Contact in a coupled Eulerian-Lagrangian analysis must be defined using general contact. The general contact definition enables interactions between any Lagrangian surface and the surfaces of all Eulerian material instances; contact between different Lagrangian parts in the model is also enabled.
In Abaqus/CAE you must use the global All* with self contact domain and a global contact property for the general contact definition. You cannot exclude specific Eulerian material instances from contact with Lagrangian part instances, and you cannot define unique contact properties for different Eulerian material surfaces.
True contact cannot be defined between different Eulerian material instances. A rudimentary contact condition is enforced because material instances cannot penetrate each other. However, material instances do not separate once they come into contact, which prevents the modeling of sliding or rebounding behavior. Contact output is not available for Eulerian material instances. For a detailed discussion of Eulerian analysis contact formulations, refer to “Interactions” in “Eulerian analysis,” Section 13.1.1 of the Abaqus Analysis User's Manual. If the contact conditions between two materials are significant to your analysis, at least one of the materials should be modeled as a Lagrangian part.