Titlebook: Computational Multiscale Modeling of Fluids and Solids; Theory and Applicati Martin Oliver Steinhauser Book 20081st edition Springer-Verlag

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Perspectives in Multiscale Materials Modelingrom the macroscopic world. One of the first breakthrough examples of multiscale modeling of materials was the linking of quantum and classical MD method with continuum methods to study crack propagation in silicon by Abraham et al. [40].

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https://doi.org/10.1007/978-3-642-95592-1not work for ultimately predicting the behavior of matter on any length scale, and this reason is the growing complexity of fundamental theories — based on the dynamics of particles — when they are applied to systems of macroscopic (or even microscopic) dimensions.

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Multiscale Computational Materials Sciencenot work for ultimately predicting the behavior of matter on any length scale, and this reason is the growing complexity of fundamental theories — based on the dynamics of particles — when they are applied to systems of macroscopic (or even microscopic) dimensions.

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Computational Methods on Mesoscopic/Macroscopic Scaleerials research on this scale. Rather, we will shortly discuss several typical methods and illustrate a few examples as typical applications. Often, these methods are combined with traditional finite element simulation schemes., i.e. they serve for taking into account parts of structural features into a conventional finite element analysis.

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Introductionand time scales and the implementation of efficient algorithms on computers to solve the various differential equations arising from these physical theories. In doing so we focus on the fluid and solid states of matter, albeit the numerical methods are usually neither restricted to any particular ph

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