Multiscale Fatigue Crack Growth Modeling for Welded Stiffened Panels

A Newly Discovered Relation between the Critical Resolved Shear Stress and the Fatigue Endurance Limit for Metallic Materials

“…According to the TM model, micro-cracks form along slip bands (see Figure 3b), depending on grain size (i.e., slip band length) d, the average shear stress range ∆τ on the slip band, the shear modulus G, the crack initiation energy W c , Poisson's ratio ν, and the CRSS [16,17,[20][21][22]. A more extended and detailed description of the implementation of the TM equation into FEM-based modelling and simulation of the crack initiation process has been reported in publications of the authors of this study in [5,16,17,20,[23][24][25] and by other researchers, too, in [21,22,26,27].…”

“…The multiscale approach for fatigue simulation, consisting of CRSS determination either from micro-pillar tests (MPT) or from molecular dynamics (MD) simulations (both in Figure 3a), crack initiation simulations based on the TM equation ( Figure 3b) and long crack growth simulations based on fracture mechanics principles (Figure 3c), has been previously reported in [8,16,24,25,28,29]. The methodology forms the basis of the past [5] and present research work, which has been conducted with the aim to further elucidate the relevance of the parameter CRSS for fatigue strength in general.…”

Simulation-based Understanding of the Critical Resolved Shear Stress Relevance for the Fatigue Performance of Metallic Materials

“…slip band length) d, the average shear stress range Δτ on the slip band, the shear modulus G, the crack initiation energy Wc, Poisson's ratio ν, and the CRSS [10][11][12][13][14]. A more extended and detailed description of the implementation of the TM equation into FEM-based modelling and simulation of the crack initiation process has been reported in publications of the authors of this study in [5,[10][11][12][15][16][17][18] and by other researchers, too, in [13,14,19,20].…”

“…The multiscale approach for fatigue simulation, consisting of the CRSS determination either from micro-pillar tests (MPT) or from molecular dynamics (MD) simulations (both in Figure 3a), crack initiation simulations based on the TM equation ( Figure 3b) and long crack growth simulations based on fracture mechanics principles ( Figure 3c), has been previously reported in References [10,15,17,18,21,22]. The methodology forms the basis of the past [5] and present research work, which has been conducted with the aim to further elucidate the relevance of the parameter CRSS for the fatigue strength in general.…”