Programmable wrinkling for functionally-graded auxetic circular membranes
Venkata, Sairam Pamulaparthi Balbi, Valentina Destrade, Michel Accoto, Dino Zurlo, Giuseppe
Venkata, Sairam Pamulaparthi
Balbi, Valentina
Destrade, Michel
Accoto, Dino
Zurlo, Giuseppe
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Publication Date
2023-07-13
Type
Article
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Venkata, Sairam Pamulaparthi, Balbi, Valentina, Destrade, Michel, Accoto, Dino, & Zurlo, Giuseppe. (2023). Programmable wrinkling for functionally-graded auxetic circular membranes. Extreme Mechanics Letters, 63, 102045. doi:https://doi.org/10.1016/j.eml.2023.102045
Abstract
Materials with negative Poisson¿s ratio, also known as auxetic materials, display exotic properties such as expansion in all directions under uni-axial tension. For their unique properties, these materials find a broad range of applications in robotic, structural, aerospace, and biomedical engineering. In this work we study the wrinkling behavior of thin and soft auxetic membranes, subjected to edge tractions. We show that spatial inhomogeneities of the Young modulus and of the Poisson ratio can be suitably tailored to produce non-trivial wrinkling patterns, with wrinkled regions that can appear, broaden, merge, and eventually disappear again, as the magnitude of applied tractions is increased monotonically. To model wrinkling in a functionally graded membrane, we employ the mathematically elegant and physically transparent tension field theory, an approximated method that we implement in commercially available software. Beyond unveiling the challenging technological potential to achieve non-standard wrinkling on demand in auxetic membranes, our study also confirms the potential of using tension field theory to study, analytically and numerically, instabilities in functionally graded materials.
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Publisher
Elsevier
Publisher DOI
10.1016/j.eml.2023.102045
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Attribution 4.0 International (CC BY 4.0)