Details
| Original language | English |
|---|---|
| Pages (from-to) | 455-480 |
| Number of pages | 26 |
| Journal | Computational mechanics |
| Volume | 67 |
| Issue number | 2 |
| Early online date | 29 Dec 2020 |
| Publication status | Published - Feb 2021 |
| Externally published | Yes |
Abstract
We present a novel approach to topology optimization based on thermodynamic extremal principles. This approach comprises three advantages: (1) it is valid for arbitrary hyperelastic material formulations while avoiding artificial procedures that were necessary in our previous approaches for topology optimization based on thermodynamic principles; (2) the important constraints of bounded relative density and total structure volume are fulfilled analytically which simplifies the numerical implementation significantly; (3) it possesses a mathematical structure that allows for a variety of numerical procedures to solve the problem of topology optimization without distinct optimization routines. We present a detailed model derivation including the chosen numerical discretization and show the validity of the approach by simulating two boundary value problems with large deformations.
Keywords
- Large deformation, Topology optimization, Variational method
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 67, No. 2, 02.2021, p. 455-480.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A new variational approach for the thermodynamic topology optimization of hyperelastic structures
AU - Junker, Philipp
AU - Balzani, Daniel
PY - 2021/2
Y1 - 2021/2
N2 - We present a novel approach to topology optimization based on thermodynamic extremal principles. This approach comprises three advantages: (1) it is valid for arbitrary hyperelastic material formulations while avoiding artificial procedures that were necessary in our previous approaches for topology optimization based on thermodynamic principles; (2) the important constraints of bounded relative density and total structure volume are fulfilled analytically which simplifies the numerical implementation significantly; (3) it possesses a mathematical structure that allows for a variety of numerical procedures to solve the problem of topology optimization without distinct optimization routines. We present a detailed model derivation including the chosen numerical discretization and show the validity of the approach by simulating two boundary value problems with large deformations.
AB - We present a novel approach to topology optimization based on thermodynamic extremal principles. This approach comprises three advantages: (1) it is valid for arbitrary hyperelastic material formulations while avoiding artificial procedures that were necessary in our previous approaches for topology optimization based on thermodynamic principles; (2) the important constraints of bounded relative density and total structure volume are fulfilled analytically which simplifies the numerical implementation significantly; (3) it possesses a mathematical structure that allows for a variety of numerical procedures to solve the problem of topology optimization without distinct optimization routines. We present a detailed model derivation including the chosen numerical discretization and show the validity of the approach by simulating two boundary value problems with large deformations.
KW - Large deformation
KW - Topology optimization
KW - Variational method
UR - http://www.scopus.com/inward/record.url?scp=85098280767&partnerID=8YFLogxK
U2 - 10.1007/s00466-020-01949-4
DO - 10.1007/s00466-020-01949-4
M3 - Article
AN - SCOPUS:85098280767
VL - 67
SP - 455
EP - 480
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 2
ER -