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Post buckling analysis of laminated composite shells

机译：层压复合材料壳的屈曲后分析

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摘要

In the present investigation the geometrically nonlinear post buckling analysis of laminated composite doubly curved shells is presented using finite element method. The finite element model includes the general geometric nonlinearity due to large deflection. The present nonlinear strain displacement relations are expressed in the curvilinear coordinates. The material behaviour is, however, assumed to be linear and elastic. The principle of virtual work forms the basis to derive the nonlinear finite element equations. To solve the nonlinear finite element equations an incremental iterative technique based on the arc length method is employed. The present results are found to compare well with those available in the literature and are also able to capture both snap through and snap back post buckling behaviour. The nonlinear responses of three specially laminated spherical, cylindrical and conoidal shells are analyzed and the results are discussed.
机译：在本研究中，采用有限元方法对层合复合材料双曲壳的几何非线性后屈曲分析进行了介绍。有限元模型包括由于大挠度而引起的一般几何非线性。当前的非线性应变位移关系用曲线坐标表示。但是，假定材料的行为是线性的和弹性的。虚拟工作原理构成了推导非线性有限元方程的基础。为了求解非线性有限元方程，采用了基于弧长法的增量迭代技术。发现本发明的结果与文献中的结果很好地相比较，并且还能够捕捉快速屈曲行为和快速屈曲行为。分析了三种特殊层压的球形，圆柱形和圆锥形壳的非线性响应，并对结果进行了讨论。

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