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A multiscale component mode synthesis approach for dynamic analysis of nanostructures. (English) Zbl 1352.74222

Summary: A component mode synthesis-based multiscale approach is developed for dynamic analysis of nanostructures. The multiscale approach decomposes a nanostructure into atomistic and continuum regions and employs vibrational modes to connect the regions of different scales, enabling a reflectionless atomistic-to-continuum coupling. Dynamic response of the coupled atomistic and continuum regions is computed concurrently using a common time scale. Numerical results indicate that the multiscale approach has significant condensation and scaling advantages, and it is well suited for modeling and simulation of large and complex systems.

MSC:

74M25 Micromechanics of solids
74A60 Micromechanical theories
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