A New Method for Stress and Deformation Analysis from Nano to Macro Dimensional Scales


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This paper presents a concurrent multiscale method for the stress analysis of solids using a coupled meshless and molecular dynamic analysis. A new transition algorithm using transition particles was employed to ensure the compatibility of both displacements and their gradients. The equivalent continuum strain energy density was obtained locally based on the atomic potential and Cauchy-Born rule, and hence plasticity can be easily handled in not only the atomic domain but also the continuum domain. Numerical examples demonstrated that the present multiscale technique has a promising potential of application to multiscale systems subjected to deformation.



Key Engineering Materials (Volumes 340-341)

Edited by:

N. Ohno and T. Uehara




Y. T. Gu and L. C. Zhang, "A New Method for Stress and Deformation Analysis from Nano to Macro Dimensional Scales", Key Engineering Materials, Vols. 340-341, pp. 955-960, 2007

Online since:

June 2007




[1] P.C. Gehlen, G.T. Hahn and M.F. Kanninen, Scr. Meter., 6 (1972), pp.1087-1090.

[2] R.E. Rudd and J.Q. Broughton, Physica Status Solidi B, 217 (2000), pp.251-291.

[3] F. Abraham, J. Broughton, N. Bernstein and E. Kaxiras, Europhys. Lett. 44 (1998), pp.783-787.

[4] Y.T. Gu (2005), International Journal of Computational Methods (IJCM) (Special issue, eds.: Gu and Worsak) Vol. 2 (2005), pp.477-515.

[5] G.R. Liu and Y.T. Gu, An introduction to Meshfree methods and theirs programming (Springer, Berlin 2005).

[6] S.P. Shen and S.N. Atluri, CMES-Computer Modeling in Engineering and Science, 5(3)(2004), pp.235-255.

[7] H.Y. Liang and G.R. Liu in: Proceeding for the first International Conference on Computational Methods ICCM (CD-Disk), Singapore, (2004).

[8] L.C. Zhang and H. Tanaka, Wear, 211(1997), pp.44-53.

[9] S.P. Xiao and T. Belytschko, Computer Methods in Applied Mechanics and Engineering, 193 (2004), pp.1645-1669.

[10] Y.T. Gu and L.C. Zhang, submitted to Multiscale Modeling & Simulation (2006).

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