215 citations · 604 across the 9 of their papers we have counts for
10 papers
A Generalized Read-Shockley Model and Large Scale Simulations for the Energy and Structure of Graphene Grain Boundaries
Ashivni Shekhawat, Colin Ophus, Robert O. Ritchie
The grain boundary (GB) energy is a quantity of fundamental importance for understanding several key properties of graphene. Here we present a comprehensive theoretical and numeric…
Toughness and damage tolerance of fractal hierarchical metamaterials
Ashivni Shekhawat
We present a theory for the toughness, damage tolerance, and tensile strength of a class of hierarchical, fractal, metamaterials. We show that the even though the absolute toughnes…
Deformation of crystals: Connections with statistical physics
James P. Sethna, Matthew K. Bierbaum, Karin A. Dahmen +12
We give a bird's-eye view of the plastic deformation of crystals aimed at the statistical physics community, and a broad introduction into the statistical theories of forced rigid…
Toughness and Strength of Nanocrystalline Graphene
Ashivni Shekhawat, Robert O. Ritchie
Pristine monocrystalline graphene is claimed to be the strongest material known with remarkable mechanical and electrical properties. However, graphene made with scalable fabricati…
Large-Scale Experimental and Theoretical Study of Graphene Grain Boundary Structures
Colin Ophus, Ashivni Shekhawat, Haider I Rasool +1
We have characterized the structure of 176 different single-layer graphene grain boundaries using 1000 experimental HRTEM images using a semi-automated structure processing rout…
Improving extreme value statistics
Ashivni Shekhawat
The rate of uniform convergence in extreme value statistics is non-universal and can be arbitrarily slow. Further, the relative error can be unbounded in the tail of the approximat…
Fracture strength: Stress concentration, extreme value statistics and the fate of the Weibull distribution
Zsolt Bertalan, Ashivni Shekhawat, James P. Sethna +1
The fracture strength distribution of materials is often described in terms of the Weibull law which can be derived by using extreme value statistics if elastic interactions are ig…
From damage percolation to crack nucleation through finite size criticality
Ashivni Shekhawat, Stefano Zapperi, James P. Sethna
We present a unified theory of fracture in disordered brittle media that reconciles apparently conflicting results reported in the literature. Our renormalization group based appro…
Fracture strength of disordered media: Universality, interactions and tail asymptotics
Claudio Manzato, Ashivni Shekhawat, Phani K. V. V. Nukala +3
We study the asymptotic properties of fracture strength distributions of disordered elastic media by a combination of renormalization group, extreme value theory, and numerical sim…
Dielectric breakdown and avalanches at non-equilibrium metal-insulator transitions
Ashivni Shekhawat, Stefanos Papanikolaou, Stefano Zapperi +1
Motivated by recent experiments on the finite temperature Mott transition in VO2 films, we propose a classical coarse-grained dielectric breakdown model where each degree of freedo…