Three-Dimensional Elastic Compatibility: Twinning in Martensites
K. Ø. Rasmussen, T. Lookman, A. Saxena, A. R. Bishop, R. C. Albers
Abstract
We show how the St.Venant compatibility relations for strain in three dimensions lead to twinning for the cubic to tetragonal transition in martensitic materials within a Ginzburg-Landau model in terms of the six components of the symmetric strain tensor. The compatibility constraints generate an anisotropic long-range interaction in the order parameter (deviatoric strain) components. In contrast to two dimensions, the free energy is characterized by a "landscape" of competing metastable states. We find a variety of textures, which result from the elastic frustration due to the effects of compatibility. Our results are also applicable to structural phase transitions in improper ferroelastics such as ferroelectrics and magnetoelastics, where strain acts as a secondary order parameter.
Create a lesson
Related papers
Necessary conditions for benchmarking next-generation AI in materials discovery
Daniel E Widdowson, Tatiana V Kurlina, Olga D Anosova et al.
Doubly Metastable Synthesis for Accelerated Quantum Materials Discovery
Kyuho Lee, Berit H. Goodge, Soonhyun Kwon et al.
Phononic Frequency Combs in Twisted Bilayer Transition Metal Dichalcogenide Heterostructures from First Principles
Naman Arora, Adarsh Ganesan
Improved screening of doped ZrO2 catalysts for CO2 hydrogenation from graph-based machine learning
Karsten Walz Jensen, Mie Andersen, Raffaele Cheula
Dislocation mediated twin boundary faceting in β-Sn
John Israel, Ian Chesser, Khanh Dang et al.
Ferroelectric Domain-Wall Motion, Stability, and Frequency Responses under Different Screening-Charge Conservation Laws
Sergei V. Kalinin