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

Muscolino, G., Sofi, A., Zingales, M. (2013). Long-range interactions in 1D heterogeneous solids with uncertainty. PROCEDIA IUTAM, 6(6), 69-78 [10.1016/j.piutam.2013.01.008].

Long-range interactions in 1D heterogeneous solids with uncertainty

ZINGALES, Massimiliano
2013-01-01

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
2013
Muscolino, G., Sofi, A., Zingales, M. (2013). Long-range interactions in 1D heterogeneous solids with uncertainty. PROCEDIA IUTAM, 6(6), 69-78 [10.1016/j.piutam.2013.01.008].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/74528
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