Abstract This study aims to model delaminations in laminated composite beams by using the PeriDynamic Differential Operator (PDDO) and Refined Zigzag Theory (RZT). A cohesive zone model is employed to monitor the delamination evolvement in laminated composite beams by embedding an interfacial resin layer between two potentially separable material layers. PDDO calculates the local derivatives in their nonlocal forms and produces highly accurate predictions for the solution of differential equations. RZT eliminates the consideration of shear correction factors and paves the way for modeling both thin and thick laminates. RZT enables computationally efficient analyses since it considers a constant number of kinematic variables regardless of the number of layers in the beam. The principle of virtual work is employed to derive the governing equations and boundary conditions of the RZT. The calculation of transverse normal and shear stresses at critical locations plays an important role in the delamination event. Therefore, this approach is promising for the delamination analysis of laminated composite beams. The present approach performs the nonlocal integration for the approximation of the local derivatives; hence, it reduces the undesirable localized stress peaks. It was demonstrated that the present approach successfully captured the deformation and stress fields as well as the delamination onset and evolvement of the laminated beams.

中文翻译：

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使用细化之字形理论对层压复合梁中的分层进行近场动力学建模

摘要 本研究旨在通过使用周动态微分算子 (PDDO) 和细化之字形理论 (RZT) 对层压复合梁中的分层进行建模。通过在两个可能可分离的材料层之间嵌入界面树脂层，采用内聚区模型来监测层压复合梁中的分层演变。PDDO 以非局部形式计算局部导数，并对微分方程的解产生高度准确的预测。RZT 消除了对剪切校正因子的考虑，并为模拟薄层和厚层铺平了道路。RZT 能够实现计算高效的分析，因为它考虑了恒定数量的运动学变量，而不管梁中的层数如何。利用虚功原理推导出 RZT 的控制方程和边界条件。关键位置的横向法向应力和剪切应力的计算在分层事件中起着重要作用。因此，该方法有望用于层合复合梁的分层分析。本方法对局部导数的近似执行非局部积分；因此，它减少了不需要的局部应力峰值。结果表明，本方法成功地捕获了层合梁的变形和应力场以及分层开始和演变。这种方法有望用于层合复合梁的分层分析。本方法对局部导数的近似执行非局部积分；因此，它减少了不需要的局部应力峰值。结果表明，本方法成功地捕获了层合梁的变形和应力场以及分层开始和演变。这种方法有望用于层合复合梁的分层分析。本方法对局部导数的近似执行非局部积分；因此，它减少了不需要的局部应力峰值。结果表明，本方法成功地捕获了层合梁的变形和应力场以及分层开始和演变。