In this talk we are going to discuss how to represent (material) models in the new information processing paradigm of ontology-based access to data and models (OBDMA) which is developed in the context of the SMADI project on smart materials digitalization. OBDMA extends the well-known paradigm of ontology-based data access (OBDA), towards which the W3C standardized OWL2QL profile (https://www.w3.org/TR/owl2-profiles/#OWL_2_QL) is tailored. Due to its main application scenario, namely answering ontology-level queries over huge data sets residing in relational databases, OBDA (and OBDMA) produces answers to queries not by deduction but by transforming them to queries processable over the databases. This has consequences on the way material models can be represented in the overall OBD(M)A architecture and has motivated the design of a "distributed model" approach providing a method for distributing (parts) of (material) models to ontological artifacts in the OBDMA architecture.