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We investigate the out-of-plane shape morphing capability of single-material elastic sheets with architected cut patterns that result in arrays of tiles connected by flexible hinges. We demonstrate that a non-periodic cut pattern can cause…

The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology. The morphings are obtained by deforming a reference shape, through the resolution of a sequence of linear…

Numerical Analysis · Mathematics 2025-02-04 Abbas Kabalan , Fabien Casenave , Felipe Bordeu , Virginie Ehrlacher , Alexandre Ern

Snap-through occurs in elastic structures when a stable equilibrium configuration becomes unstable, resulting in rapid motion towards a new and distinct stable state. While static analyses of snap-through are well documented, the dynamics…

Soft Condensed Matter · Physics 2026-04-13 William Simpkins , Matthew G. Hennessy , Matteo Taffetani

Topologically interlocked materials and structures, which are assemblies of unbonded interlocking building blocks, are promising concepts for versatile structural applications. They have been shown to exhibit exceptional mechanical…

Numerical Analysis · Mathematics 2023-05-24 Ioannis Koureas , Mohit Pundir , Shai Feldfogel , David S. Kammer

We revisit the classic stability problem of the buckling of an inextensible, axially compressed beam on a nonlinear elastic foundation with a semi-analytical approach to understand how spatially localized deformation solutions emerge in…

Pattern Formation and Solitons · Physics 2020-09-03 Shrinidhi S. Pandurangi , Ryan S. Elliott , Timothy J. Healey , Nicolas Triantafyllidis

The bistability of embedded elements provides a natural route through which to introduce reprogrammability to elastic meta-materials. One example of this is the soft morphable sheet, in which bistable elements that can be snapped up or…

Soft Condensed Matter · Physics 2022-12-21 Mingchao Liu , Lucie Domino , Iris Dupont de Dinechin , Matteo Taffetani , Dominic Vella

Many elastic structures exhibit rapid shape transitions between two possible equilibrium states: umbrellas become inverted in strong wind and hopper popper toys jump when turned inside-out. This snap-through is a general motif for the…

Soft Condensed Matter · Physics 2023-06-21 Basile Radisson , Eva Kanso

In this paper, we propose a novel design and fabrication strategy to produce architected core structures for use as the core in composite sandwich structures. A traditional foam core or honeycomb structure is lightweight and stiff, but…

Applied Physics · Physics 2021-11-29 Vinay Damodaran , Anna Hahm , Pavana Prabhakar

The morphing of 3D structures is suitable for i) future tunable material design for customizing material properties and ii) advanced manufacturing tools for fabricating 3D structures on a 2D plane. However, there is no inverse design method…

Materials Science · Physics 2023-10-24 Kai Xiao , Yuhao Wang , Chao Song , Bihui Zou , Zihe Liang , Heeseung Han , Yilin Du , Hanqing Jiang , Jaehyung Ju

Inspired by the quest for shape-shifting structures in a range of applications, we show how to create morphable structural materials using a neutrally stable unit cell as a building block. This unit cell is a self-stressed hinged structure…

Soft Condensed Matter · Physics 2021-10-18 Gaurav Chaudhary , S Ganga Prasath , Edward Soucy , L Mahadevan

We investigate the effect of a constant static bias force on the dynamically induced shape morphing of a pre-buckled bistable beam, focusing on the beam's ability to change its vibration to be near different stable states under harmonic…

Chaotic Dynamics · Physics 2025-03-28 Md Nahid Hasan , Sharat Paul , Taylor E. Greenwood , Robert G. Parker , Yong Lin Kong , Pai Wang

Elastic instabilities such as buckling and snapping have evolved into a powerful design principle, enabling memory, sequential shape morphing, and computing in metamaterials and devices. Modifying the post-buckling configurations or their…

Soft Condensed Matter · Physics 2025-09-10 Bernat Durà Faulí , Lennard Kwakernaak , Martin van Hecke

We present a robust method to find region-level correspondences between shapes, which are invariant to changes in geometry and applicable across multiple shape representations. We generate simplified shape graphs by jointly decomposing the…

Graphics · Computer Science 2018-03-06 Yanir Kleiman , Maks Ovsjanikov

An elastic arch is an archetypal bistable system. Here, we combine elastica theory and photo-mechanical experiments to elucidate the mechanics of an active arch with a spatio-temporally varying preferred curvature $\overline \kappa(s)$. Our…

Soft Condensed Matter · Physics 2026-01-13 Michał Zmyślony , Ammar Khan , John S. Biggins

We consider the dynamic snapping instability of elastic beams and shells. Using the Kirchhoff rod and F\"{o}ppl-von K\'{a}rm\'{a}n plate equations, we study the stability, deformation modes, and snap-through dynamics of an elastic arch with…

Soft Condensed Matter · Physics 2014-02-24 Anupam Pandey , Derek E. Moulton , Dominic Vella , Douglas P. Holmes

A collection of thin structures buckle, bend, and bump into each-other when confined. This contact can lead to the formation of patterns: hair will self-organize in curls; DNA strands will layer into cell nuclei; paper, when crumpled, will…

Soft Condensed Matter · Physics 2023-04-19 Arman Guerra , Anja Slim , Douglas P. Holmes , Ousmane Kodio

We propose a novel learnable representation for detail-preserving shape deformation. The goal of our method is to warp a source shape to match the general structure of a target shape, while preserving the surface details of the source. Our…

Graphics · Computer Science 2020-03-20 Wang Yifan , Noam Aigerman , Vladimir G. Kim , Siddhartha Chaudhuri , Olga Sorkine-Hornung

We investigate the mechanics of bistable, hard-magnetic, elastic beams, combining experiments, finite element modeling (FEM), and a reduced-order theory. The beam is made of a hard magneto-rheological elastomer, comprising two segments with…

Soft Condensed Matter · Physics 2023-02-22 Arefeh Abbasi , Tomohiko G. Sano , Dong Yan , Pedro M. Reis

Shape change enables new capabilities for robots. One class of robots capable of dramatic shape change is soft growing "vine" robots. These robots usually feature global actuation methods for bending that limit them to simple,…

Robotics · Computer Science 2023-03-07 Rianna Jitosho , Sofia Simon-Trench , Allison M. Okamura , Brian H. Do

We present a novel, physically-based morphing technique for elastic shapes, leveraging the differentiable material point method (MPM) with space-time control through per-particle deformation gradients to accommodate complex topology…

Graphics · Computer Science 2025-09-16 Michael Xu , Chang-Yong Song , David I. W. Levin , David Hyde
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