发布求助
文献互助 智能选刊 最新文献

29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES最新文献

筛选
英文 中文
Convection of ternary mixture in anisotropic porous medium 各向异性多孔介质中三元混合物的对流
29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES Pub Date : 2021-07-13 DOI: 10.1063/5.0059568
N. Zubova, T. Lyubimova
{"title":"Convection of ternary mixture in anisotropic porous medium","authors":"N. Zubova, T. Lyubimova","doi":"10.1063/5.0059568","DOIUrl":"https://doi.org/10.1063/5.0059568","url":null,"abstract":"The paper presents the results of modeling convection in the layered structure of a hydrocarbon field. A horizontally elongated rectangular cavity of a porous medium, which consists of two layers with equal porosity and different constant permeabilities, is considered. The cavity is filled with a homogeneous ternary hydrocarbon mixture. The problem is solved within the framework of the Darcy-Boussinesq model, taking into account thermal diffusion. Data on convective regimes and distribution of mixture components were obtained in cases when the ratio of the permeabilities of the lower and upper layers is greater or lower than unity.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130737820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Electromigration and stress affected kinetics of IMC growth of binary Cu-Sn couple 电迁移和应力影响Cu-Sn二元合金的IMC生长动力学
29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES Pub Date : 2021-07-13 DOI: 10.1063/5.0059609
V. Shtegman, A. Morozov, A. Freidin, W. Müller
{"title":"Electromigration and stress affected kinetics of IMC growth of binary Cu-Sn couple","authors":"V. Shtegman, A. Morozov, A. Freidin, W. Müller","doi":"10.1063/5.0059609","DOIUrl":"https://doi.org/10.1063/5.0059609","url":null,"abstract":"An analytical model of electromigration and stress affected kinetics of a chemical reaction is investigated based on the notion of the chemical affinity tensor within the small strain approximation. Effects of stresses are accounted for through their influence on the chemical affinity tensor on which the reaction front velocity depends. Electromigration is considered as an additional summand in the total flux of the diffusive constituents. The Mean-Time-To-Failure (MTTF) is estimated based on Black's equation. Then the critical thickness of the IMC layer is calculated and a dimensionless parameter, which characterizes the accumulation of vacancies due to electromigration enhanced diffusion is proposed.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131733688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical study of elastoplastic dynamic compression of metal braided grid 金属编织网格弹塑性动态压缩数值研究
29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES Pub Date : 2021-07-13 DOI: 10.1063/5.0060905
A. V. Kochetkov, I. A. Modin, E. Poverennov
{"title":"Numerical study of elastoplastic dynamic compression of metal braided grid","authors":"A. V. Kochetkov, I. A. Modin, E. Poverennov","doi":"10.1063/5.0060905","DOIUrl":"https://doi.org/10.1063/5.0060905","url":null,"abstract":"Numerical modeling of elastic-plastic compression along the normal of two symmetric fragments of a package of woven steel grid is carried out. The dynamic loading mode was carried out in the ANSYS LS-DYNA computer system. A porous grid stack is formed by overlapping layers while maintaining wire directions. The packet has a quasi-periodic structure and a symmetric fragment can be distinguished. One grid layer and two grid layers were simulated, when the second layer is shifted by half the periodicity cell. Compression was carried out by a pair of absolutely rigid plates moving symmetrically towards each other. The calculations used a plasticity model with isotropic hardening. In the calculation, two diagrams of material deformation were used: dynamic and static, obtained by increasing the yield stress. With an increase in the yield point of the material, the deformation curves of the fragment change qualitatively, as in the experiments. The final duration of the loading pulse and the friction between the wires for this type of grid do not have a significant effect. The material in the dynamic mode has time to irreversibly deform during the action of the loading pulse. A comparison of the results obtained with the experimental curve obtained under dynamic compression is shown.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114131696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Evaluation of the effect of considering elastic anisotropy on the response of polycrystals with tetragonal and HCP lattices 考虑弹性各向异性对具有四边形和HCP晶格的多晶响应影响的评价
29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES Pub Date : 2021-07-13 DOI: 10.1063/5.0059851
A. Sokolov, P. Trusov
