Abstract Chapter 9 presents different multiscale methods for fracture which are useful for applications such as computational materials design. The focus will be on so-called concurrent multiscale methods for fracture where the geometry of a fine-scale model is directly integrated into the geometry of the coarse-scale model. All those methods are based on extended finite element methods to represent fracture either on one or two length scales. Two approaches are described: In the first approach, the fine-scale domain and the coarse-scale domain are coupled at a discrete interface. This approach seems promising for static applications while the second approach is better for dynamic fracture as artificial wave reflections are minimized through a handshake coupling which contains both the fine-scale and coarse-scale domain. Efficient strategies to coarse grain cracks are presented which are required in adaptive multiscale methods to guarantee computational efficiency. The multiscale methods for fracture are described for coupling two continuum models as well as coupling atomistic and continuum models.