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Title	Effect of geometric shape on two-dimensional finite elements
Creator/Author	Cook, W.A.
Publication Date	1981 Jan 01
OSTI Identifier	OSTI ID: 6328775
Report Number(s)	LA-UR-81-1575; CONF-810818-1
DOE Contract Number	W-7405-ENG-36
Resource Type	Conference
Specific Type	Technical Report
Resource Relation	Conference: 6. international seminar on computational aspects of the finite element method, Paris, France, 24 Aug 1981
Research Org	Los Alamos National Lab., NM (USA)
Subject	99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; STRESS ANALYSIS; COMPUTER CALCULATIONS; GEOMETRY; COMPUTERIZED SIMULATION; MATHEMATICAL MODELS; SHAPE; TWO-DIMENSIONAL CALCULATIONS; CONFIGURATION; MATHEMATICS; SIMULATION
Description/Abstract	Three quadrilateral elements are defined. These are an eight-nodal-point serendipity element (QUAD8s), a nine-nodal-point serendipity element (QUAD9s), and a nine-nodal-point quadrilateral element composed of two six-nodal-point triangular elements (QUAD9t). The effect that the geometric shape of the element has on the approximation function of each element is discussed. Two beam problems demonstrate that when the shape of the elements becomes skewed, the QUAD9t element significantly improves the calculated results. Finally, a recommendation is made for the QUAD8s and QUAD9t to be used together for the most efficient and accurate results.
Country of Publication	United States
Language	English
Format	Medium: ED; Size: Pages: 36
Availability	NTIS, PC A03/MF A01.
System Entry Date	2009 Apr 02
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