The Department was established in 1966 as the Department of Theoretical Mechanics. Professor Marian Suchar was appointed its first head. In 1983 the unit changed the name to reflect real area of the staff scientific activities which is focused around mechanics of materials and includes: computational methods of mechanics, mechanics of composite materials, granular flow in silos, applications of artificial neural network and stochastic methods in mechanics of materials and structures.

The Department of Mechanics of Materials has been an organiser or co-organiser of many conferences, seminars and workshops. One of the largest conferences co-organised by the members of the Department was 17th International Conference on Computer Methods in Mechanics, CMM-2007.

At present, 17 persons are employed at the Department of Mechanics of Materials.