Application of the isotropic material design and inverse homogenization in 3D printing

• Autorzy: Dzierżanowski G.
• Języki publikacji: EN

Abstrakty

EN

Homogenization-based approach to structural optimization and Free Material Design (FMD) technique are discussed in case of isotropy. The problem is elaborated from the perspective provided by: (i) the theory of composites and (ii) Isotropic Material Design (IMD) – a variant of FMD. Results provided by IMD are interpreted in light of the Hashin-Shtrikman bounds on the effective isotropic properties of material-void mixtures. This in turn provides practical guidelines for 3D printing.

Słowa kluczowe

EN

Hashin-Shtrikman bounds; Free Material Design; 3D printing

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2016
• Tom: Vol. 64, iss. 4
• Strony: 465--471
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Dzierżanowski G.

• Warsaw University of Technology Faculty of Civil Engineering Al. Armii Ludowej 16, 00-637 Warszawa, Poland

Bibliografia

• 1. Allaire G., Shape Optimization by the Homogenization Method, Springer-Verlag, New York, 2002.
• 2. Bourdin B., Kohn R.V., Optimization of structural topology in the high-porosity regime, Journal of the Mechanics and Physics of Solids, 56(3): 1043–1064, 2008, doi: 10.1016/j.jmps.2007.06.002
• 3. Czarnecki S., Isotropic material design, Computational Methods in Science and Technology, 21(2): 49–64, 2015, doi: 10.12921/cmst.2015.21.02.001
• 4. Czarnecki S., Lewiński T., The free material design in linear elasticity, [in:] Rozvany G.I.N., Lewiński T. [Eds.], Topology Optimization in Structural and Continuum Mechanics, International Centre for Mechanical Sciences, Courses and Lectures, Vol. 549, Springer Wien, CISM Udine, 2014, pp. 213–257.
• 5. Dzierżanowski G., Lewiński T., Compliance minimization of two-material elastic structures, [in:] Rozvany G.I.N., Lewiński T. [Eds.], Topology Optimization in Structural and Continuum Mechanics, International Centre for Mechanical Sciences, Courses and Lectures, Vol. 549, Springer Wien, CISM Udine, 2014, pp. 175–212.
• 6. Necas J., Hlavaček I., Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction, Elsevier, Amsterdam, 1981.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).