One way of addressing adhesive modeling in abaqus is by using special elements at the interface. A greater challenge is to use the correct mesh size and aspect ratio near the interface to capture the huge gradient (stress concentration) caused by property change in the zone: you may want to see the following publication:
T. Sapanathan, R. Ibrahim, S. Khoddam, and S. Zahiri, Shear blanking test of a mechanically bonded aluminum/copper composite using experimental and numerical methods, Mater. Sci. Eng. A, 2015, 623(0), p.153-164
T. Sapanathan, R. Ibrahim, S. Khoddam, and S. Zahiri, Numerical Modeling to Determine Test Conditions of Shear Blanking Test for a Hybrid Material, Advanced Materials Research, 2014, 1016, p. 125-129.