We have published a new market research report on materials modelling software. The report provides a focus on the study of materials in any field by any type of physics-based model. It furthermore delineates materials modelling from the wider Computer-Aided Engineering and Cheminformatics markets that have been the subject of numerous studies. Based on data gathered about 72 software companies and codes we arrive at a market size of €339.5m, with roughly 75%/25% share due to continuum and discrete (electronic/atomistic/mesoscopic) modelling, respectively. The discrete modelling market is served by a wider range of providers in terms of size with nearly half of the market still captured by SMEs while 89% of the continuum modelling market is served by large enterprises due to the very large size and wide use of their continuum modelling packages. We also note that despite some M&A activity in recent years, the discrete and continuum markets are still largely served by distinct players rather than integrated providers. Tentative figures for market dynamics indicate a long term growth in the discrete modelling market of about 5% in contrast to a roughly 10% pa growth in continuum modelling. We conclude by arguing that there are likely to be substantial changes ahead due to further integration of materials into CAE combined with a strong growth in data-based, machine-learning methods for materials.