Article
Computer Science, Interdisciplinary Applications
Adrian S. Sabau, Lang Yuan, Jean-Luc Fattebert, John A. Turner
Summary: This paper investigates performance strategies for a cellular automata (CA) simulation code on GPU-based HPC platforms, focusing on non-equilibrium solidification processes in metal additive manufacturing (AM). The results demonstrate that using a precomputed list of interface cells greatly reduces the wall-clock time on GPUs, and the GPU-accelerated code exhibits excellent weak scaling performance.
COMPUTER PHYSICS COMMUNICATIONS
(2023)
Article
Materials Science, Multidisciplinary
Ashish Arote, Junji Shinjo, D. Graham McCartney, Roger C. Reed
Summary: To accurately simulate the free dendritic growth problem, a computationally efficient, accurate, and elegant cell capturing method termed limited circular neighbourhood (LCN) is proposed. The LCN method is able to reduce artificial grid anisotropy and capture growth orientation accurately, resulting in reduced mass loss and shape error compared to other methods. It is also demonstrated that the LCN method is effective for both free dendrite growth in a pure material and constrained dendritic growth in a binary alloy with multiple growth sites.
COMPUTATIONAL MATERIALS SCIENCE
(2023)
Article
Materials Science, Multidisciplinary
Matt Rolchigo, Samuel Temple Reeve, Benjamin Stump, Gerald L. Knapp, John Coleman, Alex Plotkowski, Temple James Belak
Summary: Modeling the grain structures formed during alloy processing is crucial for understanding process-property relationships. Although cellular automata models have been used, their long run times and resource requirements limit their usefulness. In this study, the researchers developed a high-performance ExaCA model that utilizes GPU computing to improve the computational efficiency, enabling accurate part-scale modeling.
COMPUTATIONAL MATERIALS SCIENCE
(2022)
Article
Computer Science, Information Systems
Barbara Wolnik, Maciej Dziemianczuk, Bernard De Baets
Summary: In this paper, the authors investigate non-uniform elementary cellular automata and their relationship with number conservation. They provide a comprehensive characterization of number-conserving cellular automata on finite grids with both periodic and null boundary conditions. The obtained characterization allows for the enumeration of all number-conserving non-uniform elementary cellular automata, revealing a surprising connection to the Fibonacci sequence.
INFORMATION SCIENCES
(2023)
Article
Chemistry, Physical
Wonjoo Lee, Junho Bae, Howon Lee, Seong-hoon Kang, Jonghun Yoon
Summary: A multi-phase lattice Boltzmann method-cellular automata (LBM-CA) model is developed to simulate the micro-structural morphologies of dendritic growth and porosity evolution in solidified Al-Cu alloy. The model takes into account the solidification conditions such as cooling rates and initial hydrogen concentration. The simulation results are validated by comparing with experimental data and can be used for optimizing the solidification conditions to reduce porosity defects.
JOURNAL OF ALLOYS AND COMPOUNDS
(2022)
Article
Engineering, Mechanical
C. Correia Ramos, Nada El Bouziani, Mouhaydine Tlemcani, Sara Fernandes
Summary: In this study, deterministic and probabilistic cellular automata are used to study and describe patterns in material blocks, with a focus on fracture-like patterns. The distribution of the internal structure is obtained using probabilistic cellular automata, and different methods of combining these patterns into a final one are discussed. Refinement techniques are introduced to improve the probability distributions and adjust the behavior of the cellular automata rules.
NONLINEAR DYNAMICS
(2023)
Article
Materials Science, Multidisciplinary
S. M. Elahi, R. Tavakoli, I. Romero, D. Tourret
Summary: A comparison between phase-field (PF) and cellular automaton (CA) simulations in predicting microstructure development during solidification processing revealed that detailed microscopic features related to transient growth conditions and solid-liquid interface stability can only be captured by PF simulations. While refinement of the CA grid partially addressed the disagreement between PF and CA predictions, overall grain distributions lead to a better agreement between the two methods, with some variability depending on the melt pool shape and CA grid.
COMPUTATIONAL MATERIALS SCIENCE
(2022)
Article
Mathematics, Applied
Tim Otto Roth
Summary: A new 'micro-historicizing' approach is proposed in this study for describing one-dimensional cellular automata dynamics, involving the concept of temporal sub-attractors to characterize cell activity as an underlying phase space similar to a heat map. The robustness of the sub-phase space can be assessed based on morphological trajectories, with a bifurcation indicating a non-robust automaton configuration. Temporal sub-attractors introduce a biological stress component into physically inspired cellular automata models, potentially useful in biology, material science, and engineering science.
