Phase-field modeling of crack growth and interaction in rock

Mechanical Properties of Rock Specimens Containing Pre-Existing Cracks with Different Dip Angles Based on Energy Theory and Cohesive Element Method

“…By combining laboratory experiments with advanced numerical modeling techniques, researchers have conducted in-depth research on microcrack initiation, propagation, and coalescence at the tip of joints, seeking to obtain the basic mechanical response and fracture characteristics of cracked rocks under different loading conditions. In terms of numerical simulation methods, cracked rock simulation is mainly achieved through the extended finite element method (XFEM) [12,13], the discrete element method (DEM) [14,15], the phase-field method [16,17], the finite-discrete element method (FDEM) [18,19], and the peridynamics (PD) [20]. Compared with laboratory tests, numerical simulations can provide information on the stress distribution evolution and microcrack propagation path during the rock fracture process [21][22][23][24].…”

A mixed-mode dependent interface and phase-field damage model for solids with inhomogeneities

“…The development continued by definition of a robust computational Phase-Field Model (PFM) with a rigorous thermodynamical background in [8][9][10]. Since then, a lot of enhancements of the phase-field algorithms appeared which tried to specify particular problems of the approach related to the characteristics of the computational model: scale parameter related to the width of the regularised crack, degradation function characterising the damage in the material [11,12], its effect on cracking process in various materials [13][14][15][16], crack nucleation conditions and subsequent processes [17][18][19][20] etc. The variety of degradation functions is frequently explained by particular material behaviour, properties of the computational approach and many times they are supported by empirical results.…”