TY - JOUR
T1 - Multi-material thermomechanical topology optimization with applications to additive manufacturing
T2 - Design of main composite part and its support structure
AU - Giraldo-Londoño, Oliver
AU - Mirabella, Lucia
AU - Dalloro, Livio
AU - Paulino, Glaucio H.
N1 - Funding Information:
We acknowledge the financial support by Siemens, USA Corporate Technology for the project “Multi-material Topology Optimization with Arbitrary Volume Constraints – A Multi-physics Approach” and endowment provided by the Raymond Allen Jones Chair at the Georgia Institute of Technology . We also thank Mr. Fernando V. da Senhora for useful discussions, which helped improving both the formulation and the manuscript. The information presented in this paper is the sole opinion of the authors and does not necessarily reflect the views of the sponsors or sponsoring agencies.
Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2020/5/1
Y1 - 2020/5/1
N2 - This paper presents a density-based topology optimization formulation for the design of multi-material thermoelastic structures. The formulation is written in the form of a multi-objective topology optimization problem that considers two competing objective functions, one related to mechanical performance (mean compliance) and one related to thermal performance (either thermal compliance or temperature variance). To solve the optimization problem, we present an efficient design variable update scheme, which we have derived in the context of the Zhang–Paulino–Ramos (ZPR) update scheme by Zhang et al. (2018). The new update scheme has the ability to solve non-self-adjoint topology optimization problems with an arbitrary number of volume constraints, which can be imposed either to a subset of the candidate materials, or to sub-regions of the design domain, or to a combination of both. We present several examples that explore the ability of the formulation to obtain candidate Pareto fronts and to design support structures for additive manufacturing. Enabled by the ZPR update scheme, we are able to control the complexity and the length scale of the support structures by means of regional volume constraints.
AB - This paper presents a density-based topology optimization formulation for the design of multi-material thermoelastic structures. The formulation is written in the form of a multi-objective topology optimization problem that considers two competing objective functions, one related to mechanical performance (mean compliance) and one related to thermal performance (either thermal compliance or temperature variance). To solve the optimization problem, we present an efficient design variable update scheme, which we have derived in the context of the Zhang–Paulino–Ramos (ZPR) update scheme by Zhang et al. (2018). The new update scheme has the ability to solve non-self-adjoint topology optimization problems with an arbitrary number of volume constraints, which can be imposed either to a subset of the candidate materials, or to sub-regions of the design domain, or to a combination of both. We present several examples that explore the ability of the formulation to obtain candidate Pareto fronts and to design support structures for additive manufacturing. Enabled by the ZPR update scheme, we are able to control the complexity and the length scale of the support structures by means of regional volume constraints.
KW - Additive manufacturing
KW - Multi-physics
KW - Pareto front
KW - Thermomechanical analysis
KW - Topology optimization
KW - ZPR update scheme
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U2 - 10.1016/j.cma.2019.112812
DO - 10.1016/j.cma.2019.112812
M3 - Article
AN - SCOPUS:85079895308
SN - 0374-2830
VL - 363
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
M1 - 112812
ER -