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In this paper, we'll answer several abstract, formal questions about the nature of crack growth and nucleation. Bringing a field theory point of view to fracture illuminates things in what I hope will be an entertaining way. Formally, what…

材料科学 · 物理学 2007-05-23 James P. Sethna

Two-dimensional shape-morphing networks are common in biological systems and have garnered attention due to their nontrivial physical properties that emanate from their cellular nature. Here, we present the fabrication and characterization…

Non-Euclidean plates are thin elastic bodies having no stress-free configuration, hence exhibiting residual stresses in the absence of external constraints. These bodies are endowed with a three-dimensional reference metric, which may not…

软凝聚态物质 · 物理学 2009-05-29 Efi Efrati , Eran Sharon , Raz Kupferman

Biological cells can actively tune their intracellular architecture according to their overall shape. Here we explore the rheological implication of such coupling in a minimal model of a dense cellular material where each cell exerts an…

软凝聚态物质 · 物理学 2022-04-13 Shao-Zhen Lin , Matthias Merkel , Jean-François Rupprecht

We investigate the temporal and spacial evolution of single bursts and their statistics emerging in heterogeneous materials under a constant external load. Based on a fiber bundle model we demonstrate that when the load redistribution is…

无序系统与神经网络 · 物理学 2013-10-08 Zsuzsa Danku , Ferenc Kun

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

A controlled surface wrinkling pattern has been widely used in diverse applications, such as stretchable electronics, smart windows, and haptics. Here, we focus on hexagonal wrinkling patterns because of their great potentials in realizing…

软凝聚态物质 · 物理学 2021-02-24 Teng Zhang

The hygro-mechanical behavior of a hierarchical cellular material, i.e. growth rings of softwood is investigated using a two-scale micro-mechanics model based on a computational homogenization technique. The lower scale considers the…

材料科学 · 物理学 2015-09-22 Ahmad Rafsanjani , Dominique Derome , Falk K. Wittel , Jan Carmeliet

Motivated by the redrawing of hot glass into thin sheets, we investigate the shape and stability of a thin viscous sheet that is inhomogeneously stretched in an imposed non-uniform temperature field. We first determine the associated base…

流体动力学 · 物理学 2017-07-28 Siddarth Srinivasan , Zhiyan Wei , L. Mahadevan

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

Inelastic surface growth associated with continuous creation of incompatibility on the boundary of an evolving body is behind a variety of natural and technological processes, including embryonic development and 3D printing. In this paper…

软凝聚态物质 · 物理学 2017-12-25 Giuseppe Zurlo , Lev Truskinovsky

Collective cell motions underlie structure formation during embryonic development. Tissues exhibit emergent multicellular characteristics such as jamming, rigidity transitions, and glassy dynamics, but there remain questions about how those…

生物物理 · 物理学 2023-12-13 Evan Thomas , Sevan Hopyan

We study the behavior of thin elastic sheets that are bent and strained under the influence of weak, smooth confinement. We show that the emerging shapes exhibit the coexistence of two types of domains that differ in their characteristic…

软凝聚态物质 · 物理学 2011-02-15 Robert D. Schroll , Eleni Katifori , Benny Davidovitch

A statistical study of crumpled paper is allowed by a minimal 1D model: a self-avoiding line bent at sharp angles -- in which resides the elastic energy -- put in a confining potential. Many independent equilibrium configurations are…

软凝聚态物质 · 物理学 2009-11-11 Eric Sultan , Arezki Boudaoud

In this paper we study the homogenization effects on the model of elastic plate in the bending regime, under the assumption that the energy density (material) oscillates in the direction of thickness. We study two different cases. First, we…

偏微分方程分析 · 数学 2014-10-09 Maroje Marohnic , Igor Velcic

It is widely recognized that reciprocal interactions between cells and their microenvironment, via mechanical forces and biochemical signaling pathways, regulate cell behaviors during normal development, homeostasis and disease progression…

生物物理 · 物理学 2024-12-05 Nonthakorn Olaranont , Chaozhen Wei , John Lowengrub , Min Wu

In this article, we study the free vibration and the mechanical buckling of plates using a three dimensional consistent approach based on the scaled boundary finite element method. The in-plane dimensions of the plate are modeled by…

数值分析 · 数学 2017-01-12 Tingsong Xiang , Sundararajan Natarajan , Hou Man , Chongmin Song , Wei Gao

Over the past few decades, the prospect of energy generation from an oscillating piezoelectric patch has gained attention. A typical setup of this kind would be a piezoelectric patch mounted on a flexible plate that is exhibiting…

流体动力学 · 物理学 2021-04-14 Aditya Karthik S. , Supradeepan K. , P. S. Gurugubelli

We study elastic ribbons subject to large, tensile pre-stress confined to a central region within the cross-section. These ribbons can buckle spontaneously to form helical shapes, featuring regions of alternating chirality (phases) that are…

软凝聚态物质 · 物理学 2023-09-06 Michael Gomez , Pedro M. Reis , Basile Audoly

The experimental actualisation of organoids modelling organs from brains to pancreases has revealed that much of the diverse morphologies of organs are emergent properties of simple intercellular "rules" and not the result of top-down…

组织与器官 · 定量生物学 2019-10-07 Julius B. Kirkegaard , Bjarke F. Nielsen , Ala Trusina , Kim Sneppen