Multiscale Atomistic-to-Continuum Reduced Models for Micromechanical Systems

E Marenic and A Ibrahimbegovic, COMPUTATIONAL METHODS FOR SOLIDS AND FLUIDS: MULTISCALE ANALYSIS, PROBABILITY ASPECTS AND MODEL REDUCTION, 41, 215-243 (2016).

DOI: 10.1007/978-3-319-27996-1_9

In this work we discuss the multiscale reduced models and computational strategy for micromechanical systems. The main focus is upon the interplay between the fine-scale atomistic model and the corresponding model at coarse-scale reduced by homogenization and placed within the continuum mechanics framework. Two mainstream multiscale methods, the quasi-continuum and bridging domain, are compared and brought to bear on the chosen model reduction strategy. Consequently, these two methods are further advanced from their standard formulation to a unified coupling and implementation strategy. An illustrative example of a defect-damaged grahene sheet is presented in order to confirm an excellent performance of such a multiscale solution strategy.

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