Finite strain phase-field model for martensitic transformation: Large-scale finite element simulations

Abstract: Martensitic transformation is a first-order solid-solid diffusionless transformation that occurs between the parent phase (austenite) and the product phase (martensite) and is characterized by the microstructure evolution, which is accompanied by the formation, propagation, and annihilation of the interfaces. In shape memory alloys, the microstructure evolution is the mechanism behind the properties such as pseudoelasticity and shape memory effect. In general, due to the incompatibility between austenite and a single variant of martensite, the martensitic transformation is realized via the formation of complex twinning microstructure. A recently developed phase-field model for multivariant martensitic transformation is implemented using the finite element method and used to compute large-scale simulations reaching 150 million degrees of freedom. The computational problems are quite expensive due to the fact that high mesh density is needed to capture the detailed microstructure, see attached figure. Our implementation has shown robustness and good parallel scaling performance. Having this model, the goal is to perform a systematic investigation of the effect of crystal lattice orientation and material anisotropy on the indentation-induced microstructure evolution in CuAlNi shape memory alloy. To our knowledge, such a comprehensive high-resolution microstructure-based modeling study has not been reported before. This is a joint work with M. Rezaee-Hajidehi, S. Stupkiewicz, J. Hron and P. Farrell.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor).