Effective toughness of heterogeneous media

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An overview of the modelling of fracture by gradient damage models (2016, unknown): “We consider the surfing experiment proposed in [24].”
Phase-field modelling of interface failure in brittle materials (2019, methodology): “It differs from a classical DCB in the sense that the specimen is deformed using a so-called ‘surfing boundary condition’ [14, 13], which projects the near-field displacements u(r, φ) of a mode-I crack obtained in linear elastic fracture mechanics to the IGA control points of the boundary edges.”
Crack nucleation in variational phase-field models of brittle fracture (2018, unknown): “The “surﬁng” problem introduced in [53] consists in applying a translating boundary displacement on Ω given by ¯ u ( x, y ) = ¯ u I ( x − V t, y ), where ¯ u I denotes the asymptotic far-ﬁeld displacement ﬁeld associated with a mode-I crack along the x -axis with tip at (0 , 0), V is a prescribed…”