿòüñÿ çàêîíû ñîõðàíåíèÿ äëÿ ñìåñè [4]. Â ðàáîòàõ [1,5] áûëî ïîêàçàíî, êàêèì îáðàçîì ìîaeíî âûïîëíèòü îáà ýòè óñëîâèÿ.…”

Section: ââåäåíèåunclassified

Modification of Method of Large Particles for Research of Currents of Gas-Suspensions

Grishchenko¹,

Kovalev²,

Kovaleva³

2015

Bulletin of the SUSU. MMP

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Â äàííîé ðàáîòå ïðèâîäèòñÿ ìîäèôèêàöèÿ ìåòîäà êðóïíûõ ÷àñòèö â ïðèëîaeå-íèè ê èññëåäîâàíèÿì òå÷åíèé ãàçîâçâåñåé. Ïîêàçàíî, ÷òî ïðåäëîaeåííàÿ ìîäèôèêàöèÿ ìåòîäà êðóïíûõ ÷àñòèö ïîçâîëÿåò ïðîâîäèòü ðàñ÷åòû ïîâåäåíèÿ óäàðíûõ âîëí â ãàçî-âçâåñÿõ áåç ââåäåíèÿ â ÿâíîì âèäå èñêóññòâåííîé âÿçêîñòè. Ýòî ïîçâîëèëî èçáåaeàòü èñ-êàaeåíèÿ ôèçè÷åñêîé êàðòèíû òå÷åíèÿ ãàçîâçâåñè, ñâÿçàííîé ñ íàëè÷èåì îñöèëëÿöèé, èìåþùèõ ìåñòî ïðè ðàñïðîñòðàíåíèè óäàðíûõ âîëí â íåîäíîðîäíûõ ñðåäàõ. Â äàííîé ðàáîòå áûëî óñòàíîâëåíî, ÷òî äëÿ ïðîâåäåíèÿ ðàñ÷åòîâ ðàñïðîñòðàíåíèÿ óäàðíûõ âîëí â ãàçîâçâåñÿõ ñ áîëüøèìè ÷èñëàìè Êóðàíòà ìîaeåò áûòü èñïîëüçîâàíà ÿâíàÿ ìîäèôè-êàöèÿ ìåòîäà êðóïíûõ ÷àñòèö. Ýòî ïîçâîëèëî çíà÷èòåëüíî ñîêðàòèòü âðåìÿ ðàñ÷åòà çàäà÷è è èçáåaeàòü ïðîâåäåíèÿ ñëîaeíûõ èòåðàöèîííûõ ïðîöåäóð, ïðèñóùèõ íåÿâíûì ðàçíîñòíûì ñõåìàì. Áûëî ïîêàçàíî, ÷òî ïðåäëîaeåííàÿ â äàííîé ðàáîòå ìîäèôèêàöèÿ ìåòîäà êðóïíûõ ÷àñòèö ÿâëÿåòñÿ ýôôåêòèâíîé è ïîçâîëÿåò ïðîâîäèòü ðàñ÷åòû äàaeå ñèëüíûõ óäàðíûõ âîëí â ãàçîâçâåñÿõ.Êëþ÷åâûå ñëîâà: ÷èñëåííûé ìåòîä; ìàòåìàòè÷åñêàÿ ìîäåëü; ãàçîâçâåñü; çàêîíû ñîõðàíåíèÿ; óäàðíûå âîëíû; ÷èñëî Êóðàíòà. ÂâåäåíèåÎòñóòñòâèå â ïðèðîäå ÷èñòûõ âåùåñòâ òðåáóåò àêòèâíîãî ðàçâèòèÿ ìàòåìàòè÷åñêèõ ìî-äåëåé ìíîãîêîìïîíåíòíûõ ñðåä, äîñòîâåðíî îïèñûâàþùèõ ôèçè÷åñêèå ïðîöåññû, ïðèìåíÿ-åìûå â ðàçëè÷íûõ îòðàñëÿõ íàóêè è òåõíèêè, ñ îäíîé ñòîðîíû. Ñ äðóãîé ñòîðîíû, ðàçâèòèå âû÷èñëèòåëüíîé òåõíèêè ïîçâîëÿåò ïîëó÷àòü ðåøåíèÿ äëÿ íîâûõ [1], âñå áîëåå ñëîaeíûõ ìàòåìàòè÷åñêèõ ìîäåëåé ìíîãîêîìïîíåíòíûõ ñðåä. Áîëåå òîãî, åñòü òàêèå ïðîáëåìû, êîãäà ìàòåìàòè÷åñêîå ìîäåëèðîâàíèå ÿâëÿåòñÿ åäèíñòâåííûì ñðåäñòâîì ïðåäâàðèòåëüíîãî èçó-÷åíèÿ ÿâëåíèé (íàïðèìåð, [2]). Àäåêâàòíîñòü ìàòåìàòè÷åñêèõ ìîäåëåé ìíîãîêîìïîíåíòíûõ ñðåä ôèçè÷åñêèì ïðîöåññàì ïðåäúÿâëÿåò äîñòàòî÷íî aeåñòêèå òðåáîâàíèÿ ê ìàòåìàòè÷åñêèì ìîäåëÿì: ñ îäíîé ñòîðîíû, óðàâíåíèÿ ñîõðàíåíèÿ äîëaeíû áûòü èíâàðèàíòíû îòíîñèòåëüíî ïðåîáðàçîâàíèÿ Ãàëèëåÿ [3], ñ äðóãîé ñòîðîíû, äîëaeíû âûïîëíÿòüñÿ çàêîíû ñîõðàíåíèÿ äëÿ ñìåñè [4]. Â ðàáîòàõ [1, 5] áûëî ïîêàçàíî, êàêèì îáðàçîì ìîaeíî âûïîëíèòü îáà ýòè óñëîâèÿ.Íåñìîòðÿ íà íàëè÷èå áîëüøîãî ÷èñëà âû÷èñëèòåëüíûõ ïàêåòîâ è óâåëè÷åíèå áûñòðîäåé-ñòâèÿ âû÷èñëèòåëüíîé òåõíèêè, ðàçðàáîòêà ýôôåêòèâíûõ ÷èñëåííûõ ìåòîäîâ è â íàñòîÿùåå âðåìÿ ÿâëÿåòñÿ àêòóàëüíîé çàäà÷åé. Óñïåøíîå ðåøåíèå ìíîãî÷èñëåííûõ çàäà÷ ãàçîâîé äè-íàìèêè è àýðîäèíàìèêè ìåòîäîì êðóïíûì ÷àñòèö [6] è åãî ìîäèôèêàöèÿìè [7] ïîçâîëÿåò íàäåÿòüñÿ íà òî, ÷òî èäåîëîãèÿ ìåòîäà ìîaeåò áûòü ïðèìåíåíà è äëÿ ðåøåíèÿ çàäà÷ ðàñïðî-ñòðàíåíèÿ óäàðíûõ âîëí â ãàçîâçâåñÿõ. Ïîýòîìó öåëüþ äàííîé ðàáîòû ÿâëÿåòñÿ ðàçðàáîòêà ìîäèôèêàöèè ìåòîäà êðóïíûõ ÷àñòèö, êîòîðàÿ ïîçâîëèò ýôôåêòèâíî ðåøàòü ïðîáëåìû, ñâÿçàííûå ñ òå÷åíèåì ãàçîâçâåñåé.

