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Designing and fabricating structures with specific mechanical properties requires understanding the intricate relationship between design parameters and performance. Understanding the design-performance relationship becomes increasingly…

Graphics · Computer Science 2024-08-28 Samuel Silverman , Kelsey L. Snapp , Keith A. Brown , Emily Whiting

Topologically interlocked structures are assemblies of interlocking blocks that hold together solely through contact. Such structures have been shown to exhibit high strength, energy dissipation, and crack arrest properties. Recent studies…

Numerical Analysis · Mathematics 2023-10-02 Ioannis Koureas , Mohit Pundir , Shai Feldfogel , David S. Kammer

Abstract. We present a framework for the kinematics of a material body undergoing anelastic deformation. For such processes, the material structure of the body, as reflected by the geometric structure given to the set of body points,…

Mathematical Physics · Physics 2023-01-23 Vladimir Goldshtein , Paolo Maria Mariano , Domenico Mucci , Reuven Segev

A large family of deployable filamentary structures can be built by connecting two elastic rods along their length. The resulting structure has interesting shapes that can be stabilized by tuning the material properties of each rod. To…

Classical Analysis and ODEs · Mathematics 2016-04-26 Thomas Lessinnes , Alain Goriely

Recent experiments have exploited elastic instabilities in membranes to create complex patterns. However, the rational design of such structures poses many challenges, as they are products of nonlinear elastic behavior. We pose a simple…

Soft Condensed Matter · Physics 2009-08-13 Elisabetta A. Matsumoto , Randall D. Kamien

Bistable shells can reversibly change between two stable configurations with very little energetic input. Understanding what governs the shape and snap-through criteria of these structures is crucial for designing devices that utilize…

Soft Condensed Matter · Physics 2018-08-15 Xin Jiang , Matteo Pezzulla , Huiqi Shao , Tushar K. Ghosh , Douglas P. Holmes

Intraoperative observation of tissue internal structure is often difficult. Hence, real-time soft tissue deformation is essential for the localization of tumor and other internal structures. We propose a method to simulate the internal…

Computational Geometry · Computer Science 2019-07-26 Haoyin Zhou , Eva Gombos , Mehra Golshan , Jayender Jagadeesan

In contrast to conservative systems, in nonlinear media with gain and loss the dynamics of localized topological structures can exhibit unique features that can be controlled externally. We propose a robust mechanism to perform topological…

Pattern Formation and Solitons · Physics 2019-12-11 B. A. Kochetov , O. G. Chelpanova , V. R. Tuz , A. I. Yakimenko

We extend the theory of structured deformations to the setting of linearized elasticity by providing an integral representation for the underlying energy that features bulk and surface contributions. Our derivation is obtained both via a…

Analysis of PDEs · Mathematics 2026-01-19 Manuel Friedrich , José Matias , Elvira Zappale

Flexible surfaces can modulate fluid forces through deformation, enabling passive adaptation to flow conditions. Here we show that kirigami sheets, planar surfaces patterned with arrays of parallel slits, provide a simple route to tunable…

Fluid Dynamics · Physics 2026-04-23 Agathe Schmider , Tom Marzin , Sophie Ramananarivo

Autonomous materials discovery with desired properties is one of the ultimate goals for materials science, and the current studies have been focusing mostly on high-throughput screening based on density functional theory calculations and…

Shells, when confined, can deform in a broad assortment of shapes and patterns, often quite dissimilar to what is produced by their flat counterparts (plates). In this work we discuss the morphological landscape of shells deposited on a…

Soft Condensed Matter · Physics 2018-06-12 Octavio Albarrán , Desislava V. Todorova , Eleni Katifori , Lucas Goehring

The discovery of configurational forces acting on elastic structures and its initial applications are reviewed. Configurational forces are related to the possibility that an elastic structure can change its configuration, thus inducing a…

Soft Condensed Matter · Physics 2022-11-24 Davide Bigoni , Federico Bosi , Francesco Dal Corso , Diego Misseroni

Second-order structured deformations of continua provide an extension of the multiscale geometry of first-order structured deformations by taking into account the effects of submacroscopic bending and curving. We derive here an integral…

Optimization and Control · Mathematics 2017-05-24 Ana Cristina Barroso , José Matias , Marco Morandotti , David R. Owen

Nature-inspired stochastic metamaterials with disordered and multiscale architectures have shown great promise towards extraordinary functionalities, including high mechanical resilience, stress modulation and biased stiffness…

Applied Physics · Physics 2025-11-14 Canhui Lin , Ke Xu , Chenli Zhou , Yubin Gao , Yingguang Li

A robotic platform for mobile manipulation needs to satisfy two contradicting requirements for many real-world applications: A compact base is required to navigate through cluttered indoor environments, while the support needs to be large…

Multishape metamaterials exhibit more than one target shape change, e.g. the same metamaterial can have either a positive or negative Poisson's ratio. So far, multishape metamaterials have mostly been obtained by trial-and-error. The…

Soft Condensed Matter · Physics 2023-04-25 David M. J. Dykstra , Corentin Coulais

We re-address the problem of construction of new infinite-dimensional completely integrable systems on the basis of known ones, and we reveal a working mechanism for such transitions. By splitting the problem's solution in two steps, we…

Exactly Solvable and Integrable Systems · Physics 2014-03-10 Arthemy V. Kiselev , Andrey O. Krutov

Biological cells are able to generate intricate structures and respond to external stimuli, sculpting their membrane from within. Simplified biomimetic systems can aid in understanding the principles which govern these shape changes and…

Conventional formation methods typically rely on fixed hierarchical structures, such as predetermined leaders or predefined formation shapes. These rigid hierarchies can render formations cumbersome and inflexible in complex environments,…

Robotics · Computer Science 2024-09-09 Yuzhu Li , Wei Dong
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