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A mixed isostatic 24 dof element for static and buckling analysis of laminated folded plates

机译：混合等静压24自由度元件，用于层压折板的静力和屈曲分析

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摘要

A mixed, quadrilateral, 3D plate element is proposed for static linear and buckling analysis of folded laminated composite structures. Numerical results show accuracy, comparing to analytical and numerical , and convergence rate h~2 measured using an s-norm. These characteristics are due to the self-equilibrated, isostatic state of stress in the element, and to the element kinematics leading to element compliance and compatibility matrix calculations based solely on the interpolation along the element edges. For folded plates, the drilling rotations do not require penalty functions or non-symmetric formulations, thus avoiding spurious energy modes. Buckling analysis is achieved by a corotational formulation, which is possible thanks to the accuracy of rotation approximations. Benchmarking for laminated composite plates includes convergence of displacements and stress-resultants, global error measures, and comparison with literature results.
机译：提出了一种混合的四边形3D板元件，用于折叠层压复合结构的静态线性和屈曲分析。数值结果表明了与分析和数值计算相比的准确性，并且使用s范数测量的收敛速度h〜2。这些特性是由于单元中应力的自平衡，等静状态，以及单元运动学导致仅基于沿单元边缘的插值进行单元柔量和兼容性矩阵计算。对于折板，钻孔旋转不需要罚函数或非对称公式，从而避免了杂散能量模式。屈曲分析是通过确定公式来实现的，这得益于旋转近似的准确性。层压复合板的基准测试包括位移和应力结果的收敛，整体误差测度以及与文献结果的比较。

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