Interval approach for nondeterministic linear static finite element method in continuum mechanics problems

Hao Zhang and Rafi L. Muhanna

International Journal of Reliability and Safety, 2009, vol. 3, issue 1/2/3, 201-217

Abstract: This paper presents a non-traditional treatment for uncertainties in linear static Finite Element Method (FEM). Uncertainties are introduced as bounded possible values (intervals). FEM with interval parameters estimates the range of the system response based on the bounds of the system parameters. The obtained results should be accurate and efficiently computed. Toward this end, a rigorous interval FEM has been developed and applied to the continuum mechanics problems. The paper compares the different scenarios how the uncertain field (e.g. the interval modulus of elasticity of a plate) is discretised.

Keywords: interval analysis; finite element method; uncertainties; nondeterministic linear static FEM; continuum mechanics; interval arithmetic; Monte Carlo sampling; modulus of elasticity. (search for similar items in EconPapers)
Date: 2009
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.inderscience.com/link.php?id=26841 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ids:ijrsaf:v:3:y:2009:i:1/2/3:p:201-217

Access Statistics for this article

More articles in International Journal of Reliability and Safety from Inderscience Enterprises Ltd
Bibliographic data for series maintained by Sarah Parker ().