Effect of the type of a flat problem for a thin elastoplastic adhesive layer on $J$-integral value

The deformation of an ideal elastoplastic adhesive layer of a sample in the form of an elastic double-cantilever beam is considered. Taking into account all diagonal components of the stress tensor in the layer, the values of the $J$-integral were found for a number of adhesives. It is shown that when using an elastoplastic model of layer deformation, the type of plane problem can have a significant impact on the value of the $J$-integral. It has been shown that during normal tearing in the zone of irreversible deformation of the adhesive in a plane stressed state, the presence of compressive stresses is possible.