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Development of enhanced analysis models for shear and peel stress distributions in tapered single lap joints
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DOI：10.1080/15376494.2025.2505946.png)
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Abstract
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Adhesive bonding plays an outstanding role in lightweight design as a technology to combine thin adherends made of different materials. Single lap joints are a common design for such joints, and therefore, were extensively investigated with analytical, numerical, and experimental methods. By adjusting the rigidity of the adherends, refined geometries are a possibility to reduce weight of such joints. This research aims for a profound analysis of geometries and layouts based on the stress distributions delivered by different methods. Enhanced analytical models are developed to depict variable geometries and the corresponding ordinary differential equation (ODE) systems are represented in a compact notation. Sophisticated geometries can be approximated by simpler, but larger, ODE systems which result in significantly reduced computing times. Additionally, free unbonded sections related to practical applications are considered. The developed models are verified with standard analytical models and a finite element analysis. Adherends with constant, tapered, or stepped thickness profiles are compared with two analytical and one finite element analysis model. Furthermore, the models are validated with an experiment. After all, the comparison of different layouts, geometries, and methods facilitates a better understanding of this joining technology for lightweight design.
Keywords:
Lap shear joints
analytical models
ordinary differential equation system
finite element analysis
shear stress
peeling stress
experimental validation
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