Metamodeling Based on the Fusion of FEM Simulations Results and Experimental Data

Bianca M. Colosimo, Luca Pagani, Matteo Strano

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper an innovative multistage metamodeling technique is proposed for linking data coming from two different sources: simulations and experiments. The model is hierarchical, in the sense that one set of data (the experiments) is considered to be more reliable and it is labeled as "high- resolution" and the other set (the simulations) is labeled as "low-resolution". The results of experiments is obviously fully accurate, except for the only approximation due to the measurement system and given the intrinsically aleatory nature of all real experiments. In the proposed approach, Gaussian models are used to describe results of computer experiments because they are flexible and they can easily interpolate data coming from deterministic simulations. A second stage model is used, in order to link the prediction of the first model to the real experimental data. For the linkage model, as in the first stage, a Gaussian process is used. In this second stage a random parameter can be added to the model, known as nugget, in order to take into account the process variability. This kind of metamodeling can have different purposes: adjusting or tuning the simulations, having a better tool to drive the design process, making an optimization of a parameter of interest. In the paper, its use for optimization of a single response y with two design variables x1 and x2 is demonstrated. The approach is applied for modeling the crash behavior in three point bending of metal foam filled tubes.

Original languageEnglish
Title of host publicationThe Current State-of-the-Art on Material Forming
Subtitle of host publicationNumerical and Experimental Approaches at Different Length-Scales
EditorsRicardo Alves de Sousa, Robertt Valente
Pages2487-2498
Number of pages12
Volume554-557
DOIs
Publication statusPublished - Jun 2013
Externally publishedYes
Event16th European Scientific Association for Material Forming Conference on Material Forming - Aveiro, Portugal
Duration: 22 Apr 201324 Apr 2013
Conference number: 16
http://www.jeccomposites.com/knowledge/international-composites-agenda/16th-annual-esaform-conference-material-forming (Link to Conference Details )

Publication series

NameKey Engineering Materials
Volume554-557
ISSN (Print)1013-9826

Conference

Conference16th European Scientific Association for Material Forming Conference on Material Forming
Abbreviated titleESAFORM 2013
CountryPortugal
CityAveiro
Period22/04/1324/04/13
Internet address

Fingerprint

Fusion reactions
Finite element method
Experiments
Foams
Tuning
Metals

Cite this

Colosimo, B. M., Pagani, L., & Strano, M. (2013). Metamodeling Based on the Fusion of FEM Simulations Results and Experimental Data. In R. Alves de Sousa, & R. Valente (Eds.), The Current State-of-the-Art on Material Forming: Numerical and Experimental Approaches at Different Length-Scales (Vol. 554-557, pp. 2487-2498). (Key Engineering Materials; Vol. 554-557). https://doi.org/10.4028/www.scientific.net/KEM.554-557.2487
Colosimo, Bianca M. ; Pagani, Luca ; Strano, Matteo. / Metamodeling Based on the Fusion of FEM Simulations Results and Experimental Data. The Current State-of-the-Art on Material Forming: Numerical and Experimental Approaches at Different Length-Scales. editor / Ricardo Alves de Sousa ; Robertt Valente. Vol. 554-557 2013. pp. 2487-2498 (Key Engineering Materials).
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Colosimo, BM, Pagani, L & Strano, M 2013, Metamodeling Based on the Fusion of FEM Simulations Results and Experimental Data. in R Alves de Sousa & R Valente (eds), The Current State-of-the-Art on Material Forming: Numerical and Experimental Approaches at Different Length-Scales. vol. 554-557, Key Engineering Materials, vol. 554-557, pp. 2487-2498, 16th European Scientific Association for Material Forming Conference on Material Forming, Aveiro, Portugal, 22/04/13. https://doi.org/10.4028/www.scientific.net/KEM.554-557.2487

Metamodeling Based on the Fusion of FEM Simulations Results and Experimental Data. / Colosimo, Bianca M.; Pagani, Luca; Strano, Matteo.

The Current State-of-the-Art on Material Forming: Numerical and Experimental Approaches at Different Length-Scales. ed. / Ricardo Alves de Sousa; Robertt Valente. Vol. 554-557 2013. p. 2487-2498 (Key Engineering Materials; Vol. 554-557).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - In this paper an innovative multistage metamodeling technique is proposed for linking data coming from two different sources: simulations and experiments. The model is hierarchical, in the sense that one set of data (the experiments) is considered to be more reliable and it is labeled as "high- resolution" and the other set (the simulations) is labeled as "low-resolution". The results of experiments is obviously fully accurate, except for the only approximation due to the measurement system and given the intrinsically aleatory nature of all real experiments. In the proposed approach, Gaussian models are used to describe results of computer experiments because they are flexible and they can easily interpolate data coming from deterministic simulations. A second stage model is used, in order to link the prediction of the first model to the real experimental data. For the linkage model, as in the first stage, a Gaussian process is used. In this second stage a random parameter can be added to the model, known as nugget, in order to take into account the process variability. This kind of metamodeling can have different purposes: adjusting or tuning the simulations, having a better tool to drive the design process, making an optimization of a parameter of interest. In the paper, its use for optimization of a single response y with two design variables x1 and x2 is demonstrated. The approach is applied for modeling the crash behavior in three point bending of metal foam filled tubes.

AB - In this paper an innovative multistage metamodeling technique is proposed for linking data coming from two different sources: simulations and experiments. The model is hierarchical, in the sense that one set of data (the experiments) is considered to be more reliable and it is labeled as "high- resolution" and the other set (the simulations) is labeled as "low-resolution". The results of experiments is obviously fully accurate, except for the only approximation due to the measurement system and given the intrinsically aleatory nature of all real experiments. In the proposed approach, Gaussian models are used to describe results of computer experiments because they are flexible and they can easily interpolate data coming from deterministic simulations. A second stage model is used, in order to link the prediction of the first model to the real experimental data. For the linkage model, as in the first stage, a Gaussian process is used. In this second stage a random parameter can be added to the model, known as nugget, in order to take into account the process variability. This kind of metamodeling can have different purposes: adjusting or tuning the simulations, having a better tool to drive the design process, making an optimization of a parameter of interest. In the paper, its use for optimization of a single response y with two design variables x1 and x2 is demonstrated. The approach is applied for modeling the crash behavior in three point bending of metal foam filled tubes.

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M3 - Conference contribution

SN - 9783037857199

VL - 554-557

T3 - Key Engineering Materials

SP - 2487

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BT - The Current State-of-the-Art on Material Forming

A2 - Alves de Sousa, Ricardo

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Colosimo BM, Pagani L, Strano M. Metamodeling Based on the Fusion of FEM Simulations Results and Experimental Data. In Alves de Sousa R, Valente R, editors, The Current State-of-the-Art on Material Forming: Numerical and Experimental Approaches at Different Length-Scales. Vol. 554-557. 2013. p. 2487-2498. (Key Engineering Materials). https://doi.org/10.4028/www.scientific.net/KEM.554-557.2487