{"title":"Evaluation of the effect of considering elastic anisotropy on the response of polycrystals with tetragonal and HCP lattices","authors":"A. Sokolov, P. Trusov","doi":"10.1063/5.0059851","DOIUrl":"https://doi.org/10.1063/5.0059851","url":null,"abstract":"In recent years, much attention has been paid to polycrystalline material multilevel models based on physical theories of elastoviscoplasticity. In many applied works, based on the assumption of a uniform distribution of crystallite orientations, it is assumed that the representative macrovolume of polycrystalline metals and alloys can be considered as elastic-isotropic at the macrolevel. A similar assumption was taken in some works (especially at an early stage in the development of multilevel models) for crystallites, despite the fact that at the grain level the materials in question have a pronounced anisotropy of elastic properties. The purpose of the proposed work is to assess the differences in stress-strain state characteristics (especially residual mesostresses) at isothermal loads of the representative volume of polycrystals due to considering the anisotropy of elastic properties of its crystallites with HCP and tetragonal lattices (as compared to the data obtained for material with isotropic elastic properties obtained using different averaging procedures – Voigt, Reuss and Hill). The results of a stress-strain analysis for a simple shear (up to accumulated deformation of 50%) of polycrystalline samples are given. The study used a statistical two-level constitutive model based on the geometrically nonlinear physical theory of elastoviscoplasticity. In these constitutive models, one of the main relations is an elastic law written in a velocity relaxation form in terms of stress and strain rate measures independent on the choice of a reference system (or on an imposed rigid motion).","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127823869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Non-stationary dendrite shape in the case of a high growth rate 在非静止枝晶形状的情况下生长速度高
29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES Pub Date : 2021-07-13 DOI: 10.1063/5.0059625
E. Titova
{"title":"Non-stationary dendrite shape in the case of a high growth rate","authors":"E. Titova","doi":"10.1063/5.0059625","DOIUrl":"https://doi.org/10.1063/5.0059625","url":null,"abstract":"In the limit of infinite Peclet number, the shape of the solid/liquid interface is defined by the Gibbs-Thomson thermodynamic balance condition which contains the mean curvature and kinetic term in the general undercooling at the phase transition interface. Expressing the time derivative of the surface function from the kinetic contribution we have found the shape of the phase transition surface in the two-dimensional case for non-stationary solidification. The analytical solution was found in the form of a time-dependent correction factor to the spherical surface. It is shown that the dendritic surface quickly approaches the steady-state spherical shape in the course of time. In addition, the time of non-stationary period approximately equals 10−14 sec. The theory under consideration can be applied in analyzing more complex problems met in the dendritic growth theory (for instance, the growth of crystals in undercooled binary melts, the growth of dendrites in the presence of forced convection, local-nonequilibrium (rapid) solidification, and so on).","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128003241","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Study of the influence of the pore manner of aggregation on the crack growth path in a finite element model of a porous alloy 多孔合金有限元模型中孔隙聚集方式对裂纹扩展路径影响的研究
29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES Pub Date : 2021-07-13 DOI: 10.1063/5.0060315
S.I. Voronin, V. Danilushkin, V. Tregub
{"title":"Study of the influence of the pore manner of aggregation on the crack growth path in a finite element model of a porous alloy","authors":"S.I. Voronin, V. Danilushkin, V. Tregub","doi":"10.1063/5.0060315","DOIUrl":"https://doi.org/10.1063/5.0060315","url":null,"abstract":"The work presents the results of studying the process of crack origin and development by finite element analysis in models of a single-phase alloy containing micro-sized aligned populations with cubic, asymmetric, and hexagonal isometrical systems. As a result of computer modeling, data were obtained on the nature of the distribution of stresses and strains, and the crack growth path. A comparative analysis of the crack growth path in the models was performed, and it was also confirmed that the pore could serve as a stop on the crack growth path.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"475 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133423803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical analysis of an influence of an active electric impact on a mechanical response of an electro-viscoelastic structure 有源电冲击对电粘弹性结构力学响应影响的数值分析
29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES Pub Date : 2021-07-13 DOI: 10.1063/5.0059631
M. Iurlov, N. Sevodina, D. Oshmarin, N. Iurlova
{"title":"Numerical analysis of an influence of an active electric impact on a mechanical response of an electro-viscoelastic structure","authors":"M. Iurlov, N. Sevodina, D. Oshmarin, N. Iurlova","doi":"10.1063/5.0059631","DOIUrl":"https://doi.org/10.1063/5.0059631","url":null,"abstract":"The paper is devoted to investigation of mechanical response of an electro-viscoelastic structure (a structure with piezoelectric element attached to its surface) in case when electric voltage with prescribed parameters is applied to electrodes of piezoelectric element. A cantilever plate was considered as such a structure. An amplitude of displacements of the free end of the plate at resonant modes is considered as a mechanical response in case when forced steady-state vibrations occurring under kinematic or force loading are considered. Mechanical response of the structure is determined numerically using the ANSYS software package. Viscoelastic properties of a material of the plate are taken into account using the model with complex dynamic moduli. Within the frameworks of this paper relations between mechanical response of the structure and magnitude and polarity of electric voltage applied to electrodes of a piezoelectric element was obtained with respect to a type of excitation of vibrations.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123871926","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability of Marangoni convection in a thin film under the influence of vertical vibrations 垂直振动影响下薄膜中马兰戈尼对流的稳定性
