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为通过强式分片试验,NQ6单元对Q6单元的非协调内部形函数进行了线性修正,但抗畸变性能下降了.论文提出对线性修正项进行反向调整以恢复甚至提高抗畸变性能.调整过程是把线性修正项看成影响单元性能的一维方向,进行反向搜索确定有利的计算步长.进行了典型算例测试,结果表明反向调整是有效的,调整系数取镜像值-1以及扩展到-2时新单元的畸变敏感性优于原Q6、NQ6,特别地在-2附近可有效消除剪切闭锁;除弱式分片试验外,总体性能和精度达到或接近各类4节点四边形单元的最好水平.
In order to improve the anti-distortion performance of NQ6 unit, the NQ6 unit linearly modifies the nonconforming internal shape function of Q6 unit, but the anti-distortion performance is reduced.This paper proposes to reverse adjust the linear correction term to restore or even improve the anti-distortion performance. The process considers the linear correction term as the one-dimensional direction that affects the performance of the unit and conducts the reverse search to determine the favorable calculation step.The typical example test shows that the reverse adjustment is effective and the adjustment factor takes the image value -1 And the distortion sensitivity of the new unit when extended to -2 is better than that of the original Q6 and NQ6, especially in the vicinity of -2, which can effectively eliminate the clipping and blocking. Except for the fragmented slice test, the overall performance and precision reach or approach various types 4 Node quadrilateral unit of the best level.