{"title":"Local refinement for the modeling of composite beam based on the partition of the unity method","authors":"P. Vidal, L. Gallimard, O. Polit","doi":"10.1016/j.finel.2023.104100","DOIUrl":null,"url":null,"abstract":"<div><p><span>In this work, a refined model is superimposed on a simple one only in a region of interest to improve the accuracy of the modeling of composite beam structures. The purpose is to concentrate the computational effort in a localized zone without loss of local precision. Outside the region of interest is modelized using a simple cheap model. The present approach is based on the Partition Unity Method (PUM) to ensure the continuity condition on the displacement field. Two refined models based on the Sinus model are used to demonstrate the capability of the method. Each of the kinematics needs a suitable Finite Element (FE) </span>approximation<span>. The method is assessed on numerical examples involving both homogeneous and laminated beams. The results are compared with reference solutions and computations using a mono-model. The computational cost is also evaluated to show the interest of the method. The results are very promising.</span></p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":null,"pages":null},"PeriodicalIF":3.5000,"publicationDate":"2023-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Finite Elements in Analysis and Design","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0168874X23001932","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, a refined model is superimposed on a simple one only in a region of interest to improve the accuracy of the modeling of composite beam structures. The purpose is to concentrate the computational effort in a localized zone without loss of local precision. Outside the region of interest is modelized using a simple cheap model. The present approach is based on the Partition Unity Method (PUM) to ensure the continuity condition on the displacement field. Two refined models based on the Sinus model are used to demonstrate the capability of the method. Each of the kinematics needs a suitable Finite Element (FE) approximation. The method is assessed on numerical examples involving both homogeneous and laminated beams. The results are compared with reference solutions and computations using a mono-model. The computational cost is also evaluated to show the interest of the method. The results are very promising.
期刊介绍：
The aim of this journal is to provide ideas and information involving the use of the finite element method and its variants, both in scientific inquiry and in professional practice. The scope is intentionally broad, encompassing use of the finite element method in engineering as well as the pure and applied sciences. The emphasis of the journal will be the development and use of numerical procedures to solve practical problems, although contributions relating to the mathematical and theoretical foundations and computer implementation of numerical methods are likewise welcomed. Review articles presenting unbiased and comprehensive reviews of state-of-the-art topics will also be accommodated.
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