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The present paper describes a stochastic model of fracture, whose fragment size distribution can be calculated analytically as a power-law-like distribution. The model is basically cascade fracture, but incorporates the effect that each…

统计力学 · 物理学 2013-04-10 Ken Yamamoto , Yoshihiro Yamazaki

We analyze the failure process of a two-component system with widely different fracture strength in the framework of a fiber bundle model with localized load sharing. A fraction 0\leq \alpha \leq 1 of the bundle is strong and it is…

无序系统与神经网络 · 物理学 2013-10-08 K. Kovacs , R. C. Hidalgo , I. Pagonabarraga , F. Kun

We consider dense random packing of disks with a power-law distribution of radii and investigate their correlation properties. We study the corresponding structure factor, mass-radius relation and pair distribution function of the disk…

软凝聚态物质 · 物理学 2023-01-26 Alexander Yu. Cherny , Eugen M. Anitas , Vladimir A. Osipov

Several materials, such as rocks, powders and molecules, are multi-component systems. However, compared to single-component systems, it is difficult to understand the physical component. In this study, as a coarse-grained model for powders…

软凝聚态物质 · 物理学 2024-06-25 Daisuke S. Shimamoto , Miho Yanagisawa

A stochastic model relating the parameters of astrophysical structures to the parameters of their granular components is applied to the formation of hierarchical, large-scale structures from galaxies assumed as point-like objects. If the…

宇宙学与河外天体物理 · 物理学 2009-08-20 S. Capozziello , S. Funkhouser

The correlation properties of a random system of densely packed disks, obeying a power-law size distribution, are analyzed in reciprocal space in the thermodynamic limit. This limit assumes that the total number of disks increases…

软凝聚态物质 · 物理学 2024-11-22 Alexander Yu. Cherny , Eugen M. Anitas , Artem A. Vladimirov , Vladimir A. Osipov

We study the phenomena associated with the low-velocity impact of two solid discs of equal size using a cell model of brittle solids. The fragment ejection exhibits a jet-like structure the direction of which depends on the impact…

凝聚态物理 · 物理学 2015-06-25 F. Kun , H. J. Herrmann

We present a new idea to understand the structure of nuclei, which is comparing to the liquid drop model. After discussing the probability that the nuclear system may be a fractal object with the characteristic of self-similarity, the…

核理论 · 物理学 2015-08-03 W. H. Ma , J. S. Wang , Q. Wang , S. Mukherjee , L. Yang , Y. Y. Yang , M. R. Huang , Y. J. Zhou

The fragmentation of a two-dimensional circular disc by lateral impact is investigated using a cell model of brittle solid. The disc is composed of numerous unbreakable randomly shaped convex polygons connected together by simple elastic…

无序系统与神经网络 · 物理学 2007-05-23 Bhupalendra Behera , Ferenc Kun , Sean McNamara , Hans J. Herrmann

The most important characteristics of the fragmentation of heterogeneous solids is that the mass (size) distribution of pieces is described by a power law functional form. The exponent of the distribution displays a high degree of…

无序系统与神经网络 · 物理学 2015-03-10 Gergo Pal , Imre Varga , Ferenc Kun

We investigate compressive failure of heterogeneous materials on the basis of a continuous progressive damage model. The model explicitely accounts for tensile and shear local damage and reproduces the main features of compressive failure…

材料科学 · 物理学 2012-05-03 Lucas Girard , Jerome Weiss , David Amitrano

Quasi-brittle behavior where macroscopic failure is preceded by stable damaging and intensive cracking activity is a desired feature of materials because it makes fracture predictable. Based on a fiber bundle model with global load sharing…

材料科学 · 物理学 2016-04-07 Ehud D. Karpas , Ferenc Kun

The distribution of the magnitudes of damage avalanches during a failure process typically follows a power law. When these avalanches are recorded close to the point at which the system fails catastrophically, we find that the power law has…

材料科学 · 物理学 2009-08-03 Srutarshi Pradhan , Alex Hansen , Per C. Hemmer

Cohesive particles form agglomerates that are usually very porous. Their geometry, particularly their fractal dimension, depends on the agglomeration process (diffusion-limited or ballistic growth by adding single particles or…

软凝聚态物质 · 物理学 2023-12-07 Dietrich E. Wolf , Thorsten Pöschel

In this letter we address the fragmentation of thin, brittle layers due to the impact of high-velocity projectiles. Our approach is a geometric statistical one, with lines and circles playing the role of cracks, randomly distributed over…

软凝聚态物质 · 物理学 2014-09-30 Rebeca C. Falcão , Fernando Parisio

This papers briefly reviews the progress in studying the long-lived filamentary structures of a skeletal form (namely, tubules and cartwheels, and their simple combinations) in electric discharges in various fusion devices. These include…

等离子体物理 · 物理学 2007-05-23 A. B. Kukushkin , V. A. Rantsev-Kartinov

Large scale molecular dynamics (MD) simulations are performed to study and to model the ejecta production from the dynamic fragmentation of shock-loaded metals under melt conditions. A generic 3D crystal in contact with vacuum containing…

材料科学 · 物理学 2015-01-06 O. Durand , L. Soulard

We investigate the approach to catastrophic failure in a model porous granular material undergoing uniaxial compression. A discrete element computational model is used to simulate both the micro-structure of the material and the complex…

无序系统与神经网络 · 物理学 2014-02-27 F. Kun , I. Varga , S. Lennartz-Sassinek , I. G. Main

We study the fragment size distributions after crushing of single and many particles under uniaxial compression inside a cylindrical container by means of numerical simulations. Under the assumption that breaking goes through the bulk of…

软凝聚态物质 · 物理学 2019-01-16 Pavel S. Iliev , Falk K. Wittel , Hans J. Herrmann

Fractal behavior and long-range dependence have been observed in an astonishing number of physical systems. Either phenomenon has been modeled by self-similar random functions, thereby implying a linear relationship between fractal…

数据分析、统计与概率 · 物理学 2015-06-26 Tilmann Gneiting , Martin Schlather
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