Pub Date : 2016-10-01DOI: 10.1109/VMNEYR.2016.7880409
Yulia Malkova, R. Petrukhin
The problems of elasticity for composite materials with holes and inclusions have a great practical significance for mechanics, physics and other areas of science. In this work the analytic solution of a plane problem (plane strain and plane stress) for bi-material plate with an elliptic hole is obtained. A hole is located entirely in a lower half-plane. The constant stresses are given at infinity and on the boundary of the hole an external load is applied. The methods of Kolosov–Muskhelishvili complex potentials, conformal mapping and superposition are used for the solution of the problem. The affinity of a hole to an interface makes essential influence on value of stresses in a vicinity of a hole and on value of stresses at an interface. For engineering applications it is important to know the fields of the stresses and displacements in order to estimate influence of a hole on strength of structure. From considered problems as special cases follow the solutions of problems about a half-plane with an elliptic hole, about an inclined crack in a bi-material plane and half-plane.
{"title":"Stress analysis of bi-material plane with an elliptic hole by analytical and numerical methods","authors":"Yulia Malkova, R. Petrukhin","doi":"10.1109/VMNEYR.2016.7880409","DOIUrl":"https://doi.org/10.1109/VMNEYR.2016.7880409","url":null,"abstract":"The problems of elasticity for composite materials with holes and inclusions have a great practical significance for mechanics, physics and other areas of science. In this work the analytic solution of a plane problem (plane strain and plane stress) for bi-material plate with an elliptic hole is obtained. A hole is located entirely in a lower half-plane. The constant stresses are given at infinity and on the boundary of the hole an external load is applied. The methods of Kolosov–Muskhelishvili complex potentials, conformal mapping and superposition are used for the solution of the problem. The affinity of a hole to an interface makes essential influence on value of stresses in a vicinity of a hole and on value of stresses at an interface. For engineering applications it is important to know the fields of the stresses and displacements in order to estimate influence of a hole on strength of structure. From considered problems as special cases follow the solutions of problems about a half-plane with an elliptic hole, about an inclined crack in a bi-material plane and half-plane.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124479018","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}
Pub Date : 2016-10-01DOI: 10.1109/VMNEYR.2016.7880414
Valeriya S. Novikova, E. Vinogradova
The rotationally symmetric diode system with a field cathode is under investigation. The shape of the field cathode is sphere-on-cone. The anode is a part of a sphere. In this paper two cases are considered, when the interior of system’s domain is filled with two and three different dielectrics. To calculate the electrostatic potential distribution the method of separation of variables is used. The solution of the boundary-value problem for the Laplace’s equation in the spherical coordinates is found an analytical form as the Legendre functions series.
{"title":"Mathematical modeling of a diode system with a spherical field cathode","authors":"Valeriya S. Novikova, E. Vinogradova","doi":"10.1109/VMNEYR.2016.7880414","DOIUrl":"https://doi.org/10.1109/VMNEYR.2016.7880414","url":null,"abstract":"The rotationally symmetric diode system with a field cathode is under investigation. The shape of the field cathode is sphere-on-cone. The anode is a part of a sphere. In this paper two cases are considered, when the interior of system’s domain is filled with two and three different dielectrics. To calculate the electrostatic potential distribution the method of separation of variables is used. The solution of the boundary-value problem for the Laplace’s equation in the spherical coordinates is found an analytical form as the Legendre functions series.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131347541","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}
Pub Date : 2016-10-01DOI: 10.1109/VMNEYR.2016.7880399
T. Andreeva, M. Bedrina
DFT B3LYP/6-31G method and polarizable continuum model (PCM) were used for the study of dimers and trimers 4-cyano-4′-n-pentylbiphenyl molecule (CB5) in various solvents. It was shown that there are changes of structure and vibrational spectra of molecules CB5.
{"title":"The influence of the continuum environment on molecular complexes formed by liquid crystals","authors":"T. Andreeva, M. Bedrina","doi":"10.1109/VMNEYR.2016.7880399","DOIUrl":"https://doi.org/10.1109/VMNEYR.2016.7880399","url":null,"abstract":"DFT B3LYP/6-31G method and polarizable continuum model (PCM) were used for the study of dimers and trimers 4-cyano-4′-n-pentylbiphenyl molecule (CB5) in various solvents. It was shown that there are changes of structure and vibrational spectra of molecules CB5.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"220 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114420830","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}
Pub Date : 2016-10-01DOI: 10.1109/VMNEYR.2016.7880398
V. Altsybeyev
The DAISI (Design of Accelerators, optImizations and SImulations) is the user-configurable code for plasma and beam dynamics simulations using particle-mesh methods of Vlasov equation solution in electrostatic approximation. Coordinate system, computational domain geometry, boundary conditions and solver settings are specified by user. The user interface is developed using Qt. Additional modules and routines for design RFQ and DTL linacs are aviable in Design Module.
