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- W2067351698 abstract "The extraordinary properties of shape-memory alloys stem from the formation and evolution of their complex microstructure. At lower temperatures, this microstructure typically consists of martensitic laminates with coherent twin boundaries. We suggest a variational-based phase field model at finite strains for the formation and dissipative evolution of such two-variant martensitic twinned laminate microstructures. The starting point is a geometric discussion of the link between sharp interface topologies and their regularisation, which is connected to the notion of Γ-convergence. To model the energy storage in the two-phase laminates, we propose an interface energy that is coherence-dependent and a bulk energy that vanishes in the interface region, thus allowing for a clear separation of the two contributions. The dissipation related to phase transformation is modelled by use of a dissipation potential that leads to a Ginzburg–Landau type evolution equation for the phase field. We construct distinct rate-type continuous and finite-step-sized incremental variational principles for the proposed dissipative material and demonstrate its modelling capabilities by means of finite element simulations of laminate formation and evolution in martensitic CuAlNi." @default.
- W2067351698 created "2016-06-24" @default.
- W2067351698 creator A5019147062 @default.
- W2067351698 creator A5035018060 @default.
- W2067351698 date "2012-12-01" @default.
- W2067351698 modified "2023-10-06" @default.
- W2067351698 title "A phase field model for the formation and evolution of martensitic laminate microstructure at finite strains" @default.
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- W2067351698 doi "https://doi.org/10.1080/14786435.2012.705039" @default.
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