TY - EJOU AU - Shen, gping AU - Atluri, S. N. TI - A Tangent Stiffness MLPG Method for Atom/Continuum Multiscale Simulation T2 - Computer Modeling in Engineering \& Sciences PY - 2005 VL - 7 IS - 1 SN - 1526-1506 AB - 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. KW - Molecular mechanics KW - Multiscale method KW - continuum mechanics KW - MLPG DO - 10.3970/cmes.2005.007.049