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“…In the definitions, in a number of special cases, there is a connection with dispersed systems, determined by the degree of development of the interfaces between the constituent phases [6]. A very large number of studies are devoted to the kinetics of heterogeneous media in chemistry, dynamics in mechanics [7,8,9,10], in particular in the study of the physics of combustion and explosion [11,12,13,14,15].…”

Section: Introductionmentioning

confidence: 99%

Assessment of a Heterogeneous Environment

Zverovshchikov

2022

Materials Research Proceedings

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Abstract. An approach to the assessment of a heterogeneous environment in accordance with the proposed concept of a heterogeneous environment is described. The classification of industrial heterogeneous media by technological feature is proposed. The processes described by the proposed approach include the process of metal cutting, surface plastic deformation, chemical-thermal treatment, formation of coatings, welding, most of the processes that change the level and gradient of hardness and internal stresses in the surface layer of the material. Application of the proposed principles makes it possible to find new directions in the study of such processes.

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New models of continuum mechanics

Cited by 14 publications

References 3 publications

Taylor Impact Tests with Copper Cylinders: Experiments, Microstructural Analysis and 3D SPH Modeling with Dislocation Plasticity and MD-Informed Artificial Neural Network as Equation of State

Taylor Impact Tests with Copper Cylinders: Experiments, Microstructural Analysis and 3D SPH Modeling with Dislocation Plasticity and MD-Informed Artificial Neural Network as Equation of State

Modification of Method of Large Particles for Research of Currents of Gas-Suspensions

Assessment of a Heterogeneous Environment

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