Designing necks and wrinkles in inflated auxetic membranes
Venkata, Sairam Pamulaparthi Balbi, Valentina Destrade, Michel Zurlo, Giuseppe
Venkata, Sairam Pamulaparthi
Balbi, Valentina
Destrade, Michel
Zurlo, Giuseppe
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Repository DOI
Publication Date
2024-01-19
Type
journal article
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Citation
Pamulaparthi Venkata, Sairam, Balbi, Valentina, Destrade, Michel, & Zurlo, Giuseppe. (2024). Designing necks and wrinkles in inflated auxetic membranes. International Journal of Mechanical Sciences, 268, 109031. doi:https://doi.org/10.1016/j.ijmecsci.2024.109031
Abstract
This article presents the potentiality of inflatable, functionally-graded auxetic membranes to produce wrinkles and necks. We obtain elastic instabilities at desired locations in axisymmetric membranes and with prescribed patterns in square membranes. First, we use an analytical approach to obtain a series of universal results providing insights into the formation of wrinkles and necks in inflated, axisymmetric membranes. For example, we prove analytically that necks and wrinkles may never overlap in pressurized, axially symmetric membranes. Second, we implement the relaxed strain energy of tension field theory into a Finite Element solver (COMSOL). By tuning spatial inhomogeneities of the material moduli, we corroborate our universal results, describe the onset of wrinkling in an averaged way, and also generate non-trivial instabilities at desired locations. This study on membranes with morphing or corrugation on demand has potential applications in Braille reading and haptics.
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Publisher
Elsevier
Publisher DOI
10.1016/j.ijmecsci.2024.109031
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Attribution 4.0 International