This is the preprint of an article that will appear in the Journal of Applied Physics, 111:014106, 2012. (doi:10.1063/1.3674320).

Free Surface Domain Nucleation in a Ferroelectric under an Electrically Charged Tip

by Lun Yang and Kaushik Dayal, Carnegie Mellon University

Abstract

This is the preprint of an article that will appear in the Journal of Computational Physics (DOI: 10.1016/j.jcp.2011.07.001).

A Completely Iterative Method for the Infinite Domain Electrostatic Problem with Nonlinear Dielectric Media

by Lun Yang and Kaushik Dayal, Carnegie Mellon University

Abstract

This is the preprint of an article that will appear in Acta Materialia (DOI: 10.1016/j.actamat.2011.07.014)

Effect of Lattice Orientation, Surface Modulation, and Applied Fields on Free-Surface Domain Microstructure in Ferroelectrics

by Lun Yang and Kaushik Dayal, Carnegie Mellon University

Abstract

This is the preprint of an article that has appeared in the Journal of Fluid Mechanics, 691:461-486, 2012 (doi:10.1017/jfm.2011.483)

Design of viscometers corresponding to a universal molecular simulation method

by Kaushik Dayal (Carnegie Mellon) and Richard D. James (Minnesota)

Abstract:

Call for Abstracts:

Symposium on the Mechanics of Phase Transforming and Multifunctional Materials

at the

2011 SES Conference at Northwestern University (Chicago, Oct 12-14)

This is a preprint of an article that will appear in the Philosophical Magazine Letters.

Linear Instability Signals the Initiation of Motion of a Twin Plane Under Load

by Chang-Tsan Lu and Kaushik Dayal

Abstract

This is a preprint of the article: APPLIED PHYSICS LETTERS 96, 081916 2010

Formulation of Phase-Field Energies for Microstructure in Complex Crystal Structures
by Lun Yang and Kaushik Dayal

Abstract

This is a preprint that of an article that will appear in J. Mech. Phys. Solids. (doi: 10.1016/j.jmps.2009.10.008).  Nonequilibrium molecular dynamics for bulk materials and nanostructures,
by Kaushik Dayal and Richard D. James

Call for Abstracts:

Symposium on the Mechanics of Phase Transformations

at the

2009 ASCE-ASME-SES Conference on Mechanics and Materials in Blacksburg VA, June 24-27 2009

10th US National Congress on Computational Mechanics

July 16-19, 2009. Columbus, Ohio

Minisymposium on Multi-scale computation and modeling of defects in materials

(Symposium 2.2.6)

A structural phase transformation is the transformation of a crystal structure due to the displacement of atoms, with no diffusion and no changes in the relative positions. These transformations are often induced by changes in temperature; however stress, electromagnetic fields and other loads can also induce transformations. The schematic below shows a cubic to tetragonal transformation. The crystal is cubic at high temperature and tetragonal at low temperature. Due to the symmetry of the cube stretching along any of its axes, there are 3 possible variants or twins at low temperature.

Abstract 

We study the kinetics of phase transformations in solids using the peridynamic formulation of continuum mechanics. The peridynamic theory is a nonlocal formulation that does not involve spatial derivatives, and is a powerful tool to study defects such as cracks and interfaces.