Details
| Original language | English |
|---|---|
| Pages (from-to) | 521-548 |
| Number of pages | 28 |
| Journal | Continuum Mechanics and Thermodynamics |
| Volume | 31 |
| Issue number | 2 |
| Publication status | Published - 27 Aug 2019 |
| Externally published | Yes |
Abstract
Computationally efficient approaches to topology optimization usually include heuristic update and/or filtering schemes to overcome numerical problems such as the well-known checkerboarding phenomenon, local minima, and the associated mesh dependency. In a series of papers, Hamilton’s principle, which originates from thermodynamic material modeling, was applied to derive a model for topology optimization based on a novel conceptual structure: utilization of this thermodynamic approach resulted in an evolution equation for the local mass distribution as the update scheme during the iterative optimization process. Although this resulted in topologies comparable to those from classical optimization schemes, no direct linkage between these different approaches has yet been drawn. In this contribution, we present a detailed comparison of the new approach to the well-established SIMP approach. To this end, minor modifications of the original thermodynamic approach yield an optimization process with a numerical efficiency that is comparable to that of SIMP approaches. However, a great advantage of the new approach arises from results that are parameter- and mesh-independent, although neither filtering techniques nor gradient constraints are applied. Several 2D and 3D examples are discussed and serve as a profound basis for an extensive comparison, which also helps to reveal similarities and differences between the individual approaches.
Keywords
- Numerical comparison, SIMP, Thermodynamic topology optimization, Variational material modeling
ASJC Scopus subject areas
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In: Continuum Mechanics and Thermodynamics, Vol. 31, No. 2, 27.08.2019, p. 521-548.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Comparison of thermodynamic topology optimization with SIMP
AU - Jantos, Dustin Roman
AU - Riedel, Christopher
AU - Hackl, Klaus
AU - Junker, Philipp
N1 - Publisher Copyright: © 2018, Springer-Verlag GmbH Germany, part of Springer Nature. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2019/8/27
Y1 - 2019/8/27
N2 - Computationally efficient approaches to topology optimization usually include heuristic update and/or filtering schemes to overcome numerical problems such as the well-known checkerboarding phenomenon, local minima, and the associated mesh dependency. In a series of papers, Hamilton’s principle, which originates from thermodynamic material modeling, was applied to derive a model for topology optimization based on a novel conceptual structure: utilization of this thermodynamic approach resulted in an evolution equation for the local mass distribution as the update scheme during the iterative optimization process. Although this resulted in topologies comparable to those from classical optimization schemes, no direct linkage between these different approaches has yet been drawn. In this contribution, we present a detailed comparison of the new approach to the well-established SIMP approach. To this end, minor modifications of the original thermodynamic approach yield an optimization process with a numerical efficiency that is comparable to that of SIMP approaches. However, a great advantage of the new approach arises from results that are parameter- and mesh-independent, although neither filtering techniques nor gradient constraints are applied. Several 2D and 3D examples are discussed and serve as a profound basis for an extensive comparison, which also helps to reveal similarities and differences between the individual approaches.
AB - Computationally efficient approaches to topology optimization usually include heuristic update and/or filtering schemes to overcome numerical problems such as the well-known checkerboarding phenomenon, local minima, and the associated mesh dependency. In a series of papers, Hamilton’s principle, which originates from thermodynamic material modeling, was applied to derive a model for topology optimization based on a novel conceptual structure: utilization of this thermodynamic approach resulted in an evolution equation for the local mass distribution as the update scheme during the iterative optimization process. Although this resulted in topologies comparable to those from classical optimization schemes, no direct linkage between these different approaches has yet been drawn. In this contribution, we present a detailed comparison of the new approach to the well-established SIMP approach. To this end, minor modifications of the original thermodynamic approach yield an optimization process with a numerical efficiency that is comparable to that of SIMP approaches. However, a great advantage of the new approach arises from results that are parameter- and mesh-independent, although neither filtering techniques nor gradient constraints are applied. Several 2D and 3D examples are discussed and serve as a profound basis for an extensive comparison, which also helps to reveal similarities and differences between the individual approaches.
KW - Numerical comparison
KW - SIMP
KW - Thermodynamic topology optimization
KW - Variational material modeling
UR - http://www.scopus.com/inward/record.url?scp=85053212211&partnerID=8YFLogxK
U2 - 10.1007/s00161-018-0706-y
DO - 10.1007/s00161-018-0706-y
M3 - Article
VL - 31
SP - 521
EP - 548
JO - Continuum Mechanics and Thermodynamics
JF - Continuum Mechanics and Thermodynamics
SN - 0935-1175
IS - 2
ER -