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Phase-field modelling of crack in fixed grid

In phase field method how one can specify the crack in fixed grid?

In case of finite element method one uses two overlapping nodes to model crack, which nodes separate after crack propagation. In case of phase-field, generally people use fixed grid finite difference method. My question is how the same node point can show two different displacements when crack has passed through it like FEM?

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chenlei07's picture

in the phase field, the crack is described by one order parameter, which equals 1 in the crack body, otherwise 0

chenlei07my question is not about order parameter, my question is about initial condition of order parameter.

By using phi=0 (broken phase) for one line segment of nodes  crack can be specified. but with the loading applied we expect some crack opening displacement. now as there is only one node specifying both upper and lower crack faces displacements +u and -u at that node will be zero.

My opinion which could be wrong on this point is that, one should take elliptical crack to distinguish crack upper and bottom surfaces. Image showing phi=0 by red coloured nodes. I am not sure whether crack surface is phi=0 or phi=1.

Elliptic crack instead of line crack in Phase-field method

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