An explicit mechanical interpretation of Eringen non-local elasticity by means of fractional calculus
- Authors: Carpinteri, A; Cornetti, P; Sapora, A; Di Paola, M; Zingales, M
- Publication year: 2009
- Type: Proceedings
- Key words: Non-local elasticity; fractional calculus; point-spring models
- OA Link: http://hdl.handle.net/10447/42035
Abstract
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.