Modeling Fracture in Nano Materials
The recent surging interest in nanotechnology is providing a strong impetus to understanding fracture processes in nanoscale materials. There are open challenges because many classical concepts of fracture mechanics are no longer applicable as the characteristic dimension of a structure at nanoscale becomes comparable to or smaller than the size of the cohesive zone near a crack tip. In this paper, we apply a top down approach, the recently developed Virtual-Internal-Bond (VIB) method to investigating fracture of such nano-materials. We demonstrate that, at a critical length scale typically on the order of nanometer scale, the fracture mechanism changes from the classical Gri th fracture to one of homogeneous failure near the theoretical strength of solids.
Key wordsNanomaterial size effect fracture modeling cohesive zone
Unable to display preview. Download preview PDF.
- Vaia R A, Giannelis E P. (2001) Polymer nanocomposites: status and opportunities, MRS Bulletin. 26, 394–401.Google Scholar
- Born M and Huang K (1956) Dynamical theories of crystal lattices, Clarendon, Oxford Press.Google Scholar
- Huang K (1950) On the atomic theory of elasticity, Proceedings of the Royal Society of London. A203, 178–194.Google Scholar
- Tadmor E B, Ortiz M, Phillips R (1996) Quasicontinuum analysis of defects in solids, Phil. Mag. A. 73, 1529–63.Google Scholar