Abstract This study investigates elastic flexural behavior of adhesively bonded similar and dissimilar beams using Refined Zigzag Theory (RZT) and Peridynamic Differential Operator (PDDO). PDDO replaces local differentiation with nonlocal integration. This makes the PDDO capable of solving the local differential equations accurately. RZT is suitable for both thin and thick beams eliminating the use of the shear correction factors. Three joint configurations were considered such as adhesively bonded aluminum-aluminum (Al–Al), aluminum-steel (Al-St), and steel-steel (St-St) joints. The governing equations of RZT beam and boundary conditions were derived by employing the principle of virtual work. The capability of the present approach was assessed by considering dissimilar bonded Al-St beam under uniformly distributed sinusoidal load. It achieved robust and accurate predictions for the displacement and stress components for bonded Al-St beam. Each component of the adhesively bonded beams exhibited different stress and deformation states. As the bonded beam becomes stiffer due to a stiffer (St) upper adherend, the bonded St–St and Al–St beams experienced lower deflection than those in the bonded Al–Al beam.

中文翻译：

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使用精制之字形理论和近场动力学微分算子对粘合相似和不同梁进行弹性弯曲分析

摘要 本研究使用细化之字形理论 (RZT) 和近场动力学微分算子 (PDDO) 研究粘合相似和不同梁的弹性弯曲行为。PDDO 用非局部整合取代局部分化。这使得 PDDO 能够准确地求解局部微分方程。RZT 适用于薄梁和厚梁，无需使用剪切修正系数。考虑了三种接头配置，例如粘合铝-铝 (Al-Al)、铝-钢 (Al-St) 和钢-钢 (St-St) 接头。利用虚功原理推导出RZT梁的控制方程和边界条件。本方法的能力是通过考虑在均匀分布的正弦载荷下不同的结合 Al-St 梁来评估的。它实现了对结合 Al-St 梁的位移和应力分量的稳健和准确的预测。粘合梁的每个组件表现出不同的应力和变形状态。由于粘合梁由于更硬的 (St) 上粘附体而变得更硬，因此粘合 St-St 和 Al-St 梁的挠度低于粘合 Al-Al 梁中的挠度。