Hostname: page-component-7c8c6479df-995ml Total loading time: 0 Render date: 2024-03-28T20:52:23.504Z Has data issue: false hasContentIssue false

Plastic Dynamics and Brittle vs. Ductile Failure in Noncrystalline Solids

Published online by Cambridge University Press:  15 February 2011

M.L. Falk*
Affiliation:
Department of Physics, University of California, Santa Barbara, CA 93106
Get access

Abstract

We simulate fracture in two amorphous solids with different inter-particle potentials. These small changes in potential result in significant changes in dissipation near the crack tip. While one might expect these effects to arise from a change in flow stress, measurements reveal this is not the case. To understand why, we consider the relationship between crack dynamics, rate-dependent plasticity, and molecular-level structures in the glassy solid. In particular we discuss the macro-scale continuum theory of dynamic brittle fracture in a viscoplastic solid developed by Freund and Hutchinson and the meso-scale theory of viscoplasticity proposed by Falk and Langer. We further consider a simplified model on the molecular scale as a first-step toward the construction of first-principles models of dynamic plasticity and the brittle ductile transition in noncrystalline materials.

Type
Research Article
Copyright
Copyright © Materials Research Society 1999

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. Rice, J.R. and Thomson, R., Phil. Mag, 29, 73 (1974);Google Scholar
Rice, J.R., J. Mech. Phys. Solids, 40, 239 (1992);Google Scholar
Zhou, S.J., Carlsson, A.E., and Thomson, R., Phys. Rev. Lett., 72, 852 (1994).Google Scholar
2. Gilbert, C.J., Ritchie, R.O., and Johnson, W.L., App. Phys. Lett., 71, 476 (1997);Google Scholar
Wu, T.-W. and Spaepen, F., Phil. Mag. B, 61,739 (1990).Google Scholar
3. Franks, G.V. and Lange, F.F., J. Am. Ceramic Soc., 79, 3161 (1996).Google Scholar
4. Falk, M.L., cond-mat/9803058, (unpublished).Google Scholar
5. Freund, L.B. and Hutchinson, J.W., J. Mech. Phys. Solids, 33, 169 (1985).Google Scholar
6. Falk, M.L. and Langer, J.S., Phys. Rev. E, 57, 7192 (1998).Google Scholar
7. Srolovitz, D., Maeda, K., Vitek, V., and Egami, T., Phil. Mag. A, 44, 847 (1981);Google Scholar
Srolovitz, D., Vitek, V., and Egami, T., Acta metall., 31, 335 (1983).Google Scholar