The paper presents an analytical model to study the shear driven debonding of a composite cantilever beam subjected to a point load. The composite structure consists of two elastic beams connected by an interface layer, and the model uses cohesive zone models to simulate the degradation process at the joint. These cohesive zone models are characterized by non-continuous and linear softening in the relationship between shear stress and relative tangential displacement. The results are expressed using non-dimensional parameters, and the model yields quasi-static equilibrium paths that demonstrate snap-back responses in both force and displacement values. The significance of the research lies in its application to structural engineering, where composite materials are extensively used. The study emphasizes the critical role of the interface layer strength in maintaining the structural integrity of composites. The proposed model advances the understanding of debonding by introducing a constitutive relation for the interface that accounts for the step-wise change in mechanical properties. The governing equations for the cantilever beam are derived, considering the equilibrium of forces and moments, and the relative tangential displacement at the interface. The model delineates three stages of interface degradation: no relative slip, plastic deformation, and progressive debonding. The analytical solutions for each stage provide insights into the beam deflection, shear stress, and axial force distribution. This research contributes to the field by offering a more refined analytical approach to study debonding in composite beams, which is essential for improving the design and analysis of composite structures.

本文提出了一个分析模型，用于研究复合材料悬臂梁在点载荷作用下的剪切驱动脱粘。复合结构由两根由界面层连接的弹性梁组成，该模型使用内聚区模型来模拟接头处的退化过程。这些内聚区模型的特点是剪切应力和相对切向位移之间的关系中非连续和线性软化。结果使用无量纲参数表示，模型产生准静态平衡路径，该路径展示了力和位移值的回弹响应。该研究的意义在于其应用于复合材料广泛使用的结构工程。该研究强调了界面层强度在维持复合材料结构完整性方面的关键作用。所提出的模型通过为界面引入解释机械性能逐步变化的本构关系来促进对脱键合的理解。考虑了力和力矩的平衡以及界面处的相对切向位移，推导出了悬臂梁的控制方程。该模型描绘了界面退化的三个阶段：无相对滑移、塑性变形和渐进脱粘。每个阶段的解析解提供了对梁挠度、剪切应力和轴力分布的见解。这项研究通过提供更精细的分析方法来研究复合梁中的脱粘，为该领域做出了贡献，这对于改进复合结构的设计和分析至关重要。