Modelling crystal growth is important for example in engineering, materials science, and the life sciences.

We present a new phase field framework for modelling fracture and fatigue in Shape Memory Alloys (SMAs). The constitutive model captures the superelastic behaviour of SMAs damage is driven by elastic transformation strain energy densities. consider both assumption constant case dependent on martensitic volume fraction. implemented an implicit time integration scheme, with monolithic staggered s...

Abstract This paper seeks a vertex based approach to faceted anisotropy in phase field modelling of crystal growth. We examine Wulff shapes and the connection they have with formulations. On inspecting current approaches facets within we observe that there are two distinct approaches: one implements faceting purely kinetic parameter thus avoiding complications taking gradients discontinuous fun...

Abstract Premature failures in metals can arise from the local reduction of fracture toughness when brittle phases precipitate. Precipitation be enhanced at grain and phase boundaries promoted by stress concentration causing a shift terminal solid solubility. This paper provides description model to predict stress-induced precipitation along interfaces one-phase two-phase metals. A phase-field ...

In this work, we extend the recently proposed adaptive phase field method to model fracture in orthotropic functionally graded materials (FGMs). A recovery type error indicator combined with quadtree decomposition is employed for mesh refinement. The approach capable of capturing process a localized refinement that provides notable gains computational efficiency. implementation validated agains...