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Improvement on the l0-node tetrahedral element for three-dimensional problems

机译:l0节点四面体单元对三维问题的改进

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摘要

By decomposing the strain part of the conforming l0-node tetrahedral element Tl0 and relaxing the compatibility condition for the constant strain term, the performance of the element can be improved. By introducing the incompressible condition in the high order strain term, the element can be made very efficient for the analysis of the nearly incompressible problem. Numerical results show that the modified element, in general, has better accuracy and reliability compared to the classical displacement-based tetrahedral element Tl0 for a wide range of structural problems, including the analysis of thin and slender structures.
机译:通过分解相符的10节点四面体元件Tl0的应变部分并放松对于恒定应变项的相容条件,可以改善元件的性能。通过在高阶应变项中引入不可压缩条件,可以使该元件非常有效地用于分析几乎不可压缩的问题。数值结果表明,与传统的基于位移的四面体单元Tl0相比,改进后的单元通常具有更好的精度和可靠性,可解决各种结构问题,包括分析薄而细长的结构。

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