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In this article, a compliance minimisation scheme for designing spatially varying orthotropic porous structures is proposed. With the utilisation of conformal mapping, the porous structures here can be generated by two controlling field…

Numerical Analysis · Mathematics 2022-02-16 Shaoshuai Li , Yichao Zhu , Xu Guo

We investigate the graphs formed from the vertices and creases of an origami pattern that can be folded flat along all of its creases. As we show, this is possible for a tree if and only if the internal vertices of the tree all have even…

Computational Geometry · Computer Science 2019-07-16 David Eppstein

Hydrodynamic coupling of flexible flags in axial flows may profoundly influence their flapping dynamics, in particular driving their synchronization. This work investigates the effect of such coupling on the harvesting efficiency of coupled…

Fluid Dynamics · Physics 2016-09-13 Yifan Xia , Olivier Doare , Sebastien Michelin

This study introduces an innovative ventilation system, which leverages an origami-inspired structure to improve and regulate natural airflow driven by the stack effect, with applications in underground mines and buildings. The proposed…

Fluid Dynamics · Physics 2025-10-14 Ahmad F. Zueter , Ahmad S. Dalaq , Mohammed F. Daqaq

The dramatic effect kirigami, such as hole cutting, has on the elastic properties of thin sheets invites a study of the mechanics of thin elastic frames under an external load. Such frames can be thought of as modular elements needed to…

Soft Condensed Matter · Physics 2019-02-06 Michael Moshe , Edward Esposito , Suraj Shankar , Baris Bircan , Itai Cohen , David R. Nelson , Mark J. Bowick

Recent work has analysed how deformations due to the insertion of a defect in a flat hexagonal lattice affect the ground state structure of an interacting fermion field theory. Such modifications result in an increase of the order parameter…

High Energy Physics - Theory · Physics 2019-07-22 Antonino Flachi , Vincenzo Vitagliano

Permitting multiple materials within a topology optimization setting increases the search space of the technique, which facilitates obtaining high-performing and efficient optimized designs. Structures with multiple materials involving…

Computational Engineering, Finance, and Science · Computer Science 2023-05-16 Prabhat kumar

Rigid origami, with applications ranging from nano-robots to unfolding solar sails in space, describes when a material is folded along straight crease line segments while keeping the regions between the creases planar. Prior work has found…

Metric Geometry · Mathematics 2022-04-27 Johnna Farnham , Thomas C. Hull , Aubrey Rumbolt

Flow-Induced Vibrations (FIV) of an elastically mounted circular cylinder are investigated by means of two-dimensional simulations. A mechanical coupling between cross-flow translation and rotation provides a single degree-of-freedom system…

Fluid Dynamics · Physics 2024-07-11 Alessandro Nitti , Giovanni De Cillis , Marco . D. de Tullio

Reconfigurable mechanical systems enable precise programmable control over structural properties, opening new opportunities in architected materials, adaptive devices, and multifunctional structures. Here, we introduce elastic rod origami…

Applied Physics · Physics 2025-10-14 Sophie Leanza , Jeseung Lee , Ruike Renee Zhao

Recent advances enable the creation of nanoscale building blocks with complex geometries and interaction specificities for self-assembly. This nearly boundless design space necessitates design principles for defining the mutual interactions…

Soft Condensed Matter · Physics 2024-03-29 Daichi Hayakawa , Thomas E. Videbæk , Gregory M. Grason , W. Benjamin Rogers

We explore the surprisingly rich energy landscape of origami-like folding planar structures. We show that the configuration space of rigid-paneled degree-4 vertices, the simplest building blocks of such systems, consists of at least two…

Soft Condensed Matter · Physics 2017-09-26 Scott Waitukaitis , Rémi Menaut , Bryan Gin-ge Chen , Martin van Hecke

An adjoint-based optimization is applied to study the thrust performance of a pitching-rolling ellipsoidal plate in a uniform stream at Reynolds number 100. To achieve the highest thrust, the optimal kinematics of pitching-rolling motion is…

Fluid Dynamics · Physics 2018-09-13 Min Xu , Mingjun Wei , Chengyu Li , Haibo Dong

Much work has been done in topology optimization of multiscale structures for maximum stiffness or minimum compliance design. Such approaches date back to the original homogenization-based work by Bends{\o}e and Kikuchi from 1988, which…

Computational Engineering, Finance, and Science · Computer Science 2023-05-01 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

The ordering of rod-like particles in soft, deformable containers emerges from the interplay of anisotropic interactions, geometric confinement, and boundary compliance. This competition couples internal particle organization to container…

Soft Condensed Matter · Physics 2026-05-22 Stijn van der Ham , André F. V. Matias , Marjolein Dijkstra , Hanumantha Rao Vutukuri

The purpose of this work is two-fold. First, we introduce an efficient homogenization-based approach to perform topology optimization of coated structures with orthotropic infill material. By making use of the relaxed design space, we can…

Computational Engineering, Finance, and Science · Computer Science 2018-08-15 Jeroen Groen , Jun Wu , Ole Sigmund

Recent research on mobile robots has focused on increasing their adaptability to unpredictable and unstructured environments using soft materials and structures. However, the determination of key design parameters and control over these…

Robotics · Computer Science 2024-03-20 Keqi Zhu , Haotian Guo , Wei Yu , Hassen Nigatu , Tong Li , Huixu Dong

Origami is the art of paper folding, and it borrows its name from two Japanese words \emph{ori} and \emph{kami}. In Japanese, {ori} means folding, and the paper is called {kami}. While origami is just a hobby to most, there is a lot more to…

History and Overview · Mathematics 2025-03-18 Archana S. Morye

Motivated by a question of Tsai-Tsui-Wang, we consider the rigidity of map from manifolds with positive Ricci curvature to manifolds with positive sectional curvature. We show that if the Ricci curvature of the domain dominates that of the…

Differential Geometry · Mathematics 2024-11-25 Man-Chun Lee , Jingbo Wan

The ability to transform a flat sheet into a complex three-dimensional structure is a fundamental test of physical intelligence. Unlike cloth manipulation, origami is governed by strict geometric axioms and hard kinematic constraints, where…

Graphics · Computer Science 2026-04-06 Yanjia Huang , Yunuo Chen , Ying Jiang , Jinru Han , Zhengzhong Tu , Yin Yang , Chenfanfu Jiang