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Open cellular solids usually possess random microstructures that may contain a characteristic length scale, such as the cell size. This gives rise to size dependent mechanical properties where large systems behave differently from small…

材料科学 · 物理学 2018-01-03 Stefan Liebenstein , Stefan Sandfeld , Michael Zaiser

We present a model for continuous cell culture coupling intra-cellular metabolism to extracellular variables describing the state of the bioreactor, taking into account the growth capacity of the cell and the impact of toxic byproduct…

分子网络 · 定量生物学 2017-11-21 Jorge Fernandez-de-Cossio-Diaz , Kalet León , Roberto Mulet

In this work, we study the mechanical behavior of solids with microstructure using the framework of Cosserat elasticity with a single unit director. This formulation captures the coupling between deformation and orientational fields that…

机器学习 · 计算机科学 2026-03-10 Milad Shirani , Pete H. Gueldner , Murat Khidoyatov , Jeremy L. Warren , Federica Ninno

Structural cellular materials in nature, such as wood, trabecular bone, corals, and dentin combine complex biological functions with structural roles, such as skeletal support and impact protection1,2. They feature complex structural…

A rigid-plastic Cosserat model has been used to study dense, fully developed flow of granular materials through a vertical channel. Frictional models based on the classical continuum do not predict the occurrence of shear layers, at…

软凝聚态物质 · 物理学 2007-05-23 L. Srinivasa Mohan , Prabhu R. Nott , K. Kesava Rao

We introduce a mathematical model for the mechanical behaviour of the eukaryotic cell cytoskeleton. This discrete model involves a regular array of pre-stressed protein filaments that exhibit resistance to enthalpic stretching, joined at…

定量方法 · 定量生物学 2023-09-06 J. Köry , N. A. Hill , X. Y. Luo , P. S. Stewart

The bi-continuum model composed of two interpenetrating and dynamically coupled material continua is analysed as a simplified but relatively accurate way to describe some physical phenomena in crystalline solids. The essential novelty of…

材料科学 · 物理学 2007-05-23 M. Sztyren

A rigid-plastic Cosserat model for slow frictional flow of granular materials, proposed by us in an earlier paper, has been used to analyze plane and cylindrical Couette flow. In this model, the hydrodynamic fields of a classical continuum…

软凝聚态物质 · 物理学 2007-05-23 L. S. Mohan , K. Kesava Rao , Prabhu R. Nott

In this paper we model the size-effects of metamaterial beams under bending with the aid of the relaxed micromorphic continuum. We analyze first the size-dependent bending stiffness of heterogeneous fully discretized metamaterial beams…

数值分析 · 数学 2024-05-17 Mohammad Sarhil , Lisa Scheunemann , Jörg Schröder , Patrizio Neff

In this letter, we develop a framework to study the mechanical response of athermal amorphous solids via a coupling of mesoscale and microscopic models. Using measurements of coarse grained quantities from simulations of dense disordered…

软凝聚态物质 · 物理学 2021-04-07 Chen Liu , Suman Dutta , Pinaki Chaudhuri , Kirsten Martens

We investigate a continuum mechanical model for an adherent cell on two dimensional adhesive micropatterned substrates. The cell is modeled as an isotropic and homogeneous elastic material subject to uniform internal contractile stresses.…

生物物理 · 物理学 2013-12-30 Shiladitya Banerjee , Rastko Sknepnek , M. Cristina Marchetti

Cellular solids are known to exhibit size effects, i.e., differences in the apparent effective elastic moduli, when the specimen size becomes comparable to the cell size. The present contribution employs direct numerical simulations (DNS)…

计算物理 · 物理学 2021-01-05 Rinh Dinh Pham , Geralf Hütter

The origin of rigidity in disordered materials is an outstanding open problem in statistical physics. Previously, a class of 2D cellular models has been shown to undergo a rigidity transition controlled by a mechanical parameter that…

软凝聚态物质 · 物理学 2023-01-18 Matthias Merkel , Lisa Manning

Describing and measuring the elastic properties of cellular materials such as honeycombs and foams can be a difficult problem when the cell structure is disordered. This paper suggests that tracking the flow of forces through the material…

材料科学 · 物理学 2012-03-27 Mitchell A. Berger

Modelling MEMS involves a variety of software tools that deal with the analysis of complex geometrical structures and the assessment of various interactions among different energy domains and components. Moreover, the MEMS market is growing…

其他计算机科学 · 计算机科学 2008-12-18 Mustafa Calis , Omar Laghrouche , Marc Desmulliez

In this article, a failure mode dependent and thermodynamically consistent continuum damage model with polynomial-based damage hardening functions is proposed for continuum damage modeling of laminated composite panels. The damage model…

计算物理 · 物理学 2025-09-24 Shubham Rai , Badri Prasad Patel

Disordered hyperuniform heterogeneous materials are new, exotic amorphous states of matter that behave like crystals in the manner in which they suppress volume-fraction fluctuations at large length scales, and yet are statistically…

软凝聚态物质 · 物理学 2018-08-09 Salvatore Torquato , Duyu Chen

Capturing and predicting the effective mechanical properties of highly porous cellular media still represents a significant challenge for the research community, due to their complex structural interdependencies and known size effects.…

软凝聚态物质 · 物理学 2024-07-30 Alexander Malik , Geralf Hütter , Martin Abendroth , Bjoern Kiefer

Phase separation within polymer networks plays a central role in shaping the structure and mechanics of both synthetic materials and living cells, including the formation of biomolecular condensates within cytoskeletal networks. Previous…

软凝聚态物质 · 物理学 2025-12-01 Takahiro Yokoyama , Yicheng Qiang , David Zwicker , Arash Nikoubashman

We analyze the structure of two dimensional disordered cellular systems generated by extensive computer simulations. These cellular structures are studied as topological trees rooted on a central cell or as closed shells arranged…

无序系统与神经网络 · 物理学 2009-10-30 H. M. Ohlenbusch , T. Aste , B. Dubertret , N. Rivier
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