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Origami describes rules for creating folded structures from patterns on a flat sheet, but does not prescribe how patterns can be designed to fit target shapes. Here, starting from the simplest periodic origami pattern that yields one…

软凝聚态物质 · 物理学 2018-12-24 Levi H. Dudte , Etienne Vouga , Tomohiro Tachi , L. Mahadevan

Existing Civil Engineering structures have limited capability to adapt their configurations for new functions, non-stationary environments, or future reuse. Although origami principles provide capabilities of dense packaging and…

应用物理 · 物理学 2024-03-19 Yi Zhu , Evgueni T. Filipov

Bistable mechanical systems exhibit two stable configurations where the elastic energy is locally minimized. To realize such systems, origami techniques have been proposed as a versatile platform to design deployable structures with both…

最优化与控制 · 数学 2024-08-28 Luca Boisneault , Charles Audet , David Melancon

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…

度量几何 · 数学 2022-04-27 Johnna Farnham , Thomas C. Hull , Aubrey Rumbolt

A long-standing challenge in impact mitigation is the development of versatile and omnifarious protective structures capable of encompassing a wide spectrum of scenarios, for example, ranging from low-speed pedestrian impacts to high-speed…

Shape-morphing capabilities are crucial for enabling multifunctionality in both biological and artificial systems. Various strategies for shape morphing have been proposed for applications in metamaterials and robotics. However, few of…

机器人学 · 计算机科学 2023-12-01 Yanbin Li , Antonio Di Lallo , Junxi Zhu , Yinding Chi , Hao Su , Jie Yin

Non-Euclidean origami is a promising technique for designing multistable deployable structures folded from nonplanar developable surfaces. The impossibility of flat foldability inherent to non-Euclidean origami results in two disconnected…

软凝聚态物质 · 物理学 2023-07-20 Clark Addis , Salvador Rojas , Andres F. Arrieta

We consider the zero-energy deformations of periodic origami sheets with generic crease patterns. Using a mapping from the linear folding motions of such sheets to force-bearing modes in conjunction with the Maxwell-Calladine index theorem…

软凝聚态物质 · 物理学 2020-12-24 James McInerney , Bryan Gin-ge Chen , Louis Theran , Christian Santangelo , Zeb Rocklin

Rotational erection system (RES) represents an origami-based design method for generating a three-dimensional (3D) structure from a planar sheet without compression. Its rotational and translational kinematics is fully encoded in a form of…

软凝聚态物质 · 物理学 2021-08-23 Taiju Yoneda , Yoshinobu Miyamoto , Hirofumi Wada

Electro-thermally actuated origami provides a novel method for creating 3-D systems with advanced morphing and functional capabilities. However, it is currently difficult to simulate the multi-physical behavior of such systems because the…

机器人学 · 计算机科学 2022-04-14 Yi Zhu , Evgueni T. Filipov

Twisting sheets as a strategy to form functional yarns relies on millennia of human practice in making catguts and fabric wearables, but still lacks overarching principles to guide their intricate architectures. We show that twisted…

软凝聚态物质 · 物理学 2023-02-20 Julien Chopin , Arshad Kudrolli

Origami structures enabled by folding and unfolding can create complex 3D shapes. However, even a small 3D shape can have large 2D unfoldings. The huge initial dimension of the 2D flattened structure makes fabrication difficult, and defeats…

An exact transformation method is introduced that reduces the governing equations of a continuum structure coupled to strong nonlinearities to a low dimensional equation with memory. The method is general and well suited to problems with…

动力系统 · 数学 2014-03-05 Robert Szalai

Mechanism - collections of rigid elements coupled by perfect hinges which exhibit a zero-energy motion -- motivate the design of a variety of mechanical metamaterials. We significantly enlarge this design space by considering…

软凝聚态物质 · 物理学 2021-06-23 Nitin Singh , Martin van Hecke

The challenge in reconfigurable manipulation of sound waves using metasurfaces lies in achieving precise control over acoustic behavior while developing efficient and practical tuning methods for structural configurations. However, most…

Three-dimensional shells can be synthesized from the spontaneous self-folding of two-dimensional templates of interconnected panels, called nets. However, some nets are more likely to self-fold into the desired shell under random movements.…

数据结构与算法 · 计算机科学 2018-07-10 N. A. M. Araújo , R. A. da Costa , S. N. Dorogovtsev , J. F. F. Mendes

Exploring the dynamical response of mechanical metamaterials has gathered increasing attention in the last decades, enabling the design of microstructures exotically interacting with elastic waves (focusing, channeling, band-gaps, negative…

经典物理 · 物理学 2022-10-27 Leonardo A. Perez Ramirez , Gianluca Rizzi , Angela Madeo

Two classes of non-linear elastic materials are derived via two-dimensional homogenization. These materials are equivalent to a periodic grid of axially-deformable and axially-preloaded structural elements, subject to incremental…

经典物理 · 物理学 2025-03-25 Davide Bigoni , Andrea Piccolroaz

A continuum model of epithelial tissue mechanics was formulated using cellular-level mechanical ingredients and cell morphogenetic processes, including cellular shape changes and cellular rearrangements. This model can include finite…

组织与器官 · 定量生物学 2017-09-06 Shuji Ishihara , Philippe Marcq , Kaoru Sugimura

In this paper, we investigate some micromechanical aspects of elasto-plasticity in heterogeneous geomaterials. The aim is to upscale the elasto-plastic behavior for a representative volume of the material which is indeed a very challenging…

计算工程、金融与科学 · 计算机科学 2020-11-25 Mahdad Eghbalian , Mehdi Pouragha , Richard Wan