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We apply the well-established theoretical method developed for geometrical nonlinearities of micro/nano-mechanical clamped beams to circular drums. The calculation is performed under the same hypotheses, the extra difficulty being to…

Mesoscale and Nanoscale Physics · Physics 2020-09-25 D. Cattiaux , S. Kumar , X. Zhou , A. Fefferman , E. Collin

A macro-constitutive model for the deformation response of periodic rotating bistable auxetic surfaces is developed. Focus is placed on isotropic surfaces made of bistable hexagonal cells composed of six triangular units with two stable…

Applied Physics · Physics 2025-12-01 Emmanuel Sansusthy Tardio , Tian Chen , Theocharis Baxevanis

In this paper we discuss non-commutative and non-associative geometries that emerge in the context of non-geometric closed string backgrounds. T-duality and doubled field theory plays an important role in formulating the corresponding…

High Energy Physics - Theory · Physics 2012-05-28 Dieter Lust

We numerically investigate the role of mechanical stress in modifying the conductivity properties of the cardiac tissue and its impact in computational models for cardiac electromechanics. We follow a theoretical framework recently proposed…

Tissues and Organs · Quantitative Biology 2019-05-02 A. Loppini , A. Gizzi , R. Ruiz Baier , C. Cherubini , F. Fenton , S. Filippi

A novel computational framework for designing metamaterials with negative Poisson's ratio over a large strain range is presented in this work by combining the density-based topology optimization together with a mixed stress/deformation…

Computational Engineering, Finance, and Science · Computer Science 2019-07-31 Guodong Zhang , Kapil Khandelwal

There is a growing mechanics literature concerning the macroscopic properties of mechanism-based mechanical metamaterials. This amounts mathematically to a homogenization problem involving nonlinear elasticity. A key goal is to identify the…

Analysis of PDEs · Mathematics 2025-11-10 Xuenan Li , Robert V. Kohn

Polymeric materials that couple deformation and electrostatics have the potential for use in soft sensors and actuators with potential applications ranging from robotic, biomedical, energy, aerospace and automotive technologies. In contrast…

Soft Condensed Matter · Physics 2020-06-02 Matthew Grasinger , Kaushik Dayal

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…

Classical Physics · Physics 2022-10-27 Leonardo A. Perez Ramirez , Gianluca Rizzi , Angela Madeo

Mechanical metamaterials are structures designed to exhibit an exotic response, such as topological soft modes at a surface. Here we explore single-material 3D prints of these topological structures by translating a ball-and-spring model…

Soft Condensed Matter · Physics 2023-01-16 Achilles Bergne , Guido Baardink , Evripides G Loukaides , Anton Souslov

Within a decade of fruitful developments, metamaterials became a prominent area of research, bridging theoretical and applied electrodynamics, electrical engineering and material science. Being man-made structures, metamaterials offer a…

We investigate the response of two-dimensional pattern forming systems with a broken up-down symmetry, such as chemical reactions, to spatially resonant forcing and propose related experiments. The nonlinear behavior immediately above…

Pattern Formation and Solitons · Physics 2009-11-10 R. Peter , M. Hilt , F. Ziebert , J. Bammert , C. Erlenkämper , N. Lorscheid , C. Weitenberg , A. Winter , M. Hammele , W. Zimmermann

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,…

Brownian dynamics simulations of bidisperse hard discs moving in two dimensions in a given steady and homogeneous shear flow are presented close to and above the glasstransition density. The stationary structure functions and stresses of…

Soft Condensed Matter · Physics 2010-01-20 O. Henrich , F. Weysser , M. E. Cates , M. Fuchs

We present a novel formalism to characterize elastic heterogeneities in amorphous solids. In particular, we derive high-order strain-energy expansions for pairwise energies under athermal quasistatic dynamics. We then use the presented…

Soft Condensed Matter · Physics 2024-01-03 David Richard

Metric anomalies arising from a distribution of point defects (intrinsic interstitials, vacancies, point stacking faults), thermal deformation, biological growth, etc. are well known sources of material inhomogeneity and internal stress. By…

Materials Science · Physics 2016-03-18 Ayan Roychowdhury , Anurag Gupta

Recent progress in advanced additive manufacturing techniques has stimulated the growth of the field of mechanical metamaterials. One area particular interest in this subject is the creation of auxetic material properties through elastic…

Soft Condensed Matter · Physics 2018-04-04 Daniel Rayneau-Kirkhope , Chengzhao Zhang , Louis Theran , Marcelo A. Dias

A one-parameter deformation of a periodic bar-and-joint framework is expansive when all distances between joints increase or stay the same. In dimension two, expansive behavior can be fully explained through our theory of periodic…

Metric Geometry · Mathematics 2015-07-14 Ciprian S. Borcea , Ileana Streinu

Fluid-structure interactions are a widespread phenomenon in nature. Although their numerical modeling have come a long way, the application of numerical design tools to these multiphysics problems is still lagging behind. Gradient-based…

Numerical Analysis · Mathematics 2021-09-27 Mohamed Abdelhamid , Aleksander Czekanski

Two-dimensional (2D) semiconducting transition metal dichalcogenides (TMDs) can withstand a large deformation without fracture or inelastic relaxation, making them attractive for application in novel strain-engineered and flexible…

Materials Science · Physics 2016-01-18 Junwen Li , Nikhil V. Medhekar , Vivek B. Shenoy

Advances in material functionalities drive innovations across various fields, where metamaterials-defined by structure rather than composition-are leading the way. Despite the rise of artificial intelligence (AI)-driven design strategies,…

Computational Engineering, Finance, and Science · Computer Science 2025-09-03 Namjung Kim , Dongseok Lee , Jongbin Yu , Sung Woong Cho , Dosung Lee , Yesol Park , Youngjoon Hong