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Locking-free curved elements with refined kinematics for the analysis of composite structures

机译：具有精细运动学的免锁定弯曲元件，用于复合结构分析

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A new class of refined curved beam elements is proposed for the accurate stress analysis of composite structures. The element possesses three-dimensional capabilities and it is suited for the study of curved laminates and fiber-reinforced composites at the microscopic scale. The numerical issues associated with membrane and shear lockings are overcome by means of assumed interpolations of the strain components based on the mixed interpolation of tensorial components method (MITC). Higher-order expansions with only displacement unknowns are employed for the cross-section assumptions at the component level, enabling the computation of component-wise stress fields. For this purpose, a hierarchical set of Legendre functions is implemented, which allows the user to tune the kinematics of the element through the polynomial order input. The detrimental effects of locking in composite modeling are investigated and the robustness and efficiency of the beam element is assessed through comparison against solutions from the literature and refined solid models. (C) 2018 Elsevier B.V. All rights reserved.
机译：提出了一种新型的细化弯曲梁单元，用于复合结构的精确应力分析。该元件具有三维功能，非常适合在微观尺度上研究弯曲层压板和纤维增强复合材料。通过基于张量分量混合插值法（MITC）的假定应变分量插值，可以克服与膜和剪力锁相关的数值问题。在组件级别的横截面假设采用仅具有位移未知数的高阶展开，从而可以计算组件方向的应力场。为此，实现了Legendre函数的分层集，该集允许用户通过多项式阶次输入来调整元素的运动学。通过与文献中的解决方案和改进的实体模型进行比较，研究了复合模型中锁定的不利影响，并评估了梁单元的鲁棒性和效率。 （C）2018 Elsevier B.V.保留所有权利。

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