Adaptive through-thickness integration strategy for shell elements

I.A. Burchitz; T. Meinders; J. Huetink

doi:10.1063/1.2740892

Adaptive through-thickness integration strategy for shell elements

I.A. Burchitz, T. Meinders, J. Huetink

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

Reliable numerical prediction of springback in sheet metal forming is essential for the automotive industry. Thereare numerous factors that influence the accuracy of springback prediction by using the finite element method. One of thereasons is the through-thickness numerical integration of shell elements. It is known that even for simple problems thetraditional integration schemes may require up to 50 integration points to achieve a high accuracy of springback analysis.An adaptive through-thickness integration strategy can be a good alternative. The strategy defines abscissas and weightsdepending on the integrand's properties and, thus, can adapt itself to improve the accuracy of integration. A concept of theadaptive through-thickness integration strategy for shell elements is presented. It is tested using a simple problem of bendingof a beam under tension. Results show that for a similar set of material and process parameters the adaptive Simpson's rulewith 7 integration points performs better than the traditional trapezoidal rule with 50 points. The adaptive through-thicknessintegration strategy for shell elements can improve the accuracy of springback prediction at minimal costs

Original language	English
Title of host publication	Materials processing and design: modeling, simulation and applications
Subtitle of host publication	NUMIFORM '07 : proceedings of the 9th International Conference on Numerical Methods in Industrial Forming Processes, Porto, Portugal, 17-21 June, 2007
Editors	J.M.A. César de Sá, Abel D. Santos
Place of Publication	Melville, NY
Publisher	American Institute of Physics
Pages	699-704
ISBN (Print)	978-0-7354-0415-1
DOIs	https://doi.org/10.1063/1.2740892
Publication status	Published - 2007
Event	9th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2007 - Porto, Portugal Duration: 17 Jun 2007 → 21 Jun 2007 Conference number: 9

Publication series

Name	AIP Conference Proceedings
Publisher	AIP
Number	1
Volume	908
ISSN (Print)	0094-243X

Conference

Conference	9th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2007
Abbreviated title	NUMIFORM
Country/Territory	Portugal
City	Porto
Period	17/06/07 → 21/06/07

Keywords

Sheet metal forming
Springback
Adaptive quadrature
Shell element
Implicit scheme

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10.1063/1.2740892

Cite this

Burchitz, I. A., Meinders, T., & Huetink, J. (2007). Adaptive through-thickness integration strategy for shell elements. In J. M. A. César de Sá, & A. D. Santos (Eds.), Materials processing and design: modeling, simulation and applications: NUMIFORM '07 : proceedings of the 9th International Conference on Numerical Methods in Industrial Forming Processes, Porto, Portugal, 17-21 June, 2007 (pp. 699-704). (AIP Conference Proceedings; Vol. 908, No. 1). American Institute of Physics. https://doi.org/10.1063/1.2740892

Burchitz, I.A. ; Meinders, T. ; Huetink, J. / Adaptive through-thickness integration strategy for shell elements. Materials processing and design: modeling, simulation and applications: NUMIFORM '07 : proceedings of the 9th International Conference on Numerical Methods in Industrial Forming Processes, Porto, Portugal, 17-21 June, 2007. editor / J.M.A. César de Sá ; Abel D. Santos. Melville, NY : American Institute of Physics, 2007. pp. 699-704 (AIP Conference Proceedings; 1).

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title = "Adaptive through-thickness integration strategy for shell elements",

abstract = "Reliable numerical prediction of springback in sheet metal forming is essential for the automotive industry. Thereare numerous factors that influence the accuracy of springback prediction by using the finite element method. One of thereasons is the through-thickness numerical integration of shell elements. It is known that even for simple problems thetraditional integration schemes may require up to 50 integration points to achieve a high accuracy of springback analysis.An adaptive through-thickness integration strategy can be a good alternative. The strategy defines abscissas and weightsdepending on the integrand's properties and, thus, can adapt itself to improve the accuracy of integration. A concept of theadaptive through-thickness integration strategy for shell elements is presented. It is tested using a simple problem of bendingof a beam under tension. Results show that for a similar set of material and process parameters the adaptive Simpson's rulewith 7 integration points performs better than the traditional trapezoidal rule with 50 points. The adaptive through-thicknessintegration strategy for shell elements can improve the accuracy of springback prediction at minimal costs",

