A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandBeitrag in Buch/SammelwerkForschungPeer-Review

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  • Universität Duisburg-Essen
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OriginalspracheEnglisch
Titel des SammelwerksCISM International Centre for Mechanical Sciences, Courses and Lectures
ErscheinungsortCham
Herausgeber (Verlag)Springer Nature
Seiten107-126
Seitenumfang20
ISBN (elektronisch)978-3-030-33520-5
ISBN (Print)978-3-030-33519-9
PublikationsstatusVeröffentlicht - 2020

Publikationsreihe

NameCISM International Centre for Mechanical Sciences, Courses and Lectures
Band597
ISSN (Print)0254-1971
ISSN (elektronisch)2309-3706

Abstract

The proposed work extends the well-known assumed stress elements to the framework of hyperelasticity. In order to obtain the constitutive relationship, a nonlinear set of equations is solved implicitly on element level. A numerical verification, where two assumed stress elements are compared to classical enhanced assumed strain elements, depicts the reliability and efficiency of the proposed concept. This work is closely related to the publication of Viebahn et al. (2019)

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A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity. / Viebahn, Nils; Schröder, Jörg; Wriggers, Peter.
CISM International Centre for Mechanical Sciences, Courses and Lectures. Cham: Springer Nature, 2020. S. 107-126 (CISM International Centre for Mechanical Sciences, Courses and Lectures; Band 597).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandBeitrag in Buch/SammelwerkForschungPeer-Review

Viebahn, N, Schröder, J & Wriggers, P 2020, A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity. in CISM International Centre for Mechanical Sciences, Courses and Lectures. CISM International Centre for Mechanical Sciences, Courses and Lectures, Bd. 597, Springer Nature, Cham, S. 107-126. https://doi.org/10.1007/978-3-030-33520-5_4
Viebahn, N., Schröder, J., & Wriggers, P. (2020). A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity. In CISM International Centre for Mechanical Sciences, Courses and Lectures (S. 107-126). (CISM International Centre for Mechanical Sciences, Courses and Lectures; Band 597). Springer Nature. Vorabveröffentlichung online. https://doi.org/10.1007/978-3-030-33520-5_4
Viebahn N, Schröder J, Wriggers P. A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity. in CISM International Centre for Mechanical Sciences, Courses and Lectures. Cham: Springer Nature. 2020. S. 107-126. (CISM International Centre for Mechanical Sciences, Courses and Lectures). Epub 2019 Nov 27. doi: 10.1007/978-3-030-33520-5_4
Viebahn, Nils ; Schröder, Jörg ; Wriggers, Peter. / A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity. CISM International Centre for Mechanical Sciences, Courses and Lectures. Cham : Springer Nature, 2020. S. 107-126 (CISM International Centre for Mechanical Sciences, Courses and Lectures).
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