2016/01/13 by Daniel M. Sussman, Sussman, Daniel M., Carl P. Goodrich +3
Materials Science · Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Material Dynamics and Properties #Protein Structure and Dynamics #Force Microscopy Techniques and Applications
paper · pdf · doi:10.48550/arxiv.1601.03416
States of self stress, organizations of internal forces in many-body systems that are in equilibrium with an absence of external forces, can be thought of as the constitutive building blocks of the elastic response of a material. In overconstrained disordered packings they have a natural mathematical correspondence with the zero-energy vibrational modes in underconstrained systems. While substantial attention in the literature has been paid to diverging length scales associated with zero- and finite-energy vibrational modes in jammed systems, less is known about the spatial structure of the states of self stress. In this work we define a natural way in which a unique state of self stress can be associated with each bond in a disordered spring network derived from a jammed packing, and then investigate the spatial structure of these bond-localized states of self stress. This allows for an understanding of how the elastic properties of a system would change upon changing the strength or even existence of any bond in the system.