Journal
PHYSICAL REVIEW LETTERS
Volume 101, Issue 21, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.101.215501
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Funding
- NSF-Harvard MRSEC
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [820484] Funding Source: National Science Foundation
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We study the linear and nonlinear elastic behavior of amorphous systems using a two-dimensional random network of harmonic springs as a model system. A natural characterization of these systems arises in terms of the network coordination (average number of springs per node) relative to that of a marginally rigid network delta z: a floppy network has delta z 0, while a stiff network has delta z 0. Under the influence of an externally applied load, we observe that the response of both floppy and stiff networks is controlled by the critical point corresponding to the onset of rigidity. We use numerical simulations to compute the exponents which characterize the shear modulus, the heterogeneity of the response, and the network stiffening as a function of delta z and derive these theoretically, thus allowing us to predict aspects of the mechanical response of glasses and fibrous networks.
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