2021
DOI: 10.1002/gamm.202100013
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Additive manufacturing applications of phase‐field‐based topology optimization using adaptive isogeometric analysis

Abstract: In this contribution, we apply adaptive isogeometric analysis to a diffuse interface model for topology optimization. First, the influence of refinement and coarsening parameters on the optimization procedure are evaluated and discussed on a two-dimensional problem and a possible workflow to convert smooth isogeometric solutions into 3D printed products is described. Second, to assess the required numerical accuracy of the proposed simulation framework, numerical results obtained adopting different stopping cr… Show more

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Cited by 15 publications
(2 citation statements)
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“…Notice also that the splines used for optimization almost never coincide with the splines available via CAD and instead require manual reworking. In the field of topology optimization, key areas of research are on the one hand geometry representation for generative design, such as SIMP or ESO [11], but on the other hand also the reconstruction of the generated geometries [32,9]. This paper is only concerned with shape optimization and in particular vertex-based shape optimization.…”
mentioning
confidence: 99%
“…Notice also that the splines used for optimization almost never coincide with the splines available via CAD and instead require manual reworking. In the field of topology optimization, key areas of research are on the one hand geometry representation for generative design, such as SIMP or ESO [11], but on the other hand also the reconstruction of the generated geometries [32,9]. This paper is only concerned with shape optimization and in particular vertex-based shape optimization.…”
mentioning
confidence: 99%
“…The topology optimization aspect described above is reflected in [1]. The general problem is tackled by a phase field approach, wherein adaptive isogeometric analysis is used in terms of the numerical implementation.…”
mentioning
confidence: 99%