6533b82afe1ef96bd128cc24
RESEARCH PRODUCT
One-dimensional heterogeneous solids with uncertain elastic modulus in presence of long-range interactions: Interval versus stochastic analysis
Giuseppe MuscolinoAlba SofiMassimiliano Zingalessubject
Body forcedecompositionRandom fieldNon-local elasticityStochastic processMechanical EngineeringMathematical analysisKarhunen-Loeve decompositionModulusInterval (mathematics)Karhunen–LoèveComputer Science ApplicationsInterval arithmeticResponse statisticsNon-local elasticity; Interval field; Random field; Karhunen–Loève; decomposition; Upper bound and lower bound; Response statisticsModeling and SimulationDisplacement fieldRandom fieldGeneral Materials ScienceInterval fieldUpper bound and lower boundSettore ICAR/08 - Scienza Delle CostruzioniElastic modulusCivil and Structural EngineeringMathematicsdescription
The analysis of one-dimensional non-local elastic solids with uncertain Young's modulus is addressed. Non-local effects are represented as long-range central body forces between non-adjacent volume elements. For comparison purpose, the fluctuating elastic modulus of the material is modeled following both a probabilistic and a non-probabilistic approach. To this aim, a novel definition of the interval field concept, able to limit the overestimation affecting ordinary interval analysis, is introduced. Approximate closed-form expressions are derived for the bounds of the interval displacement field as well as for the mean-value and variance of the stochastic response.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-06-01 |