An Equivalent Homogenization Theoretical Method for Composite Sandwich Cylinders Subjected to Pure Bending

An equivalent theoretical homogenization method was proposed for composite sandwich cylinders subjected to pure bending. Firstly, based on a homogeneous orthotropic layer hypothesis, the trapezoidal corrugated sandwich core was found to be equivalent in a homogenization orthotropic layer with the ni...

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Autores principales:	Yang Liu, Fuwei Gu, Mingxuan Li, Xiaofeng Lu, Xiaolei Zhu
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	equivalent homogenization method sandwich cylinder specified bending stiffness specified bending strength pure bending Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/a85f678ff3e14b8fb1be18ac412d2dea
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spelling	oai:doaj.org-article:a85f678ff3e14b8fb1be18ac412d2dea2021-11-25T19:07:46ZAn Equivalent Homogenization Theoretical Method for Composite Sandwich Cylinders Subjected to Pure Bending10.3390/sym131122252073-8994https://doaj.org/article/a85f678ff3e14b8fb1be18ac412d2dea2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2225https://doaj.org/toc/2073-8994An equivalent theoretical homogenization method was proposed for composite sandwich cylinders subjected to pure bending. Firstly, based on a homogeneous orthotropic layer hypothesis, the trapezoidal corrugated sandwich core was found to be equivalent in a homogenization orthotropic layer with the nine equivalent mechanical properties. Then, Lekhnitskii’s theory, based on a unified connection parameter method, was introduced and applied in the equivalent composite sandwich cylinder. The method developed by Lekhnitskii is suitable for arbitrary combinations of winding layers with different winding angles and materials. Additionally, the bending stiffness of the equivalent sandwich cylinder could be calculated. By developing user subroutine of UMAT, the numerical calculation results were in a good agreement with the results of the proposed method. Further, according to the Hill–Tsai strength criterion and the maximum strain criterion, parametric study was done for specified bending stiffness and specified bending strength. The results show that the influence of core parameters on the specified bending stiffness and strength are lower than that of the skin parameters. Additionally, larger skin thickness and smaller winding angles could improve the specified bending stiffness and specified bending strength of the composite corrugated sandwich cylinders.Yang LiuFuwei GuMingxuan LiXiaofeng LuXiaolei ZhuMDPI AGarticleequivalent homogenization methodsandwich cylinderspecified bending stiffnessspecified bending strengthpure bendingMathematicsQA1-939ENSymmetry, Vol 13, Iss 2225, p 2225 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	equivalent homogenization method sandwich cylinder specified bending stiffness specified bending strength pure bending Mathematics QA1-939
spellingShingle	equivalent homogenization method sandwich cylinder specified bending stiffness specified bending strength pure bending Mathematics QA1-939 Yang Liu Fuwei Gu Mingxuan Li Xiaofeng Lu Xiaolei Zhu An Equivalent Homogenization Theoretical Method for Composite Sandwich Cylinders Subjected to Pure Bending
description	An equivalent theoretical homogenization method was proposed for composite sandwich cylinders subjected to pure bending. Firstly, based on a homogeneous orthotropic layer hypothesis, the trapezoidal corrugated sandwich core was found to be equivalent in a homogenization orthotropic layer with the nine equivalent mechanical properties. Then, Lekhnitskii’s theory, based on a unified connection parameter method, was introduced and applied in the equivalent composite sandwich cylinder. The method developed by Lekhnitskii is suitable for arbitrary combinations of winding layers with different winding angles and materials. Additionally, the bending stiffness of the equivalent sandwich cylinder could be calculated. By developing user subroutine of UMAT, the numerical calculation results were in a good agreement with the results of the proposed method. Further, according to the Hill–Tsai strength criterion and the maximum strain criterion, parametric study was done for specified bending stiffness and specified bending strength. The results show that the influence of core parameters on the specified bending stiffness and strength are lower than that of the skin parameters. Additionally, larger skin thickness and smaller winding angles could improve the specified bending stiffness and specified bending strength of the composite corrugated sandwich cylinders.
format	article
author	Yang Liu Fuwei Gu Mingxuan Li Xiaofeng Lu Xiaolei Zhu
author_facet	Yang Liu Fuwei Gu Mingxuan Li Xiaofeng Lu Xiaolei Zhu
author_sort	Yang Liu
title	An Equivalent Homogenization Theoretical Method for Composite Sandwich Cylinders Subjected to Pure Bending
title_short	An Equivalent Homogenization Theoretical Method for Composite Sandwich Cylinders Subjected to Pure Bending
title_full	An Equivalent Homogenization Theoretical Method for Composite Sandwich Cylinders Subjected to Pure Bending
title_fullStr	An Equivalent Homogenization Theoretical Method for Composite Sandwich Cylinders Subjected to Pure Bending
title_full_unstemmed	An Equivalent Homogenization Theoretical Method for Composite Sandwich Cylinders Subjected to Pure Bending
title_sort	equivalent homogenization theoretical method for composite sandwich cylinders subjected to pure bending
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/a85f678ff3e14b8fb1be18ac412d2dea
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An Equivalent Homogenization Theoretical Method for Composite Sandwich Cylinders Subjected to Pure Bending

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