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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(More)
Dedication To my father Qassim Alali and my mother Wedad Alali. To my wife Zubieda and my sons Ahmed and Ibrahim. To my teacher and friend Othman Malhas. ii Acknowledgments All praise is due to God, the Lord of the Worlds. I would like to express my sincere gratitude to my research advisor Professor Robert Lipton, who has been extremely generous with his(More)
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