ICAMS / Interdisciplinary Centre for Advanced Materials Simulation

Publications

Martensitic transformation in a two-dimensional polycrystalline shape memory alloys using a multi-phase-field elasticity model based on pairwise rank-one convexified energies at small strain

M. Sarhil, O. Shchyglo, D. Brands, I. Steinbach, J. Schröder.

Proceedings in Applied Mathematics & Mechanics, Wiley-VCH GmbH, 20, 1-3, (2021)

Abstract
For modeling the solid-solid transformation using the phase-field method, we need to describe the phase-fields strain and stress fields in the interfacial regions which are necessary to define the mechanical driving force density of the phase-fields motion.Seeking quantitative modeling, we introduce briefly a multi-phase-field elasticity model based on the rank-one convexification of the pairwise energies which satisfies the pairwise interfacial static equilibrium and kinematic compatibility conditions. As an application, we simulate the martensitic transformation in a two-dimensional polycrystalline SMAs at small strains. The finial evaluated microstructure consists of stress-free laminates meeting the theoretical expectations.


Cite as: https://doi.org/10.1002/pamm.202000200
DOI: 10.1002/pamm.202000200
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