29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES Pub Date : 2021-07-13 DOI: 10.1063/5.0059527
I. Volodin, A. Alabuzhev
{"title":"Stability of Marangoni convection in a thin film under the influence of vertical vibrations","authors":"I. Volodin, A. Alabuzhev","doi":"10.1063/5.0059527","DOIUrl":"https://doi.org/10.1063/5.0059527","url":null,"abstract":"In this article we consider impact of vertical vibration on longwave Marangoni convection in a thin layer heated from below. The thermal conductivity of the lower solid boundary is assumed high. Vibration period is comparable with the characteristic time of the film evolution, vibration amplitude is of the order of the layer thickness. We have demonstrated that under above conditions the vibration results only in the gravity modulation in the conventional amplitude equation. The stability study showed that in the absence of noise, vibrations do not change the threshold for convection; in the presence of noise, the layer is destabilized. Nonlinear calculations confirmed the last conclusion – subcritical occurrence of convection was detected. An asymptotic analysis, describing the transition with increasing vibration frequency from parametric influence to an averaged description, is also performed.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121964863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability of porous filter cleaning by vertical flow 垂直流清洗多孔过滤器的稳定性
29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES Pub Date : 2021-07-13 DOI: 10.1063/5.0059551
B. Maryshev, L. Klimenko
{"title":"Stability of porous filter cleaning by vertical flow","authors":"B. Maryshev, L. Klimenko","doi":"10.1063/5.0059551","DOIUrl":"https://doi.org/10.1063/5.0059551","url":null,"abstract":"The paper is devoted to the investigation of the cleaning process of porous media. Equations describing this process are derived on the base of the most popular and experimentally confirmed models for solute transport in porous media (I), fluid flow through porous media (II) and dependence between base parameters of media (porosity and permeability) (III). In the case of the closed domain cleaning the one-dimensional solution is obtained. This solution describes the effective vertical seepage regime. The stability of such a regime is studied by the quasi-static method. The neutral curves and dependences of critical time on problem parameters are obtained.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133784094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Investigation of dissipative properties of electro-viscoelastic structure with resistive-shunted piezoelectric element 电阻并联压电元件电粘弹性结构耗散特性研究
29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES Pub Date : 2021-07-13 DOI: 10.1063/5.0059531
N. Iurlova, N. Sevodina, D. Oshmarin, M. Iurlov
{"title":"Investigation of dissipative properties of electro-viscoelastic structure with resistive-shunted piezoelectric element","authors":"N. Iurlova, N. Sevodina, D. Oshmarin, M. Iurlov","doi":"10.1063/5.0059531","DOIUrl":"https://doi.org/10.1063/5.0059531","url":null,"abstract":"The paper demonstrates the possibility of controlling the dissipative properties of structures containing viscoelastic elements by adding piezoelectric elements, to the electrodes of which external electrical circuits are connected. On the basis of the results of solution to the problem of natural vibrations of piecewise-homogeneous electro-viscoelastic bodies with passive external electric circuits, an analysis of the effect of a shunted piezoelectric element on the damping coefficients of an electro-viscoelastic system was carried out. A two-layer shell structure is adopted as the object of research. The outer layer of the shell is made of elastic, and the inner one is made of viscoelastic materials. For the case of attaching resistive-shunted piezoelectric element it was shown that a resulting damping coefficient for the specified vibration mode is not a simple algebraic sum of damping coefficient obtained for a viscoelastic structure without piezoelectric element and the one obtained for an elastic structure with resistive-shunted piezoelectric element (in case when resistance of a shunting circuit is optimally chosen). At the same time, an attention is drawn to the fact that if the damping coefficient of the corresponding vibration mode decreases when only a piezoelectric element is connected, then even when a resistive circuit with optimal parameters is connected to it, the final damping coefficient for this vibration mode may be lower than that of a structure without a piezoelectric element.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134067306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信