engleski

A Phase-Field Staggered Algorithm for Brittle Fracture Modelling

In the classical continuum mechanics, numeri - cal damage and fracture modelling leads to the mesh density and mesh orientation dependent results in the framework of finite element meth - od. The reason is the inevitable loss of ellipticity of the system’s governing equations on the onset of the deformation localization and material sof - tening. In order to circumvent the non-physical behavior of standard models, various approach - es have been proposed incorporating an inter - nal length measure as a common feature. A very promising which gained a lot of publicity lately is the phase-field fracture modelling method. It is based on a variational principle of the energy minimization as an extension of the Griffith’s brittle fracture theory. Instead of the numerical tracking of the sharp-crack surfaces used by the discrete crack modelling methods, it introduc - es a scalar damage field, called the phase-field, which distinguishes between the cracked and intact material states. That way, the numerical implementation complexity is vastly reduced. Moreover, what makes this approach particu - larly attractive is its thermodynamic consisten - cy and its ability to simulate arbitrary complex fracture phenomena even on three-dimensional problems.

phase-field modeling, fracture, staggered algo - rithm, ABAQUS

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