Long-range interactions in 1D heterogeneous solids with uncertainty

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. (C) 2013 The Authors. Published by Elsevier B. V. Selection and/or peer review under responsibility of Karlsruhe Institute of Technology (KIT) Institute of the Engineering Mechanics.