On the computation of crystalline microstructure

M Luskin - Acta numerica, 1996 - cambridge.org
Microstructure is a feature of crystals with multiple symmetry-related energy-minimizing
states. Continuum models have been developed explaining microstructure as the mixture of …

Vibrational properties of shape-memory alloys

A Planes, L Mañosa - Solid state physics, 2001 - Elsevier
Publisher Summary This chapter discusses vibrational properties of shape-memory alloys.
The crystal structure of a given material depends on its energy and also its entropy, which …

Disorder-driven pretransitional tweed pattern in martensitic transformations

S Kartha, JA Krumhansl, JP Sethna, LK Wickham - Physical Review B, 1995 - APS
Defying the conventional wisdom regarding first-order transitions, solid-solid displacive
transformations are often accompanied by pronounced pretransitional phenomena …

Quantum annealing for microstructure equilibration with long-range elastic interactions

R Sandt, Y Le Bouar, R Spatschek - Scientific Reports, 2023 - nature.com
We demonstrate the use and benefits of quantum annealing approaches for the
determination of equilibrated microstructures in shape memory alloys and other materials …

Elastic energy driven multivariant selection in martensites via quantum annealing

LC P. dos Santos, T Hang, R Sandt, M Finsterbusch… - Physical Review …, 2024 - APS
We demonstrate the use of quantum annealing for the selection of multiple martensite
variants in a microstructure with long-range coherency stresses and external mechanical …

Do** effects of point defects in shape memory alloys

Y Yang, D Xue, R Yuan, Y Zhou, T Lookman, X Ding… - Acta materialia, 2019 - Elsevier
Do** point defects into shape memory alloys (SMAs) influences their transformation
behaviors and mechanical properties. We propose a general Landau free energy model to …

Hierarchical pattern formation in elastic materials

A Saxena, Y Wu, T Lookman, SR Shenoy… - Physica A: Statistical …, 1997 - Elsevier
We study hierarchical structures such as branched twins in elastic materials based on a
model of martensitic materials in which hierarchical twinning near the habit plane (austenite …

Internal variables and fine-scale oscillations in micromagnetics

RD James, S Müller - Continuum Mechanics and Thermodynamics, 1994 - Springer
We derive the field energy of micromagnetics by computing the limiting energy of a lattice of
dipoles as a typical lattice parameter goes to zero. Different limiting energies are obtained …

Effects of disorder in ferroelastics: A spin model for strain glass

R Vasseur, T Lookman - Physical Review B—Condensed Matter and Materials …, 2010 - APS
We demonstrate that a strain pseudospin model for martensitic alloys predicts a glass phase
in the presence of disorder, consistent with recent experiments on binary and ternary alloys …

Phase-segregated glass formation linked to freezing of structural interface motion

PA Sharma, S El-Khatib, I Mihut, JB Betts, A Migliori… - Physical Review B …, 2008 - APS
A potentially new kind of glass transition may exist among phase-separated regions in La
0.215 Pr 0.41 Ca 3/8 MnO 3. We have observed a very large dam** of ultrasonic waves in …