{"title":"Configurable code for beam dynamics simulations in electrostatic approximation","authors":"V. Altsybeyev","doi":"10.1109/VMNEYR.2016.7880398","DOIUrl":"https://doi.org/10.1109/VMNEYR.2016.7880398","url":null,"abstract":"The DAISI (Design of Accelerators, optImizations and SImulations) is the user-configurable code for plasma and beam dynamics simulations using particle-mesh methods of Vlasov equation solution in electrostatic approximation. Coordinate system, computational domain geometry, boundary conditions and solver settings are specified by user. The user interface is developed using Qt. Additional modules and routines for design RFQ and DTL linacs are aviable in Design Module.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115361525","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}
Pub Date : 2016-10-01DOI: 10.1109/VMNEYR.2016.7880412
K. Nikiforov
Modelling of the field emitter tip and its surface structure at nano and meso-scale is presented. Method for localization of crystallographic faces on the surface is proposed and implemented.
在纳米和中观尺度上建立了场发射极尖端及其表面结构的模型。提出并实现了一种表面结晶面定位方法。
{"title":"Modelling of crystallographic faces of field emitter tip","authors":"K. Nikiforov","doi":"10.1109/VMNEYR.2016.7880412","DOIUrl":"https://doi.org/10.1109/VMNEYR.2016.7880412","url":null,"abstract":"Modelling of the field emitter tip and its surface structure at nano and meso-scale is presented. Method for localization of crystallographic faces on the surface is proposed and implemented.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115189153","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}
Pub Date : 2016-10-01DOI: 10.1109/VMNEYR.2016.7880413
K. Nikiforov, M. Lunkovskiy
Modeling of non-flat surface of field emitter tip in nano scale is presented. An algorithm of constructing the crystal structure of a tip-emitter surface is developed and implemented. Program implementation and execution time of computer program are discussed.
{"title":"Algorithm for computation of coordinates of atoms on field emitter tip surface","authors":"K. Nikiforov, M. Lunkovskiy","doi":"10.1109/VMNEYR.2016.7880413","DOIUrl":"https://doi.org/10.1109/VMNEYR.2016.7880413","url":null,"abstract":"Modeling of non-flat surface of field emitter tip in nano scale is presented. An algorithm of constructing the crystal structure of a tip-emitter surface is developed and implemented. Program implementation and execution time of computer program are discussed.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124560046","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}
Pub Date : 2016-10-01DOI: 10.1109/VMNEYR.2016.7880406
D. Kuranov, M. Bedrina
The dependence of the ionization potential of zinc phthalocyanine deposited on a substrate from two parameters was determined. We varied the distance to the substrate and the dielectric constant of the substrate material. It is shown that the ionization potential is reduced by 1 eV in the presence of the substrate.
{"title":"Modeling the interaction between phthalocyanine films and dielectric substrates","authors":"D. Kuranov, M. Bedrina","doi":"10.1109/VMNEYR.2016.7880406","DOIUrl":"https://doi.org/10.1109/VMNEYR.2016.7880406","url":null,"abstract":"The dependence of the ionization potential of zinc phthalocyanine deposited on a substrate from two parameters was determined. We varied the distance to the substrate and the dielectric constant of the substrate material. It is shown that the ionization potential is reduced by 1 eV in the presence of the substrate.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120937689","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}
Pub Date : 2016-10-01DOI: 10.1109/VMNEYR.2016.7880407
Ekaterina E. Lifantova, M. I. Varayun', A. Y. Antonov
In the paper the problem of constructing a linear regression model to estimate the parameters of the integral Fowler—Nordheim equation is considered. Numerical modeling of the field emission current with a normally distributed noise is carried out. Based on the method of least squares, estimates of the parameters of the Fowler—Nordheim equation are constructed. The application of statistical tests showed that in most cases the remains of a linear regression model are normally distributed, in spite of the logarithmic transformation of the integrated current-voltage characteristics. In a sense, the results are justify the applicability of the convenient methods of linear regression analysis to estimate the parameters of the I–V curve.
