6533b833fe1ef96bd129b9ec
RESEARCH PRODUCT
Long-range interactions in 1D heterogeneous solids with uncertainty
Alba SofiGiuseppe MuscolinoMassimiliano Zingalessubject
Body forceNon-local elasticityField (physics)non-local elasticity; long-range interactions; interval field; upper bound and lower bound.Mathematical analysisModulusGeneral MedicineInterval (mathematics)Upper and lower boundsLong-range interactionLong-range interactionsInterval field; Long-range interactions; Non-local elasticity; Upper bound and lower boundDisplacement fieldRange (statistics)Interval fieldUpper bound and lower boundSettore ICAR/08 - Scienza Delle CostruzioniElastic modulusMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 |