Quasicontinuum method

V.B. Shenoy et al An adaptive finite element approach to atomic-scale mechanics-the quasicontinuum method. J. Mech. Phys. Solids 47, 611-642 (1999)... 

Another promising approach is the quasicontinuum method proposed by Tadmor et which combines the finite element method with adap-... 

Fig. 12.12. Illustration of dislocation nucleation due to nanoindentation as simulated using the quasicontinuum method (adapted from Shenoy et al. (1999)). Note the presence of a subsurface grain boundary encountered by dislocations after they are nucleated at the crystal surface and travel down the vertical slip planes.

Shenoy V. B., Miller R., Tadmor E. B., Rodney D, Phillips R. and Ortiz M., An Adaptive Finite Element Approach to Atomic-Scale Mechanics - The Quasicontinuum Method J. Mech. Phys. Solids AT, 611 (1999). 

Particle Method with the Implementation of the Quasicontinuum Method. 

Plasticity, A. Finel, D. Maziere, and M. Veron, Eds., Kluwer, Dortrecht, 2003. Mixed Atomistic/Continuum Methods Static and Dynamic Quasicontinuum Methods. 

Solids, 47, 611 (1998). An Adaptive Methodology for Atomic Scale Mechanics TTie Quasicontinuum Method. 

Matching Conditions in the Quasicontinuum Method Removal of the Error Introduced at the Interface between the Coarse-Grained and Fully Atomistic... 

Temperature Quasicontinuum Method for Multiscale Analysis of Silicon Nanostructures. 

Effects on the Mechanical Behavior of FCC Bicrystals by Quasicontinuum Method. 

Functional-Theory-Based Local Quasicontinuum Method Prediction of Dislocation Nucleation. 

Dislocation Nucleation During Nanoindentation of AlsMg by the Orbital-Free Density Functional Theory Local Quasicontinuum Method. 

A CASE STUDY IN MULTISCALE MODELING The Quasicontinuum Method... 

There are many articles on the quasicontinuum method, but the interested reader is invited to consult www.qcmethod.com, which has an extensive list of papers dealing with this method. 

The main point of this example is to reveal the kind of thinking now being nsed to address complex problems, such as material deformation. As exemplified by the quasicontinuum method, the underlying microscopic physics of bond stretching and bond breaking is treated exphcitly where needed, and only approximately elsewhere. 

MiUer P-E, Tadmor EB The quasicontinuum method overview, applications and current directions, J Computer-Aided Mater Des 9 203-239, 2002. 

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