A finite element formulation is developed for the analysis of bonding problems. The formulation is based on the perturbed Lagrangian method where a quadratic perturbed term is added with a penalty parameter. The formulation is then applied for the stress analysis of a number of examples. The predicted results show good agreements with analytic ones even when material properties are much different.
One example includes a post-failure analysis using a simple trial and error approach.
In the analysis for push-out tests often used as an experiment for bonding strtength between two materials, several cases are considered to study effects of material properties, the length of bonding surfaces and boundary conditions. The results exhibited a complex state of interface stresses depending on the geometry and material arrangements.
