Simultaneous parametric material and topology optimization with constrained material grading

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autorinnen und Autoren: Greifenstein J, Stingl M
Zeitschrift: Structural and Multidisciplinary Optimization
Verlag: Springer Verlag (Germany)
Jahr der Veröffentlichung: 2016
Seitenbereich: 1-14
ISSN: 1615-147X


Abstract


We consider the problem of parametric material and simultaneous topology optimization of an elastic continuum. To ensure existence of solutions to the proposed optimization problem and to enable the imposition of a deliberate maximal material grading, two approaches are adopted and combined. The first imposes pointwise bounds on design variable gradients, whilst the second applies a filtering technique based on a convolution product. For the topology optimization, the parametrized material is multiplied with a penalized continuous density variable. We suggest a finite element discretization of the problem and provide a proof of convergence for the finite element solutions to solutions of the continuous problem. The convergence proof also implies the absence of checkerboards. The concepts are demonstrated by means of numerical examples using a number of different material parametrizations and comparing the results to global lower bounds.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Greifenstein, Jannis
Sonderforschungsbereich 814/3 Additive Fertigung
Stingl, Michael Prof. Dr.
Professur für Angewandte Mathematik (Kontinuierliche Optimierung)


Zitierweisen

APA:
Greifenstein, J., & Stingl, M. (2016). Simultaneous parametric material and topology optimization with constrained material grading. Structural and Multidisciplinary Optimization, 1-14. https://dx.doi.org/10.1007/s00158-016-1457-7

MLA:
Greifenstein, Jannis, and Michael Stingl. "Simultaneous parametric material and topology optimization with constrained material grading." Structural and Multidisciplinary Optimization (2016): 1-14.

BibTeX: 

Zuletzt aktualisiert 2018-02-08 um 16:53