Mechanical and Acoustic Behavior of 3D‐Printed Hierarchical Mathematical Fractal Menger Sponge. Issue 4 (1st February 2021)

• Record Type: Journal Article
• Authors: Kushwaha, Brijesh; Dwivedi, Kush; Ambekar, Rushikesh S.; Pal, Varinder; Jena, Dibya Prakash; Mahapatra, Debiprosad Roy; Tiwary, Chandra Sekhar
• Is Part Of: Advanced engineering materials. Volume 23:Issue 4(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-02-01
• Subjects: acoustic properties -- fractals -- mechanical behaviors -- Menger sponges -- three-dimensional printing; Materials -- Periodicals; 620.11
• DOI: 10.1002/adem.202001471
• Languages: English
• ISSNs: 1438-1656

Abstract

Abstract : Structural materials that feature hierarchical architectures (e.g., fractals) display remarkable mechanical properties. Menger sponge is one of the fractal geometries defined in Mathematics and made up of a unit cube with three orthogonal cavities. The precise fractal dimensions are fabricated using 3D printing. Experiments and simulations are conducted on the structure under uniaxial compression. The effect of increasing the levels of orthogonal cavities of the Menger sponge structure as well as the changing shape of the cavity are studied. The results show an interesting correlation between mechanical properties and the effective density of the structure. Multiple levels of hierarchy are analyzed in terms of different cavity shapes. These comparisons suggest that hierarchical structures are used to obtain better performance with a lower effective density of the resulting structures. Damage initiation for the different cavity shapes shows how each of the cavity shapes behaves under compressive loading. Herein, it is discerned how hierarchical architecture is used to access the unique properties of structures, providing insight into the role of design in regulating the mechanical properties of such mechanical structures. The result of acoustic investigation shows that it is a better absorber as compared with commercial sponge in the low‐frequency regime. Abstract : Fractals are hierarchical and are known to exhibit excellent performance as structural materials. The 3D printing technique is used for fabrication of fractals (Menger sponge) of different levels and cavity shapes. Experiments and simulations are conducted on the Menger sponge structure under uniaxial compression. The result of acoustic investigation shows that it is a good absorber in the low‐frequency regime.