A tangent stiffness MLPG method for atom/continuum multiscale simulation

Shengping Shen, S. N. Atluri

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


The main objective of this paper is to develop a multiscale method for the static analysis of a nano-system, based on a combination of molecular mechanics and MLPG methods. The tangent-stiffness formulations are given for this multiscale method, as well as a pure molecular mechanics method. This method is also shown to naturally link the continuum local balance equation with molecular mechanics, directly, based on the stress or force. Numerical results show that this multiscale method quite accurate. The tangent-stiffness MLPG method is very effective and stable in multiscale simulations. This multiscale method dramatically reduces the computational cost, but it still can provide reasonable accuracy in some regions of the model.

Original languageEnglish
Pages (from-to)49-67
Number of pages19
JournalCMES - Computer Modeling in Engineering and Sciences
Issue number1
StatePublished - Jan 2005


  • Continuum mechanics
  • MLPG
  • Molecular mechanics
  • Multiscale method


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