Object
Title: A sign preserving mixed finite element approximation for contact problems
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
This paper is concerned with the frictionless unilateral contact problem (i.e., a Signorini problem with the elasticity operator). We consider a mixed finite element method in which the unknowns are the displacement field and the contact pressure. The particularity of the method is that it furnishes a normal displacement field and a contact pressure satisfying the sign conditions of the continuous problem. ; The "a priori" error analysis of the method is closely linked with the study of a specific positivity preserving operator of averaging type which differs from the one of Chen and Nochetto. We show that this method is convergent and satisfies the same "a priori" error estimates as the standard approach in which the approximated contact pressure satisfies only a weak sign condition. Finally we perform some computations to illustrate and compare the sign preserving method with the standard approach.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, Volume 21, Number 3 (2011) ; click here to follow the link
Language:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS)
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2011)
Last modified:
Nov 5, 2024
In our library since:
Aug 27, 2018
Number of object content hits:
154
All available object's versions:
https://zbc.uz.zgora.pl/publication/55033
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21, number 1 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21, number 2 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21, number 3 (2011)
- International Journal of Applied Mathematics and Computer Science (AMCS), volume 21, number 3 (2011) - spis treści
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- Modeling of reliability characteristics typically assumes that components and systems fail if a certain individual damagelevel is exceeded. Every (mechanical) system damage increases irreversibly due to employed loading and (mechanical)stress, respectively. The main issue of damage estimation is adequate determination of the actual state-of-damage. Severalmathematical modeling approaches are known in the literature, focusing on the task of how loading effects damageprogression (e.g., W¨ohler, 1870) for wear processes. Those models are only valid for specific loading conditions, a prioriassumptions, set points, etc. This contribution proposes a general model, covering adequately the deterioration of a setof comparable systems under comparable loading. The main goal of this contribution is to derive the loading?damageconnection directly from observation without assuming any damage models at the outset. Moreover, the connection is notinvestigated in detail (e.g., to examine the changes in material, etc.) but only approximated with a probabilistic approach.The idea is subdivided into two phases: A problem-specific relation between loading applied (to a structure, which contributesto the stress) and failure is derived from simulation, where a probabilistic approach only assumes a distributionfunction. Subsequently, an adequate general model is set up to describe deterioration progression. The scheme will beshown through simulation-based results and can be used for estimation of the remaining useful life and predictive maintenance/control.Keywords: reliability, parameter estimation, damage accumulation, probabilistic simulation.
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Edition name | Date |
|---|---|
| A sign preserving mixed finite element approximation for contact problems | Nov 5, 2024 |
