Finite strain analyses of deformations in polymer specimens

Viggo Tvergaard

doi:10.1201/b20057-13

Finite strain analyses of deformations in polymer specimens

Viggo Tvergaard

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

Analyses of the stress and strain state in test specimens or structural components made of polymer are discussed. This includes the Izod impact test, based on full 3D transient analyses. Also a long thin polymer tube under internal pressure has been studied, where instabilities develop, such as bulging or necking. An axisymmetric bulge develops on the tube followed by necking in the bulge, and neck propagation is observed in both the circumferential and the axial directions. Analyses of indentation tests have been carried out, with focus on the effect of the material parameters characterizing viscoplastic flow on the indentation response. Also, the ability of the simpler expanding spherical cavity model to reproduce the trends from the 3D finite element solutions has been assessed.

Original language	English
Title of host publication	Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues: Proceedings of the 3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics (CMM)
Editors	Michał Kleiber, Tadeusz Burczyński, Krzysztof Wilde, Jaroslaw Gorski, Karol Winkelmann, Łukasz Smakosz
Publisher	Taylor & Francis
Publication date	2016
Pages	63-64
ISBN (Print)	9781138029064
DOIs	https://doi.org/10.1201/b20057-13
Publication status	Published - 2016
Event	3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics (CMM) - Gdansk, Poland Duration: 8 Sept 2016 → 11 Sept 2016

Conference

Conference	3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics (CMM)
Country/Territory	Poland
City	Gdansk
Period	08/09/2016 → 11/09/2016

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Tvergaard, V. (2016). Finite strain analyses of deformations in polymer specimens. In M. Kleiber, T. Burczyński, K. Wilde, J. Gorski, K. Winkelmann, & Ł. Smakosz (Eds.), Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues: Proceedings of the 3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics (CMM) (pp. 63-64). Taylor & Francis. https://doi.org/10.1201/b20057-13

Tvergaard, Viggo. / Finite strain analyses of deformations in polymer specimens. Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues: Proceedings of the 3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics (CMM). editor / Michał Kleiber ; Tadeusz Burczyński ; Krzysztof Wilde ; Jaroslaw Gorski ; Karol Winkelmann ; Łukasz Smakosz. Taylor & Francis, 2016. pp. 63-64

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title = "Finite strain analyses of deformations in polymer specimens",

abstract = "Analyses of the stress and strain state in test specimens or structural components made of polymer are discussed. This includes the Izod impact test, based on full 3D transient analyses. Also a long thin polymer tube under internal pressure has been studied, where instabilities develop, such as bulging or necking. An axisymmetric bulge develops on the tube followed by necking in the bulge, and neck propagation is observed in both the circumferential and the axial directions. Analyses of indentation tests have been carried out, with focus on the effect of the material parameters characterizing viscoplastic flow on the indentation response. Also, the ability of the simpler expanding spherical cavity model to reproduce the trends from the 3D finite element solutions has been assessed.",

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booktitle = "Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues: Proceedings of the 3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics (CMM)",

publisher = "Taylor \& Francis",

note = "3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics (CMM) ; Conference date: 08-09-2016 Through 11-09-2016",

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Tvergaard, V 2016, Finite strain analyses of deformations in polymer specimens. in M Kleiber, T Burczyński, K Wilde, J Gorski, K Winkelmann & Ł Smakosz (eds), Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues: Proceedings of the 3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics (CMM). Taylor & Francis, pp. 63-64, 3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics (CMM), Gdansk, Poland, 08/09/2016. https://doi.org/10.1201/b20057-13

Finite strain analyses of deformations in polymer specimens. / Tvergaard, Viggo.
Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues: Proceedings of the 3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics (CMM). ed. / Michał Kleiber; Tadeusz Burczyński; Krzysztof Wilde; Jaroslaw Gorski; Karol Winkelmann; Łukasz Smakosz. Taylor & Francis, 2016. p. 63-64.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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T1 - Finite strain analyses of deformations in polymer specimens

AU - Tvergaard, Viggo

PY - 2016

Y1 - 2016

N2 - Analyses of the stress and strain state in test specimens or structural components made of polymer are discussed. This includes the Izod impact test, based on full 3D transient analyses. Also a long thin polymer tube under internal pressure has been studied, where instabilities develop, such as bulging or necking. An axisymmetric bulge develops on the tube followed by necking in the bulge, and neck propagation is observed in both the circumferential and the axial directions. Analyses of indentation tests have been carried out, with focus on the effect of the material parameters characterizing viscoplastic flow on the indentation response. Also, the ability of the simpler expanding spherical cavity model to reproduce the trends from the 3D finite element solutions has been assessed.

AB - Analyses of the stress and strain state in test specimens or structural components made of polymer are discussed. This includes the Izod impact test, based on full 3D transient analyses. Also a long thin polymer tube under internal pressure has been studied, where instabilities develop, such as bulging or necking. An axisymmetric bulge develops on the tube followed by necking in the bulge, and neck propagation is observed in both the circumferential and the axial directions. Analyses of indentation tests have been carried out, with focus on the effect of the material parameters characterizing viscoplastic flow on the indentation response. Also, the ability of the simpler expanding spherical cavity model to reproduce the trends from the 3D finite element solutions has been assessed.

U2 - 10.1201/b20057-13

DO - 10.1201/b20057-13

M3 - Article in proceedings

SN - 9781138029064

SP - 63

EP - 64

BT - Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues: Proceedings of the 3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics (CMM)

A2 - Kleiber, Michał

A2 - Burczyński, Tadeusz

A2 - Wilde, Krzysztof

A2 - Gorski, Jaroslaw

A2 - Winkelmann, Karol

A2 - Smakosz, Łukasz

PB - Taylor & Francis

T2 - 3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics (CMM)

Y2 - 8 September 2016 through 11 September 2016

ER -

Tvergaard V. Finite strain analyses of deformations in polymer specimens. In Kleiber M, Burczyński T, Wilde K, Gorski J, Winkelmann K, Smakosz Ł, editors, Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues: Proceedings of the 3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics (CMM). Taylor & Francis. 2016. p. 63-64 doi: 10.1201/b20057-13

Finite strain analyses of deformations in polymer specimens

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