“…transport phenomena in discontinuous or highly heterogeneous systems, and stress induced corrosion (Bobaru and Duangpanya, 2012;Chen and Bobaru, 2015;Jafarzadeh et al, 2019a and2019b). Furthermore, PD has been used successfully in different areas, such as hydraulic fracturing (Ouchi et al, 2015), thermally-induced cracking (Oterkus et al, 2014;Wang et al, 2018Wang et al, & 2019, dynamic fracture (Rabczuk and Ren, 2017;Ren et al,2017;Wang et al, 2016, and chemical transport in unsaturated fracture systems (Yan et al, 2020). The present model aims to incorporate the fundamental physical and chemical interactions controlling the erosion, with PD formulations of expansion, detachment of diluted particles and detached particles transport processes.…”