Prestressed elasticity of amorphous solids

Prestress in amorphous solids bears the memory of their formation and plays a profound role in their mechanical properties.Here we develop a set of mathematical tools to investigate mechanical response of prestressed systems, using stress rather than strain as the fundamental variable.This theory allows microscopic prestress to vary for the same bond or contact configuration and is particularly convenient for nonconservative systems, such Mastectomy Bras as granular packings and jammed suspensions, where there is no well-defined reference state, invalidating conventional elasticity.Using prestressed nonconservative triangular lattices and a computational model of amorphous solids, we show that drastically different mechanical responses can show up in amorphous materials at the same density, due to nonconservative interactions which evolve over time, or different preparation protocols.

In both cases, the information is encoded in the prestress of the network and not visible at all from Ball - Field Equipment - Training Aids Team the configurations of the network in the case of nonconservative interactions.

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