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Workshop on Mathematical Models for Pattern Formation

Workshop on Mathematical Models For Pattern Formation

 

Center for Nonlinear Analysis
Carnegie Mellon University, Pittsburgh, PA
March 8-10, 2019

 

https://events.mcs.cmu.edu/cnaworkshop2019/

 

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Bond-level Deformation Gradients and Energy Averaging in Peridynamics

This is the preprint of an article that will appear in JMPS (https://doi.org/10.1016/j.jmps.2017.09.015)

Bond-level Deformation Gradients and Energy Averaging in Peridynamics

Timothy Breitzman (Air Force Research Laboratory), Kaushik Dayal (Carnegie Mellon University)

Abstract

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Leading-Order Nonlocal Kinetic Energy in Peridynamics for Consistent Energetics and Wave Dispersion

This is the preprint of an article that will appear in JMPS (https://doi.org/10.1016/j.jmps.2017.05.002)

Leading-Order Nonlocal Kinetic Energy in Peridynamics for Consistent Energetics and Wave Dispersion

by Kaushik Dayal, Carnegie Mellon University

Abstract

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Prof. Kaushik Bhattacharya to receive the Warner T. Koiter Medal

Kaushik Bhattacharya, Howell N. Tyson, Sr., Professor of Mechanics and Professor of Materials Science as well as Executive Officer for Mechanical and Civil Engineering at the California Institute of Technology, has been selected to receive the American Society of Mechanical Engineers (ASMEWarner T. Koiter Medal.

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Symposium on Mechanics of Phase Transforming and Multifunctional Materials at SES 2013 (Brown University, July 28 - 31)

Call for Abstracts:

 

Symposium on the Mechanics of Phase Transforming and Multifunctional Materials

at the

2013 SES Conference at Brown University (Providence, Jul 28-31)

 

 

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Symmetry-Adapted Phonon Analysis of Nanotubes

This is the preprint of an article that has appeared in JMPS (http://dx.doi.org/10.1016/j.jmps.2012.09.008)

Symmetry-Adapted Phonon Analysis of Nanotubes

by Amin Aghaei and Kaushik Dayal, Carnegie Mellon University; Ryan Elliott, University of Minnesota

 

Abstract

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Real-space phase-field simulation of piezoresponse force microscopy accounting for stray electric fields

This is the preprint of an article that will appear in Modelling and Simulation in Materials Science and Engineering (doi:10.1088/0965-0393/20/3/035021).

Real-space phase-field simulation of piezoresponse force microscopy accounting for stray electric fields

by Lun Yang and Kaushik Dayal, Carnegie Mellon University

 

Abstract

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Microstructure and Stray Electric Fields at Surface Cracks in Ferroelectrics

This is the preprint of an article that will appear in the International Journal of Fracture (DOI: 10.1007/s10704-011-9670-2).

Microstructure and Stray Electric Fields at Surface Cracks in Ferroelectrics

by Lun Yang and Kaushik Dayal, Carnegie Mellon University

 

Abstract

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

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

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

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

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

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

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Design of viscometers corresponding to a universal molecular simulation method

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:

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Symposium on Mechanics of Phase Transforming and Multifunctional Materials at SES 2011 (Chicago, Oct 12-14)

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)

 

 

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

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

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Formulation of Phase-Field Energies for Microstructure in Complex Crystal Structures

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

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Nonequilibrium molecular dynamics for bulk materials and nanostructures

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

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USNCCM-10 Minisymposium on Multi-scale computation and modeling of defects in materials

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)

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Kinetics of phase transformations in the peridynamic formulation of continuum mechanics

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.

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