Corrigendum to “A coupled thermo-mechanical bond-based smoothed particle dynamics model for simulating thermal cracking in rocks” [Eng. Fract. Mech. 265 (2022) 108364](S0013794422001229)(10.1016/j.engfracmech.2022.108364)

The authors regret, Change 1: Eqs. (2) and (28) have errors and should be corrected to the following form: [Formula presented] [Formula presented] Change 2: In order to enhance the rigor of the paper, the following references should be added in the titles of Figs. 1, 2, 9–12 and 19 shown below. Fig. 1. Schematic diagram of deformation process of the i-th particle in configuration [60]. Fig. 2. Discretization of 2D particles with broken virtual bonds [61,62]. Fig. 9. The heat conduction diagram with the heat flux of the j-th interacting particles flowing into the i-th particle [26, 60]. Fig. 10. Schematic diagram of deformation process of the i-th and j-th particles in the configuration [60]. Fig. 11. Schematic diagram of thermoelastic interaction between the i-th and j-th particles [60,61]. Fig. 12. Flow chart of program calculation based on thermo-mechanical coupling model [60]. Fig. 19. The modes of displacement between two adjacent rock particles [64]. Change 3: In order to enhance the rigor of the paper, references should be added to the sentence “The Cauchy stress on the virtual bond is approximately taken the average value of the stress at the i-th and j-th particles [61,63], namely:”, the paragraph “In order to describe the fracture state of virtual bonds, the interaction factor [Formula presented][50,61] shown in Eq. (14) is defined to reflect whether the virtual bonds are broken, and then the number of broken bonds of the i-th particle in the non-local influence domain is counted. The damage function D is constructed to quantitatively describe the damage degree of the i-th particle, whose specific form can be written as follows [61]:” and the sentence “The size and mechanical parameters of the numerical sample were largely consistent with those used by the researchers [26,27] in their numerical simulation, as shown in Table 4.”, please see pages 5 and 18 of the published paper. In addition, the referenced added references are listed below: [60] Mu DR, Zhang DY, Tang AP, Qu HG, Li ZM. Numerical simulation of rock thermal fracture considering friction effect in the framework of smooth particle hydrodynamics based on total Lagrangian formula. Rock Mech Rock Eng 2022;55:1663–1685. [61] Bi J, Zhou XP. A novel numerical algorithm for simulation of initiation, propagation and coalescence of flaws subject to internal fluid pressure and vertical stress in the framework of general particle dynamics. Rock Mech Rock Eng 2017;50(7):1–17. [62] Bi J, Zhou XP. Numerical simulation of kinetic friction in the fracture process of rocks in the framework of General Particle Dynamics. Comput Geotech 2017;83(7):1–15. [63]Shou YD. Peridynamic numerical simulation of thermo-hydromechanical coupled problems in crack-weakened rock. Doctoral dissertation of Chongqing University; 2017. [64] Mu DR, Wen AH, Zhu DQ, Tang AP, Nie Z, Wang ZY. An improved smoothed particle hydrodynamics method for simulatingcrack propagation and coalescence in brittle fracture of rock materials. Theor Appl Fract Mec 2022;119:1103355. Change 4: A typo in the boundary conditions on page 15 of the published paper should be corrected to avoid misleading the reader. That is, the sentence “In addition, the upper and lower boundaries were fixed constraints, while the lateral boundaries on the left and right sides were unconstrained” should be changed to “In addition, the upper, lower, left and right boundaries were fixed constraints”. In addition, the corresponding content should also be modified, that is, the sentence “Fig. 16 shows the horizontal displacement of the plate after different computation times.” should be modified to “When the lateral boundaries on the left and right sides were unconstrained, the horizontal displacement of the plate after different computation times was given in Fig. 16”. The authors would like to apologise for any inconvenience caused.