- Global panelCoarse, strictly linear-elastic mesh. Each rivet sits at the centre of one element, and that element is special.
- Special elementCarries the closed-form plastic zone (radius rp) and its displacement field around the hole of radius a, passed to its four nodes.
Semi-analytical finite element modeling of riveting-induced plasticity
A riveted joint leaves a small plastic zone around each hole, and a fuselage panel has thousands of them. Resolving every zone with a nonlinear model is too expensive for design. I derived a closed-form elasto-plastic solution for the hole expansion (von Mises yielding, Hollomon hardening) that gives the plastic radius and the displacement field, and formulated special plate elements with an embedded rivet that pass this local solution to a linear-elastic global mesh as prescribed displacements.
The elements are being implemented in the group's in-house finite element code and validated against full nonlinear analyses and experimental data, with application to the effect of riveting sequence on residual stresses and panel distortion.