Details
| Original language | English |
|---|---|
| Title of host publication | CISM International Centre for Mechanical Sciences, Courses and Lectures |
| Place of Publication | Cham |
| Publisher | Springer Nature |
| Pages | 107-126 |
| Number of pages | 20 |
| ISBN (electronic) | 978-3-030-33520-5 |
| ISBN (print) | 978-3-030-33519-9 |
| Publication status | Published - 2020 |
Publication series
| Name | CISM International Centre for Mechanical Sciences, Courses and Lectures |
|---|---|
| Volume | 597 |
| ISSN (Print) | 0254-1971 |
| ISSN (electronic) | 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)
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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CISM International Centre for Mechanical Sciences, Courses and Lectures. Cham: Springer Nature, 2020. p. 107-126 (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 597).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity
AU - Viebahn, Nils
AU - Schröder, Jörg
AU - Wriggers, Peter
N1 - Funding Information: The financial support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) is gratefully acknowledged - 255432295.
PY - 2020
Y1 - 2020
N2 - 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)
AB - 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)
UR - http://www.scopus.com/inward/record.url?scp=85076732940&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-33520-5_4
DO - 10.1007/978-3-030-33520-5_4
M3 - Contribution to book/anthology
AN - SCOPUS:85076732940
SN - 978-3-030-33519-9
T3 - CISM International Centre for Mechanical Sciences, Courses and Lectures
SP - 107
EP - 126
BT - CISM International Centre for Mechanical Sciences, Courses and Lectures
PB - Springer Nature
CY - Cham
ER -