ON FINITE-ELEMENT IMPLEMENTATION OF GEOMETRICALLY NONLINEAR REISSNER BEAM THEORY - 3-DIMENSIONAL CURVED BEAM ELEMENTS
ON FINITE-ELEMENT IMPLEMENTATION OF GEOMETRICALLY NONLINEAR REISSNER BEAM THEORY - 3-DIMENSIONAL CURVED BEAM ELEMENTS
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DOI：
10.1016/0045-7825(95)00724-f
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发表时间：
1995-04-01
影响因子：
7.2
通讯作者：
IBRAHIMBEGOVIC, A
中科院分区：
文献类型：
--
作者：
IBRAHIMBEGOVIC, A
本文研究了Reissner三维有限应变梁理论的有限元实现。与以往的一些工作不同，本文讨论的是以任意空间曲线为参照轴的梁单元。我们已经证明，改进的曲线参考几何表示显著提高了结果的精度。然而，这也使得非锁定有限元内插的选择变得更加微妙。文中提出的分层位移插值法能够同时消除剪切和膜锁定现象。对于非线性弹性静力学中的一组问题，证明了非常令人满意的不锁定性能。
Finite element implementation of the three-dimensional finite-strain beam theory of Reissner is considered in this work. In contrast with some earlier works on the subject, discussed here are the beam elements whose reference axes are arbitrary space-curved lines. We have shown that an improved representation of curved reference geometry significantly increases the accuracy of the results. However, it also makes the choice of non-locking finite element interpolations somewhat more delicate. A hierarchical displacement interpolation proposed here is proved to be capable of eliminating both shear and membrane locking phenomena. A very satisfying non-locking performance is demonstrated for a set of problems in nonlinear elasto-statics.