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A new inverse hyperbolic zigzag theory for the static analysis of laminated composite and sandwich plates

机译:一种新的反双曲曲折理论,用于层合板和夹层板的静力分析

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In the present work, a new Inverse Hyperbolic Zigzag Theory (IHZZT) is proposed for the analysis of laminated and sandwich plates. This theory considers an inverse hyperbolic function as shear strain shape function, which represents the non-linear distribution of in-plane displacement across the thickness as compared to a third order polynomial term in conventional theories. This model not only satisfies transverse shear stress traction free boundary conditions on the top and bottom surfaces of the plate, but also satisfies transverse shear stress continuity at the interface. The model is implemented with a computationally efficient C° finite element and applied to solve a number of sandwich plate static problems. Results are evaluated for the static analysis of laminated composite and sandwich plates. The results indicate that the present theory anticipates exemplary results for laminated and sandwich plates as compared to the existing theories.
机译:在目前的工作中,提出了一种新的反双曲曲折理论(IHZZT)来分析层压板和夹心板。该理论将反双曲函数视为剪切应变形状函数,与传统理论中的三阶多项式项相比,它表示了厚度方向上平面内位移的非线性分布。该模型不仅满足了板顶面和底面上的横向切应力牵引自由边界条件,而且还满足了界面处的横向切应力连续性。该模型由计算效率高的C°有限元实现,并用于解决许多夹心板的静态问题。对层压复合材料和夹心板的静态分析结果进行评估。结果表明,与现有理论相比,本理论预期层压板和夹心板的示例性结果。

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