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We investigate buckling of soft elastic capsules under negative pressure or for reduced capsule volume. Based on nonlinear shell theory and the assumption of a hyperelastic capsule membrane, shape equations for axisymmetric and initially…

Soft Condensed Matter · Physics 2011-12-01 Sebastian Knoche , Jan Kierfeld

Woven shell structures are beneficial for applications requiring lightweight, damage resilience, and design tunability, such as in wearable devices, soft robotics, and aerospace systems. A fundamental component of woven structures is the…

Applied Physics · Physics 2025-12-02 Jaimie Krankel , Guowei Wayne Tu , Evgueni T. Filipov

Compressive mechanical stress exceeding a critical value leads to the formation of periodic surface buckling patterns in film-substrate systems. A comprehensive understanding of this buckling phenomenon is desired in applications where the…

Materials Science · Physics 2025-02-20 Wenqing Zhu

A numerical study on the elastic response of single- and multi-layer systems formed by alternating pentamode lattices and stiffening plates is presented. Finite element simulations are conducted to analyze the dependence of the effective…

Applied Physics · Physics 2020-01-08 A. Amendola , G. Carpentieri , L. Feo , F. Fraternali

Buckling strength estimation of architected materials has mainly been restricted to load cases oriented along symmetry axes. However, realistic load scenarios normally exhibit more general stress distributions. In this paper we propose a…

Applied Physics · Physics 2021-05-14 Morten N. Andersen , Yiqiang Wang , Fengwen Wang , Ole Sigmund

Multistability is an inseparable feature of many physical, chemical and biological systems which are driven far from equilibrium. In these nonequilibrium systems, stochastic dynamics often induces switching between distinct states on…

Adaptation and Self-Organizing Systems · Physics 2017-11-01 Guram Gogia , Justin Burton

In this work, we construct an effective continuum model for architected sheets that are composed of bulky tiles connected by slender elastic joints. Due to their mesostructure, these sheets feature quasi-mechanisms -- low-energy local…

Materials Science · Physics 2022-06-22 Connor McMahan , Andrew Akerson , Paolo Celli , Basile Audoly , Chiara Daraio

For solving the longstanding materials science problem of correlating elastic properties of a solid material to the formation of cracks we present a new general concept. This concept is applied to the technologically most important cracks…

Materials Science · Physics 2007-05-23 Petr Lazar , Raimund Podloucky , Walter Wolf

This work focuses on the bearing rigidity theory, namely the branch of knowledge investigating the structural properties necessary for multi-element systems to preserve the inter-units bearings when exposed to deformations. The original…

Systems and Control · Computer Science 2021-03-24 Giulia Michieletto , Angelo Cenedese , Daniel Zelazo

This study focuses on discerning the role of structural parameters on the bifurcation characteristics and the underlying synchronization mechanism in an aeroelastic system undergoing nonlinear stall behaviour. To that end, wind tunnel…

Fluid Dynamics · Physics 2024-04-24 Dheeraj Tripathi , Chandan Bose , Sirshendu Mondal , J Venkatramani

Structures with artificial mechanical properties, often called mechanical metamaterials, exhibit divergent yet tunable performance. Various types of mechanical metamaterials have been proposed, which harness light or magnetic interactions,…

In a "structured system" of equations, each equation depends on a specified subset of the variables. In this article, we explore properties common to "almost every" system with a fixed structure and how the properties can be read from the…

Classical Analysis and ODEs · Mathematics 2023-04-04 Sana Jahedi , Timothy Sauer , James A. Yorke

We present experiments on the dynamic buckling and fragmentation of slender rods axially impacted by a projectile. By combining the results of Saint-Venant and elastic beam theory, we derive a preferred wavelength lambda for the buckling…

Soft Condensed Matter · Physics 2009-11-10 J. R. Gladden , N. Z. Handzy , A. Belmonte , E. Villermaux

Unlike most synthetic materials, biological materials often stiffen as they are deformed. This nonlinear elastic response, critical for the physiological function of some tissues, has been documented since at least the 19th century, but the…

Soft Condensed Matter · Physics 2009-11-10 Cornelis Storm , Jennifer J. Pastore , Fred C. MacKintosh , Tom C. Lubensky , Paul A. Janmey

Employing ab initio calculations, we discuss chemical, mechanical, and dynamical stability of MoN-TaN solid solutions together with cubic-like MoN/TaN superlattices, as another materials design concept. Hexagonal-type structures based on…

Materials Science · Physics 2024-06-21 Nikola Koutná , David Holec , Martin Friák , Paul H. Mayrhofer , Mojmír Šob

Architected materials produced by powder bed fusion metal additive manufacturing technique offer realization of complex structural hierarchies that mimic the principles of crystal plasticity while still being ultralight-weight, though…

I study the buckling transition under compression of a two-dimensional, hexagonal, regular elastic honeycomb. Under isotropic compression, the system buckles to a configuration consisting of a unit cell containing four of the original…

Materials Science · Physics 2009-11-10 E. A. Jagla

Compacted unbound granular materials are extensively used as sub-layer in pavement design. Most pavement design guides assume that they are responsible for the degradation and deformation of the roads and railways that they support. Biaxial…

Materials Science · Physics 2016-08-16 R. García-Rojo , H. J. Herrmann

Bistable structures associated with non-linear deformation behavior, exemplified by the Venus flytrap and slap bracelet, can switch between different functional shapes upon actuation. Despite numerous efforts in modeling such large…

Materials Science · Physics 2015-06-05 Zi Chen , Qiaohang Guo , Carmel Majidi , Wenzhe Chen , David J. Srolovitz , Mikko P. Haataja

We introduce a design principle for mechanical metamaterials based on "odd elasticity, once removed." By revisiting classic results relating the variation of Cauchy stress and Lagrangian strain around a prestressed reference state, we show…

Soft Condensed Matter · Physics 2025-09-25 Tyler A. Engstrom , Daniel M. Sussman