利用mitc3 +单元对基于kriging有限元的板分析进行了改进

Sebastian Sebastian, Wong Foek Tjong
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引用次数: 0

摘要

采用MITC3+板单元对板结构进行建模,发展了基于kriging的有限元方法。所使用的MITC3+单元是对MITC3单元的改进,其性能被认为相当好,可以克服传统基于kriging的有限元应用中出现的问题,其中之一是剪切锁定。Kriging插值在MITC3+单元上的应用仅采用弯曲刚度矩阵中Kriging形状函数的形式。然后对元件进行各种基准问题的测试,如贴片测试,硬夹方形板,菱形板,以及其解决复杂形状板的能力。结果表明,MITC3+能够避免剪切锁定机制,并产生准确的解决方案。然而,在斑片测试和菱形板上似乎存在不一致的收敛模式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
AN ENHANCEMENT OF KRIGING BASED FINITE ELEMENT FOR PLATE ANALYSIS BY USING MITC3+ ELEMENT
A development of Kriging-based finite elements method has been carried out by implementing the MITC3+ plate elements for modeling the plate structure. The MITC3+ element used is a development of the MITC3 element whose performance is considered quite good and can overcome problems that arise in the application of conventional Kriging-based finite elements, one of which is the shear-locking. The application of Kriging interpolation on MITC3+ elements is carried out with the Kriging shape function formulation in the formation of the bending stiffness matrix only. The elements are then tested with various benchmark problems such as Patch Test, hard clamped square plate, Rhombic Plate, and its ability to solve complex-shaped plates. The results showed that the MITC3+ was able to avoid the shear-locking mechanism and also produce an accurate solution. However, it appears there is an inconsistent convergence pattern on the Patch Test and Rhombic Plate.
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