Hierarchical theories of structures based on Legendre polynomial expansions with finite element applications

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• 作者：E. Carrera ; ^{erasmo.carrera@polito.it} ; A.G. de Miguel ^{alberto.garcia@polito.it} ; A. Pagani ^{alfonso.pagani@polito.it}
• 关键词：Refined beam theories ; Refined plate theories ; Finite elements ; Carrera unified formulation ; Hierarchical Legendre expansion ; Thin-walled beam
• 刊名：International Journal of Mechanical Sciences
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：120
• 期：Complete
• 页码：286-300
• 全文大小：1296 K
• 卷排序：120

文摘

Advanced 1D and 2D structural theories based on Legendre polynomial expansions are discussed. The unified formulation of theories of structures and variational principles are employed. The finite element arrays of arbitrarily refined elements are written in a general, compact form. The present finite elements allow analysts to refine the structural in a straightforward manner. A number of benchmark results are given.