Sum Rules for the Quasi-Static and Visco-Elastic Response of Disordered Solids at Zero Temperature

By Anaël Lemaître, C. Maloney. 2004

172 citations recorded by the source corpus.

We study exact results concerning the non-affine displacement fields observed by Tanguy et al. [Europhys. Lett. 57, 423 (2002), Phys. Rev. B 66, 174205 (2002)] and their contributions to elasticity. A normal mode analysis permits us to estimate the dominant contributions to the non-affine corrections to elasticity and relate these corrections to the correlator of a fluctuating force field. We extend this analysis to the visco-elastic dynamical response of the system.

Subfields: Geophysics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8a40dd180b0e4ef89b5998c7941fb68e78c533d3

Citations in the corpus

• Deformation of metallic glasses: Recent developments in theory, simulations, and experiments (2016, unknown): “This results in a negative contribution to the elastic modulus, reducing it relative to the Born contribution alone [50].”