Homogenization of a unidirectional composite reinforced with two types of transtropic hollow fibers

A method for determining effective elastic constants of a composite unidirectionally reinforced with two types of transtropic hollow fibers is developed. Determining these characteristics is an integral step in the design of composite structures. The approach is based on analytical formulas for dete...

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Autores principales:	Anastasiia Stoliarova, Andriy Pozhuyev, Oksana Spytsia, Alla Bohuslavska
Formato:	article
Lenguaje:	EN RU UK
Publicado:	PC Technology Center 2021
Materias:	three-component unidirectional composite transtropic hollow fibers effective elastic constants homogenization Technology (General) T1-995 Industry HD2321-4730.9
Acceso en línea:	https://doaj.org/article/5be05f6545e84b589ede66efcc0ba515
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spelling	oai:doaj.org-article:5be05f6545e84b589ede66efcc0ba5152021-11-04T14:08:24ZHomogenization of a unidirectional composite reinforced with two types of transtropic hollow fibers1729-37741729-406110.15587/1729-4061.2021.242398https://doaj.org/article/5be05f6545e84b589ede66efcc0ba5152021-10-01T00:00:00Zhttp://journals.uran.ua/eejet/article/view/242398https://doaj.org/toc/1729-3774https://doaj.org/toc/1729-4061A method for determining effective elastic constants of a composite unidirectionally reinforced with two types of transtropic hollow fibers is developed. Determining these characteristics is an integral step in the design of composite structures. The approach is based on analytical formulas for determining the elastic characteristics of a two-component composite with a transtropic matrix and hollow fiber. Hexagonal fiber lay-up with periodic reinforcement structure is considered. Double homogenization is used. The composite is conventionally divided into hexagonal regions of two types. The first is a hollow fiber of one material and the surrounding matrix. Similarly, the second one – with a hollow fiber of another material. In the first homogenization, elastic constants of the transtropic material of each of the two regions are determined. In the repeated homogenization, the region of the first type is taken as a “conditional” fiber, the region of the second type is taken as a “conditional” matrix. Effective elastic constants for a composite reinforced with two types of isotropic hollow fibers are calculated. The proposed method gives a good convergence of the results with calculations by known formulas. The maximum relative calculation error for the longitudinal elastic characteristics compared to known formulas does not exceed 0.05 %. The dependences of some effective elastic constants on the volume content of hollow fibers of various types are constructed. Using this approach, three-component composites can be modeled varying the materials of the matrix, hollow fibers and their volume content. This allows predicting the strength of such composites under certain deformations at the design stageAnastasiia StoliarovaAndriy PozhuyevOksana SpytsiaAlla BohuslavskaPC Technology Centerarticlethree-component unidirectional compositetranstropic hollow fiberseffective elastic constantshomogenizationTechnology (General)T1-995IndustryHD2321-4730.9ENRUUKEastern-European Journal of Enterprise Technologies, Vol 5, Iss 7 (113), Pp 52-58 (2021)
institution	DOAJ
collection	DOAJ
language	EN RU UK
topic	three-component unidirectional composite transtropic hollow fibers effective elastic constants homogenization Technology (General) T1-995 Industry HD2321-4730.9
spellingShingle	three-component unidirectional composite transtropic hollow fibers effective elastic constants homogenization Technology (General) T1-995 Industry HD2321-4730.9 Anastasiia Stoliarova Andriy Pozhuyev Oksana Spytsia Alla Bohuslavska Homogenization of a unidirectional composite reinforced with two types of transtropic hollow fibers
description	A method for determining effective elastic constants of a composite unidirectionally reinforced with two types of transtropic hollow fibers is developed. Determining these characteristics is an integral step in the design of composite structures. The approach is based on analytical formulas for determining the elastic characteristics of a two-component composite with a transtropic matrix and hollow fiber. Hexagonal fiber lay-up with periodic reinforcement structure is considered. Double homogenization is used. The composite is conventionally divided into hexagonal regions of two types. The first is a hollow fiber of one material and the surrounding matrix. Similarly, the second one – with a hollow fiber of another material. In the first homogenization, elastic constants of the transtropic material of each of the two regions are determined. In the repeated homogenization, the region of the first type is taken as a “conditional” fiber, the region of the second type is taken as a “conditional” matrix. Effective elastic constants for a composite reinforced with two types of isotropic hollow fibers are calculated. The proposed method gives a good convergence of the results with calculations by known formulas. The maximum relative calculation error for the longitudinal elastic characteristics compared to known formulas does not exceed 0.05 %. The dependences of some effective elastic constants on the volume content of hollow fibers of various types are constructed. Using this approach, three-component composites can be modeled varying the materials of the matrix, hollow fibers and their volume content. This allows predicting the strength of such composites under certain deformations at the design stage
format	article
author	Anastasiia Stoliarova Andriy Pozhuyev Oksana Spytsia Alla Bohuslavska
author_facet	Anastasiia Stoliarova Andriy Pozhuyev Oksana Spytsia Alla Bohuslavska
author_sort	Anastasiia Stoliarova
title	Homogenization of a unidirectional composite reinforced with two types of transtropic hollow fibers
title_short	Homogenization of a unidirectional composite reinforced with two types of transtropic hollow fibers
title_full	Homogenization of a unidirectional composite reinforced with two types of transtropic hollow fibers
title_fullStr	Homogenization of a unidirectional composite reinforced with two types of transtropic hollow fibers
title_full_unstemmed	Homogenization of a unidirectional composite reinforced with two types of transtropic hollow fibers
title_sort	homogenization of a unidirectional composite reinforced with two types of transtropic hollow fibers
publisher	PC Technology Center
publishDate	2021
url	https://doaj.org/article/5be05f6545e84b589ede66efcc0ba515
work_keys_str_mv	AT anastasiiastoliarova homogenizationofaunidirectionalcompositereinforcedwithtwotypesoftranstropichollowfibers AT andriypozhuyev homogenizationofaunidirectionalcompositereinforcedwithtwotypesoftranstropichollowfibers AT oksanaspytsia homogenizationofaunidirectionalcompositereinforcedwithtwotypesoftranstropichollowfibers AT allabohuslavska homogenizationofaunidirectionalcompositereinforcedwithtwotypesoftranstropichollowfibers
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Homogenization of a unidirectional composite reinforced with two types of transtropic hollow fibers

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