phone 626.395.4760
Research interests at a glance

A brief overview of the things that keep me occupied in the office.


A common deformation mechanism in hexagonal close-packed materials, twinning can be crystallographically described as a rotation/reflection of the crystal lattice on one side of a planar discontinuity with respect to the other. Our objective is to understand the circumstances under which they form and how they affect macroscopic material properties, with the ultimate goal of opening new avenues for computational design of alloys.


Density functional theory, first formulated by Kohn and Sham, is a means for understanding electronic distribution of in a material and its associated energtic effects. Shown in recent years to be amenable to large-scale computations, we make use of this and other atomistic scale techniques to help us predict macroscopic material properties in the presence of defects.


Energy minimization is a principle that transcends length scales, and it's also something used as a means of understanding precipitation in alloys. Whether using classical phase field models or coming up with new models which draw information acquired from simulations conducted at lower length scales can give us results that are much more readily comparable to experimental observations.


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  • Twinning
    PI : K. Bhattacharya

    One-page summary of current results in twinning in HCP materials, along with some useful references.

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  • Density Functional Theory
    Collaborator : M. Ponga

    One-page summary of current applications of DFT, along with some useful references.

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  • Atomistic Simulations
    Point Contact : -

    One-page summary of current applications of molcular statics/dynamics, along with some useful references.

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  • Phase Separation
    Point Contact : -

    One-page summary of old research that I would like to get back into.


Ae/AM/CE/ME 102abc (2015-2016)

Graduate survey of topics in the mechanics of solids and structures.

  • Please consult the corresponding Piazza pages.

GSC ODEs Tutorial (Fall 2015)

Refresher course on ordinary differential equations.

  • You can download the presentation and the supplementary materials (notes including exercises and solutions and a Mathematica supplement) in my Caltech Box account.
GSC LaTeX Tutorial (Spring & Fall 2015)

This tutorial assumed the use of MiKTeX with TeXstudio on a Windows x64 machine.

  • Please have a laptop with an implementation installed.
    • Mac: The Full MacTeX package can be installed here.
    • Windows: It is recommended you install the full MiKTeX distribution (x64)(x86) but this can be a lengthy process. You may also choose to install the basics only (x64)(x86)
      • Additional installation instructions can be found here
    • Linux/Ubuntu/Debian: Unlike the others, everything can be run from the command line.
      • It is recommended you get the texlive-full package by running 'sudo apt-get install texlive-full'. Alternatively, you can just get the standard texlive package.
      • Compilation here involves executing 'pdflatex file.tex' in order to get a PDF.
  • You can download the presentation and the source files (including all examples and exercises with solutions) in my Caltech Box account.

You can find me at 1200 East California Blvd, MC 104-44, Pasadena, CA 91125.

Feel free to connect using any of the following means.

icon 1 Gates-Thomas Building, MC 104-44

icon 2626.395.3951

icon 3Mechanics of Materials Group

If not you, then who? If not now, then when?

Other Links

Miscellaneous sites of interest.

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