keywords = "Sheet metal forming, Springback, Adaptive quadrature, Shell element, Implicit scheme",

author = "I.A. Burchitz and T. Meinders and J. Huetink",

year = "2007",

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Burchitz, IA, Meinders, T & Huetink, J 2007, Adaptive through-thickness integration strategy for shell elements. in JMA César de Sá & AD Santos (eds), Materials processing and design: modeling, simulation and applications: NUMIFORM '07 : proceedings of the 9th International Conference on Numerical Methods in Industrial Forming Processes, Porto, Portugal, 17-21 June, 2007. AIP Conference Proceedings, no. 1, vol. 908, American Institute of Physics, Melville, NY, pp. 699-704, 9th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2007, Porto, Portugal, 17/06/07. https://doi.org/10.1063/1.2740892

Adaptive through-thickness integration strategy for shell elements. / Burchitz, I.A.; Meinders, T.; Huetink, J.
Materials processing and design: modeling, simulation and applications: NUMIFORM '07 : proceedings of the 9th International Conference on Numerical Methods in Industrial Forming Processes, Porto, Portugal, 17-21 June, 2007. ed. / J.M.A. César de Sá; Abel D. Santos. Melville, NY: American Institute of Physics, 2007. p. 699-704 (AIP Conference Proceedings; Vol. 908, No. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Adaptive through-thickness integration strategy for shell elements

AU - Burchitz, I.A.

AU - Meinders, T.

AU - Huetink, J.

N1 - Conference code: 9

PY - 2007

Y1 - 2007

N2 - Reliable numerical prediction of springback in sheet metal forming is essential for the automotive industry. Thereare numerous factors that influence the accuracy of springback prediction by using the finite element method. One of thereasons is the through-thickness numerical integration of shell elements. It is known that even for simple problems thetraditional integration schemes may require up to 50 integration points to achieve a high accuracy of springback analysis.An adaptive through-thickness integration strategy can be a good alternative. The strategy defines abscissas and weightsdepending on the integrand's properties and, thus, can adapt itself to improve the accuracy of integration. A concept of theadaptive through-thickness integration strategy for shell elements is presented. It is tested using a simple problem of bendingof a beam under tension. Results show that for a similar set of material and process parameters the adaptive Simpson's rulewith 7 integration points performs better than the traditional trapezoidal rule with 50 points. The adaptive through-thicknessintegration strategy for shell elements can improve the accuracy of springback prediction at minimal costs

AB - Reliable numerical prediction of springback in sheet metal forming is essential for the automotive industry. Thereare numerous factors that influence the accuracy of springback prediction by using the finite element method. One of thereasons is the through-thickness numerical integration of shell elements. It is known that even for simple problems thetraditional integration schemes may require up to 50 integration points to achieve a high accuracy of springback analysis.An adaptive through-thickness integration strategy can be a good alternative. The strategy defines abscissas and weightsdepending on the integrand's properties and, thus, can adapt itself to improve the accuracy of integration. A concept of theadaptive through-thickness integration strategy for shell elements is presented. It is tested using a simple problem of bendingof a beam under tension. Results show that for a similar set of material and process parameters the adaptive Simpson's rulewith 7 integration points performs better than the traditional trapezoidal rule with 50 points. The adaptive through-thicknessintegration strategy for shell elements can improve the accuracy of springback prediction at minimal costs

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KW - Springback

KW - Adaptive quadrature

KW - Shell element

KW - Implicit scheme

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DO - 10.1063/1.2740892

M3 - Conference contribution

SN - 978-0-7354-0415-1

T3 - AIP Conference Proceedings

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EP - 704

BT - Materials processing and design: modeling, simulation and applications

A2 - César de Sá, J.M.A.

A2 - Santos, Abel D.

PB - American Institute of Physics

CY - Melville, NY

T2 - 9th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2007

Y2 - 17 June 2007 through 21 June 2007

ER -

Burchitz IA, Meinders T, Huetink J. Adaptive through-thickness integration strategy for shell elements. In César de Sá JMA, Santos AD, editors, Materials processing and design: modeling, simulation and applications: NUMIFORM '07 : proceedings of the 9th International Conference on Numerical Methods in Industrial Forming Processes, Porto, Portugal, 17-21 June, 2007. Melville, NY: American Institute of Physics. 2007. p. 699-704. (AIP Conference Proceedings; 1). doi: 10.1063/1.2740892

Adaptive through-thickness integration strategy for shell elements

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