Multiscale Analysis of Heterogeneous Media in the Peridynamic Formulation
MINNESOTA UNIV MINNEAPOLIS INST FOR MATHEMATICS AND ITS APPLICATIONS
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A rigorous multiscale method is presented for modeling the dynamics of fiber-reinforced composite structures using the peridynamic formulation. The multiscale analysis delivers a new multiscale numerical method that captures the dynamics at structural length scales while at the same time is capable of resolving the dynamics at the length scales of the fiber reinforcement. The new numerical method is able extract this information at a cost that is anticipated to be far less than the direct numerical simulation of structural components made from multiple plys containing thousands of fibers.
- Operations Research