{"title":"热机械载荷下变刚度复合材料板的失稳特性","authors":"Satyajeet Dash, Tanish Dey, Rajesh Kumar","doi":"10.1007/s00707-024-04154-z","DOIUrl":null,"url":null,"abstract":"<div><p>Variable stiffness laminated composite (VSLC) structures offer significant advantages for tailoring mechanical properties. However, their stability under non-uniform thermomechanical loadings, particularly for shell panels using semi-analytical approach, remains underexplored. Most research has focused on constant stiffness laminates, leaving a gap in understanding how varying fiber orientations affect VSLC buckling behavior. Thus, the present study develops a semi-analytical model to investigate the instability characteristics of VSLC plates and shallow cylindrical shell panels under non-uniform thermomechanical loads. Initially, the pre-buckling stress distributions within the panels are evaluated by minimizing the membrane strain energy. Subsequently, a displacement-based Ritz method is employed to obtain the matrix representation of the governing equations for instability problems. Finite element calculations are also conducted using ABAQUS to verify the obtained semi-analytical results. Additionally, the study examines the effects of fiber orientation, ply sequence, geometry, and boundary conditions, showing that fiber center angle significantly enhances buckling strength.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"631 - 654"},"PeriodicalIF":2.3000,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Instability characteristics of variable stiffness composite panels under thermomechanical loadings\",\"authors\":\"Satyajeet Dash, Tanish Dey, Rajesh Kumar\",\"doi\":\"10.1007/s00707-024-04154-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Variable stiffness laminated composite (VSLC) structures offer significant advantages for tailoring mechanical properties. However, their stability under non-uniform thermomechanical loadings, particularly for shell panels using semi-analytical approach, remains underexplored. Most research has focused on constant stiffness laminates, leaving a gap in understanding how varying fiber orientations affect VSLC buckling behavior. Thus, the present study develops a semi-analytical model to investigate the instability characteristics of VSLC plates and shallow cylindrical shell panels under non-uniform thermomechanical loads. Initially, the pre-buckling stress distributions within the panels are evaluated by minimizing the membrane strain energy. Subsequently, a displacement-based Ritz method is employed to obtain the matrix representation of the governing equations for instability problems. Finite element calculations are also conducted using ABAQUS to verify the obtained semi-analytical results. Additionally, the study examines the effects of fiber orientation, ply sequence, geometry, and boundary conditions, showing that fiber center angle significantly enhances buckling strength.</p></div>\",\"PeriodicalId\":456,\"journal\":{\"name\":\"Acta Mechanica\",\"volume\":\"236 2\",\"pages\":\"631 - 654\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2024-12-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mechanica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00707-024-04154-z\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-024-04154-z","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Instability characteristics of variable stiffness composite panels under thermomechanical loadings
Variable stiffness laminated composite (VSLC) structures offer significant advantages for tailoring mechanical properties. However, their stability under non-uniform thermomechanical loadings, particularly for shell panels using semi-analytical approach, remains underexplored. Most research has focused on constant stiffness laminates, leaving a gap in understanding how varying fiber orientations affect VSLC buckling behavior. Thus, the present study develops a semi-analytical model to investigate the instability characteristics of VSLC plates and shallow cylindrical shell panels under non-uniform thermomechanical loads. Initially, the pre-buckling stress distributions within the panels are evaluated by minimizing the membrane strain energy. Subsequently, a displacement-based Ritz method is employed to obtain the matrix representation of the governing equations for instability problems. Finite element calculations are also conducted using ABAQUS to verify the obtained semi-analytical results. Additionally, the study examines the effects of fiber orientation, ply sequence, geometry, and boundary conditions, showing that fiber center angle significantly enhances buckling strength.
期刊介绍:
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.