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Stress- and diffusion-induced interface motion: modelling and numerical simulations. (English) Zbl 1128.74004

Summary: We propose a phase field model for stress and diffusion-induced interface motion. This model, in particular, can be used to describe diffusion-induced grain boundary motion and generalizes a model of J. W. Cahn, P. Fife and O. Penrose [Acta Mater. 45, 4397–4413 (1997)] as it more accurately incorporates stress effects. In this paper we demonstrate that the model can also be used to describe other stress-driven interface motion. As an example, interface motion resulting from interactions of interfaces with dislocations is studied.

MSC:

74A50 Structured surfaces and interfaces, coexistent phases
82B24 Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics
74G65 Energy minimization in equilibrium problems in solid mechanics
74N99 Phase transformations in solids
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