Defect positioning in combinatorial metamaterials
Combinatorial mechanical metamaterials are made of anisotropic, flexible blocks, such that multiple metamaterials may be constructed using a single block type, and the system's response depends on the frustration (or its absence) due to the mutual orientations of the blocks within the lattice....
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/mvrj-b33t |
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| _version_ | 1849422721904017408 |
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| author | Chaviva Sirote-Katz Yotam M. Y. Feldman Guy Cohen Tamás Kálmán Yair Shokef |
| author_facet | Chaviva Sirote-Katz Yotam M. Y. Feldman Guy Cohen Tamás Kálmán Yair Shokef |
| author_sort | Chaviva Sirote-Katz |
| collection | DOAJ |
| description | Combinatorial mechanical metamaterials are made of anisotropic, flexible blocks, such that multiple metamaterials may be constructed using a single block type, and the system's response depends on the frustration (or its absence) due to the mutual orientations of the blocks within the lattice. Specifically, any minimal loop of blocks that may not simultaneously deform in their softest mode defines a mechanical defect at the vertex (in two dimensions) or edge (in three dimensions) that the loop encircles. Defects stiffen the metamaterial, and allow one to design the spatial patterns of stress and deformation as the system is externally loaded. We study the ability to place defects at arbitrary positions in metamaterials made of a family of block types that we recently introduced for the square, honeycomb, and cubic lattices. Alongside blocks for which we show that any defect configuration is possible, we identify situations in which not all sets are realizable as defects. One of the restrictions is that in three dimensions, defected edges form closed curves. Even in cases when not all geometries of defect lines are possible, we show how to produce defect lines of arbitrary knottedness. |
| format | Article |
| id | doaj-art-fd5fbcf56e05410e8ec70a721df5d3e7 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-fd5fbcf56e05410e8ec70a721df5d3e72025-08-20T03:30:56ZengAmerican Physical SocietyPhysical Review Research2643-15642025-07-017303300510.1103/mvrj-b33tDefect positioning in combinatorial metamaterialsChaviva Sirote-KatzYotam M. Y. FeldmanGuy CohenTamás KálmánYair ShokefCombinatorial mechanical metamaterials are made of anisotropic, flexible blocks, such that multiple metamaterials may be constructed using a single block type, and the system's response depends on the frustration (or its absence) due to the mutual orientations of the blocks within the lattice. Specifically, any minimal loop of blocks that may not simultaneously deform in their softest mode defines a mechanical defect at the vertex (in two dimensions) or edge (in three dimensions) that the loop encircles. Defects stiffen the metamaterial, and allow one to design the spatial patterns of stress and deformation as the system is externally loaded. We study the ability to place defects at arbitrary positions in metamaterials made of a family of block types that we recently introduced for the square, honeycomb, and cubic lattices. Alongside blocks for which we show that any defect configuration is possible, we identify situations in which not all sets are realizable as defects. One of the restrictions is that in three dimensions, defected edges form closed curves. Even in cases when not all geometries of defect lines are possible, we show how to produce defect lines of arbitrary knottedness.http://doi.org/10.1103/mvrj-b33t |
| spellingShingle | Chaviva Sirote-Katz Yotam M. Y. Feldman Guy Cohen Tamás Kálmán Yair Shokef Defect positioning in combinatorial metamaterials Physical Review Research |
| title | Defect positioning in combinatorial metamaterials |
| title_full | Defect positioning in combinatorial metamaterials |
| title_fullStr | Defect positioning in combinatorial metamaterials |
| title_full_unstemmed | Defect positioning in combinatorial metamaterials |
| title_short | Defect positioning in combinatorial metamaterials |
| title_sort | defect positioning in combinatorial metamaterials |
| url | http://doi.org/10.1103/mvrj-b33t |
| work_keys_str_mv | AT chavivasirotekatz defectpositioningincombinatorialmetamaterials AT yotammyfeldman defectpositioningincombinatorialmetamaterials AT guycohen defectpositioningincombinatorialmetamaterials AT tamaskalman defectpositioningincombinatorialmetamaterials AT yairshokef defectpositioningincombinatorialmetamaterials |