完全无闭锁的厚板矩形单元

本文提出将已有的优质薄板矩形单元扩展为无闭锁现象的厚薄板通用的优质单元的一般方法。对于薄板极限情况,这种厚薄板通用单元自动退化为原来的薄板单元,彻底地消除了剪切闭锁现象。应用此法构造出两种厚薄板通用矩形单元LFR1和LFR2。这些单元的自由度少,只含常规的角点挠度和转角,推导方法简易,并具有一般性,能够通过分片检验。数值算例表明这些单元对薄、厚板都具有很高的精度,适用于实际工程计算。

LOCKING-FREE THICK PLATE RECTANGULAR ELEMENT

In this paper, a universal method building the 12 d. o. f. rectangular element suitable for analysing both thin and thick plates is derived. When the plate thickness approaches to the limit of thin plates, the element degenerates to the thin plate element auto-matically, so that the shear locking will not appear. By using this method, two 12 d. o. f. locking-free thick plate rectangular elements (LFR1 and LFR2) are constructed. Numerical results show that LFRl and LFR2 elements have the advantages of high accuracy, good convergence, stability and passing Irons' patch test.