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