A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns

By M. Hofacker, C. Miehé. 2013

301 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/49dc8c757a3ec3b2ba85d2313e90df85ab63e011

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Thermodynamically consistent algorithms for a finite‐deformation phase‐field approach to fracture (2014, methodology): “Several formulations of generalized brittle fracture have been formulated and employed for numerical approximations, see, for example, [3–8] among many.”
A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure (2015, unknown): “It has been adapted to quasi-static fracture problems in [9,8], dynamic crack propagation [11,27], and in a multiphysic context in [39,1].”
A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework (2014, methodology): “(16) In this form, we follow Miehe, Hofacker, and Welschinger [30] and let ψ+e and ψ − e represent an additive decomposition of ψe that provides a distinction between energy contributions from tensile and compressive deformations, respectively (see Appendix A for details).”
Crack nucleation in variational phase-field models of brittle fracture (2018, unknown): “They have been expended to account for dynamic effects [65, 23, 16, 57], ductile behavior [2, 77, 3], cohesive effects [35, 34, 45], large deformations [4, 76, 15], or anisotropy [69], for instance.”
Continuum phase field modeling of dynamic fracture: variational principles and staggered FE implementation (2012, methodology): “Inspired by these contributions, the recent works Miehe et al. (2010a,b) and Hofacker and Miehe (2012) outline a general thermodynamically-consistent framework of dissipative phase field modeling in fracture mechanics and consider aspects of its numerical implementation.”
A phase‐field model for cohesive fracture (2013, methodology): “Both models have been applied to dynamic fracture [23, 24, 25].”
Multi-phase-field modeling of anisotropic crack propagation for polycrystalline materials (2017, unknown): “Moreover, the phase field method has a low dependence to the mesh in a classical FEM framework and can handle very complex, multiple crack fronts, branching in both 2D and 3D without adhoc numerical treatment [8,21,28].”