ESL Based Cylindrical Shell Elements with Hierarchical Shape Functions for Laminated Composite Shells. (4th March 2015)

• Record Type: Journal Article
• Authors: Ahn, Jae S.; Yang, Seung H.; Woo, Kwang S.
• Other Names: Quinn Dane Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-03-04
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/676181
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : We introduce higher-order cylindrical shell element based on ESL (equivalent single-layer) theory for the analysis of laminated composite shells. The proposed elements are formulated by the dimensional reduction technique from three-dimensional solid to two-dimensional cylindrical surface with plane stress assumption. It allows the first-order shear deformation and considers anisotropic materials due to fiber orientation. The element displacement approximation is established by the integrals of Legendre polynomials with hierarchical concept to ensure theC 0 -continuity at the interface between adjacent elements as well asC 1 -continuity at the interface between adjacent layers. For geometry mapping, cylindrical coordinate is adopted to implement the exact mapping of curved shell configuration with a constant curvature with respect to any direction in the plane. The verification and characteristics of the proposed element are investigated through the analyses of three cylindrical shell problems with different shapes, loadings, and boundary conditions.