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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 39
ADVANCES IN FINITE ELEMENT TECHNOLOGY
Edited by: B.H.V. Topping
Paper III.2

Universal Serendipity Elements with Unequally Spaced Edge Nodes

M. Utku

Department of Civil Engineering, Middle East Technical University, Ankara, Turkey

Full Bibliographic Reference for this paper
M. Utku, "Universal Serendipity Elements with Unequally Spaced Edge Nodes", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 189-193, 1996. doi:10.4203/ccp.39.3.2
Abstract
This paper describes the formulation of shape functions and Their derivatives for universal serendipity elements in finite element analysis which allows for flexibility in locating edge nodes. Universal serendipity elements are defined as isoparametric elements having linear, quadratic and cubic node configurations at their edges in an arbitrary manner. Edge nodes positioned at the same relative distance from corner nodes in both master element and physical element provide improved accuracy over nodes positioned locally without regard for the global configuration. The new formulation allows the user to change the older of elements in a very simple manner and also provides accurate solutions for nodal positions which are not allowed using the standard elements.

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