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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

The high mechanical strength and excellent flexibility of 2D materials such as graphene are some of their most important properties [1]. Good flexibility is key for exploiting 2D materials in many emerging technologies, such as wearable…

介观与纳米尺度物理 · 物理学 2018-09-05 A. P. Rooney , Z. Li , W. Zhao , A. Gholinia , A. Kosikov , G. Auton , F. Ding , R. V. Gorbachev , R. J. Young , S. J Haigh

Disordered biopolymer gels have striking mechanical properties including strong nonlinearities. In the case of athermal gels (such as collagen-I) the nonlinearity has long been associated with a crossover from a bending dominated to a…

软凝聚态物质 · 物理学 2016-04-12 Jingchen Feng , Herbert Levine , Xiaoming Mao , Leonard M. Sander

The presence of prestrain can have a tremendous effect on the mechanical behavior of slender structures. Prestrained elastic plates show spontaneous bending in equilibrium -- a property that makes such objects relevant for the fabrication…

偏微分方程分析 · 数学 2023-01-18 Klaus Böhnlein , Stefan Neukamm , David Padilla-Garza , Oliver Sander

The formulation of a new prism finite element is presented for the nonlinear analysis of solid shells subject to large strains and large displacements. The element is based on hierarchical, heterogeneous, and anisotropic shape functions. As…

数值分析 · 数学 2020-10-20 Lukasz Kaczmarczyk , Hoang Nguyen , Zahur Ullah , Mebratu Wakeni , Chris Pearce

"Necks" are features of lipid membranes characterized by an uniquley large curvature, functioning as bridges between different compartments. These features are ubiquitous in the life-cycle of the cell and instrumental in processes such as…

软凝聚态物质 · 物理学 2021-01-05 Piermarco Fonda , Luca Giomi

Dielectric elastomers (DEs) are a type of multifunctional materials with salient features that are very attractive in developing soft, lightweight, and small-scale transducers and robotics. This paper reviews the mechanics of soft DE…

软凝聚态物质 · 物理学 2022-10-25 Zinan Zhao , Yingjie Chen , Xueyan Hu , Ronghao Bao , Bin Wu , Weiqiu Chen

This paper investigates nonlinear bending and buckling behaviours of composite plates characterized by a thickness variation. Layer interfaces are described as functions of inplane coordinates. Top and bottom surfaces of the plate are…

计算工程、金融与科学 · 计算机科学 2016-04-06 T. Le-Manh , Q. Huynh-Van , Thu D. Phan , Huan D. Phan , H. Nguyen-Xuan

We show that supersymmetric Abelian models that are obtained from deformations of those with ${\cal N}=2$ supersymmetry also contain metastable vacua for a wide range of parameters. The deformations we consider are combinations of masses…

高能物理 - 唯象学 · 物理学 2011-03-02 Edi Halyo

We propose a two-scale model to resolve essential features of developmental tissue deformations. The model couples individual cellular behavior to the mechanics at tissue scale. This is realized by a multiphase-field model addressing the…

软凝聚态物质 · 物理学 2025-06-25 Lea Happel , Axel Voigt

When an amorphous solid is deformed homogeneously, the response exhibits heterogeneous plastic instabilities with localized cooperative rearrangement of cluster of particles. The heterogeneous behavior plays an important role in deciding…

软凝聚态物质 · 物理学 2022-01-31 Meenakshi L , Bhaskar Sen Gupta

The behavior of a bidisperse inelastic gas vertically shaken in a compartmentalized container is investigated using two different approaches: the first is a mean-field dynamical model, which treats the number of particles in the two…

A new nonlinear hyperelastic bending model for shells formulated directly in surface form is presented, and compared to four prominently used bending models. Through an essential set of elementary nonlinear bending test cases, the stresses…

计算工程、金融与科学 · 计算机科学 2023-04-20 Eshwar J. Savitha , Roger A. Sauer

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…

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…

软凝聚态物质 · 物理学 2023-02-22 Arefeh Abbasi , Tomohiko G. Sano , Dong Yan , Pedro M. Reis

Shear cracks propagation is a basic dynamical process that mediates interfacial failure. We develop a general weakly nonlinear elastic theory of shear cracks and show that these experience tensile-mode crack tip deformation, including…

材料科学 · 物理学 2015-06-03 Roi Harpaz , Eran Bouchbinder

A nonlinear dynamical system model that approximates a microscopic Gibbs field model for the yielding of a viscoplastic material subjected to varying external stress recently reported in [1] is presented. The predictions of the model are in…

软凝聚态物质 · 物理学 2016-10-04 Sainudiin Raazesh , Moyers-Gonzalez Miguel , Burghelea Teodor

The problem of morphogenesis and Turing instability are revisited from the point of view of dimensionality effects. First the linear analysis of a generic Turing model is elaborated to the case of multiple stationary states, which may lead…

软凝聚态物质 · 物理学 2009-11-10 Teemu Leppanen , Mikko Karttunen , Kimmo Kaski , Rafael A. Barrio

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…

经典分析与常微分方程 · 数学 2016-04-26 Thomas Lessinnes , Alain Goriely

While isotropic in-plane swelling problems for thin elastic sheets have been studied extensively in recent years, many shape-programmable materials, including nematic solids and 3D-printed structures, are anisotropic, as are most industrial…

软凝聚态物质 · 物理学 2021-05-25 H. G. Wood , J. A. Hanna