Details
| Original language | English |
|---|---|
| Pages (from-to) | 2135-2154 |
| Number of pages | 20 |
| Journal | Structural and Multidisciplinary Optimization |
| Volume | 61 |
| Issue number | 5 |
| Early online date | 14 Feb 2020 |
| Publication status | Published - May 2020 |
Abstract
In a recent publication, an approach to optimize the orientation of anisotropic materials was presented. This strategy was embedded into the thermodynamic topology optimization based on growth. In this paper, we show that the thermodynamic orientation optimization can also be used in more classical approaches to topology optimization. We furthermore enhance the approach by a novel filtering technique to provide control over the smoothness of the pathway of principal material directions, i.e., the curvature of fibers. The filter is based on a convolution operator and is applied to the material stiffness tensor, so that the filtering technique is not directly bounded to the actual parameterization for the design variables. To this end, the topology is defined by a continuous density approach with penalization of intermediate densities (SIMP) solved via the optimality criteria method (OCM). A set of three continuous Euler angles is used as additional design variables to describe the local material rotation of the anisotropic base material. The thermodynamic optimization of the material orientation is performed by evolution of the Euler angles to minimize the elastic energy. The related evolution equations are derived by means of the Hamilton principle, well-known from material modeling.
Keywords
- Anisotropic material, Continous fiber angle optimization, Material orientation filter, Thermodynamic optimization, Topology optimization
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Computer Science Applications
- Computer Science(all)
- Computer Graphics and Computer-Aided Design
- Mathematics(all)
- Control and Optimization
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In: Structural and Multidisciplinary Optimization, Vol. 61, No. 5, 05.2020, p. 2135-2154.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Topology optimization with anisotropic materials, including a filter to smooth fiber pathways
AU - Jantos, Dustin Roman
AU - Hackl, Klaus
AU - Junker, Philipp
PY - 2020/5
Y1 - 2020/5
N2 - In a recent publication, an approach to optimize the orientation of anisotropic materials was presented. This strategy was embedded into the thermodynamic topology optimization based on growth. In this paper, we show that the thermodynamic orientation optimization can also be used in more classical approaches to topology optimization. We furthermore enhance the approach by a novel filtering technique to provide control over the smoothness of the pathway of principal material directions, i.e., the curvature of fibers. The filter is based on a convolution operator and is applied to the material stiffness tensor, so that the filtering technique is not directly bounded to the actual parameterization for the design variables. To this end, the topology is defined by a continuous density approach with penalization of intermediate densities (SIMP) solved via the optimality criteria method (OCM). A set of three continuous Euler angles is used as additional design variables to describe the local material rotation of the anisotropic base material. The thermodynamic optimization of the material orientation is performed by evolution of the Euler angles to minimize the elastic energy. The related evolution equations are derived by means of the Hamilton principle, well-known from material modeling.
AB - In a recent publication, an approach to optimize the orientation of anisotropic materials was presented. This strategy was embedded into the thermodynamic topology optimization based on growth. In this paper, we show that the thermodynamic orientation optimization can also be used in more classical approaches to topology optimization. We furthermore enhance the approach by a novel filtering technique to provide control over the smoothness of the pathway of principal material directions, i.e., the curvature of fibers. The filter is based on a convolution operator and is applied to the material stiffness tensor, so that the filtering technique is not directly bounded to the actual parameterization for the design variables. To this end, the topology is defined by a continuous density approach with penalization of intermediate densities (SIMP) solved via the optimality criteria method (OCM). A set of three continuous Euler angles is used as additional design variables to describe the local material rotation of the anisotropic base material. The thermodynamic optimization of the material orientation is performed by evolution of the Euler angles to minimize the elastic energy. The related evolution equations are derived by means of the Hamilton principle, well-known from material modeling.
KW - Anisotropic material
KW - Continous fiber angle optimization
KW - Material orientation filter
KW - Thermodynamic optimization
KW - Topology optimization
UR - http://www.scopus.com/inward/record.url?scp=85079489827&partnerID=8YFLogxK
U2 - 10.1007/s00158-019-02461-x
DO - 10.1007/s00158-019-02461-x
M3 - Article
VL - 61
SP - 2135
EP - 2154
JO - Structural and Multidisciplinary Optimization
JF - Structural and Multidisciplinary Optimization
SN - 1615-147X
IS - 5
ER -