{"title":"基于平衡有限元公式的多裂纹非均匀FGM梁评估","authors":"H.A.F.A. Santos , V.V. Silberschmidt","doi":"10.1016/j.prostr.2024.11.070","DOIUrl":null,"url":null,"abstract":"<div><div>A novel, simple and effective finite element formulation is introduced for the quasi-static analysis of functionally graded nonuniform Timoshenko beams with multiple and open concentrated cracks. This formulation relies on a complementary variational approach based on a set of approximations that satisfy all equilibrium conditions of the boundary-value problem in a strong form. As a result, this formulation is naturally free from the well-known shear-locking phenomenon. The effectiveness of the formulation is numerically demonstrated through its application to various problems, with the obtained results analysed and discussed.</div></div>","PeriodicalId":20518,"journal":{"name":"Procedia Structural Integrity","volume":"66 ","pages":"Pages 195-204"},"PeriodicalIF":0.0000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Assessment of multi-cracked non-uniform FGM beams using an equilibrium-based finite element formulation\",\"authors\":\"H.A.F.A. Santos , V.V. Silberschmidt\",\"doi\":\"10.1016/j.prostr.2024.11.070\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A novel, simple and effective finite element formulation is introduced for the quasi-static analysis of functionally graded nonuniform Timoshenko beams with multiple and open concentrated cracks. This formulation relies on a complementary variational approach based on a set of approximations that satisfy all equilibrium conditions of the boundary-value problem in a strong form. As a result, this formulation is naturally free from the well-known shear-locking phenomenon. The effectiveness of the formulation is numerically demonstrated through its application to various problems, with the obtained results analysed and discussed.</div></div>\",\"PeriodicalId\":20518,\"journal\":{\"name\":\"Procedia Structural Integrity\",\"volume\":\"66 \",\"pages\":\"Pages 195-204\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Procedia Structural Integrity\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2452321624011247\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Procedia Structural Integrity","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2452321624011247","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Assessment of multi-cracked non-uniform FGM beams using an equilibrium-based finite element formulation
A novel, simple and effective finite element formulation is introduced for the quasi-static analysis of functionally graded nonuniform Timoshenko beams with multiple and open concentrated cracks. This formulation relies on a complementary variational approach based on a set of approximations that satisfy all equilibrium conditions of the boundary-value problem in a strong form. As a result, this formulation is naturally free from the well-known shear-locking phenomenon. The effectiveness of the formulation is numerically demonstrated through its application to various problems, with the obtained results analysed and discussed.
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