Crack Paths 2012

C O N C L U S I O N S

Molecular dynamics simulations have shown that cracked layers of small enough size

react differently than macroscopic components upon loading. In this investigation,

displacement controled loading of cracked layers of Cu, with layer thicknesses of a few

nanometers, were considered. The stress field obtained from the M Dsimulations were

compared to L E F Mcontinuum solutions.close to the crack front.

The stress fields as determined from M Dand L E F Mcontinuum solutions were, in

this study, shown to increasingly deviate as the layer thickness decreased. Evenso, the

general appearence of the stress dstributions was kept. The influence from boundaries

increased markedly as the layer thickness decreased.

R E F E R E N C E S

1.

B. Ilic, Y. Yang and H.G. Craighead: Virus detection using nanoelectromechanical

devices, J. Appl. Phys. Vol 85-2604 (2004)

2.

D.H. Reich, M. Tanase, A. Hultgern, L.A. Bauer, C.S. Chen et al.: Biological

applications of multifunctional magnetic nanowires, J. Appl. Phys. Vol. 93-7275

(2003)

3. P. Olsson, S. Melin and C. Persson: Atomistic simulations of tensile and bending

properties of single-crystal bcc iron nanobeams, Phys. Rev. B 76, 224112 (2007)

4. P. Olsson and S. Melin, in Atomistic studies of the elastic properties of metallic B C C

nanowires and films, edited by R Pyrz and J C Rauhe I U T A MSymposium on

Modelling Nanomaterials and Nanosystems (2008), p.221-230

5. J.E. Jones: On the Determination of Molecular Fields, Proc. R. Soc. Lond. A Vol.

106 (1924), p. 463-477

6. D.C. Rapaport: The Art of Molecular Dynamics (Cambridge University Press, U K

2004).

7. M. Zhou: A new look at the atomic level virial stress: on continuum-molecular

system equivalence, Proc. R. Soc. Lond. A Vol 459 (2003), p. 2347-2392

8. G. Ziegenhain, A. Hartmaier and H.M. Urbassek: Pair vs many-body potentials:

Influence on elastic and plastic behavior in nanoindentation of fcc metals, J. Mech

Phys. Solids Vol.57, 1514-1526, (2009)

9. D.R. Askeland: The Science and Engineering of Materials (Chapman & Hal,l

UK/China 1996).

10.

M. Isida: Effect of width and length on stress intensity factors of internally cracked

plates under various boundary conditions, Int. J. Fract. Mech. 7 (1971) p 301.

718