Journal article
Interpolation scheme for fictitious domain techniques and topology optimization of finite strain elastic problems
Department of Mechanical Engineering, Technical University of Denmark1
Solid Mechanics, Department of Mechanical Engineering, Technical University of Denmark2
Department of Electrical Engineering, Technical University of Denmark3
Acoustic Technology, Department of Electrical Engineering, Technical University of Denmark4
The focus of this paper is on interpolation schemes for fictitious domain and topology optimization approaches with structures undergoing large displacements. Numerical instability in the finite element simulations can often be observed, due to excessive distortion in low stiffness regions. A new energy interpolation scheme is proposed in order to stabilize the numerical simulations.
The elastic energy density in the solid and void regions is interpolated using the elastic energy densities for large and small deformation theory, respectively. The performance of the proposed method is demonstrated for a challenging test geometry as well as for topology optimization of minimum compliance and compliant mechanisms.
The effect of combining the proposed interpolation scheme with different hyperelastic material models is investigated as well. Numerical results show that the proposed approach alleviates the problems in the low stiffness regions and for the simulated cases, results in stable topology optimization of structures undergoing large displacements. © 2014 Elsevier B.V.
Language: | English |
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Year: | 2014 |
Pages: | 453-472 |
ISSN: | 18792138 and 00457825 |
Types: | Journal article |
DOI: | 10.1016/j.cma.2014.03.021 |
ORCIDs: | Wang, Fengwen , Lazarov, Boyan Stefanov , Sigmund, Ole and Jensen, Jakob Søndergaard |
Deformation Elastic energy density Elasticity Energy interpolation Ersatz material models Fictitious domain Fictitious domains Finite element simulations Hyperelastic material model Hyperelastic material models Interpolation Interpolation schemes Large deformation Material models Mechanisms Numerical instability Optimization approach Shape optimization Stiffness Topology optimization