Abstract: Dynamics with contact are often formulated as a constrained optimization problem. This approach allows handling in an integrated manner both non-penetration and frictional constraints. Following developments in the computational mechanics field, we have designed an algorithm for adding the simulation of adhesive contact constraints in the context of state-of-the-art constraint-based contact solvers. We show that implicit adhesion constraints can be handled with minor changes to existing solvers, and we demonstrate our algorithm on a diverse range of objects, including mass-spring cloth, volumetric finite-element models, and rigid bodies.