10 th Special Seminar: "Modelling planar crack front propagation: Clusters, avalanche shapes and front roughness" - Prof. Lasse Laurson (Tampere University of Applied Sciences, Finland)
The morphology and dynamics of planar crack fronts in disordered solids can be modelled with the driven long-range elastic string in a random medium. Due to the long-range nature of the elastic interaction kernel, avalanches of crack front propagation are broken into spatially disconnected clusters that exhibit different scaling of their size distribution as compared to that of the global avalanches . Avalanches are often characterized also by their average temporal shape, and interestingly this shape turns out to be asymmetric . Finally, I’ll discuss our recent work on interface roughness, and show that due to a broken symmetry caused by the direction of the driving force, elastic interfaces such as the long-range elastic string exhibit asymmetric roughness .
 L. Laurson, S. Santucci, and S. Zapperi, Avalanches and clusters in planar crack front propagation, Phys. Rev. E 81, 046116 (2010).
 L. Laurson, X. Illa, S. Santucci, K. T. Tallakstad, K. J. Måløy, and M. J. Alava, Evolution of the average avalanche shape with the universality class, Nat. Commun. 4, 2927 (2013).
 E. Toivonen, M. Molkkari, E. Räsänen, and L. Laurson, Asymmetric roughness of elastic interfaces at the depinning threshold, Phys. Rev. Lett. 129, 175701 (2022).