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A Tangent Stiffness MLPG Method for Atom/Continuum Multiscale Simulation

Shengping Shen1, S. N. Atluri1
Center for Aerospace Research & Education
University of California at Irvine
5251 California Avenue, #140
Irvine, CA 92617, USA

Computer Modeling in Engineering & Sciences 2005, 7(1), 49-68. https://doi.org/10.3970/cmes.2005.007.049

Abstract

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.

Keywords

Molecular mechanics, Multiscale method, continuum mechanics, MLPG.

Cite This Article

Shen, S., Atluri, S. N. (2005). A Tangent Stiffness MLPG Method for Atom/Continuum Multiscale Simulation. CMES-Computer Modeling in Engineering & Sciences, 7(1), 49–68.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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