Ferroelastic dynamics and strain compatibility

T Lookman, SR Shenoy, KØ Rasmussen, A Saxena… - Physical Review B, 2003 - APS
We derive underdamped evolution equations for the order-parameter (OP) strains of a
proper ferroelastic material undergoing a structural transition, using Lagrangian variations …

Dynamics of prestressed elastic lattices: Homogenization, instabilities, and strain localization

G Bordiga, L Cabras, A Piccolroaz, D Bigoni - Journal of the Mechanics and …, 2021 - Elsevier
Abstract A lattice (or 'grillage') of elastic Rayleigh rods (possessing a distributed mass
density, together with rotational inertia) organized in a parallelepiped geometry can be …

Time evolution of tetragonal-orthorhombic ferroelastics

SH Curnoe, AE Jacobs - Physical Review B, 2001 - APS
We study numerically the time evolution of two-dimensional (2D) domain patterns in proper
tetragonal-orthorhombic (TO) ferroelastics. Our equations of motion are derived from …

Simulations of cubic-tetragonal ferroelastics

AE Jacobs, SH Curnoe, RC Desai - Physical Review B, 2003 - APS
We study domain patterns in cubic-tetragonal ferroelastics by solving numerically equations
of motion derived from a Landau model of the phase transition, including dissipative …

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 …

Athermal resistance to interface motion in the phase-field theory of microstructure evolution

VI Levitas, DW Lee - Physical review letters, 2007 - APS
A method of introducing an athermal resistance to interface propagation for the Ginzburg-
Landau (GL) approach to the first-order phase transformations (PTs) is developed. It consists …

Nonlinear elasticity in proper ferroelastics

P Toledano, MM Fejer, BA Auld - Physical Review B, 1983 - APS
Nonlinear elasticity in proper ferroelastics is investigated using the Landau theory of phase
transitions. In proper ferroelastics, where certain combinations of strain components es …

Simulating acoustic emission: The noise of collapsing domains

EKH Salje, X Wang, X Ding, J Sun - Physical Review B, 2014 - APS
Microstructural changes during mechanical shear of a ferroelastic or martensitic material
and their signature in acoustic emission (AE) spectroscopy during strain-induced yield and …

[HTML][HTML] Closing the gap between atomic-scale lattice deformations and continuum elasticity

M Salvalaglio, A Voigt, KR Elder - npj Computational Materials, 2019 - nature.com
Crystal lattice deformations can be described microscopically by explicitly accounting for the
position of atoms or macroscopically by continuum elasticity. In this work, we report on the …

Polymorphism of iron at high pressure: A 3D phase-field model for displacive transitions with finite elastoplastic deformations

A Vattré, C Denoual - Journal of the Mechanics and Physics of Solids, 2016 - Elsevier
A thermodynamically consistent framework for combining nonlinear elastoplasticity and
multivariant phase-field theory is formulated at large strains. In accordance with the Clausius …