Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-30T23:30:47.327Z Has data issue: false hasContentIssue false

Atomistic Studies of Crack Branching at Bimaterial Interfaces: Preliminary Results

Published online by Cambridge University Press:  01 February 2011

Sriram Krishnan
Affiliation:
[email protected], Massachusetts Institute of Technology, Department of Mechanical Engineering, 77 Mass. Ave, Cambridge, 02139, United States
Markus J Buehler
Affiliation:
[email protected], Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 77 Mass. Ave, Room 1-272, Cambridge, MA, 02139, United States
Get access

Abstract

In this paper, we summarize recent progress in applying atomistic studies of cracking along interfaces of dissimilar materials under quasi-static crack growth conditions. We consider two linear-elastic material strips in which atoms interact with harmonic potentials, with a different spring constant in each layer leading to a soft and a stiff strip. The two strips are bound together with a tunable potential, which allows to independently control the interface and bulk fracture surface energy. An initial crack serves as initiation point for the failure. This provides a model system to investigate how elastic properties and interface strength interplay and determine the crack growth direction, leading to either interfacial cracking or branching into the film material. We observe a clear transition to interface failure when the interface fracture energy is less than 80% of the bulk fracture energy. We further find that branching in the film material is controlled by the elastic properties of the film material, suggesting interfacial cracking for extremely soft films and branching for stiffer films. Analysis of the virial stress field around the crack suggests that the circumferential hoop stress controls the branching behavior.

Type
Research Article
Copyright
Copyright © Materials Research Society 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Gao, H.J., Huang, Y., Abraham, F.F. Continuum and Atomistic Studies of Intersonic Crack Propagation, J. Mech. Phys. Solids 49, 21132132 (2001).Google Scholar
2. Buehler, M.J., Abraham, F.F., Gao, H., Hyperelasticity Governs Dynamic Fracture at a Critical Length Scale, Nature 49, 441446 (2003)Google Scholar
3. Buehler, M.J., Gao, H., Huang, Y., Continuum and Atomistic Studies of Suddenly Stopping Supersonic Cracks, Computational Materials Science 28, 385408 (2003).Google Scholar
4. Abraham, F.F., Brodbeck, D., Rudge, , Instability Dynamics of Fracture: A Computer Simulation Investigation W.E., Xu, X. Phys. Rev. Lett. 73, 272275 (1994).Google Scholar
5. Rice, J.R., Sih, G.C. Plane Problems of Cracks in Dissimilar Media. Trans. of the ASME 32 (2), 418423 (1965)Google Scholar
6. England, A.H. A Crack Between Dissimilar Media. J. Appl. Mech. 32, 400402 (1965)Google Scholar
7. Rice, J.R. Elastic fracture mechanics concepts for interfacial cracks. Trans. of the ASME 55 (1), 98103 (1988)Google Scholar
8. Williams, M.L. The stresses around a fault or crack in dissimilar media. Bull. Seismol. Soc. America 49, 199204 (1959).Google Scholar
9. Gersappe, D., Robbins, M. O., Where do polymer adhesives fail?. Europhys. Lett, 48 (2), pp. 150155 (1999).Google Scholar