Amit Acharya, Huang Tang, Sunil Saigal, John L. Bassani, On boundary conditions and plastic strain-gradient discontinuity in lower-order gradient plasticity, Journal of the Mechanics and Physics of Solids, 52 (2004) 1793 – 1826

Jump condition for GND evolution

Submitted by Amit Acharya on Sat, 08/11/2012 - 14:34

research

Plasticity

dislocations

jump conditions

Acharya, A., Jump conditions for GND evolution as a constraint on slip transmission at grain boundaries, Philosophical Magazine, 87(8-9), 1349-1359, 2007 (see attachment)

A mathematician's take on "what is light?"

Submitted by Amit Acharya on Mon, 01/30/2012 - 01:26

Attached is an intriguing commentary on the scientific method through an example, written by my good friend, Luc Tartar. The specific example is that of trying to understand what 'light' might be, especially from a mathematician's point of view. The mathematician in this case is an extremely talented one, who also happens to actually understand a whole lot of physics and mechanics.

Incomplete thoughts on mass flux and superposed RBM

Submitted by Amit Acharya on Sat, 01/14/2012 - 17:31

Attached are some (hand-written) observations on wanting to do continuum mechanics when mass is not conserved for fixed sets of particles of the body (so, situations transcending the rocket-losing-mass type). I feel (un)comfortable with these observations, depending upon the day I think about such things.

Anisotropic yield, plastic spin, and dislocation mechanics

Submitted by Amit Acharya on Sun, 10/02/2011 - 15:37

research

Plasticity

dislocation mechanics

anisotropic yield

plastic spin

(This paper is to appear in the IUTAM Procedia on "Linking scales in computations: from microstructure to macro-scale properties," edited by Oana Cazacu)

Amit Acharya, S. Jonathan Chapman

Coupled phase transformations and plasticity as a field theory of deformation incompatibility

Submitted by Amit Acharya on Tue, 08/30/2011 - 19:58

(to appear in International Journal of Fracture; Proceedings of the 5th Intl. Symposium on Defect andMaterial Mechanics)

Amit Acharya and Claude Fressengeas

Time-averaged coarse variables for multiscale dynamics

Submitted by Amit Acharya on Tue, 08/30/2011 - 01:31

research

multiscale modeling

singular perturbations

time-averaging

(to appear in Quarterly of Applied Mathematics)

by Marshall Slemrod and Amit Acharya

Given an autonomous system of Ordinary Diff erential Equations without an a priori split into slow and fast components, we defi ne a strategy for producing a large class of `slow' variables (constants of fast motion) in a precise sense. The equation of evolution of any such slow variable is deduced. The strategy is to rewrite our system on an in finite dimensional "history" Hilbert space X and defi ne our coarse observation as a functional on X.