Heterogeneous Materials I

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Focusing on the intricate relationship between rigidity and elasticity, this book delves into discrete approaches to elastic networks, particularly in biological materials. It explores the number of elastic moduli in lattices, numerical simulations, and the derivation of elastic networks from continuum elasticity, highlighting models like the Born model and its limitations. The text further examines rigidity percolation, its correlation lengths, and phase transitions, while also discussing central-force networks and bond-bending forces, offering a comprehensive understanding of elastic properties in various contexts.