Stochastic higher order finite element elasto-plastic analysis of the necking phenomenon
The principal goal of this work is to investigate an application of the stochastic perturbation technique of the 10th order in coupled thermo-elasto-plastic analysis of tension of the steel elastic bar exposed to fire with thermally dependent material characteristics. An ambient temperature, calcula...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2017-01-01
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| Series: | ITM Web of Conferences |
| Online Access: | https://doi.org/10.1051/itmconf/20171503005 |
| _version_ | 1818919082451271680 |
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| author | Strąkowski Michał Kamiński Marcin |
| author_facet | Strąkowski Michał Kamiński Marcin |
| author_sort | Strąkowski Michał |
| collection | DOAJ |
| description | The principal goal of this work is to investigate an application of the stochastic perturbation technique of the 10th order in coupled thermo-elasto-plastic analysis of tension of the steel elastic bar exposed to fire with thermally dependent material characteristics. An ambient temperature, calculated from the fire curve after ISO 834-1, equivalent to the fire exposure of the steel structure is treated here as the input Gaussian random variable. It is uniquely defined by the constant mean value at outer surfaces of this element, where material parameters of the steel as Young modulus, yield strength, heat conductivity, capacity and thermal elongation are considered all as highly temperature-dependent. Computational implementation known as the Stochastic Finite Element Method is carried out with the use of the FEM system ABAQUS and computer algebra system MAPLE. It uses both polynomial and non-polynomial local response functions of stresses and displacements. The basic probabilistic characteristics of time-dependent structural response are determined (expectations, coefficients of variation, skewness and kurtosis) and verified with classical Monte-Carlo simulation scheme and semi-analytical technique for input coefficient of variation not larger than 0.20. Finally, probabilistic convergence of all three methods versus increasing input uncertainty level is investigated. |
| first_indexed | 2024-12-20T01:00:12Z |
| format | Article |
| id | doaj.art-03f6f005e4264f88a943d297d6eba8dd |
| institution | Directory Open Access Journal |
| issn | 2271-2097 |
| language | English |
| last_indexed | 2024-12-20T01:00:12Z |
| publishDate | 2017-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ITM Web of Conferences |
| spelling | doaj.art-03f6f005e4264f88a943d297d6eba8dd2022-12-21T19:59:01ZengEDP SciencesITM Web of Conferences2271-20972017-01-01150300510.1051/itmconf/20171503005itmconf_cmes-17_03005Stochastic higher order finite element elasto-plastic analysis of the necking phenomenonStrąkowski MichałKamiński MarcinThe principal goal of this work is to investigate an application of the stochastic perturbation technique of the 10th order in coupled thermo-elasto-plastic analysis of tension of the steel elastic bar exposed to fire with thermally dependent material characteristics. An ambient temperature, calculated from the fire curve after ISO 834-1, equivalent to the fire exposure of the steel structure is treated here as the input Gaussian random variable. It is uniquely defined by the constant mean value at outer surfaces of this element, where material parameters of the steel as Young modulus, yield strength, heat conductivity, capacity and thermal elongation are considered all as highly temperature-dependent. Computational implementation known as the Stochastic Finite Element Method is carried out with the use of the FEM system ABAQUS and computer algebra system MAPLE. It uses both polynomial and non-polynomial local response functions of stresses and displacements. The basic probabilistic characteristics of time-dependent structural response are determined (expectations, coefficients of variation, skewness and kurtosis) and verified with classical Monte-Carlo simulation scheme and semi-analytical technique for input coefficient of variation not larger than 0.20. Finally, probabilistic convergence of all three methods versus increasing input uncertainty level is investigated.https://doi.org/10.1051/itmconf/20171503005 |
| spellingShingle | Strąkowski Michał Kamiński Marcin Stochastic higher order finite element elasto-plastic analysis of the necking phenomenon ITM Web of Conferences |
| title | Stochastic higher order finite element elasto-plastic analysis of the necking phenomenon |
| title_full | Stochastic higher order finite element elasto-plastic analysis of the necking phenomenon |
| title_fullStr | Stochastic higher order finite element elasto-plastic analysis of the necking phenomenon |
| title_full_unstemmed | Stochastic higher order finite element elasto-plastic analysis of the necking phenomenon |
| title_short | Stochastic higher order finite element elasto-plastic analysis of the necking phenomenon |
| title_sort | stochastic higher order finite element elasto plastic analysis of the necking phenomenon |
| url | https://doi.org/10.1051/itmconf/20171503005 |
| work_keys_str_mv | AT strakowskimichał stochastichigherorderfiniteelementelastoplasticanalysisoftheneckingphenomenon AT kaminskimarcin stochastichigherorderfiniteelementelastoplasticanalysisoftheneckingphenomenon |