Instability-induced pattern generation in architectured materials — A review of methods
Architectured materials exhibit unconventional properties directly linked to their geometry. When composed of slender elements, architectured materials can undergo large deformations exhibiting geometric non-linearities through buckling or snapping behaviours of the cell walls. This can create a new...
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| Published in | International journal of solids and structures Vol. 274; p. 112240 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.07.2023
Elsevier |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0020-7683 |
| DOI | 10.1016/j.ijsolstr.2023.112240 |
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| Abstract | Architectured materials exhibit unconventional properties directly linked to their geometry. When composed of slender elements, architectured materials can undergo large deformations exhibiting geometric non-linearities through buckling or snapping behaviours of the cell walls. This can create a new pattern in the material with different properties than the original structure. In this article, we present a review of methods for studying pattern generating architectured materials caused by elastic instabilities. We start by reviewing the relevant studies on a classical example : hexagonal honeycombs under compression. We highlight their importance in identifying the underlying bifurcation phenomenon and their contributions to the elaboration of methods for studying mesoscopic (unit-cell length) pattern changes in architectured materials. We then exhaustively review the methods and tools used up to now to study the post-bifurcated behaviour of such materials subject to elastic instabilities.
•Methods for instability-induced pattern generation in architectured materials are reviewed.•A historical example on regular hexagonal honeycombs is presented.•Group-theoretic approaches have been developed.•These methods are not limited to the field of architectured materials. |
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| AbstractList | Architectured materials exhibit unconventional properties directly linked to their geometry. When composed of slender elements, architectured materials can undergo large deformations exhibiting geometric non-linearities through buckling or snapping behaviours of the cell walls. This can create a new pattern in the material with different properties than the original structure. In this article, we present a review of methods for studying pattern generating architectured materials caused by elastic instabilities. We start by reviewing the relevant studies on a classical example : hexagonal honeycombs under compression. We highlight their importance in identifying the underlying bifurcation phenomenon and their contributions to the elaboration of methods for studying mesoscopic (unit-cell length) pattern changes in architectured materials. We then exhaustively review the methods and tools used up to now to study the post-bifurcated behaviour of such materials subject to elastic instabilities. Architectured materials exhibit unconventional properties directly linked to their geometry. When composed of slender elements, architectured materials can undergo large deformations exhibiting geometric non-linearities through buckling or snapping behaviours of the cell walls. This can create a new pattern in the material with different properties than the original structure. In this article, we present a review of methods for studying pattern generating architectured materials caused by elastic instabilities. We start by reviewing the relevant studies on a classical example : hexagonal honeycombs under compression. We highlight their importance in identifying the underlying bifurcation phenomenon and their contributions to the elaboration of methods for studying mesoscopic (unit-cell length) pattern changes in architectured materials. We then exhaustively review the methods and tools used up to now to study the post-bifurcated behaviour of such materials subject to elastic instabilities. •Methods for instability-induced pattern generation in architectured materials are reviewed.•A historical example on regular hexagonal honeycombs is presented.•Group-theoretic approaches have been developed.•These methods are not limited to the field of architectured materials. |
| ArticleNumber | 112240 |
| Author | Azulay, Rachel Dirrenberger, Justin Combescure, Christelle |
| Author_xml | – sequence: 1 givenname: Rachel orcidid: 0000-0001-7425-4415 surname: Azulay fullname: Azulay, Rachel email: rachel.j.azulay@gmail.com organization: Laboratoire PIMM, Arts et Metiers, CNRS, Cnam, HESAM Université, 75013 Paris, France – sequence: 2 givenname: Christelle orcidid: 0000-0002-4588-3682 surname: Combescure fullname: Combescure, Christelle organization: Univ. Bretagne Sud, UMR CNRS 6027, IRDL, F-56100 Lorient, France – sequence: 3 givenname: Justin orcidid: 0000-0002-3964-305X surname: Dirrenberger fullname: Dirrenberger, Justin organization: Laboratoire PIMM, Arts et Metiers, CNRS, Cnam, HESAM Université, 75013 Paris, France |
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| Keywords | Bifurcation Stability analysis Buckling Pattern generation Architectured materials |
| Language | English |
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| SubjectTerms | Architectured materials Bifurcation Buckling Engineering Sciences Materials and structures in mechanics Mechanics Pattern generation Stability analysis |
| Title | Instability-induced pattern generation in architectured materials — A review of methods |
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