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Within the theoretical and computational analysis of multi-scale fracture mechanics we are devoting research efforts in the area of crack propagation in brittle and quasi-brittle materials by means of standard dissipative system analogies, advanced variational formulations, and numerical algorithms for crack growth. These studies, fueled by a long-term cooperation with the Cornell Fracture Group and more recently by a cooperation with internationally renowned enterprises, are undergoing a vibrant development. A recent theoretical investigation provided a computational breakthrough, which has the potential to track 3D crack growth in embrittled materials very efficiently and on a firm theoretical basis. Extensions have been carried out for layered materials and, most interesting, for the multi-scale and multi-physics fracture processes induced by diffusion of species in solids.

Selected publications:

M. Zammarchi, F. Fantoni, A. Salvadori, P. Wawrzynek, High Order Boundary and Finite Elements for 3D Fracture Propagation in Brittle Materials, Comput. Methods Appl. Mech. Engrg. 315 (2017) 550-583
Salvadori A., Fantoni F., Fracture propagation in brittle materials as a standard dissipative process: general theorems and crack tracking algorithms, Journal of The Mechanics and Physics of Solids, 95, (2016), 681-696
Bosco E., Kouznetsova V.G., Coenen E.W.C., Geers M.G.D., Salvadori A., Multiscale computational homogenization-localization modelling of microscale damage towards macroscopic failure: describing non-uniform fields across discontinuity., Comput Mech (2014) 54:299-319
Salvadori A., Fantoni F., On a 3D crack tracking algorithm and its variational nature., Journal of the European Ceramic Society 34 (2014) 2807-2821,
Salvadori A., Fantoni F., Weight function theory and variational formulations for three-dimensional plane elastic cracks advancing, International Journal of Solids and Structures, 51 (2014) 1030-1045
Salvadori A., Fantoni F., Minimum theorems in 3D incremental linear elastic fracture mechanics, International Journal of Fracture, Volume 184, Issue 1 (2013), 57-74
Salvadori, A., Giacomini, A., The most dangerous flaw orientation in brittle materials and structures, International Journal of Fracture, Volume 183, Issue 1 (2013), 19-28,
Salvadori, A., Wawrzynek, P., Ingraffea, A., Energy dissipation in the mixed mode growth of cracks at the interface between brittle materials. International Journal of Fracture: Volume 181, Issue 2 (2013), 257-271
Salvadori, A., Crack kinking in brittle materials, Journal of the Mechanics and Physics of Solids, 58 (2010) 1835-1846
Salvadori A., A plasticity framework for (linear elastic) fracture mechanics, Journal of the Mechanics and Physics of Solids, 56 (2008) 2092-2116