Study on the Explicit Formula of the Triangular Flat Shell Element Based on the Analytical Trial Functions for Anisotropy Material. (16th September 2013)

• Record Type: Journal Article
• Authors: Fu, Xiang-Rong; Ge, Li-Na; Tian, Ge; Yuan, Ming-Wu
• Other Names: Cen Song Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-09-16
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/486453
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper presents a novel way to formulate the triangular flat shell element. The basic analytical solutions of membrane and bending plate problem for anisotropy material are studied separately. Combining with the conforming displacement along the sides and hybrid element strategy, the triangular flat shell elements based on the analytical trial functions (ATF) for anisotropy material are formulated. By using the explicit integral formulae of the triangular element, the matrices used in proposed shell element are calculated efficiently. The benchmark examples showed the high accuracy and high efficiency.