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  • Open Access

Corner topology makes woven baskets into stiff, yet resilient metamaterials

Guowei Wayne Tu1 and Evgueni T. Filipov1,2,*

  • 1Deployable and Reconfigurable Structures Laboratory, Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, Michigan, USA
  • 2Deployable and Reconfigurable Structures Laboratory, Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan, USA

  • *Contact author: filipov@umich.edu

Phys. Rev. Research 7, 033193 – Published 26 August, 2025

DOI: https://doi.org/10.1103/9srl-9gsc

Abstract

Basket weaving is a traditional craft used to create practical three-dimensional (3D) structures. While the geometry and aesthetics of baskets have received considerable attention, the underlying mechanics and modern engineering potential remain underexplored. This work shows that 3D woven structures offer similar stiffness yet substantially higher resilience than their nonwoven continuous counterparts. We explore corner topologies that serve as building blocks to convert two-dimensional woven sheets into 3D metamaterials that can carry compressive loads. Under small deformations, the woven corners exhibit axial stiffness similar to continuous structures because the woven ribbons are engaged with in-plane loads. Under large deformations, the woven corners can be compressed repeatedly without plastic damage because ribbons can undergo elastic local buckling. We present a modular platform to assemble woven corners into complex spatial metamaterials and demonstrate applications including damage-resilient robotic systems and metasurfaces with tailorable deformation modes. Our results explain the historic appeal of basket weaving, where readily available ribbons are crafted into 3D structures with comparable stiffness yet far superior resilience to continuous systems. The modular assembly of woven metamaterials can further revolutionize design of next-generation automotive components, consumer devices, soft robots, and more where both resilience and stiffness are essential.

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References (48)

