Continuum and atomistic models of strongly coupled diffusion, stress, and solute concentration

A nanoscale mechanism of hydrogen embrittlement in metals

“…Thus the H kinetics in and around the nanohydride does not influence the analysis here. We have examined the concentration-dependent H diffusion in another study [71] where H concentration effects are important, but can conclude that our use of the dilute limit here is valid for the current problem.…”

Size-dependent fracture of Si nanowire battery anodes

“…Moreover, they Cheng and Verbrugge (2008) suggested that surface tension and modulus could play an important role at the nanometer length scale. Haftbaradaran et al (2011) have considered various fundamental features of highly nonlinear behavior associated with diffusion at high solute concentrations and compared it with atomistic simulation.…”

Cohesive modeling of crack nucleation in a cylindrical electrode under axisymmetric diffusion induced stresses

“…In the past, numerous models have been developed to describe the insertion/extraction of Li in an electrode as diffusion of interstitial atoms in a host material (García et al, 2005;Christensen and Newman, 2006a,b;Zhang et al, 2007Zhang et al, , 2008Verbrugge, 2008, 2009;Deshpande et al, 2010a,b;Haftbaradaran et al, 2010Haftbaradaran et al, , 2011Yang, 2010), a subclass of problems more broadly referred to as the diffusion induced stresses (DIS) (Prussin, 1961;Li, 1978;Yang, 2005). In comparison, relatively few studies have explicitly considered crack nucleation under DIS.…”

“…Following an analogy 0020-7683/$ -see front matter Ó 2011 Elsevier Ltd. All rights reserved. doi:10.1016/j.ijsolstr.2011.04.005 between DIS (Zhang et al, 2007Verbrugge, 2008, 2009;Deshpande et al, 2010a,b;Haftbaradaran et al, 2010Haftbaradaran et al, , 2011Yang, 2010) and thermal stresses, the transport of solute in the cylinder is modeled as a concentration driven diffusion process along the radial (r) direction of the electrode (Crank, 1980),…”