{"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":6.3000,"publicationDate":"2025-02-16","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":"","PubModel":"","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.
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.