Article
Chemistry, Physical
Siyuan Wang, Zean Tian, Kejun Dong, Quan Xie
Summary: The paper discusses the inconsistency between Voronoi neighbors and Euclidean neighbors in 2D and 3D cases in Voronoi tessellation. It is found that as the disorder degree of a system increases, the probability of the Voronoi Neighbor Anomaly (VNA) also increases.
JOURNAL OF ALLOYS AND COMPOUNDS
(2021)
Article
Construction & Building Technology
Anmol Singla, Branko Savija, Lambertus J. Sluys, C. Romero Rodriguez
Summary: Lattice models have been used to predict the durability of cementitious materials, but there is limited research on the computational aspects of these numerical models. This study uses a discretized lattice model to simulate moisture transport in cement-based materials and evaluates various parameters. The results show that the model accurately predicts capillary absorption and provides guidelines for optimizing the computations.
CONSTRUCTION AND BUILDING MATERIALS
(2022)
Article
Computer Science, Interdisciplinary Applications
Herve Moulinec
Summary: This article presents an algorithm for computing digital images of Voronoi, Johnson-Mehl or Laguerre diagrams. The algorithm investigates voxels in balls centered around the sites and processes the remaining voxels outside the balls. It has the advantage of simplicity and is suitable for creating high resolution images of microstructures.
ADVANCES IN ENGINEERING SOFTWARE
(2022)
Article
Engineering, Civil
Erick Rogenes, Alessandra dos Santos Gomes, Marcio Muniz de Farias, Leandro Lima Rasmussen
Summary: In this study, the pseudo-discontinuum modeling technique known as the continuum Voronoi block model (CVBM) was used to simulate the behavior of hard-rock pillars under high field stresses. Numerical analysis of a hypothetical case and the Creighton mine pillar demonstrated that the CVBM can accurately capture the observed behavior, including convergence displacements and the formation of macro-fractures, intact rock slabs, and V-shaped notches parallel to excavation walls. These findings confirm the CVBM as a valuable tool for modeling intact rock pillars in deep underground mines.
Article
Computer Science, Interdisciplinary Applications
Vladimir V. Shashkin, Gordey S. Goyman, Mikhail A. Tolstykh
Summary: This article presents a shallow water model based on the Summation-by-Parts Finite Differences (SBP-FD) method. The applications of the SBP-FD approximation for the cubed-sphere grid in the meteorological context are discussed. The model exhibits various mimetic properties and shows high-order convergence in tests with analytic solutions. It is more accurate than low-order mimetic finite-element methods, but slightly less accurate than high-order finite-volume, spectral-elements, and discontinuous Galerkin schemes.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Engineering, Mechanical
Navyanth Kusampudi, Martin Diehl
Summary: This study proposes a generative machine learning model for identifying low-dimensional descriptors of microstructural features and establishing structure-property relationships. Based on this model, an integrated framework for microstructure characterization, reconstruction, and design is presented for heterogeneous materials with polycrystalline microstructures.
INTERNATIONAL JOURNAL OF PLASTICITY
(2023)
Article
Engineering, Mechanical
Yehui Cui, Xiangguo Zeng, Vincent B. C. Tan, Zhilang Zhang
Summary: In this study, the dynamic fracture performances of NiTi alloy were comprehensively investigated through experiments and simulations. The fracture behavior was found to exhibit quasi-brittle features. A novel constitutive model was proposed to accurately reproduce the crack propagation process. Additionally, it was demonstrated that a smaller grain size could improve the intergranular fracture toughness.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Computer Science, Interdisciplinary Applications
Jiayin Lu, Emanuel A. Lazar, Chris H. Rycroft
Summary: VORO++ is a C++ software library for computing the Voronoi tessellation, which is widely used for analyzing systems of particles. With the use of modern computer hardware, VORO++ enables multithreaded computation of Voronoi cells, achieving high parallel efficiencies. Moreover, it can be incorporated into other programs.
COMPUTER PHYSICS COMMUNICATIONS
(2023)
Article
Materials Science, Ceramics
Fei Chen, Ke Yan, Yongsheng Zhu, Jun Hong
Summary: In this study, a modeling approach based on Voronoi tessellation was developed for whisker-reinforced ceramics (WRC), and the mechanical properties of 0-6 wt% ss-Si3N4w-reinforced Si3N4 ceramics (SWRSC) were predicted. The results showed that the flexural strength of SWRSC increased significantly with the increasing content of ss-Si3N4w. The enhancement mechanisms, including crack deflection, intergranular fracture, and load-bearing effect of ss-Si3N4w, were successfully simulated. The predicted values were consistent with experimental conclusions, confirming the effectiveness of the modeling method.
CERAMICS INTERNATIONAL
(2022)
Article
Engineering, Chemical
C. C. Wang, K. J. Dong, R. P. Zou, A. B. Yu
Summary: The distribution of stars in the universe follows geometric rules with local inhomogeneities, and their Voronoi tessellations exhibit a lognormal distribution connected to the packing of spheres. These findings offer a new perspective on the packing structure of stars in the universe.
Article
Remote Sensing
Y. Wang, H. T. You
Summary: This study analyzes the roles of different classes in the segmentation process to improve the accuracy of synthetic aperture radar (SAR) image segmentation. By defining weight variables for each class and incorporating them into a segmentation model, the proposed approach can automatically determine the importance of each class and accurately segment SAR images.
REMOTE SENSING LETTERS
(2022)
Article
Engineering, Chemical
Changhui Zhang, Shiwei Zhao, Jidong Zhao, Xiaowen Zhou
Summary: This paper proposes a 3D Voronoi analysis framework for realistic grain packing based on XCT and DEM, along with an efficient parallel processing tool PySVT. It reveals significant differences in particle characteristics between 2D and 3D, with emphasis on Voronoi cell morphology and local porosity analysis for void phase.
Article
Chemistry, Physical
Ingo Dierking, Adam Flatley, Daniel Greenhalgh
Summary: An inverse Voronoi tessellation algorithm has been developed for various liquid crystalline textures, accurately determining seed positions of individual cells. The patterns formed via Voronoi tessellation show a similarity of over 80% with the texture micrographs, and can be used for materials optimization and device construction.
JOURNAL OF MOLECULAR LIQUIDS
(2021)
Article
Engineering, Multidisciplinary
Yanjian Lian, Ha H. Bui, Giang D. Nguyen, Hieu T. Tran, Asadul Haque
Summary: The paper introduces a general SPH formulation capable of addressing anisotropic diffusion, demonstrating higher accuracy on disordered particle systems. This newly developed SPH formulation is then used for the first time to solve transient seepage flows, allowing for a complete transition between unsaturated and saturated states, and establishing a general framework for solving such problems in porous media.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Mechanics
A. Liebscher, C. Redenbach
Summary: This work studies the effectiveness of using Laguerre tessellations to represent random foams with various cell sizes. By simulating soap froths and reconstructing them using Laguerre tessellations, the resulting approximations accurately resemble the cellular morphology of the original foams. The Young's modulus is then calculated for low-density solid foams based on these Laguerre approximations, and compared to well-known foams like the Kelvin and Weaire-Phelan foams.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)