Erratum to “Phase-field modeling of crack branching and deflection in heterogeneous media” [Eng. Fract. Mech. 232 (2020) 107004]

Jump conditions in phase‐field modeling of interface fracture

“…The length scale interaction of i and c is compensated by applyingĜ i c instead of G i c along the interface, cf. [8][9][10][11]. A sharp, conforming elastic jump beween the upper and lower half serves as reference.…”

“…The elastic material parameters are set to E 1 = 210 GPa, ν = 0.3 and E 2 /E 1 = 1/3, the length scales take values i = 18.75 µm and c = 15 µm, while the viscosity and the residual stiffness are specified as η f = 10 −5 kN s mm −2 and η = 10 −5 . The fracture toughness varies according to [10,11]. The length scale interaction of i and c is compensated by applyingĜ i c instead of G i c along the interface, cf.…”

“…1b. Crack propagation is achieved by applying surfing boundary conditions [5,10,11] along ∂Ω u,s . The elastic material parameters are set to E 1 = 210 GPa, ν = 0.3 and E 2 /E 1 = 1/3, the length scales take values i = 18.75 µm and c = 15 µm, while the viscosity and the residual stiffness are specified as η f = 10 −5 kN s mm −2 and η = 10 −5 .…”

Prediction of the anisotropic crack resistance of heterogeneous microstructures using a crack phase‐field model

“…varies smoothly across the interface [4], where G b c = G b1 c for the signed distance d(x) ≤ 0 and G b c = G b2 c otherwise. Hence, the interface fracture toughness G i c is incorporated in a diffuse manner, too [2], where the compensated interface fracture toughness Ĝi c is determined in a numerical study [3,4] to achieve crack propagation for G c = G i c along the interface.…”