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Main characteristics of stationary anisotropic Poisson processes of cylinders (dilated k-dimensional flats) in d-dimensional Euclidean space are studied. Explicit formulae for the capacity functional, the covariance function, the contact…

概率论 · 数学 2010-06-29 Malte Spiess , Evgeny Spodarev

We propose a numerical strategy to generate the anisotropic meshes and select the appropriate stabilized parameters simultaneously for two dimensional convection-dominated convection-diffusion equations by stabilized continuous linear…

数值分析 · 数学 2016-02-09 Yana Di , Hehu Xie , Xiaobo Yin

The graphene-like two-dimensional (2D) silicon carbide or siligraphene has attracted remarkable attentions, owing to its fascinating physical properties. Nevertheless, the first high-quality siligraphene, i.e., monolayer Si9C15 was…

材料科学 · 物理学 2023-02-10 Jianli Zhou , Jian Li , Jin Zhang

The stability of plane Poiseuille flow of a viscous Newtonian fluid in a multilayer channel with anisotropic porous walls is analyzed using the classical modal analysis, the energy method, and the non-modal analysis. The influence of porous…

流体动力学 · 物理学 2024-09-24 Supriya Karmakar , Priyanka Shukla

Material produced by current metal additive manufacturing processes is susceptible to variable performance due to imprecise control of internal porosity, surface roughness, and conformity to designed geometry. Using a double U-notched…

This study is about the properties of the sets of objects associated in a structure resulting from multiple-processes involving chance as are materials whose texture is unordered and random. Being a paper scientist the author refers to the…

材料科学 · 物理学 2015-12-29 Jacques Silvy

The geometric representation at a fixed frequency of the wavevector (or dispersion) surface $\omega(\vec k)$ for lossless, homogeneous dielectric--magnetic uniaxial materials is explored, when the elements of the relative permittivity and…

This paper presents a brand new methodology to deal with isotopic fine structure calculations. By using the Poisson approximation in an entirely novel way, we introduce mathematical elegance into the discussion on the trade-off between…

化学物理 · 物理学 2014-10-28 Mateusz Krzysztof Łącki , Anna Gambin

This paper investigates the problem of time-harmonic acoustic scattering in an inhomogeneous medium with a complex topological structure. Specifically, the medium is anisotropic and contains several disjoint sound-soft obstacles. This model…

数学物理 · 物理学 2025-09-30 Huaian Diao , Qingle Meng , Zhiying Sun

Using density functional theory combined with a semi-empirical van der Waals dispersion correction, we have investigated the stability of lattice defects including boron vacancy, substitutional and interstitial X (X=H, C, B, N, O) and…

材料科学 · 物理学 2017-05-12 V. Wang , W. T. Geng

We study the mechanical response of quasi-brittle polymethyl methacrylate (PMMA) specimens containing controlled random distributions of laser-cut holes. Tensile tests combined with digital image correlation reveal a nearly linear decrease…

In the last decades, significant progress has been made in understanding the multiphase displacement through porous media with homogeneous wettability and its relation to the pore geometry. However, the role of wettability at the scale of…

软凝聚态物质 · 物理学 2012-06-01 Marta S. de La Lama , Martin Brinkmann

Mineral precipitation and dissolution processes in a porous medium can alter the structure of the medium at the scale of pores. Such changes make numerical simulations a challenging task as the geometry of the pores changes in time in an…

数值分析 · 数学 2020-07-13 Manuela Bastidas , Carina Bringedal , Iuliu Sorin Pop

The elastic behavior of materials is of critical importance for the design, fabrication, and testing of industrial and structural components. The ease with which the wave angle of incidence can be varied makes ultrasonic techniques well…

材料科学 · 物理学 2026-04-14 Diego Cowes , Juan I. Mieza , MArtín P. Gómez

The equivalent permeability of a randomly cracked porous material is studied using a finite element program in which a four-nodes zero-thickness element is implemented for modelling the cracks. The numerical simulations are performed for…

经典物理 · 物理学 2008-10-07 Siavash Ghabezloo , Ahmad Pouya

This paper is devoted to the study of the stochastic-periodic homogenization of Poisson-Nernst-Planck equations in porous media. It is shown by the stochastic two-scale convergence method extended to periodic surfaces that results in a…

偏微分方程分析 · 数学 2024-08-26 Franck Tchinda , Joel Fotso Tachago , Joseph Dongho , Fridolin Tchangnwa Nya

Scientists use imaging to identify objects of interest and infer properties of these objects. The locations of these objects are often measured with error, which when ignored leads to biased parameter estimates and inflated variance.…

We argue that the standard classification of isometric deformations into infinitesimal v.s. finite is inadequate for the study of compliant shell mechanisms. Indeed, many compliant shells, particularly ones that are periodically corrugated,…

微分几何 · 数学 2023-10-13 Hussein Nassar , Andrew Weber

In this paper, we introduce tensor involved peridynamics, a unified framework for simulating both isotropic and anisotropic materials. While traditional peridynamics models effectively simulate isotropic materials, they face challenges with…

材料科学 · 物理学 2024-12-23 Hao Tian , Jinlong Shao , Chenguang Liu , Shuo Liu , Xu Guo

For the Poisson equation posed in a domain containing a large number of polygonal perforations, we propose a low-dimensional coarse approximation space based on a coarse polygonal partitioning of the domain. Similarly to other multiscale…

数值分析 · 数学 2024-04-17 Miranda Boutilier , Konstantin Brenner , Victorita Dolean