Generation of Matrices of a Finite Element by its Code dncm

被引:0
作者
Dmitrochenko, Oleg [1 ]
Mikkola, Aki [1 ]
机构
[1] Lappeenranta Univ Technol, Lappeenranta 53850, Finland
来源
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷
关键词
finite element method; absolute nodal coordinates;
D O I
10.1063/1.3497928
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A numerical procedure of generating the matrices of any finite element by its digital nomenclature code dncm [1,2] is proposed. Digit d is the dimension, i.e. the number of arguments x,y, ... used in the interpolation polynomial Y(x, ...) of the element; n is the number of nodes of the element; c is the number of coordinates per node, or the number of derivatives of the field variable Y per node; m is the vectorization multiplier showing how many polynomials are interpolated simultaneously. The dncm code itself only specifies the interpolation polynomials of the finite element. The physical properties of the element should additionally be given by a variation functional which employs, e.g., strain energy. In most cases, the form of the functional can be also identified by dncm code.
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页码:1262 / 1265
页数:4
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