6533b834fe1ef96bd129d2f1
RESEARCH PRODUCT
An explicit mechanical interpretation of Eringen non-local elasticity by means of fractional calculus
A CarpinteriP CornettiA SaporaMario Di PaolaMassimiliano Zingalessubject
fractional calculuNon-local elasticitypoint-spring modelsSettore ICAR/08 - Scienza Delle Costruzionidescription
If the attenuation function of strain is expressed as a power law, the formalism of fractional calculus may be used to handle Eringen non-local elastic model. Aim of the present paper is to provide a mechanical interpretation to this non-local fractional elastic model by showing that it is equivalent to a discrete, point-spring model. A one-dimensional geometry is considered; static, kinematic and constitutive equations as well as the proper boundary conditions are derived and discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 |