Long-range interactions in 1D heterogeneous solids with uncertainty
- Autori: Muscolino, G; Sofi, A; Zingales, M
- Anno di pubblicazione: 2013
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Interval field; Long-range interactions; Non-local elasticity; Upper bound and lower bound
- OA Link: http://hdl.handle.net/10447/74528
Abstract
In this paper, the authors aim to analyze the response of a one-dimensional non-local elastic solid with uncertain Young's modulus. The non-local effects are represented as long-range central body forces between non-adjacent volume elements. Following a non-probabilistic approach, the fluctuating elastic modulus of the material is modeled as an interval field. The analysis is conducted resorting to a novel formulation that confines the overestimation effect involved in interval models. Approximate closed-form expressions are derived for the bounds of the interval displacement field