An embedded crack model for finite element analysis of concrete fracture

By J. Sancho, J. Planas, D. Cendón, E. Reyes, J. Gálvez. 2007

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From local to global probabilistic modeling of concrete cracking (2010, background): “On the other hand, stress locking is still observed and some crack adaptation techniques are proposed [38, 43].”
Cover cracking of reinforced concrete due to rebar corrosion induced by chloride penetration (2011, methodology): “Developing the expressions from the strong discontinuity approach [12,13,23]:”
Fracture assessment of U-notches under mixed mode loading: two procedures based on the ‘equivalent local mode I’ concept (2007, methodology): “Special cohesive elements had been placed into the triangular area, using the embedded crack technique ( Sancho et al. 2007 ).”
Extended isogeometric analysis based on PHT‐splines for crack propagation near inclusions (2017, background): “J(1+2) = ∫Γ ⎢⎢⎢⎣ 1 2 ( σ (1) ij + σ (2) ij )( ε (1) ij + ε (2) ij ) δ1j − ( σ (1) ij + σ (2) ij ) ∂ (u(1) i + u((2)) i ) ∂x1 ⎥⎥⎥⎦ njdΓ.”