Pentamodes: Effect of unit cell topology on mechanical properties
Pentamodes (first conceived theoretically by Milton and Cherkaev) are a very interesting class of mechanical metamaterials that can be used as building blocks of structures withdecoupled bulk and shear moduli. The pentamodes usually are composed of double cone-shaped struts with the middle diameter...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-06-01
|
| Series: | Results in Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590123024002354 |
| _version_ | 1797256348099936256 |
|---|---|
| author | Kaivan Mohammadi Moein Shafia Javad Akbari Reza Hedayati |
| author_facet | Kaivan Mohammadi Moein Shafia Javad Akbari Reza Hedayati |
| author_sort | Kaivan Mohammadi |
| collection | DOAJ |
| description | Pentamodes (first conceived theoretically by Milton and Cherkaev) are a very interesting class of mechanical metamaterials that can be used as building blocks of structures withdecoupled bulk and shear moduli. The pentamodes usually are composed of double cone-shaped struts with the middle diameter being large and the end diameters being tiny (ideally approaching zero). The cubic diamond geometry was proposed by Milton and Cherkaev as a suitable geometry for the unit cell and has since been used in the majority of the works on pentamodes. In this work, we aim to evaluate the degree to which the base unit cell design contributes to high bulk to shear modulus ratio, also known as Figure Of Merit(FOM). In addition to the diamond unit cell, three other well-known unit cell types are considered, and the effect of small diameter size and the ratio of large-to-small diameter, α, on the FOM is evaluated. The results showed that regardless of the base unit cell shape, the FOM value is highly dependent on the d (the smaller diameter size of double-cone) value, while its dependence on the D (the greater diameter of double-cone) value is very weak. For d/h∝0.05 (h representing the linkage length), figures of merit in the range of 103 could be reached for all the studied topologies. |
| first_indexed | 2024-04-24T22:20:19Z |
| format | Article |
| id | doaj.art-663f9dd6222f4aa1a25290fbd4c6b3af |
| institution | Directory Open Access Journal |
| issn | 2590-1230 |
| language | English |
| last_indexed | 2024-04-24T22:20:19Z |
| publishDate | 2024-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj.art-663f9dd6222f4aa1a25290fbd4c6b3af2024-03-20T06:11:06ZengElsevierResults in Engineering2590-12302024-06-0122101982Pentamodes: Effect of unit cell topology on mechanical propertiesKaivan Mohammadi0Moein Shafia1Javad Akbari2Reza Hedayati3Advanced Manufacturing Lab (AML), Department of Mechanical Engineering, Sharif University of Technology, Azadi Avenue, 11365-11155, Tehran, IranAdvanced Manufacturing Lab (AML), Department of Mechanical Engineering, Sharif University of Technology, Azadi Avenue, 11365-11155, Tehran, IranAdvanced Manufacturing Lab (AML), Department of Mechanical Engineering, Sharif University of Technology, Azadi Avenue, 11365-11155, Tehran, IranAerospace Materials and Structures Department, Faculty of Aerospace Engineering, Delft University of Technology (TU Delft), Kluyverweg 1, 2629, HS Delft, the Netherlands; Corresponding author.Pentamodes (first conceived theoretically by Milton and Cherkaev) are a very interesting class of mechanical metamaterials that can be used as building blocks of structures withdecoupled bulk and shear moduli. The pentamodes usually are composed of double cone-shaped struts with the middle diameter being large and the end diameters being tiny (ideally approaching zero). The cubic diamond geometry was proposed by Milton and Cherkaev as a suitable geometry for the unit cell and has since been used in the majority of the works on pentamodes. In this work, we aim to evaluate the degree to which the base unit cell design contributes to high bulk to shear modulus ratio, also known as Figure Of Merit(FOM). In addition to the diamond unit cell, three other well-known unit cell types are considered, and the effect of small diameter size and the ratio of large-to-small diameter, α, on the FOM is evaluated. The results showed that regardless of the base unit cell shape, the FOM value is highly dependent on the d (the smaller diameter size of double-cone) value, while its dependence on the D (the greater diameter of double-cone) value is very weak. For d/h∝0.05 (h representing the linkage length), figures of merit in the range of 103 could be reached for all the studied topologies.http://www.sciencedirect.com/science/article/pii/S2590123024002354PentamodesMetamaterialsMeta-fluids3D printing |
| spellingShingle | Kaivan Mohammadi Moein Shafia Javad Akbari Reza Hedayati Pentamodes: Effect of unit cell topology on mechanical properties Results in Engineering Pentamodes Metamaterials Meta-fluids 3D printing |
| title | Pentamodes: Effect of unit cell topology on mechanical properties |
| title_full | Pentamodes: Effect of unit cell topology on mechanical properties |
| title_fullStr | Pentamodes: Effect of unit cell topology on mechanical properties |
| title_full_unstemmed | Pentamodes: Effect of unit cell topology on mechanical properties |
| title_short | Pentamodes: Effect of unit cell topology on mechanical properties |
| title_sort | pentamodes effect of unit cell topology on mechanical properties |
| topic | Pentamodes Metamaterials Meta-fluids 3D printing |
| url | http://www.sciencedirect.com/science/article/pii/S2590123024002354 |
| work_keys_str_mv | AT kaivanmohammadi pentamodeseffectofunitcelltopologyonmechanicalproperties AT moeinshafia pentamodeseffectofunitcelltopologyonmechanicalproperties AT javadakbari pentamodeseffectofunitcelltopologyonmechanicalproperties AT rezahedayati pentamodeseffectofunitcelltopologyonmechanicalproperties |