{"title":"A linear regression model for the field emission signal","authors":"Ekaterina E. Lifantova, M. I. Varayun', A. Y. Antonov","doi":"10.1109/VMNEYR.2016.7880407","DOIUrl":"https://doi.org/10.1109/VMNEYR.2016.7880407","url":null,"abstract":"In the paper the problem of constructing a linear regression model to estimate the parameters of the integral Fowler—Nordheim equation is considered. Numerical modeling of the field emission current with a normally distributed noise is carried out. Based on the method of least squares, estimates of the parameters of the Fowler—Nordheim equation are constructed. The application of statistical tests showed that in most cases the remains of a linear regression model are normally distributed, in spite of the logarithmic transformation of the integrated current-voltage characteristics. In a sense, the results are justify the applicability of the convenient methods of linear regression analysis to estimate the parameters of the I–V curve.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130819985","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}
Pub Date : 2016-10-01DOI: 10.1109/VMNEYR.2016.7880405
Ella V. Kalaturskaja, E. Vinogradova
This paper is devoted to the mathematical modeling of the field emission diode system. The diode system is consists of the infinitely thin field emitter as a cathode and a plane anode. The emitter substrate is a plane. The interior of system domain is filled with two different dielectrics. The electrostatic potential distribution is found by the method of separation of variables for the Laplace’s equation in cylindrical coordinates as the Fourier- Bessel series.
{"title":"The field emission system with the thin emitter mathematical modeling","authors":"Ella V. Kalaturskaja, E. Vinogradova","doi":"10.1109/VMNEYR.2016.7880405","DOIUrl":"https://doi.org/10.1109/VMNEYR.2016.7880405","url":null,"abstract":"This paper is devoted to the mathematical modeling of the field emission diode system. The diode system is consists of the infinitely thin field emitter as a cathode and a plane anode. The emitter substrate is a plane. The interior of system domain is filled with two different dielectrics. The electrostatic potential distribution is found by the method of separation of variables for the Laplace’s equation in cylindrical coordinates as the Fourier- Bessel series.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123685649","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}
Pub Date : 2016-10-01DOI: 10.1109/VMNEYR.2016.7880410
V. Malkov, Yulia Malkova
The problems of elasticity for composite materials with inclusions have a great practical significance for physics, mechanics and other fields of science. In this paper the exact analytical solution to nonlinear problem of plane with elliptic inclusion is obtained. The constant nominal (Piola) stresses are given at infinity. Mechanical properties of plane and inclusion are modeling by harmonic semi-linear material. The stresses and displacements are expressed through two analytic functions of a complex variable, which are defined from nonlinear boundary conditions. Acceptance of a hypothesis, that nominal stress tensor is constant inside inclusion, has allowed to reduce a difficult problem of interface of two elastic bodies to the solution of two more simple problems for a plane with an elliptic hole. Validity of this hypothesis is proved to that obtained solution precisely satisfies to all equations and boundary conditions of a problem. The nominal hoop stresses were calculated on an interface of plane and inclusion for different material parameters.
{"title":"Nonlinear deformation of plane with elastic elliptic inclusion for model of semi-linear material","authors":"V. Malkov, Yulia Malkova","doi":"10.1109/VMNEYR.2016.7880410","DOIUrl":"https://doi.org/10.1109/VMNEYR.2016.7880410","url":null,"abstract":"The problems of elasticity for composite materials with inclusions have a great practical significance for physics, mechanics and other fields of science. In this paper the exact analytical solution to nonlinear problem of plane with elliptic inclusion is obtained. The constant nominal (Piola) stresses are given at infinity. Mechanical properties of plane and inclusion are modeling by harmonic semi-linear material. The stresses and displacements are expressed through two analytic functions of a complex variable, which are defined from nonlinear boundary conditions. Acceptance of a hypothesis, that nominal stress tensor is constant inside inclusion, has allowed to reduce a difficult problem of interface of two elastic bodies to the solution of two more simple problems for a plane with an elliptic hole. Validity of this hypothesis is proved to that obtained solution precisely satisfies to all equations and boundary conditions of a problem. The nominal hoop stresses were calculated on an interface of plane and inclusion for different material parameters.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124385100","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}
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