ISBN: Ostalo
Godina izdanja: 1992
Autor: Domaći
Jezik: Engleski
Oblast: Matematika

61275) GROUP SUPERMATRICES IN FINITE ELEMENT ANALYSIS , George Zlokovic , Ellis Horwood Series in Civil Engineering 1992 , This monograph attempts to define and develop group supermatrices in various ways through theoretical formulations. The author demonstrates that these formulations are especially appropriate when deriving stiffness matrices and equations by the finite element method.
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Table of contents
Preface
Introduction
1 Results of groups, vector spaces and representation theory
1.1 Introduction
1.2 Groups
1.3 Vector spaces.
1.4 Representation theory
2 G-vector analysis
2.1 Nodal configurations with patterns based on the square
2.2 Nodal configuration with a pattern based on the cube

2.3 Nodal configuration with a pattern based on the right parallelepiped
2.4 Nodal configurations with patterns based on the regular icosahedron
2.5 Algorithmic scheme of G-vector analysis
3 Group supermatrix transformations
3.1 Definition of group supermatrices and formulation of their relations
3.2 Group supermatrices of the group C_{2} 3.3 Group supermatrices of the group C_{3}
3.4 Group supermatrices of the group C_{4}
3.5 Group supermatrices of the group C_{2v}
3.6 Group supermatrices of the group C_{3v}
3.7 Group supermatrices of the group C_{4p}
3.8 Group supermatrices of the group D_{2h}
4 Formulation of shape functions in G-invariant subspaces
4.1 Group supermatrix procedure for derivation of element shape functions in G-invariant subspaces....
4.2 Four-node rectangular element
4.3 Eight-node rectangular element
4.4 Twelve-node rectangular element
4.5 Sixteen-node rectangular element
4.6 Eight-node rectangular hexahedral element
4.7 Twenty-node rectangular hexahedral element
4.8 Thirty-two-node rectangular hexahedral element
4.9 Sixty-four-node rectangular hexahedral element
5 Stiffness equations in G-invariant subspaces
5.1 Group supermatrix procedure for derivation of stiffness equations in G-invariant subspaces
5.2 Stiffness equations in G-invariant subspaces for one-dimensional elements
5.3 Stiffness equations in G-invariant subspaces for the beam element
5.4 Stiffness equations in G-invariant subspaces for the rectangular element for planar analysis
5.5 Stiffness equations in G-invariant subspaces for the rectangular element for plate flexure
6 Group supermatrices in formulation and assembly of stiffness equations
6.1 Group supermatrix procedure in the direct stiffness method
6.2 Linear beam element assembly
6.3 Girder grillage
Appendix - Character tables
Bibliography
Index
format 17,5 x 24 cm , engleski jezik , ilustrovano, 378 strana, potpis i posveta autora na predlistu