You should use care when tying zero-thickness cohesive layers to the surrounding bulk material mesh. Use the following procedure to avoid problems:
Use the solid offset mesh tool to create the layer of cohesive elements along with the top and bottom surfaces. Abaqus/CAE appends TopSurf and BottomSurf to the surface name prefix when it creates the two surfaces on either side of the layer of cohesive elements.
Use the stack orientation query tool to distinguish the top (brown) and bottom (purple) faces of the cohesive elements.
Tie the surfaces of the surrounding bulk material mesh to the appropriate top and bottom cohesive surfaces. When you are prompted to select a surface from the cohesive surface, click Surfaces from the right side of the prompt line and select the appropriate surface. For example, select surface name-BottomSurf to tie the bottom (purple) face of the cohesive layer to the adjacent surface of the bulk material mesh.