Phase field modeling of crack propagation

By R. Spatschek, E. Brener, Alain Karma. 2010

185 citations recorded by the source corpus.

Fracture is a fundamental mechanism of materials failure. Propagating cracks can exhibit a rich dynamical behavior controlled by a subtle interplay between microscopic failure processes in the crack tip region and macroscopic elasticity. We review recent approaches to understand crack dynamics using the phase field method. This method, developed originally for phase transformations, has the well-known advantage of avoiding explicit front tracking by making material interfaces spatially diffuse. In a fracture context, this method is able to capture both the short-scale physics of failure and macroscopic linear elasticity within a self-consistent set of equations that can be simulated on experimentally relevant length and time scales. We discuss the relevance of different models, which stem from continuum field descriptions of brittle materials and crystals, to address questions concerning crack path selection and branching instabilities, as well as models that are based on mesoscale concepts for crack tip scale selection. Open questions which may be addressed using phase field models of fracture are summarized.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/2f211de52fa810f9b4595571b9228efb50dfcb0b

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Finite element modeling of quasi-brittle cracks in 2D and 3D with enhanced strain accuracy (2017, background): “More recently, nonlocal constitutive models [6], gradient enhanced [7, 8] and phase field techniques [8-12] have also been considered within the continuous approach.”
Thermodynamically consistent algorithms for a finite‐deformation phase‐field approach to fracture (2014, methodology): “To properly account for the nonhealing irreversibility in crack evolution, constraints are set either as boundary conditions [17, 27] or like introduced by Miehe et al.”
A phase-field/gradient damage model for brittle fracture in elastic–plastic solids (2015, unknown): “[17]).”