Matrix-inclusion materials constitute a material class of major practical significance and generality (e. g., particle/whisker/fiber reinforcement; porous materials and foams). The unified description of such materials will accept discrete data sources (e.g. X-ray CT), probabilistic models (e. g. Boolean models) as well as parameterized microstructure synthetization. Universal ontologies will allow interoperability of these fundamentally different data types for the description of matrix-inclusion materials. Thereby, different communities will be brought together, connecting experimental material scientists with mathematicians and engineers. The universal description will enable the discovery and exploration of relevant data at reduced overhead. Through a dedicated intellectual property management, the community will be appealed to publish data. Having an extensible base ontology will enable future developments with backwards compatibility. The community can then focus on linking the microstructure information with complex physical data and dedicated thermo-chemo-mechanical material models by limiting overhead for data generation, data gathering and implementing data access.