COORDINATE-FREE ISOPARAMETRIC ELEMENTS

被引:8
作者
MILLER, GR
机构
[1] Department of Civil Engineering, University of Washington, Seattle, WA 98195
关键词
Algorithms - Data structures - Geometry - Iterative methods - Nonlinear equations - Tensors - Vectors;
D O I
10.1016/0045-7949(93)90014-5
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Formulations for general solid elements are presented which do not rely explicitly on an arbitrary global coordinate system, and which are independent of the dimension of the embedding space. Abstract data types corresponding to points, vectors and tensors replace matrix representations, allowing the coordinate-free nature of the derivation to be carried over into the implementation. The formulations are oriented primarily toward applications involving general geometric and material nonlinearities, iterative solution algorithms and element-by-element implementations, but traditional linear applications are considered as well.
引用
收藏
页码:1027 / 1035
页数:9
相关论文
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