One-dimensional heterogeneous solids with uncertain elastic modulus in presence of long-range interactions: Interval versus stochastic analysis
Articolo
Data di Pubblicazione:
2013
Citazione:
One-dimensional heterogeneous solids with uncertain elastic modulus
in presence of long-range interactions: Interval versus stochastic
analysis / Muscolino, G., Sofi, A., Zingales, M.. - In: COMPUTERS & STRUCTURES. - ISSN 0045-7949. - 122:(2013), pp. 217-229. [10.1016/j.compstruc.2013.03.005]
Abstract:
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 ele-
ments. 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.
Non-local effects are represented as long-range central body forces between non-adjacent volume ele-
ments. 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.
Tipologia CRIS:
1.1 Articolo in rivista
Keywords:
Non-local elasticity, Interval field, Random field, Karhunen–Loève decomposition, Upper bound and lower bound, Response statistics
Elenco autori:
Muscolino, G; Sofi, Alba; Zingales, M
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