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Title:Image-modulated implicit-field design of graded re-entrant triply periodical minimal surface with stabilised auxetic response
Authors:ID Novak, Nejc (Author)
ID Al-Ketan, Oraib (Author)
ID Grebo, Alen (Author)
ID Krstulović-Opara, Lovre (Author)
ID Borovinšek, Matej (Author)
ID Ren, Zoran (Author)
ID Vesenjak, Matej (Author)
Files:URL https://onlinelibrary.wiley.com/doi/10.1002/pssb.70249
 
.pdf Physica_Status_Solidi_B.pdf (3,90 MB)
MD5: B88F5FC29816695E00612E189EBEFFF6
 
Language:English
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FS - Faculty of Mechanical Engineering
Abstract:This study examines the quasi-static compressive response of functionally graded auxetic triply periodic minimal surface (AUXTPMS) metamaterials designed to stabilise negative Poisson’s ratio behaviour at large strains. The proposed concept combines a re-entrant auxetic deformation mechanism with an in-plane porosity gradient generated through an image-modulated implicit-field workflow and isosurface extraction. Polymer (PA2200) and metal (stainless steel and aluminium) were tested in uniaxial compression, and transverse deformation was quantified using video image analysis complemented by digital image correlation. In contrast to uniform-porosity counterparts that exhibited early localisation and out-of-plane instability, the graded architectures promoted stable, sequential crushing and maintained a negative Poisson’s ratio over an extended strain range, with the re-entrant 1 × 1 configuration showing the most sustained auxetic response. Mechanical response analysis indicated that porosity gradation did not provide a universal increase in peak strength or stiffness-to-weight ratio, but it consistently improved deformation stability by suppressing out-of-plane buckling. Follow-on testing of the selected 1 × 1 design in aluminium and stainless steel demonstrated material-dependent specific energy absorption, reaching 2.63 and 5.05 J/g, respectively. Overall, the results identify porosity gradation as a key stabilisation strategy for practical auxetic TPMS architectures, enabling predictable deformation paths relevant to lightweight energy-absorbing and impact-mitigation applications.
Keywords:auxetic, buckling, gradation, materials science, metamaterial, porosity, specific energy, transverse plane
Publication status:Published
Publication version:Version of Record
Submitted for review:30.12.2025
Article acceptance date:13.05.2026
Publication date:28.05.2026
Publisher:Wiley
Year of publishing:2026
Number of pages:12 str.
Numbering:Vol. 263, issue 5
PID:20.500.12556/DKUM-98251 New window
UDC:539.2:004.92
ISSN on article:1521-3951
COBISS.SI-ID:279818243 New window
DOI:10.1002/pssb.70249 New window
Publication date in DKUM:29.05.2026
Views:189
Downloads:20
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Record is a part of a journal

Title:Physica status solidi : Basic research
Shortened title:Phys. status solidi, B Basic res.
Publisher:Akademie-Verlag
ISSN:1521-3951
COBISS.SI-ID:18979623 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P2-0063-2022
Name:Konstruiranje celičnih struktur

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J2-60049-2025
Name:Razvoj naprednih celičnih metamaterialov

Licences

License:CC BY ND NC 1.0, Creative Commons Attribution-NoDerivs-NonCommercial 1.0 Generic
Link:https://creativecommons.org/licenses/by-nd-nc/1.0
Description:You are free to reproduce and redistribute the material in any medium or format. You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.

Secondary language

Language:Slovenian
Keywords:avksetične strukture, upogibanje, digitalna korelacija slik, gradacija, znanost o materialih, meta materiali, poroznost, specifična energija, prečna ravnina


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