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Viscoelastic behavior of Naghdi shell model based on efficient higher-order zig-zag theory

机译：基于高效高阶之字形理论的Naghdi壳模型的粘弹性行为

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This paper proposes a method based on efficient higher-order zig-zag theory to analyze the viscoelastic response of doubly-curved laminated shell structures. In the general curvilinear coordinates, displacement fields are obtained by imposing a varying cubic displacement field on a varying linear zig-zag field. Then, the transverse shear stress-free condition at the top and bottom surfaces and the continuity condition at the interfaces are employed to reduce the number of unknown variables. The Laplace transformation is then used to simplify the integral-formed constitutive equation for viscoelastic material in the real time domain into a linear system equation in the Laplace domain so that all computations can be carried out in the Laplace domain. Therefore, the equilibrium equation for general viscoelastic Naghdi shell model can be obtained by converting the virtual work principle into the Laplace domain. Finally, solutions for the long-term viscoelastic properties in the real-time domain are obtained by using numerical inverse Laplace techniques. To simplify the formulation and conveniently evaluate the method proposed in the present study and to compare its outcomes with those of an elastic laminated composite shell, several numerical examples for a cylindrical shallow shell model are investigated. (C) 2016 Elsevier Ltd. All rights reserved.
机译：本文提出了一种基于高效高阶之字形理论的方法来分析双曲层合壳结构的粘弹性响应。在一般的曲线坐标系中，通过将变化的三次位移场强加在变化的线性之字形场上来获得位移场。然后，利用顶面和底面处的无横向剪切应力的条件以及界面处的连续性条件来减少未知变量的数量。然后使用拉普拉斯变换将实时域中粘弹性材料的积分本构方程简化为拉普拉斯域中的线性系统方程，以便可以在拉普拉斯域中进行所有计算。因此，通过将虚拟功原理转换为拉普拉斯域，可以得到一般粘弹性纳吉壳模型的平衡方程。最后，通过使用数值拉普拉斯逆技术获得了实时域中长期粘弹性的解决方案。为了简化配方并方便地评估本研究中提出的方法，并将其结果与弹性层压复合材料壳的结果进行比较，研究了圆柱浅壳模型的几个数值示例。 （C）2016 Elsevier Ltd.保留所有权利。

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