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This study introduces a novel approach to composite design by employing aperiodic monotiles, shapes that cover surfaces without translational symmetry. Using a combined computational and experimental approach, we study the fracture behavior…

Applied Physics · Physics 2023-09-13 Jiyoung Jung , Ailin Chen , Grace X. Gu

The goal of this paper is to generalize some of the existing toolkit of combinatorial algebraic topology in order to study the homology of abstract chain complexes. We define shellability of chain complexes in a similar way as for cell…

Algebraic Topology · Mathematics 2012-10-18 Gerrit Grenzebach , Björn Walker

Two single parameter families of polyhedra $P(\psi)$ are constructed in three dimensional spaces of constant curvature $C(\psi)$. Identification of the faces of the polyhedra via isometries results in cone manifolds $M(\psi)$ which are…

Geometric Topology · Mathematics 2007-05-23 A Aalam

We present dynamic equations for two dimensional closed surfaces and analytically solve it for some simplified cases. We derive final equations for surface normal motions by two different ways. The solution of the equations of motions in…

Biological Physics · Physics 2018-02-21 David V. Svintradze

The structural features of polystyrene brushes grafted on spherical silica nanoparticles immersed in polystyrene are investigated by means of a Monte Carlo methodology based on polymer mean field theory. The nanoparticle radii (either 8 nm…

Soft Condensed Matter · Physics 2014-01-17 Georgios G. Vogiatzis , Doros N. Theodorou

Many critical biological processes, like wound healing, require confluent cell monolayers/bulk tissues to transition from a jammed solid-like to a fluid-like state. Although numerical studies anticipate changes in the cell shape alone can…

Soft Condensed Matter · Physics 2024-01-25 Pragya Arora , Souvik Sadhukhan , Saroj Kumar Nandi , Dapeng Bi , A K Sood , Rajesh Ganapathy

Lipid vesicles consist of aqueous cores surrounded by a bilayer of phospholipids. Hybrid polymer-lipid vesicles incorporate both polymers and lipids, offering promising properties for developing pharmaceuticals, biosensors, and artificial…

As a model of soft confinement for polymers, we investigated equilibrium shapes of a flexible vesicle that contains a phase-separating polymer solution. To simulate such a system, we combined the phase field theory (PFT) for the vesicle and…

Biological Physics · Physics 2015-06-19 Yutaka Oya , Toshihiro Kawakatsu

The structure of spherical micelles of the diblock poly(styrene-block-acrylic acid) [PS-b-PA] copolymer in water was investigated up to concentrations where the polyelectrolyte coronal layers have to shrink and/or interpenetrate in order to…

Soft Condensed Matter · Physics 2009-11-10 A. V. Korobko , W. Jesse , A. Lapp , S. U. Egelhaaf , J. R. C. van der Maarel

Stripe patterns are ubiquitous in nature and everyday life. While the synthesis of these patterns has been thoroughly studied in the literature, their potential to control the mechanics of structured materials remains largely unexplored. In…

Graphics · Computer Science 2023-05-24 Juan Montes Maestre , Yinwei Du , Ronan Hinchet , Stelian Coros , Bernhard Thomaszewski

Discrete mesoscale network models, in which explicitly modeled polymer chains are replaced by implicit pairwise potentials, are capable of predicting the macroscale mechanical response of polymeric materials such as elastomers and gels,…

Soft Condensed Matter · Physics 2024-07-16 Robert J. Wagner , Meredith N. Silberstein

The problem of ring formation in solutions of cylindrical micelles is reinvestigated theoretically, taking into account a finite bending rigidity of the self-assembled linear objects. Transitions between three regimes are found when the…

Statistical Mechanics · Physics 2007-05-23 P. van der Schoot , J. P. Wittmer

Two-scale topology optimization, combined with the design of microstructure families with a broad range of effective material parameters, is increasingly widely used in many fabrication applications to achieve a target deformation behavior…

Graphics · Computer Science 2024-07-25 Davi Colli Tozoni , Zizhou Huang , Daniele Panozzo , Denis Zorin

Geometric confinement plays an important role in the dynamics of natural and synthetic microswimmers from bacterial cells to self-propelled particles in high-throughput microfluidic devices. However, little is known about the effects of…

Fluid Dynamics · Physics 2014-11-13 Alan Cheng Hou Tsang , Eva Kanso

The structure of lamellar phases of symmetric $AB$ diblock copolymers in a thin film is investigated. We quantitatively compare the composition profiles and profiles of individual segments in self-consistent field calculations with Monte…

Statistical Mechanics · Physics 2009-10-31 Thorsten Geisinger , Marcus Mueller , Kurt Binder

We combine small angle scattering experiments and simulations to investigate the internal structure and interactions of composite Poly(N-isopropylacrylamide)-Poly(ethylene glycol) (PNIPAM-PEG) microgels. At low temperatures the…

We consider the simplest representative of the class of multiply branched polymer macromolecules, known as a pom-pom structure. The molecule consists of a backbone linear chain terminated by two branching points with functionalities…

Soft Condensed Matter · Physics 2020-12-02 Khristine Haydukivska , Ostap Kalyuzhnyi , Viktoria Blavatska , Jaroslav Ilnytskyi

Simplified silica (Zeosil 1165 MP) and SBR (140k carrying silanol end-groups) nanocomposites have been formulated by mixing of a reduced number of ingredients with respect to industrial applications. The thermo-mechanical history of the…

A detailed understanding of the interface between living cells and substrate materials is of rising importance in many fields of medicine, biology and biotechnology. Cells at interfaces often form epithelia. The physical barrier that they…

By means of sophisticated Monte Carlo methods, we investigate the conformational phase diagram of a simple model for flexible polymers with explicit thickness. The thickness constraint, which is introduced geometrically via the global…

Soft Condensed Matter · Physics 2009-02-06 Thomas Vogel , Thomas Neuhaus , Michael Bachmann , Wolfhard Janke
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