Finite Element Method-Based Dynamic Response of Micropolar Polymers with Voids

Composite-based polymer materials are manufactured in a wide variety of types with different compositions, structures, geometries, and topological descriptions. Among these, micropolar materials with voids have become increasingly studied in the literature. This paper establishes the equations of mo...

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Autores principales:	Sorin Vlase, Marin Marin
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	micropolar voids finite element minimum principle Lagrange Organic chemistry QD241-441
Acceso en línea:	https://doaj.org/article/4a1714e2de6d43459bbeb6848dcde57f
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spelling	oai:doaj.org-article:4a1714e2de6d43459bbeb6848dcde57f2021-11-11T18:45:23ZFinite Element Method-Based Dynamic Response of Micropolar Polymers with Voids10.3390/polym132137272073-4360https://doaj.org/article/4a1714e2de6d43459bbeb6848dcde57f2021-10-01T00:00:00Zhttps://www.mdpi.com/2073-4360/13/21/3727https://doaj.org/toc/2073-4360Composite-based polymer materials are manufactured in a wide variety of types with different compositions, structures, geometries, and topological descriptions. Among these, micropolar materials with voids have become increasingly studied in the literature. This paper establishes the equations of motion for such a material for the purpose of dynamic analysis via the finite element method (FEM). The Euler–Lagrangian formalism, based on the expressions of kinetic energy, potential energy, and mechanical work, is used. Hence, it is possible to study the dynamic response of such a system in the most general configuration case. The choice of the shape functions will determine the matrix coefficients for each particular case. An application illustrates the presented results.Sorin VlaseMarin MarinMDPI AGarticlemicropolarvoidsfinite elementminimum principleLagrangeOrganic chemistryQD241-441ENPolymers, Vol 13, Iss 3727, p 3727 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	micropolar voids finite element minimum principle Lagrange Organic chemistry QD241-441
spellingShingle	micropolar voids finite element minimum principle Lagrange Organic chemistry QD241-441 Sorin Vlase Marin Marin Finite Element Method-Based Dynamic Response of Micropolar Polymers with Voids
description	Composite-based polymer materials are manufactured in a wide variety of types with different compositions, structures, geometries, and topological descriptions. Among these, micropolar materials with voids have become increasingly studied in the literature. This paper establishes the equations of motion for such a material for the purpose of dynamic analysis via the finite element method (FEM). The Euler–Lagrangian formalism, based on the expressions of kinetic energy, potential energy, and mechanical work, is used. Hence, it is possible to study the dynamic response of such a system in the most general configuration case. The choice of the shape functions will determine the matrix coefficients for each particular case. An application illustrates the presented results.
format	article
author	Sorin Vlase Marin Marin
author_facet	Sorin Vlase Marin Marin
author_sort	Sorin Vlase
title	Finite Element Method-Based Dynamic Response of Micropolar Polymers with Voids
title_short	Finite Element Method-Based Dynamic Response of Micropolar Polymers with Voids
title_full	Finite Element Method-Based Dynamic Response of Micropolar Polymers with Voids
title_fullStr	Finite Element Method-Based Dynamic Response of Micropolar Polymers with Voids
title_full_unstemmed	Finite Element Method-Based Dynamic Response of Micropolar Polymers with Voids
title_sort	finite element method-based dynamic response of micropolar polymers with voids
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/4a1714e2de6d43459bbeb6848dcde57f
work_keys_str_mv	AT sorinvlase finiteelementmethodbaseddynamicresponseofmicropolarpolymerswithvoids AT marinmarin finiteelementmethodbaseddynamicresponseofmicropolarpolymerswithvoids
_version_	1718431699828736000

Finite Element Method-Based Dynamic Response of Micropolar Polymers with Voids

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