Buckling of rectangular Mindlin plates subjected to partial in-plane edge loads using the radial point interpolation method
Buckling of rectangular Mindlin plates subjected to partial in-plane edge loads using the radial point interpolation method
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DOI：
10.1016/j.ijsolstr.2003.10.022
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发表时间：
2004-03
影响因子：
3.6
通讯作者：
K. Liew;X. L. Chen
中科院分区：
文献类型：
--
作者：
K. Liew;X. L. Chen
本文研究了矩形Mindlin板在面内部分分布载荷作用下的弹性屈曲问题。提出了一种基于径向点插值法（RPIM）的数值算法求解此类板。屈曲前的应力首先使用基于二维（2-D）弹性平面应力问题的RPIM确定。然后，通过基于Mindlin板理论的RPIM计算包含这些预定的屈曲前应力的矩形板的屈曲载荷强度因子。给出了不同边界条件下板在不同面内部分分布载荷作用下的数值算例。研究了屈曲载荷的剪切闭锁。结果表明，所提出的RPIM的高精度。
This paper considers the elastic buckling of rectangular Mindlin plates that are subjected to partially distributed in-plane edge loadings. A numerical algorithm based on the radial point interpolation method (RPIM) is proposed for the solution of such plates. The pre-buckling stresses are first determined using the RPIM based on a two-dimensional (2-D) elastic plane stress problem. The buckling load intensity factors for rectangular plates that incorporate these predetermined pre-buckling stresses are then computed via the RPIM based on the Mindlin plate theory. Numerical examples of the plates with various boundaries and subjected to different partially distributed in-plane edge loadings are presented. Shear-locking of the buckling load is studied. The results demonstrate the high accuracy of the proposed RPIM.