Recommended reading
Zaccariotto, M., Mudric, T., Tomasi, D., Shojaei, A., Galvanetto, U. (2018). Coupling of FEM meshes with peridynamic grids. Comput. Methods Appl. Mech. Eng., 330, 471–497.
Ni, T., Pesavento, F., Zaccariotto, M., Galvanetto, U., Zhu, Q.-Z., Schrefler, B. A. (2020). Hybrid FEM and peridynamic simulation of hydraulic fracture propagation in saturated porous media. Comput. Methods Appl. Mech. Eng., 366, 113101.
Francfort, G. A., Marigo, J.-J. (1998). Revisiting brittle fracture as an energy minimization problem. J. Mech. Phys. Solids, 46, 1319–1342.
Silling, S. A. (2000). Reformulation of elasticity theory for discontinuities and long-range forces. J. Mech. Phys. Solids, 48, 175–209.
Buehler, M. J., Gao, H. (2005). A mother–daughter mechanism for mode I dominated cracks: Supersonic crack motion along interfaces of dissimilar materials. Strength Fract. Complex., 3, 105–115.
Shu, Y., Shen, Z., Ni, T., Faccenda, M., Galvanetto, U., Di Toro, G., Schrefler, B. A. (2026). FEM-peridynamic modelling of supershear earthquake ruptures in dry and fluid-saturated media. J. Geophys. Res. Solid Earth, 131, e2025JB032981.
Khoei, A. R., Mortazavi, S. M. S., Simoni, L., Schrefler, B. A. (2023). Irregular and stepwise behaviour of hydraulic fracturing: Insights from linear cohesive crack modelling with maximum stress criterion. Comput. Geotech., 161, 105570.
Miehe, C., Welschinger, F., Hofacker, M. (2010). Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations. Int. J. Numer. Methods Eng., 83, 1273–1311.
Bourdin, B., Francfort, G. A., Marigo, J.-J. (2000). Numerical experiments in revisited brittle fracture. J. Mech. Phys. Solids, 48, 797–826.
Khoei, A. R. (2015). Extended Finite Element Method: Theory and Applications. Wiley.