Stochastic finite elements: a spectral approach
Stochastic finite elements: a spectral approach
SIAM Journal on Numerical Analysis
A Generalized Interval Arithmetic
Proceedings of the International Symposium on Interval Mathemantics
Introduction to Interval Analysis
Introduction to Interval Analysis
Explicit frequency response functions of discretized structures with uncertain parameters
Computers and Structures
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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.