Pull-out capacity of adhesive anchors: An analytical solution

Abstract

An analytical model for predicting the pull-out capacity of an adhesively bonded anchor loaded monotonically in tension is presented. The multi-layered axisymmetric assembly consists of an anchor, adhesive interlayer and the brittle matrix in which the anchor is embedded. The anchor is considered either as a transversely isotropic or an isotropic linear elastic material, while the adhesive is regarded as an isotropic continuum. Equilibrium equations in the radial and axial directions are uncoupled to obtain a pair of governing partial differential equations in terms of unknown displacements (radial and axial). The theoretical results are consistent with those obtained from finite element simulations. Analytical pull-out capacity predictions are also in good agreement with experimental results. A systematic parametric study is conducted using the developed mathematical model to study the influence of geometric and material parameters on the pull-out capacity of adhesive anchors. This study provides insights into the mechanics of stress transfer through the adhesive layer, influence of boundary condition at the embedded end of the anchor on stress fields and the design aspects of adhesive anchors.