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Exponential basis functions in the solution of laminated plates using a higher-order Zig-Zag theory

机译:使用高阶Zig-Zag理论的层合板解中的指数基函数

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The solution method presented in this paper is of Trefftz type which uses exponential basis functions (EBFs) to solve composite plate problems. Following its success in the solution of plates using well-known theories (Composite Struct 2011-,93:3112-9, 94:84-91 and 2012:94:2263-68), here we aim to apply the method to higher order shear deformation theories. In this paper we demonstrate the way that one can generally evaluate the EBFs for a laminated plate using a Zig-Zag theory. We present explicit relations for three-layer sandwich plates which have a wide range of applications in structural/mechanical engineering fields. The results of our numerical experiments on the bending analysis of composites with different boundary conditions and different configurations are provided and compared with those available in the literature. For further sudies we present some results for sandwich composite plates, including those with soft cores, as new benchmarks using the Zig-Zag theory.
机译:本文提出的求解方法是Trefftz类型,它使用指数基函数(EBF)解决复合板问题。在成功运用著名的理论(Composite Struct 2011-,93:3112-9,94:84-91和2012:94:2263-68)解决板的问题之后,我们打算将这种方法应用于更高阶剪切变形理论。在本文中,我们演示了一种使用Zig-Zag理论通常可以评估层压板的EBF的方法。我们提出了三层夹心板的明确关系,该夹心板在结构/机械工程领域具有广泛的应用。提供了我们对不同边界条件和不同构型的复合材料进行弯曲分析的数值实验结果,并将其与文献中的结果进行了比较。对于进一步的研究,我们使用Zig-Zag理论提出了三明治复合板的一些结果,包括具有软芯的复合板的新基准。

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