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 …
proper ferroelastic material undergoing a structural transition, using Lagrangian variations …
Dynamics of prestressed elastic lattices: Homogenization, instabilities, and strain localization
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 …
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 …
tetragonal-orthorhombic (TO) ferroelastics. Our equations of motion are derived from …
Simulations of cubic-tetragonal ferroelastics
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 …
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 …
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 …
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 …
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 …
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
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 …
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 thermodynamically consistent framework for combining nonlinear elastoplasticity and
multivariant phase-field theory is formulated at large strains. In accordance with the Clausius …
multivariant phase-field theory is formulated at large strains. In accordance with the Clausius …