Analysis of planes within reduced micromorphic model

Abstract A plane within reduced micromorphic model subjected to external static load is studied using the finite element method. The reduced micromorphic model is a generalized continuum theory which can be used to capture the interaction of the microstructure. In this approach, the microstructure i...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	A. R. El Dhaba, S. Mahmoud Mousavi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/365d87a6429d490da7b64be76ae2f7ae
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:365d87a6429d490da7b64be76ae2f7ae
record_format	dspace
spelling	oai:doaj.org-article:365d87a6429d490da7b64be76ae2f7ae2021-12-02T16:06:42ZAnalysis of planes within reduced micromorphic model10.1038/s41598-021-94912-z2045-2322https://doaj.org/article/365d87a6429d490da7b64be76ae2f7ae2021-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-94912-zhttps://doaj.org/toc/2045-2322Abstract A plane within reduced micromorphic model subjected to external static load is studied using the finite element method. The reduced micromorphic model is a generalized continuum theory which can be used to capture the interaction of the microstructure. In this approach, the microstructure is homogenized and replaced by a reduced micromorphic material model. Then, avoiding the complexity of the microstructure, the reduced micromorphic model is analyzed to reveal the interaction of the microstructure and the external loading. In this study, the three-dimensional formulation of the reduced micromorphic model is dimensionally reduced to address a plane under in-plane external load. The governing system of partial differential equations with corresponding consistent boundary conditions are discretized and solved using the finite element method. The classical and nonclassical deformation measures are then demonstrated and discussed for the first time for a material employing the reduced micromorphic model.A. R. El DhabaS. Mahmoud MousaviNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-21 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q A. R. El Dhaba S. Mahmoud Mousavi Analysis of planes within reduced micromorphic model
description	Abstract A plane within reduced micromorphic model subjected to external static load is studied using the finite element method. The reduced micromorphic model is a generalized continuum theory which can be used to capture the interaction of the microstructure. In this approach, the microstructure is homogenized and replaced by a reduced micromorphic material model. Then, avoiding the complexity of the microstructure, the reduced micromorphic model is analyzed to reveal the interaction of the microstructure and the external loading. In this study, the three-dimensional formulation of the reduced micromorphic model is dimensionally reduced to address a plane under in-plane external load. The governing system of partial differential equations with corresponding consistent boundary conditions are discretized and solved using the finite element method. The classical and nonclassical deformation measures are then demonstrated and discussed for the first time for a material employing the reduced micromorphic model.
format	article
author	A. R. El Dhaba S. Mahmoud Mousavi
author_facet	A. R. El Dhaba S. Mahmoud Mousavi
author_sort	A. R. El Dhaba
title	Analysis of planes within reduced micromorphic model
title_short	Analysis of planes within reduced micromorphic model
title_full	Analysis of planes within reduced micromorphic model
title_fullStr	Analysis of planes within reduced micromorphic model
title_full_unstemmed	Analysis of planes within reduced micromorphic model
title_sort	analysis of planes within reduced micromorphic model
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/365d87a6429d490da7b64be76ae2f7ae
work_keys_str_mv	AT areldhaba analysisofplaneswithinreducedmicromorphicmodel AT smahmoudmousavi analysisofplaneswithinreducedmicromorphicmodel
_version_	1718384895930138624

Analysis of planes within reduced micromorphic model

Ejemplares similares