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On definition of clamped conditions in TSDT and FSDT: The use of exponential basis functions in solution of laminated composites

机译:关于TSDT和FSDT中的夹紧条件的定义:指数基函数在层状复合材料解决方案中的使用

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In this paper we shall first show that unlike the FSDT, the boundary conditions quoted in many references for clamped boundaries for the TSDT result in an inaccurate shear stress distribution. We then propose a new set of boundary conditions for clamed boundary condition when using TSDT. For the solution method we use a meshfree method introduced previously (Compos. Struct. 2011;93:3112-9 and 94:84-91) for bending analysis of laminated composite plates. The method provides the flexibility of applying various boundary conditions which may not be satisfied straightforwardly by other numerical methods such as finite element method. Some benchmark problems are solved to support our discussion. The issue may be found useful for those who aim at using other theories such as Zig-Zag theory.
机译:在本文中,我们将首先表明,与FSDT不同,在许多参考文献中引用的TSDT夹紧边界的边界条件会导致剪切应力分布不准确。然后,当使用TSDT时,我们为贴合边界条件提出了一组新的边界条件。对于求解方法,我们使用先前介绍的无网格方法(Compos。Struct。2011; 93:3112-9和94:84-91)进行层压复合板的弯曲分析。该方法提供了应用各种边界条件的灵活性,这些边界条件是其他数值方法(例如有限元方法)无法直接满足的。解决了一些基准问题以支持我们的讨论。对于那些希望使用其他理论(例如Zig-Zag理论)的人来说,此问题可能会有用。

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