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In this paper we show for the first time the phenomenon of negative reflection in a simple mechanical structure. The latter is a grating of fixed inclusions embedded in a linear elastic matrix. Numerical analyses for out-of-plane shear…

Classical Physics · Physics 2023-08-02 Bibinur Meirbekova , Lorenzo Morini , Michele Brun , Giorgio Carta

We investigate the fragmentation of ring-like brittle structures under explosive loading using a discrete element model. By systematically varying ring thickness and strain rate, we uncover a transition from one-dimensional (1D)…

Disordered Systems and Neural Networks · Physics 2025-08-01 Csanád Szuszik , Ferenc Kun

Crystal plasticity is mediated through dislocations, which form knotted configurations in a complex energy landscape. Once they disentangle and move, they may also be impeded by permanent obstacles with finite energy barriers or frustrating…

Materials Science · Physics 2018-01-17 Stefanos Papanikolaou , Yinan Cui , Nasr Ghoniem

We experimentally and numerically study the structure and dynamics of a mono-disperse packing of spontaneously aligning self-propelled hard disks. The packings are such that their equilibrium counterparts form perfectly ordered hexagonal…

Soft Condensed Matter · Physics 2018-05-23 Guillaume Briand , Michael Schindler , Olivier Dauchot

We analyze the steady fluid flow in a porous medium containing a network of thin fissures i.e. width $\mathcal{O}(\epsilon)$, where all the cracks are generated by the rigid translation of a continuous piecewise $C^{1}$ functions in a fixed…

Analysis of PDEs · Mathematics 2013-12-17 Fernando A. Morales

Crack formation is conventionally described as a nucleation phenomenon despite the fact that the temperatures necessary to overcome the nucleation barrier are far too high. In this paper we consider the possibility that cracks are created…

Statistical Mechanics · Physics 2009-10-31 Peter F. Arndt , Thomas Nattermann

Rotating clusters or vortices are formations of agents that rotate around a common center. These patterns may be found in very different contexts: from swirling fish to surveillance drones. Here, we propose a minimal model for…

Adaptation and Self-Organizing Systems · Physics 2023-05-16 Julia Cantisán , Jesús M. Seoane , Miguel A. F. Sanjuán

An objective prism H alpha survey has shown that there is a population of early type spiral galaxies in nearby clusters with strong central bursts of star formation which could be due to galaxy--galaxy tidal interactions. Such galaxies are…

Astrophysics · Physics 2007-05-23 C. Moss , M. Whittle , J. E. Pesce , H. Navarro

Curvature and mechanics are intimately connected for thin materials, and this coupling between geometry and physical properties is readily seen in folded structures from intestinal villi and pollen grains, to wrinkled membranes and…

In this paper, we show that equiangular spirals (also known as logarithmic spirals) appear naturally in fluids going through sinks. We provide a simple mathematical model that explains the spiral forms in some natural formations. For this…

History and Overview · Mathematics 2021-10-29 Khristo N. Boyadzhiev

We describe a new phenomenon in models of coalescence and fragmentation, that of gel-shatter cycles. These are dynamical, unforced, stochastic cycles in which slow, approximately deterministic coalescence up to and beyond gelation is…

Dynamical Systems · Mathematics 2021-05-26 Brennen T. Fagan , Niall J. MacKay , Dmitri O. Pushkin , A. Jamie Wood

Non-relativistic particles that are effectively confined to two dimensions can in general move on curved surfaces, allowing dynamical phenomena beyond what can be described with scalar potentials or even vector gauge fields. Here we…

Quantum Physics · Physics 2022-11-15 James R. Anglin , Etienne Wamba

Experiments on fracture surface morphologies offer increasing amounts of data that can be analyzed using methods of statistical physics. One finds scaling exponents associated with correlation and structure functions, indicating a rich…

Materials Science · Physics 2009-11-11 Eran Bouchbinder , Itamar Procaccia , Shani Sela

Crack propagation is studied numerically using a continuum phase-field approach to mode III brittle fracture. The results shed light on the physics that controls the speed of accelerating cracks and the characteristic branching instability…

Materials Science · Physics 2009-11-10 Alain Karma , Alexander E. Lobkovsky

Spontaneous symmetry breaking plays a pivotal role in physics ranging from the emergence of elementary particles to the phase transitions of matter. The spontaneous breaking of continuous time translation symmetry leads to a novel state of…

Pattern formation in clouds is a well-known feature, which can be observed almost every day. However, the guiding processes for structure formation are mostly unknown, and also theoretical investigations of cloud patterns are quite rare.…

Dynamical Systems · Mathematics 2021-01-06 Juliane Rosemeier , Peter Spichtinger

Drying a droplet of colloidal dispersion can result in complex pattern formation due to both development and deformation of a skin at the drop surface. The present study focus on the drying process of droplets of colloidal dispersions in a…

Soft Condensed Matter · Physics 2012-11-08 François Boulogne , Frédérique Giorgiutti-Dauphiné , Ludovic Pauchard

We find that, under certain conditions, protoplanetary disks may spontaneously generate multiple, concentric gas rings without an embedded planet through an eccentric cooling instability. Using both linear theory and non-linear…

Earth and Planetary Astrophysics · Physics 2021-04-07 Jiaru Li , Adam M. Dempsey , Hui Li , Shengtai Li

We investigate collective phenomena with rotationally driven spinners of concave shape. Each spinner experiences a constant internal torque in either a clockwise or counterclockwise direction. Although the spinners are modeled as hard,…

Soft Condensed Matter · Physics 2014-03-10 Nguyen H. P. Nguyen , Daphne Klotsa , Michael Engel , Sharon C. Glotzer

We argue that nucleation of brittle cracks in initially flawless soft elastic solids is preceded by a nonlinear elastic instability, which cannot be captured without accounting for geometrical precise description of finite elastic…

Soft Condensed Matter · Physics 2024-06-17 D. Riccobelli , P. Ciarletta , G. Vitale , C. Maurini , L. Truskinovsky
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