A Reduced Order Model for Emergent Mechanics in Woven Systems
2026-06-22 • Robotics
Robotics
AI summaryⓘ
The authors developed a simpler and faster model to understand how woven materials behave mechanically, focusing on how the way the threads are arranged affects their stiffness and flexibility. Their model uses nodes and four key stiffness elements to represent how threads stretch, uncrimp, slide, and rub against each other. They tested the model against real bending and shear experiments and found it matches well. Using this model, they showed new insights about woven materials, like how they stretch unevenly and how forces change when threads start to pull out. This approach makes studying and designing woven materials easier and more practical.
Woven structuresAnisotropic stiffnessCrimp interchangeShear-induced lockingReduced-order modelEigenvalue analysisWeaver interactionsMechanical anisotropyThree-point bendingStress localization
Authors
Anvay A. Pradhan, Evgueni T. Filipov, Talia Y. Moore
Abstract
Woven structures exhibit rich mechanical behaviors including anisotropic stiffness, shear-induced locking, and crimp interchange that emerge purely from the geometric arrangement of individual weavers rather than from constituent material properties. Existing models either homogenize these interactions or resolve them at prohibitive computational cost. We introduce a reduced-order model that bridges this gap by representing individual weaver interactions through a system of nodes and four physically interpretable stiffness elements capturing axial deformation, in-plane uncrimping, inter-weaver shear, and frictional slip. Eigenvalue analysis of the unit cell confirms that the lowest-energy deformation modes correspond directly to known weave-specific phenomena, and that each element is necessary for a complete kinematic and mechanistic description. Element stiffness parameters are calibrated against empirical three-point bending and shear data, achieving agreement within 5% across varied weaver widths and spacings. The validated model is then applied to demonstrate capabilities beyond the reach of continuum approaches including: the emergent Poisson's response arising from crimp interchange, stepwise force reduction during progressive weaver pullout, stress localization under three distinct tearing configurations, and programmable mechanical anisotropy through spatially graded weaver stiffness. The physical transparency and computational efficiency of the framework position it as a practical tool for the analysis and design of woven architected materials with programmable mechanical response.