Buckling problems of plates with interfaces caused by step changes in thickness, internal line supports and line hinges under uni-axial and bi-axial in-plane compressive loads are solved by using the matched interface and boundary (MIB) method. In view of buckling problems of plates, new MIB algorithms and their interpolation formulations are developed to deal with various interfaces. A number of examples are taken to examine the accuracy and convergence of the present algorithms. Numerical results are compared with the existing solutions to validate the applicability of these algorithms to the title problems. Numerical analysis shows that on the whole, MIB and its interpolation formulation are equivalent, and they are highly accurate and efficient approaches for buckling analysis of plates with various interfaces.

中文翻译：

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多界面板屈曲分析的界面匹配边界法开发

采用界面与边界匹配(MIB)方法解决了单轴和双轴面内压缩载荷下由厚度阶跃变化引起的具有界面的板、内线支撑和线铰的屈曲问题。针对板的屈曲问题，开发了新的MIB算法及其插值公式来处理各种接口。举了一些例子来检查当前算法的准确性和收敛性。将数值结果与现有解决方案进行比较，以验证这些算法对标题问题的适用性。数值分析表明，MIB及其插值公式总体上是等价的，是一种高精度、高效的多界面板屈曲分析方法。