Details
| Original language | English |
|---|---|
| Pages (from-to) | 1011-1026 |
| Number of pages | 16 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 120 |
| Issue number | 8 |
| Publication status | Published - 10 Jul 2019 |
Abstract
In this work, a low-order mixed finite element formulation for three-dimensional nonlinear elastic problems is presented. The main goal of this paper is to develop a robust and efficient element formulation to overcome locking arising in the cases of hyperelastic bending, quasi-incompressibility, and anisotropy. For this, a low-order discretisation of a five-field Hu-Washizu functional written in terms of the minors of the Cauchy-Green tensor is used. For the tested boundary value problems, the proposed element formulation is more accurate and computational efficient than comparable element formulations.
Keywords
- anisotropy, locking-free, mixed finite elements, nearly incompressible material
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- General Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 120, No. 8, 10.07.2019, p. 1011-1026.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Low-order locking-free mixed finite element formulation with approximation of the minors of the deformation gradient
AU - Kraus, Alex
AU - Wriggers, Peter
AU - Viebahn, Nils
AU - Schröder, Jörg
N1 - Funding information: The authors gratefully acknowledge the support by the Deutsche Forschungsgemeinschaft in the Priority Program 1748 “Reliable Simulation Techniques in Solid Mechanics, Development of Non-standard Discretization Methods, Mechanical and Mathematical Analysis” for the project “Novel finite elements for anisotropic media at finite strain” (WR 19/50-1)(SCHR 570/23-1).
PY - 2019/7/10
Y1 - 2019/7/10
N2 - In this work, a low-order mixed finite element formulation for three-dimensional nonlinear elastic problems is presented. The main goal of this paper is to develop a robust and efficient element formulation to overcome locking arising in the cases of hyperelastic bending, quasi-incompressibility, and anisotropy. For this, a low-order discretisation of a five-field Hu-Washizu functional written in terms of the minors of the Cauchy-Green tensor is used. For the tested boundary value problems, the proposed element formulation is more accurate and computational efficient than comparable element formulations.
AB - In this work, a low-order mixed finite element formulation for three-dimensional nonlinear elastic problems is presented. The main goal of this paper is to develop a robust and efficient element formulation to overcome locking arising in the cases of hyperelastic bending, quasi-incompressibility, and anisotropy. For this, a low-order discretisation of a five-field Hu-Washizu functional written in terms of the minors of the Cauchy-Green tensor is used. For the tested boundary value problems, the proposed element formulation is more accurate and computational efficient than comparable element formulations.
KW - anisotropy
KW - locking-free
KW - mixed finite elements
KW - nearly incompressible material
UR - http://www.scopus.com/inward/record.url?scp=85070684759&partnerID=8YFLogxK
U2 - 10.1002/nme.6168
DO - 10.1002/nme.6168
M3 - Article
AN - SCOPUS:85070684759
VL - 120
SP - 1011
EP - 1026
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 8
ER -