Design of low-porosity auxetic tessellations with reduced mechanical stress concentrations

Two-dimensional tessellations of alternating high-aspect ratio voids, such as ellipses, are known to induce auxetic behavior in engineering materials. An undesirable side effect of using high-aspect ratio shapes is an increased stress concentration at the ends of the voids. A novel rational process...

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Bibliographic Details
Published inExtreme Mechanics Letters Vol. 48; p. 101401
Main Authors Velásquez, M. Barillas, Francesconi, L., Taylor, M.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2021
Subjects
Auxetic
Finite elements
Metamaterials
Optimization
Superformula
Finite elements
Metamaterials
Auxetic
Optimization
Superformula
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Summary:Two-dimensional tessellations of alternating high-aspect ratio voids, such as ellipses, are known to induce auxetic behavior in engineering materials. An undesirable side effect of using high-aspect ratio shapes is an increased stress concentration at the ends of the voids. A novel rational process for designing auxetic tessellations with reduced stress concentration using Gielis’ Superformula and Nelder–Mead optimization is presented in this work. Results lead to an end-shape with a peak stress nearly 40% less than that of a comparable baseline circular stop-hole end-shape at the same porosity.
ISSN:2352-4316
2352-4316
DOI:10.1016/j.eml.2021.101401