Analytical and numerical simplified modeling of a single-lap joint

This paper is devoted to the theoretical modeling of mechanical response bonded structures and particularly focuses on single-lap joint which corresponds simplest most fundamental bonding configuration. Such a geometry brings into play all features any assembly in terms (stress/strain heterogeneities, singularities, adhesion at interfaces,...). It can especially be used characterize behavior new adhesives within an assembly. In cases, accurate description stress/strain distribution (specifically adhesive layer) required both for calibration dimensioning purposes. Accordingly, present study aims developing specific 1D enriched finite element numerical joints, overlap region. First, analytical solutions under tensile forces are investigated framework elasticity. They based choice 2D representation layer with polynomial displacement fields thickness coordinate. preliminary allows one identify optimally appropriate kinematics each (adhesive but also substrates) highlights importance non-linear expressions longitudinal transverse displacements adhesive. A three-layer model then formulated region, retained kinematics, involving elastoplastic constitutive law material. The integration through three layers lead definition very low-cost element, provides nevertheless complete stress fields, layer. (used simultaneously more classical beam unbonded parts adherends) finally validated by comparison reference results computed using Abaqus software.