Composite adhesive bonded joints are widely used in various industrial and technological applications, including aerospace, electronics, biomedical, automotive, ship building and construction. In this paper, the attention is focused on layered structures consisting of two adherent beams bonded together by an adhesive layer. For such structures, a modeling approach based on the classical Timoshenko beam theory in conjunction with an adhesive model of imperfect interface is introduced. This imperfect interface approach, recently proposed by the authors in the contest of linear elastic adhesive and adherents materials, small strains and small displacements theory, models the asymptotic behavior of a thin interphase at higher orders for both the cases of hard and soft interface materials in a unified approach (Rizzoni et al., 2014). Accounting for higher order terms of the asymptotic expansions in the adhesive, the proposed approach generalizes simpler models based on the classical spring-type interface law or on the case of perfect contact between the adherent layers.

The proposed methodology is used to evaluate stresses in two adhesive bonded joint configurations subjected to bending moment and transverse shear loading. Numerical simulations are produced and the results show good agreements with those obtained through finite element analysis.

复合胶接接头广泛用于各种工业和技术应用，包括航空航天，电子，生物医学，汽车，造船和建筑。在本文中，注意力集中在分层结构上，该分层结构由通过粘合层粘合在一起的两个粘合梁组成。对于这种结构，介绍了一种基于经典Timoshenko梁理论并结合不完善界面的粘合剂模型的建模方法。作者最近在线性弹性粘合剂和粘附材料，小应变和小位移理论的竞赛中提出了这种不完善的界面方法，该方法对软界面材料在高阶中的稀薄相间的渐近行为进行建模。统一的方法（Rizzoni等，2014）。

所提出的方法用于评估承受弯矩和横向剪切载荷的两种粘合接头结构中的应力。进行了数值模拟，结果表明与通过有限元分析获得的结果吻合良好。