Phase-field study of size effects in martensitic microstructures

Abstract eng:
Formation of martensitic microstructures is usually explained by energy minimization, while the competition between the bulk and interfacial energy contributions provides a natural intrinsic length scale and makes the microstructures size-dependent. In this work, size-dependent microstructures in CuAlNi shape memory alloy have been computed using a phase-field method, and the corresponding predictions have been compared to the results of sharp-interface modelling. Both approaches account for interfacial energy effects, though in a different manner. In the computations, a finite-strain phase-field model recently developed by the authors has been used. The model involves several new ingredients, including a volume-preserving logarithmic mixing rule, hierarchical order parameters and bound constraints enforced on order parameters.

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