Chemo-mechanical phase-field modeling of dissolution-assisted fracture

A coupled phase field formulation for modelling fatigue cracking in lithium-ion battery electrode particles

“…By using a scalar phase field d to describe the crack-solid interface, phenomena such as crack deflection, the coalescence of multiple cracks and crack branching become easy to handle in arbitrary geometries and dimensions. Phase field methodologies have been successfully used to model fracture across a wide range of materials and applications, including composites [31,32], functionally graded materials [33,34], shape memory alloys [35,36], rocks [37,38], and piezoelectric materials [39]. Phase field approaches have also been extended to coupled multi-physics problems of chemo-mechanical nature, such as hydrogen assisted fracture [40][41][42][43], corrosion [44,45], cracking of nuclear fuel pellets [46] and particle fracture in Li-Ion batteries [21,23].…”

Phase field modelling of fracture and fatigue in Shape Memory Alloys

“…And finally, solving (33) for the correction in the martensitic volume fraction at iteration (k) gives, ∆ξ…”

“…Not surprisingly, the method is enjoying great popularity and its success has been extended to numerous applications. Recent examples include fracture of functionally graded materials [24,25], composites delamination [26,27], cracking in solar-grade silicon [28], hydrogen embrittlement [29][30][31], rock fracture [32,33], and fatigue damage [34,35], among others; see [36] for a review.…”

Orthogonal decomposition of anisotropic constitutive models for the phase field approach to fracture

“…Therefore, there is no need for a crack tracking algorithm or additional criteria for crack branching and merging. The method has found its extension in subjects such as composite failure [1,6,58], ductility [2,4,28,36,60], dynamic fracture [10,14,41,57], hydraulic fracture [11,26,54,55,61], and environment assisted failure [35,48] to name a few. When mechanics of natural materials is concerned, especially geomaterials, they often exhibit anisotropic behaviors [3,16,44].…”