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Analysis of Stress Concentration in Functionally Graded Plates with Linearly Increasing Young’s Modulus

In this article, the strain and stress analyses of functionally graded plates with circular holes that are subject to a uniaxial far-field traction load are analytically considered. The Young’s modulus is assumed to vary linearly along the radial direction around the hole. The adoption of such a typ...

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Autores principales: Abdalla, Hassan Mohamed Abdelalim, Casagrande, Daniele, De Bona, Francesco
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10648393/
https://www.ncbi.nlm.nih.gov/pubmed/37959479
http://dx.doi.org/10.3390/ma16216882
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author Abdalla, Hassan Mohamed Abdelalim
Casagrande, Daniele
De Bona, Francesco
author_facet Abdalla, Hassan Mohamed Abdelalim
Casagrande, Daniele
De Bona, Francesco
author_sort Abdalla, Hassan Mohamed Abdelalim
collection PubMed
description In this article, the strain and stress analyses of functionally graded plates with circular holes that are subject to a uniaxial far-field traction load are analytically considered. The Young’s modulus is assumed to vary linearly along the radial direction around the hole. The adoption of such a type of inhomogeneity variation can be justified as follows. Firstly, and among all the possible variations of stiffness, the linear one is indeed the simplest inhomogeneity distribution. Surprisingly however, according to our knowledge extent, the associated elastic fields were not yet addressed in the literature. Secondly, a linearly varying stiffness could reasonably imply a remarkable advantage from a technological point of view. In fact, unlike nonlinearly varying stiffness plates, manufacturing routes are only required to handle constant variations throughout the radial domain. After recalling the basic equations for plane stress elasticity, the displacement, strain, and stress fields around the hole were numerically tackled and discussed for different stiffness ratios. A comparison was also carried out with other Young’s modulus distributions that have been commonly employed in the literature.
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spelling pubmed-106483932023-10-26 Analysis of Stress Concentration in Functionally Graded Plates with Linearly Increasing Young’s Modulus Abdalla, Hassan Mohamed Abdelalim Casagrande, Daniele De Bona, Francesco Materials (Basel) Article In this article, the strain and stress analyses of functionally graded plates with circular holes that are subject to a uniaxial far-field traction load are analytically considered. The Young’s modulus is assumed to vary linearly along the radial direction around the hole. The adoption of such a type of inhomogeneity variation can be justified as follows. Firstly, and among all the possible variations of stiffness, the linear one is indeed the simplest inhomogeneity distribution. Surprisingly however, according to our knowledge extent, the associated elastic fields were not yet addressed in the literature. Secondly, a linearly varying stiffness could reasonably imply a remarkable advantage from a technological point of view. In fact, unlike nonlinearly varying stiffness plates, manufacturing routes are only required to handle constant variations throughout the radial domain. After recalling the basic equations for plane stress elasticity, the displacement, strain, and stress fields around the hole were numerically tackled and discussed for different stiffness ratios. A comparison was also carried out with other Young’s modulus distributions that have been commonly employed in the literature. MDPI 2023-10-26 /pmc/articles/PMC10648393/ /pubmed/37959479 http://dx.doi.org/10.3390/ma16216882 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Abdalla, Hassan Mohamed Abdelalim
Casagrande, Daniele
De Bona, Francesco
Analysis of Stress Concentration in Functionally Graded Plates with Linearly Increasing Young’s Modulus
title Analysis of Stress Concentration in Functionally Graded Plates with Linearly Increasing Young’s Modulus
title_full Analysis of Stress Concentration in Functionally Graded Plates with Linearly Increasing Young’s Modulus
title_fullStr Analysis of Stress Concentration in Functionally Graded Plates with Linearly Increasing Young’s Modulus
title_full_unstemmed Analysis of Stress Concentration in Functionally Graded Plates with Linearly Increasing Young’s Modulus
title_short Analysis of Stress Concentration in Functionally Graded Plates with Linearly Increasing Young’s Modulus
title_sort analysis of stress concentration in functionally graded plates with linearly increasing young’s modulus
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10648393/
https://www.ncbi.nlm.nih.gov/pubmed/37959479
http://dx.doi.org/10.3390/ma16216882
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