Numerical implementation of static Field Dislocation Mechanics theory for periodic media
R. Brenner A. J. Beaudoin P. Suquet A. Acharya
(to appear in Philosophical Magazine)
Amit Acharya's blog
Continuum mechanics of the interaction of phase boundaries and dislocations in solids
Amit Acharya Claude Fressengeas
Springer Proceedings in Mathematics and Statistics on Differential Geometry and Continuum Mechanics, Vol. 137, pages 123-165. Ed: G. Q Chen, M. Grinfeld, R.J. Knops (Proceedings of Workshop held at the Intl. Centre for Mathematical Sciences in Edinburgh, 2013.)
Dislocation motion and instability
Yichao Zhu Stephen J. Chapman Amit Acharya
(to appear in Journal of the Mechanics and Physics of Solids)
An observation on the experimental measurement of dislocation density
Amit Acharya and Robin J. Knops
(to appear in Journal of Elasticity)
The common practice of ignoring the elastic strain gradient in measurements of geometrically necessary dislocation (GND) density is critically examined. It is concluded that the practice may result in substantial errors. Our analysis points to the importance of spatial variations of the elastic strain field in relation to its magnitude in inferring estimates of dislocation density from measurements.
A fundamental improvement to Ericksen-Leslie kinematics
Hossein Pourmatin Amit Acharya Kaushik Dayal
(to appear in Quarterly of Applied Mathematics)
From Boltzmann to Euler: Hilbert's 6th Problem Revisited
Beautiful stuff!!
From Boltzmann to Euler: Hilbert's 6th Problem Revisited
Marshall Slemrod
Boundary conditions and gradient discontinuity in lower-order gradient plasticity
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
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?"
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.