A NEW BOUNDARY-TYPE FINITE-ELEMENT FOR 2-D-ELASTIC AND 3-D-ELASTIC STRUCTURES

被引:12
作者
PETERS, K
STEIN, E
WAGNER, W
机构
[1] Institut für Baumechanik und Numerische Mechanik, Universität Hannover, Hannover, D-3000
关键词
D O I
10.1002/nme.1620370608
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper we discuss the theoretical and numerical formulation of 3-D Trefftz elements, Starting from the variational principle with the so-called hybrid stress method, the trial functions for the stresses have to fulfil the Beltrami equations, which means also the compatibility equations for the strains. The divergence theorem can be applied, and one arrives at a pure boundary formulation in the sense of the Trefftz method. Besides the resulting variational formulation, different regularizations of the interelement conditions are investigated by numerical tests. Two examples show the numerical efficiency of the derived elements. First, a geometric linear 3-D example is presented to show the effects on distorted element meshes. The third example shows the geometrically non-linear analysis of a shallow cylindrical shell segment under a single load.
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收藏
页码:1009 / 1025
页数:17
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