A Novel Shape-Free Plane Quadratic Polygonal Hybrid Stress-Function Element. (19th May 2015)

• Record Type: Journal Article
• Authors: Zhou, Pei-Lei; Cen, Song
• Other Names: Hu Zhiqiang Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-05-19
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/491325
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : A novel plane quadratic shape-free hybrid stress-function (HS-F) polygonal element is developed by employing the principle of minimum complementary energy and the fundamental analytical solutions of the Airy stress function. Without construction of displacement interpolation function, the formulations of the new model are much simpler than those of the displacement-based polygonal elements and can be degenerated into triangular or quadrilateral elements directly. In particular, it is quite insensitive to various mesh distortions and even can keep precision when element shape is concave. Furthermore, the element does not show any spurious zero energy modes. Numerical examples show the excellent performance of the new element, denoted by HSF-AP-19 β, in both displacement and stress solutions.