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Updated: May 31, 2026

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Published on: April 16, 2018

Entanglement-driven responses through multiscale 3D-printed knits.

Bradley Cline¹, Catherine Bai¹, Sehui Jeong²

¹Department of Mechanical and Aerospace Engineering, University of Houston, Houston, TX 77002.

Proceedings of the National Academy of Sciences of the United States of America

|May 28, 2026

Summary

This summary is machine-generated.

Knitting offers a new way to design strong, resilient materials using topology. This research shows how 3D-printed knits can create programmable mechanical properties in entangled solids.

Keywords:

architected materials filamentous entanglement knit textiles

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Area of Science:

Materials Science
Mechanics of Materials
Textile Engineering
Additive Manufacturing

Background:

Textiles derive toughness from topology, not just material properties.
Existing architected materials seldom leverage interlooping and sliding contacts for advanced behavior.
A quantitative framework linking stitch structure to mechanical behavior is lacking.

Purpose of the Study:

To reinterpret knitting as a general strategy for designing 3D entangled solids with programmable mechanics.
To develop a predictive quantitative framework for stitch structure and mechanical behavior.
To explore the potential of multimaterial 3D printing for creating novel knitted materials.

Main Methods:

Utilized a geometrically exact description of each stitch.
Employed multimaterial 3D printing, a topology-agnostic fabrication approach.
Created planar and volumetric knits with controlled loop parameters.

Main Results:

3D-printed knits exhibit programmable stiffness, strength, and energy dissipation controlled by loop parameters.
Printed fabrics accurately replicate the nonlinear, anisotropic, and hysteretic responses of conventional textiles.
A normalization method unifies the stress-strain behavior of diverse knits on a master curve.
Volumetric knits show tunable stiffness and dissipation via prestrain.
Fabricated knitted structures across scales, down to the micrometer level.

Conclusions:

Knitting serves as a versatile strategy for designing 3D entangled solids with tunable mechanical properties.
Multimaterial 3D printing enables precise control over the mechanics of knitted architectures.
Entangled filaments, through their topology, form a basis for new material architectures with encoded mechanics.