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Topology optimization (TO) has experienced a dramatic development over the last decades aided by the arising of metamaterials and additive manufacturing (AM) techniques, and it is intended to achieve the current and future challenges. In…

Hybrid molecular dynamics/Monte Carlo simulations used to study melts of unentangled, thermoreversibly associating supramolecular polymers. In this first of a series of papers, we describe and validate a model that is effective in…

Soft Condensed Matter · Physics 2015-05-13 Robert S. Hoy , Glenn H. Fredrickson

We investigate the emergence of isotropic linear elasticity in amorphous and polycrystalline solids, via extensive numerical simulations. We show that the elastic properties are correlated over a finite length scale $\xi_E$, so that the…

Soft Condensed Matter · Physics 2021-05-19 Shivam Mahajan , Joyjit Chattoraj , Massimo Pica Ciamarra

We investigate numerically, by a hybrid lattice Boltzmann method, the morphology and the dynamics of an emulsion made of a polar active gel, contractile or extensile, and an isotropic passive fluid. We focus on the case of a highly…

Soft Condensed Matter · Physics 2019-02-28 Giuseppe Negro , Livio Nicola Carenza , Pasquale Digregorio , Giuseppe Gonnella , Antonio Lamura

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…

Classical Physics · Physics 2019-09-12 Roger A. Sauer , Reza Ghaffari , Anurag Gupta

In this paper planar STIT tesselations with weighted axis-parallel cutting directions are considered. They are known also as weighted planar Mondrian tesselations in the machine learning literature, where they are used in random forest…

Probability · Mathematics 2022-04-29 Carina Betken , Tom Kaufmann , Kathrin Meier , Christoph Thäle

In articular cartilage the orientation of collagen fibres is not uniform, varying mostly with the depth on the tissue. Besides, the biomechanical response of each layer of the articular cartilage differs from the neighbouring ones, evolving…

Biological Physics · Physics 2016-01-21 S. Cortez , A. Completo , J. L. Alves

In this paper we present an algorithm for the coupling of magneto-thermal and mechanical finite element models representing superconducting accelerator magnets. The mechanical models are used during the design of the mechanical structure as…

In the context of elasticity theory, rigidity theorems allow to derive global properties of a deformation from local ones. This paper presents a new asymptotic version of rigidity, applicable to elastic bodies with sufficiently stiff…

Analysis of PDEs · Mathematics 2019-09-04 Fabian Christowiak , Carolin Kreisbeck

We present Monte Carlo simulation results for a two-dimensional Ising model with ferromagnetic nearest-neighbor couplings and a competing long-range dipolar interaction on a honeycomb lattice. Both structural and thermodynamic properties…

Statistical Mechanics · Physics 2012-07-26 Robert Rüger , Roser Valentí

The inclusion of rigid elements into elastic composites may lead to superior mechanical properties for the equivalent elastic continuum, such as, for instance, extreme auxeticity. To allow full exploitation of these properties, a tool for…

Classical Physics · Physics 2025-01-16 Luca Viviani , Davide Bigoni , Andrea Piccolroaz

In this work, we study the thermo-mechanical behavior of metallic structures designed to significantly change shape in response to thermal stimuli. This behavior is achieved by arranging two metals with different coefficient of thermal…

Applied Physics · Physics 2020-06-30 Semih Taniker , Paolo Celli , Damiano Pasini , Douglas Hofmann , Chiara Daraio

We numerically study Turing patterns (TPs) on two-dimensional surfaces with a square boundary in ${\bf R}^3$ using a surface model for polymerized membranes. The variables used to describe the membranes correspond to two distinct degrees of…

Soft Condensed Matter · Physics 2025-02-24 F. Kato , H. Koibuchi , E. Bretin , C. Carvalho , R. Denis , S. Masnou , M. Nakayama , S. Tasaki , T. Uchimoto

New low-order $H(\textrm{div})$-conforming finite elements for symmetric tensors are constructed in arbitrary dimension. The space of shape functions is defined by enriching the symmetric quadratic polynomial space with the $(d+1)$-order…

Numerical Analysis · Mathematics 2024-02-22 Xuehai Huang , Chao Zhang , Yaqian Zhou , Yangxing Zhu

Using the theory of elasticity of polymer gels we show that large-scale cross-link density patterns written into the structure of the network in the melt state, can be revealed upon swelling by monitoring the monomer density patterns. We…

Soft Condensed Matter · Physics 2016-02-17 Sergey Panyukov , Yitzhak Rabin

We study the properties of magnetised cylindrical polytropes as models for interstellar filamentary clouds, extending the analysis presented in a companion paper (Toci & Galli 2014a). We formulate the general problem of magnetostatic…

Solar and Stellar Astrophysics · Physics 2015-06-23 Claudia Toci , Daniele Galli

We analyze the occurrence of in-plane anisotropy in the electronic, magnetic, elastic and transport properties of more than one thousand 2D materials from the C2DB database. We identify hundreds of anisotropic materials and classify them…

Materials Science · Physics 2020-09-09 Luca Vannucci , Urko Petralanda , Asbjørn Rasmussen , Thomas Olsen , Kristian S. Thygesen

We examine how disordering joint position influences the linear elastic behavior of lattice materials via numerical simulations in two-dimensional beam networks. Three distinct initial crystalline geometries are selected as representative…

Soft Condensed Matter · Physics 2022-08-31 Antoine Montiel , Thuy Nguyen , Cindy Rountree , Valérie Geertsen , Patrick Guenoun , Daniel Bonamy

We investigate the stability and geometrically non-linear dynamics of slender rods made of a linear isotropic poroelastic material. Dimensional reduction leads to the evolution equation for the shape of the poroelastica where, in addition…

Soft Condensed Matter · Physics 2016-08-31 J. M. Skotheim , L. Mahadevan

Athermal (i.e. zero-temperature) under-constrained systems are typically floppy, but they can be rigidified by the application of external strain, which is theoretically well understood. Here and in the companion paper, we extend this…

Soft Condensed Matter · Physics 2024-12-31 Cheng-Tai Lee , Matthias Merkel