Mathematical Modeling of Electrical Conductivity of Anisotropic Nanocomposite with Periodic Structure

Composite materials consisting of a dielectric matrix with conductive inclusions are promising in the field of micro- and optoelectronics. The properties of a nanocomposite material are strongly influenced by the characteristics of the substances included in its composition, as well as the shape and...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Sergey Korchagin, Ekaterina Pleshakova, Irina Alexandrova, Vitaliy Dolgov, Elena Dogadina, Denis Serdechnyy, Konstantin Bublikov
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	composite materials mathematical modeling electrical conductivity layered nanocomposites periodic structure Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/9f2e66c91e1c453b9da8b2091e1ecf0a
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:9f2e66c91e1c453b9da8b2091e1ecf0a
record_format	dspace
spelling	oai:doaj.org-article:9f2e66c91e1c453b9da8b2091e1ecf0a2021-11-25T18:17:26ZMathematical Modeling of Electrical Conductivity of Anisotropic Nanocomposite with Periodic Structure10.3390/math92229482227-7390https://doaj.org/article/9f2e66c91e1c453b9da8b2091e1ecf0a2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2948https://doaj.org/toc/2227-7390Composite materials consisting of a dielectric matrix with conductive inclusions are promising in the field of micro- and optoelectronics. The properties of a nanocomposite material are strongly influenced by the characteristics of the substances included in its composition, as well as the shape and size of inclusions and the orientation of particles in the matrix. The use of nanocomposite material has significantly expanded and covers various systems. The anisotropic form of inclusions is the main reason for the appearance of optical anisotropy. In this article, models and methods describing the electrical conductivity of a layered nanocomposite of a self-similar structure are proposed. The method of modeling the electrical conductivity of individual blocks, layers, and composite as a whole is carried out similarly to the method of determining the dielectric constant. The advantage of the method proposed in this paper is the removal of restrictions imposed on the theory of generalized conductivity associated with the need to set the dielectric constant.Sergey KorchaginEkaterina PleshakovaIrina AlexandrovaVitaliy DolgovElena DogadinaDenis SerdechnyyKonstantin BublikovMDPI AGarticlecomposite materialsmathematical modelingelectrical conductivitylayered nanocompositesperiodic structureMathematicsQA1-939ENMathematics, Vol 9, Iss 2948, p 2948 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	composite materials mathematical modeling electrical conductivity layered nanocomposites periodic structure Mathematics QA1-939
spellingShingle	composite materials mathematical modeling electrical conductivity layered nanocomposites periodic structure Mathematics QA1-939 Sergey Korchagin Ekaterina Pleshakova Irina Alexandrova Vitaliy Dolgov Elena Dogadina Denis Serdechnyy Konstantin Bublikov Mathematical Modeling of Electrical Conductivity of Anisotropic Nanocomposite with Periodic Structure
description	Composite materials consisting of a dielectric matrix with conductive inclusions are promising in the field of micro- and optoelectronics. The properties of a nanocomposite material are strongly influenced by the characteristics of the substances included in its composition, as well as the shape and size of inclusions and the orientation of particles in the matrix. The use of nanocomposite material has significantly expanded and covers various systems. The anisotropic form of inclusions is the main reason for the appearance of optical anisotropy. In this article, models and methods describing the electrical conductivity of a layered nanocomposite of a self-similar structure are proposed. The method of modeling the electrical conductivity of individual blocks, layers, and composite as a whole is carried out similarly to the method of determining the dielectric constant. The advantage of the method proposed in this paper is the removal of restrictions imposed on the theory of generalized conductivity associated with the need to set the dielectric constant.
format	article
author	Sergey Korchagin Ekaterina Pleshakova Irina Alexandrova Vitaliy Dolgov Elena Dogadina Denis Serdechnyy Konstantin Bublikov
author_facet	Sergey Korchagin Ekaterina Pleshakova Irina Alexandrova Vitaliy Dolgov Elena Dogadina Denis Serdechnyy Konstantin Bublikov
author_sort	Sergey Korchagin
title	Mathematical Modeling of Electrical Conductivity of Anisotropic Nanocomposite with Periodic Structure
title_short	Mathematical Modeling of Electrical Conductivity of Anisotropic Nanocomposite with Periodic Structure
title_full	Mathematical Modeling of Electrical Conductivity of Anisotropic Nanocomposite with Periodic Structure
title_fullStr	Mathematical Modeling of Electrical Conductivity of Anisotropic Nanocomposite with Periodic Structure
title_full_unstemmed	Mathematical Modeling of Electrical Conductivity of Anisotropic Nanocomposite with Periodic Structure
title_sort	mathematical modeling of electrical conductivity of anisotropic nanocomposite with periodic structure
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/9f2e66c91e1c453b9da8b2091e1ecf0a
work_keys_str_mv	AT sergeykorchagin mathematicalmodelingofelectricalconductivityofanisotropicnanocompositewithperiodicstructure AT ekaterinapleshakova mathematicalmodelingofelectricalconductivityofanisotropicnanocompositewithperiodicstructure AT irinaalexandrova mathematicalmodelingofelectricalconductivityofanisotropicnanocompositewithperiodicstructure AT vitaliydolgov mathematicalmodelingofelectricalconductivityofanisotropicnanocompositewithperiodicstructure AT elenadogadina mathematicalmodelingofelectricalconductivityofanisotropicnanocompositewithperiodicstructure AT denisserdechnyy mathematicalmodelingofelectricalconductivityofanisotropicnanocompositewithperiodicstructure AT konstantinbublikov mathematicalmodelingofelectricalconductivityofanisotropicnanocompositewithperiodicstructure
_version_	1718411399876575232

Mathematical Modeling of Electrical Conductivity of Anisotropic Nanocomposite with Periodic Structure

Ejemplares similares