  1. L. Lan et al., Woven organic crystals, Nat. Commun. 14, 7582 (2023).
  2. S. Wang et al., Smart wearable Kevlar-based safeguarding electronic textile with excellent sensing performance, Soft Matter 13, 2483 (2017).
  3. E. M. Parsons, T. Weerasooriya, S. Sarva, and S. Socrate, Impact of woven fabric: Experiments and mesostructure-based continuum-level simulations, J. Mech. Phys. Solids 58, 1995 (2010).
  4. E. M. Parsons, M. J. King, and S. Socrate, Modeling yarn slip in woven fabric at the continuum level: Simulations of ballistic impact, J. Mech. Phys. Solids 61, 265 (2013).
  5. D. P. August et al., Self-assembly of a layered two-dimensional molecularly woven fabric, Nature (London) 588, 429 (2020).
  6. I. Must, E. Sinibaldi, and B. Mazzolai, A variable-stiffness tendril-like soft robot based on reversible osmotic actuation, Nat. Commun. 10, 344 (2019).
  7. A. Maziz et al., Knitting and weaving artificial muscles, Sci. Adv. 3, e1600327 (2017).
  8. L. Zhang, M. Fairbanks, and T. L. Andrew, Rugged textile electrodes for wearable devices obtained by vapor coating off-the-shelf, plain-woven fabrics, Adv. Funct. Mater. 27, 1700415 (2017).
  9. X. Zhao et al., Soft fibers with magnetoelasticity for wearable electronics, Nat. Commun. 12, 6755 (2021).
  10. S. Backer, The relationship between the structural geometry of a textile fabric and its physical properties: Part IV: interstice geometry and air permeability, Text. Res. J. 21, 703 (1951).
  11. H. Granger-Taylor, Weaving clothes to shape in the ancient world: the Tunic and Toga of the Arringatore, Text. Hist. 13, 3 (1982).
  12. R. Wu et al., Silk composite electronic textile sensor for high space precision 2D combo temperature–pressure sensing, Small 15, 1901558 (2019).
  13. Y. Zhang et al., Elastic fibers/fabrics for wearables and bioelectronics, Adv. Sci. 9, 2203808 (2022).
  14. X. Shi et al., Large-area display textiles integrated with functional systems, Nature (London) 591, 240 (2021).
  15. L. Huang et al., Fiber-based energy conversion devices for human-body energy harvesting, Adv. Mater. 32, 1902034 (2020).
  16. Z. Chai et al., Tailorable and wearable textile devices for solar energy harvesting and simultaneous storage, ACS Nano 10, 9201 (2016).
  17. J. Chen et al., Micro-cable structured textile for simultaneously harvesting solar and mechanical energy, Nat. Energy 1, 16138 (2016).
  18. J. Xiong, J. Chen, and P. S. Lee, Functional fibers and fabrics for soft robotics, wearables, and human–robot interface, Adv. Mater. 33, 2002640 (2021).
  19. T. L. Buckner, X. Huang, and R. Kramer-Bottiglio, Untethered, dynamic robotic fabrics enabled by actively-rigid variable stiffness fibers, Adv. Funct. Mater. 34, 2404431 (2024).
  20. T. L. Buckner, R. A. Bilodeau, S. Y. Kim, and R. Kramer-Bottiglio, Roboticizing fabric by integrating functional fibers, Proc. Natl. Acad. Sci. USA 117, 25360 (2020).
  21. X. Hu, Y. Dou, J. Li, and Z. Liu, Buckled structures: fabrication and applications in wearable electronics, Small 15, 1804805 (2019).
  22. K. Suzuki and T. Ohzono, Wrinkles on a textile-embedded elastomer surface with highly variable friction, Soft Matter 12, 6176 (2016).
  23. M. Rajesh and J. Pitchaimani, Experimental investigation on buckling and free vibration behavior of woven natural fiber fabric composite under axial compression, Compos. Struct. 163, 302 (2017).
  24. F. Martínez-Sevilla et al., The earliest basketry in southern Europe: Hunter-gatherer and farmer plant-based technology in Cueva de los Murciélagos (Albuñol), Sci. Adv. 9, eadi3055 (2023).
  25. D. P. Huttenlocher, G. A. Klanderman, and W. J. Rucklidge, Comparing images using the Hausdorff distance, IEEE Trans. Pattern Anal. Mach. Intell. 15, 850 (1993).
  26. See Supplemental Material at http://link.aps.org/supplemental/10.1103/9srl-9gsc for details on fabrication, simulation, and experimental scanning. We also provide examples of more woven assemblies and more results on stiffness, resilience, and functional woven structures. The two supplemental videos show the woven versus continuous column in load bearing, buckling, and recovery and the woven versus continuous corner in cyclic load testing.
  27. S. Poincloux, C. Vallat, T. Chen, T. G. Sano, and P. M. Reis, Indentation and stability of woven domes, Extreme Mech. Lett. 59, 101968 (2023).
  28. G.-K. Song and B.-H. Sun, Buckling of ellipsoid grid-shells made of smooth triaxial weaving with naturally in-plane curved ribbons, Thin-Walled Struct. 191, 111060 (2023).
  29. C. Baek, A. G. Martin, S. Poincloux, T. Chen, and P. M. Reis, Smooth triaxial weaving with naturally curved ribbons, Phys. Rev. Lett. 127, 104301 (2021).
  30. Y. Ren et al., 3D weaving with curved ribbons, ACM Trans. Graphics 40, 127 (2021).
  31. U. Lewandowska et al., A triaxial supramolecular weave, Nat. Chem. 9, 1068 (2017).
  32. Y. Peng et al., Switchable pseudo-triaxial structure enabled mechanosensory textiles with ultra-wide detection range for flexible e-wearables, Adv. Funct. Mater. 34, 2411177 (2024).
  33. G. W. Tu and E. T. Filipov, Origami of multi-layered spaced sheets, J. Mech. Phys. Solids 190, 105730 (2024).
  34. E. Filipov, K. Liu, T. Tachi, M. Schenk, and G. H. Paulino, Bar and hinge models for scalable analysis of origami, Int. J. Solids Struct. 124, 26 (2017).
  35. Y. Zhu and E. T. Filipov, Rapid multi-physics simulation for electro-thermal origami systems, Int. J. Mech. Sci. 202-203, 106537 (2021).
  36. K. Fu, Z. Zhao, and L. Jin, Programmable granular metamaterials for reusable energy absorption, Adv. Funct. Mater. 29, 1901258 (2019).
  37. Y. Chen and L. Jin, Reusable energy-absorbing architected materials harnessing snapping-back buckling of wide hyperelastic columns, Adv. Funct. Mater. 31, 2102113 (2021).
  38. P. Jiang, S. Zhang, H. Yang, and Y. Li, Suture interface inspired self-recovery architected structures for reusable energy absorption, ACS Appl. Mater. Interfaces 15, 43102 (2023).
  39. R. Hibbeler, Mechanics of Materials, 10th ed. (Pearson, London, England, 2016).
  40. S. Peng, Z. Zhu, and Y. Wei, An analytic solution for bending of multilayered structures with interlayer-slip, Int. J. Mech. Sci. 282, 109642 (2024).
  41. R. V. Martinez, A. C. Glavan, C. Keplinger, A. I. Oyetibo, and G. M. Whitesides, Soft actuators and robots that are resistant to mechanical damage, Adv. Funct. Mater. 24, 3003 (2014).
  42. Z. Pei, X. Xiong, J. He, and Y. Zhang, Highly stretchable and durable conductive knitted fabrics for the skins of soft robots, Soft Rob. 6, 687 (2019).
  43. Y. Wang, C. Gregory, and M. A. Minor, Improving mechanical properties of molded silicone rubber for soft robotics through fabric compositing, Soft Rob. 5, 272 (2018).
  44. D. Shin et al., Woven fabric muscle for soft wearable robotic application using two-dimensional zigzag shape memory alloy actuator, Soft Rob. 11, 6 (2024).
  45. A. F. Yilmaz et al., Design and scalable fast fabrication of biaxial fabric pouch motors for soft robotic artificial muscle applications, Adv. Intell. Syst. 6, 2300888 (2024).
  46. X. Dong, G. Tu, L. Hu, and Z. Peng, Suppress chatter in milling of thin-walled parts via fixture with active support, J. Vib. Control 30, 1286 (2024).
  47. C. Wang, A. Roy, Z. Chen, and V. V. Silberschmidt, Braided textile composites for sports protection: energy absorption and delamination in impact modelling, Mater. Des. 136, 258 (2017).
  48. M. A. Abtew, F. Boussu, P. Bruniaux, C. Loghin, and I. Cristian, Engineering of 3D warp interlock p-aramid fabric structure and its energy absorption capabilities against ballistic impact for body armour applications, Compos. Struct. 225, 111179 (2019).

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