This School is devoted to the mathematical modeling and analysis of various types of materials like solitons, inelastic solids, and more. The main weight is put on the foundations and description of methods and results from applied analysis that are used to describe these materials and their physical properties, which are essentially several types of partial differential equations. Phenomena like damages, viscosity, phase separation, waves and more are discussed. Mathematical topics covered comprise gradient flows, (stochastic) homogenisation, variational inequalities and much more. The speakers are well-known mathematicians working in applied fields.