Instability-induced pattern generation in architectured materials — A review of methods

• Published in: International journal of solids and structures Vol. 274; p. 112240
• Main Authors: Azulay, Rachel, Combescure, Christelle, Dirrenberger, Justin
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.07.2023; Elsevier
• Subjects: Architectured materials; Bifurcation; Buckling; Engineering Sciences; Materials and structures in mechanics; Mechanics; Pattern generation; Stability analysis; Bifurcation; Stability analysis; Buckling; Pattern generation; Architectured materials
• ISSN: 0020-7683
• DOI: 10.1016/j.ijsolstr.2023.112240

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.