A general integration scheme in quadrature element method. (July 2020)

• Record Type: Journal Article
• Authors: Wang, Xinwei; Yuan, Zhangxian; Jin, Chunhua
• Is Part Of: Applied mathematics letters. Volume 105(2020)
• Publication Date: 2020-07
• Subjects: Reduced integration -- Full integration -- Quadrature element method -- Differential quadrature law -- Explicit formulation; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106305
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: For the first time, a general integration scheme is proposed which can be employed in the development of quadrature elements with nodes of any type. With the proposed scheme, explicit formulations of quadrature elements with an arbitrary number of nodes can be derived indirectly via the differential quadrature law. Similar to the conventional finite element method, either reduced or full integration can be adopted in the explicit formulation by using the proposed scheme.