Bui Tien Tu, Dang Thuy Dong, Vu Minh Duc, Vu Hoai Nam
{"title":"使用里兹能量法计算具有非线性弹性地基效应的多孔 FGM 浅球形盖帽和圆形板的非线性屈曲和屈曲后响应","authors":"Bui Tien Tu, Dang Thuy Dong, Vu Minh Duc, Vu Hoai Nam","doi":"10.1007/s11029-024-10200-7","DOIUrl":null,"url":null,"abstract":"<p>A new analytical study for nonlinear buckling and postbuckling behavior of porous functionally graded material (FGM) circular plates and shallow spherical caps resting on nonlinear elastic foundation was carried put using the nonlinear Reddy’s higher-order shear deformation theory (HSDT). The spherical caps/circular plates under thermo-mechanical loadings were considered, and the nonlinear elastic foundation was used to model the behavior of hardening and softening foundations. The total potential energy expressions of caps/plates were established, and the Ritz energy method was applied. The analytical expressions of load-deflection relationships were obtained. The critical buckling loads and postbuckling behavior of shells/plates were determined and analyzed. The remarkable influences of geometrical parameters, material parameters, and nonlinear foundation stiffnesses on the nonlinear static stability behavior of caps and circular plates were noted.</p>","PeriodicalId":18308,"journal":{"name":"Mechanics of Composite Materials","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlinear Buckling and Postbuckling Response of Porous FGM Shallow Spherical Caps and Circular Plates with Nonlinear Elastic Foundation Effects Using the Ritz Energy Method\",\"authors\":\"Bui Tien Tu, Dang Thuy Dong, Vu Minh Duc, Vu Hoai Nam\",\"doi\":\"10.1007/s11029-024-10200-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A new analytical study for nonlinear buckling and postbuckling behavior of porous functionally graded material (FGM) circular plates and shallow spherical caps resting on nonlinear elastic foundation was carried put using the nonlinear Reddy’s higher-order shear deformation theory (HSDT). The spherical caps/circular plates under thermo-mechanical loadings were considered, and the nonlinear elastic foundation was used to model the behavior of hardening and softening foundations. The total potential energy expressions of caps/plates were established, and the Ritz energy method was applied. The analytical expressions of load-deflection relationships were obtained. The critical buckling loads and postbuckling behavior of shells/plates were determined and analyzed. The remarkable influences of geometrical parameters, material parameters, and nonlinear foundation stiffnesses on the nonlinear static stability behavior of caps and circular plates were noted.</p>\",\"PeriodicalId\":18308,\"journal\":{\"name\":\"Mechanics of Composite Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics of Composite Materials\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://doi.org/10.1007/s11029-024-10200-7\",\"RegionNum\":4,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATERIALS SCIENCE, COMPOSITES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Composite Materials","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1007/s11029-024-10200-7","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, COMPOSITES","Score":null,"Total":0}
Nonlinear Buckling and Postbuckling Response of Porous FGM Shallow Spherical Caps and Circular Plates with Nonlinear Elastic Foundation Effects Using the Ritz Energy Method
A new analytical study for nonlinear buckling and postbuckling behavior of porous functionally graded material (FGM) circular plates and shallow spherical caps resting on nonlinear elastic foundation was carried put using the nonlinear Reddy’s higher-order shear deformation theory (HSDT). The spherical caps/circular plates under thermo-mechanical loadings were considered, and the nonlinear elastic foundation was used to model the behavior of hardening and softening foundations. The total potential energy expressions of caps/plates were established, and the Ritz energy method was applied. The analytical expressions of load-deflection relationships were obtained. The critical buckling loads and postbuckling behavior of shells/plates were determined and analyzed. The remarkable influences of geometrical parameters, material parameters, and nonlinear foundation stiffnesses on the nonlinear static stability behavior of caps and circular plates were noted.
期刊介绍：
Mechanics of Composite Materials is a peer-reviewed international journal that encourages publication of original experimental and theoretical research on the mechanical properties of composite materials and their constituents including, but not limited to:
damage, failure, fatigue, and long-term strength;
methods of optimum design of materials and structures;
prediction of long-term properties and aging problems;
nondestructive testing;
mechanical aspects of technology;
mechanics of nanocomposites;
mechanics of biocomposites;
composites in aerospace and wind-power engineering;
composites in civil engineering and infrastructure
and other composites applications.
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