Static analysis of FGM plates using a general higher-order shear deformation theory

IF 7.1 2区材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Composite Structures Pub Date : 2025-03-01 Epub Date: 2025-02-16 DOI:10.1016/j.compstruct.2025.118944

Abdullah Müsevitoğlu , Atilla Özütok , J.N. Reddy

{"title":"Static analysis of FGM plates using a general higher-order shear deformation theory","authors":"Abdullah Müsevitoğlu , Atilla Özütok , J.N. Reddy","doi":"10.1016/j.compstruct.2025.118944","DOIUrl":null,"url":null,"abstract":"<div><div>In Functionally Graded Materials (FGMs) material properties vary continuously through the thickness, avoiding any material mismatch. Cracking and delamination are common problems in laminated composite materials, primarily due to material discontinuities between layers, and FGM plates overcome this drawback. The present study focuses on the static analysis of FGM plates using a general High-Order Shear Deformation Theory. The governing equations are derived using the principle of virtual displacements. The Gâteaux differential approach was employed to reformulate the governing equations to construct the mixed finite element model of the FGM plates. The behavior of FGM plates under sinusoidal and uniform loading, with simply supported and clamped boundary conditions was investigated. The results for the displacement, force, and moment components were examined based on multiple different thickness functions (f(z)). The obtained results were compared with those from different theories in the literature, and it was found that the results are consistent and accurate.</div></div>","PeriodicalId":281,"journal":{"name":"Composite Structures","volume":"358 ","pages":"Article 118944"},"PeriodicalIF":7.1000,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Composite Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0263822325001096","RegionNum":2,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/2/16 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATERIALS SCIENCE, COMPOSITES","Score":null,"Total":0}

引用次数: 0

Abstract

In Functionally Graded Materials (FGMs) material properties vary continuously through the thickness, avoiding any material mismatch. Cracking and delamination are common problems in laminated composite materials, primarily due to material discontinuities between layers, and FGM plates overcome this drawback. The present study focuses on the static analysis of FGM plates using a general High-Order Shear Deformation Theory. The governing equations are derived using the principle of virtual displacements. The Gâteaux differential approach was employed to reformulate the governing equations to construct the mixed finite element model of the FGM plates. The behavior of FGM plates under sinusoidal and uniform loading, with simply supported and clamped boundary conditions was investigated. The results for the displacement, force, and moment components were examined based on multiple different thickness functions (f(z)). The obtained results were compared with those from different theories in the literature, and it was found that the results are consistent and accurate.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

基于一般高阶剪切变形理论的FGM板静力分析

在功能梯度材料（fgm）中，材料性能随厚度连续变化，避免任何材料不匹配。开裂和分层是层压复合材料的常见问题，主要是由于层之间的材料不连续，而FGM板克服了这一缺点。本文采用一般的高阶剪切变形理论对FGM板进行静力分析。利用虚位移原理推导了控制方程。采用gastteaux微分法重新构造控制方程，建立了FGM板的混合有限元模型。研究了FGM板在正弦和均匀载荷、简支和固支边界条件下的性能。基于多个不同的厚度函数（f(z)）对位移、力和力矩分量的结果进行了检验。将所得结果与文献中不同理论的结果进行比较，发现所得结果是一致和准确的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Composite Structures 工程技术-材料科学：复合

CiteScore

12.00

自引率

12.70%

发文量

1246

审稿时长

78 days

期刊介绍： The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.