Slip-mediated axisymmetric bending of multilayered structures with different interfaces: Analytical solutions and design guidelines

Abstract

Multilayered structures with slippery interfaces exhibit significant interlayer sliding during bending, enabling the design of structures with integrated functional capabilities by tailoring interfacial properties to control slip behavior and overall bending response. This study investigates the influence of different interfacial slip behaviors on the axisymmetric bending of multilayered structures, deriving analytical solutions for deflection and stiffness under two key interfacial shearing laws: Elastic Shear Stress (ESS) and Critical Shear Flow (CSF). The analytical results, validated by Finite Element Method (FEM), elucidate the impact of different shearing models on interfacial slip and overall load-displacement bending response. This study not only establishes a theoretical framework for understanding and predicting the bending behavior of circular multilayered structures with interfacial slip, but also provides valuable insights for experimental measurements and the design of functionally integrated structures.