Homogenization Methods and Multiscale Modeling

The relatively recent increase in computational power available for mathematical modeling and simulation raises the possibility that modern numerical methods can play a significant role in the analysis of materials possessing heterogeneous microstructure. Ideally, in an attempt to reduce laboratory expense, one would like to make predictions of a new material's behavior by numerical simulations, with the primary goal being to accelerate the trial and error laboratory development of novel high performance materials. This fact, among others, has motivated the work that will be presented in this monograph. Keywords: micromechanics; effective properties; multiscale modeling

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