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Energy conservation of atomistic/continuum coupling. (English) Zbl 1183.74011
Summary: The efficient and accurate coupling of two dissimilar domains presents a major challenge, especially when wave propagation is considered. Overlap coupling methods are promising in the sense that spurious wave reflections can be avoided and loss of energy due to the coupling scheme can be minimized. However, the conservation properties and the proper physical representation of the forces depend on the precise formulation of the algorithm for coupling such dissimilar models. This is unlike that of coupling similar domains. We will demonstrate this with the help of numerical studies in continuum-to-continuum coupling and continuum-to-discrete coupling.
MSC:
74A25Molecular, statistical, and kinetic theories (mechanics of deformable solids)
74S05Finite element methods in solid mechanics