Fibrous media are present in a large variety of systems and applications due to their high mechanical performances at low weight. Such systems include complex yarns used as reinforcement for rubber tires, 3D woven structures used in cutting-edge areas such as aeronautics, composite engineering for transportation (aerospace, maritime, automotive industry), biological tissues, scaffolds for tissue growth and some biomaterials, such as ligament biosubstitutes or vascular endoprostheses. Some man-made fibrous structures have a regular, periodic architecture, e.g. woven networks for composite applications, while others have random microstructure, such as in paper and various types of insulation materials. Rubber and gels are random molecular networks. Many biological materials have a random complex fibrilar structure which plays the central role in their mechanics. Examples include soft connective tissue, such as tendons and ligaments, the arterial walls, and the cellular cytoskeleton. Damage accumulation, fracture and the related non-linear behavior under large deformations are important considerations in all these materials. The scientific problems raised by the complexity of fibrous media include the following aspects: - The development of methods to characterize the multiscale structure, including imaging techniques and image-to-model conversion; - The identification of the relation between the fiber properties and network architecture, and the overall mechanical behavior of the fibrous assembly; - The description and prediction of the onset of damage and overall structural failure, including occurrence of global scale instabilities; - Accounting for time-dependent behavior under small and large deformations, including the rheology of wet fibrilar structures and fibrilar structures embedded in matrix; - Understanding the mechanical behavior of active networks such as the cellular cytoskeleton; - The development of homogenization methods for constructing an equivalent homogeneous medium; - The consideration of scale effects, which may require the consideration of generalized continua (Cosserat, second gradient, microstretch or micromorphic media); - The design of experimental procedures for identifying specific mechanical properties and in particular non-conventional properties of networks; - The design of metamaterials with a fibrous architecture for acoustic or other applications; - The development of efficient numerical methods to handle fibrous microstructures incorporating multiscale aspects (discrete elements, multi-domain approaches, finite element techniques). The aim of the course is to bring together researchers in the field of fibrous media, to foster interactions between experts with different background and to educate the next generation of researchers. The course is mostly intended for Master students, PHD students, post-doctoral researchers, industrial researchers and engineers and scientists interested in the more practical use of such materials. More established researchers interested in an overview of the field are also welcome.