Abstract In this work, we study the peeling behavior of one slender beam adhered to another slender beam from the perspective of mechanics. The energy method is utilized to derive the governing equations and the associated boundary conditions based on the infinitesimal and finite deformation theories. Since the length of adhered segment and the rotation at the interface between the adhered and non-adhered segments are unknown, the governing equations and associated boundary conditions cannot be solved by the numerical method directly. Thus, we employ an optimization-based approach to solve the problem and perform a comparative study on the deformation of the two adhered beams with several factors including the bending stiffness ratio between these two beams, the transverse loadings applied to these two beams and the work of adhesion between these two beams. The findings of this paper are of great significance to analyze complex peeling and adhesion systems from theoretical and numerical perspectives.

中文翻译：

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用基于优化的方法研究两个粘附细长梁的剥离力学

摘要 在这项工作中，我们从力学的角度研究了一个细长梁附着在另一根细长梁上的剥离行为。能量法用于基于无穷小和有限变形理论推导出控制方程和相关的边界条件。由于粘附段的长度以及粘附和非粘附段之间界面处的旋转是未知的，控制方程和相关的边界条件不能直接用数值方法求解。因此，我们采用基于优化的方法来解决该问题，并对两个粘附梁的变形进行比较研究，其中包括这两个梁之间的弯曲刚度比等几个因素，施加在这两个梁上的横向载荷以及这两个梁之间的粘附功。本文的研究结果对于从理论和数值角度分析复杂的剥离和粘附系统具有重要意义。