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We derive an asymptotically consistent morphoelastic shell model to describe the finite deformations of biological tissues using the variational asymptotical method. Biological materials may exhibit remarkable compressibility when under…

软凝聚态物质 · 物理学 2024-07-23 Xiang Yu , Xiaoyi Chen

Soft interfaces formed by lipid membranes are fundamental to living cells, synthetic cells, and membrane-based soft materials. However, a quantitative framework linking molecular organization with nonlinear interfacial mechanics remains…

软凝聚态物质 · 物理学 2026-01-27 Kazutoshi Masuda , Miho Yanagisawa

This work presents a general unified theory for coupled nonlinear elastic and inelastic deformations of curved thin shells. The coupling is based on a multiplicative decomposition of the surface deformation gradient. The kinematics of this…

经典物理 · 物理学 2019-09-12 Roger A. Sauer , Reza Ghaffari , Anurag Gupta

State of the art research and treatment of biological tissues require accurate and efficient methods for describing their mechanical properties. Indeed, micromechanics motivated approaches provide a systematic method for elevating relevant…

软凝聚态物质 · 物理学 2012-05-04 Gal deBotton , Tal Oren

The immersed boundary method is a mathematical formulation and numerical method for solving fluid-structure interaction problems. For many biological problems, such as models that include the cell membrane, the immersed structure is a…

数值分析 · 数学 2018-06-07 Ondrej Maxian , Andrew T. Kassen , Wanda Strychalski

We develop a framework to understand the mechanics of metamaterial sheets on curved surfaces. Here we have constructed a continuum elastic theory of mechanical metamaterials by introducing an auxiliary, scalar gauge-like field that absorbs…

软凝聚态物质 · 物理学 2023-11-02 Sourav Roy , C. D. Santangelo

Vertex Models, as used to describe cellular tissue, have an energy controlled by deviations of each cell area and perimeter from target values. The constrained nonlinear relation between area and perimeter leads to new mechanical response.…

软凝聚态物质 · 物理学 2022-07-04 Arthur Hernandez , Michael F. Staddon , Mark J. Bowick , M. Cristina Marchetti , Michael Moshe

This paper presents an extended coarse-grained investigation of the elastic properties of polystyrene. In particular, we employ the well-known MARTINI force field and its modifications to perform extended molecular dynamics simulations at…

计算物理 · 物理学 2020-01-08 Yaroslav Beltukov , Igor Gula , Alexander M. Samsonov , Ilia A. Solov'yov

The accurate determination of the elastic properties is non-trivial for metallic foils. The measured elastic modulus is often described in literature as significantly smaller than the respective modulus of the bulk counterparts. This paper…

材料科学 · 物理学 2020-09-30 C. O. W. Trost , S. Wurster , C. Freitag , A. Steinberger , M. J. Cordill

Nonlinear elastic responses of short and stiff polyelectrolytes are investigated by dynamic simulations on a single molecule level. When a polyelectrolyte condensate undergoes a mechanical unfolding, two types of force-extension curves,…

软凝聚态物质 · 物理学 2009-11-10 Hirofumi Wada , Yoshihiro Murayama , Masaki Sano

We discuss a class of models for particulate gels in which the particle contacts are described by an effective interaction combining a two-body attraction and a three-body angular repulsion. Using molecular dynamics, we show how varying the…

软凝聚态物质 · 物理学 2021-08-05 Minaspi Bantawa , Wayan A. Fontaine-Seiler , Peter D. Olmsted , Emanuela Del Gado

Skeletal muscles are living tissues that can undergo large deformations in short periods of time and that can be activated to produce force. In this paper we use the principles of continuum mechanics to propose a dynamic, fully non-linear,…

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

软凝聚态物质 · 物理学 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

In this paper, we propose a novel one-dimensional (1D) discrete differential geometry (DDG)-based numerical method for geometrically nonlinear mechanics analysis (e.g., buckling and snapping) of axisymmetric shell structures. Our numerical…

软凝聚态物质 · 物理学 2024-10-01 Weicheng Huang , Tianzhen Liu , Zhaowei Liu , Peifei Xu , Mingchao Liu , Yuzhen Chen , K. Jimmy Hsia

To go beyond the simple model for the fold as two flexible surfaces or faces linked by a crease that behaves as an elastic hinge, we carefully shape and anneal a crease within a polymer sheet and study its mechanical response. First, we…

软凝聚态物质 · 物理学 2018-08-16 Théo Jules , Frédéric Lechenault , Mokhtar Adda-Bedia

Macroscopic elastic core-shell systems can be generated as toy models to be deformed and haptically studied by hand. On the mesoscale, colloidal core-shell particles and microgels are fabricated and investigated by different types of…

软凝聚态物质 · 物理学 2022-05-30 Jannis Kolker , Lukas Fischer , Andreas M. Menzel , Hartmut Löwen

Extra-large deformations in ultra-soft elastic materials are ubiquitous, yet systematic studies and methods to understand the mechanics of such huge strains are lacking. Here we investigate this complex problem systematically with a simple…

材料科学 · 物理学 2017-01-04 Aditi Chakrabarti , Manoj K. Chaudhury , Serge Mora , Yves Pomeau

Nonlinear elastic metamaterials are known to support a variety of dynamic phenomena that enhance our capacity to manipulate elastic waves. Since these properties stem from complex, subwavelength geometry, full-scale dynamic simulations are…

应用物理 · 物理学 2024-07-31 Samuel P. Wallen , Michael R. Haberman , Washington DeLima

Elastic models of the glass transition relate the relaxation dynamics and the elastic properties of structural glasses. They are based on the assumption that the relaxation dynamics occurs through activated events in the energy landscape…

软凝聚态物质 · 物理学 2015-08-20 M. Pica Ciamarra , Peter Sollich

Large deformations of soft elastic beads spinning at high angular velocity in a denser background fluid are investigated theoretically, numerically, and experimentally using millimeter-size polyacrylamide hydrogel particles introduced in a…