This special volume of the series "Lecture Notes in Applied and Computational Mechanics" is a compendium of reviewed articles presented at the 11th EUROMECH-MECAMAT conference entitled 'Mechanics of microstructured solids: cellular materials, fibre reinforced solids and soft tissues', which took place in Torino (Italy) in March 10-14, 2008, at the Museo Regional delle Scienze. This EUROMECH-MECAMAT conference was jointly organized by the Dipartimento di Matematica dell'Universita di Torino, Italy and the INPL Institute (LEMTA, Nancy-Universite, France). The conference covered most of the mechanical and material aspects, grouped in the following four sessions Fibre reinforced materials, Soft biological tissues, Generalized continua: models and materials, and Non-linear wave propagation.