PHYSICA D-NONLINEAR PHENOMENA
(2021)
Article
Materials Science, Multidisciplinary
Shunyu Liu, Kyung-min Hong, Yung C. Shin
Summary: The study presents a novel 3D Cellular Automata-Phase Field (CA-PF) model for accurately predicting dendrite formation in a large domain, combining the efficiency of CA model with the fidelity of PF model. By coupling thermodynamic and kinetic calculations into the PF component, the model can handle microstructure evolution of complex multi-component alloys.
COMPUTATIONAL MATERIALS SCIENCE
(2021)
Article
Computer Science, Artificial Intelligence
Peter D. Turney
Summary: Conway's Game of Life is a well-known cellular automaton that is considered a classic model of emergence and self-organization, and is believed to be Turing-complete and capable of simulating a universal constructor. The challenge faced is to organize a large family of semi-totalistic cellular automata to make it easier to find interesting automata and understand their relationships. Researchers have proposed different methods for organizing this large family, aiming to locate hidden gems within it.
Review
Mathematics, Applied
Milan Vispoel, Aisling J. Daly, Jan M. Baetens
Summary: This paper provides a structured overview of cellular automaton classification and highlights the limited availability of current classification schemes. Cellular automaton research shows a dichotomy between theoretical analysis and experimental studies, focusing on analytical results and statistical properties respectively.
PHYSICA D-NONLINEAR PHENOMENA
(2022)
Article
Materials Science, Multidisciplinary
Kirubel Teferra, David J. Rowenhorst
Summary: This study introduces the implementation of the cellular automata finite element (CAFE) model for simulating the solidification of additively manufactured materials. The proposed separation of temporal scales improves the computational efficiency and scalability of the model, leading to more accurate simulations of polycrystalline microstructures. The model is validated for 316L stainless steel and further evaluated for different scan patterns to assess their effects on microstructural features.
Article
Materials Science, Multidisciplinary
Daniel Dreelan, Alojz Ivankovic, David J. Browne
Summary: This study reports the development of a Cellular Automata (CA) model for grain nucleation and growth that can simulate columnar and equiaxed solidification. The new model is validated by comparing its predictions to those of the existing Front Tracking (FT) model. The study provides insights into the thermophysical phenomena affecting grain structure evolution and confirms the utility of an equiaxed index.
COMPUTATIONAL MATERIALS SCIENCE
(2022)
Article
Computer Science, Information Systems
D. Hernandez Serrano, A. Martin del Rey
Summary: This article presents the characteristics and properties of virtual cyclic cellular automata, and provides direct examples through the application of recursive estimation of neighbors algorithm. Additionally, it reinterprets (2R + 1)-cyclic cellular automata as recursive sequences and introduces the concept of recursive Wolfram number. Finally, the recursive Wolfram number is computed using a new algorithm.
INFORMATION SCIENCES
(2022)
Article
Engineering, Industrial
Min Zheng, Geng Wang, Weitian Zhou, Lei Wei, Xin Lin, Weidong Huang
Summary: In this study, a real-time coupled simulation model was constructed to investigate the effect of energy input on the grain structure of laser powder bed fusion (L-PBF) fabricated parts. The simulation results showed that energy input significantly influenced the type, distribution, and size of grains, and that grain morphology depended on the location and shape of the fusion boundary. Additionally, comparing the 3D morphology with the 2D cross-section morphology of grains revealed potential biases in 2D experimental observations. The findings of this study are important for guiding process parameters for site-specific microstructure of L-PBF fabricated parts.
JOURNAL OF MATERIALS PROCESSING TECHNOLOGY
(2023)
Article
Engineering, Multidisciplinary
A. A. Aganin, A. I. Davletshin
Summary: A mathematical model of interaction of weakly non-spherical gas bubbles in liquid is proposed in this paper. The model equations are more accurate and compact compared to existing analogs. Five problems are considered for validation, and the results show good agreement with experimental data and numerical solutions. The model is also used to analyze the behavior of bubbles in different clusters, providing meaningful insights.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Hao Wu, Jie Sun, Wen Peng, Lei Jin, Dianhua Zhang
Summary: This study establishes an analytical model for the coupling of temperature, deformation, and residual stress to explore the mechanism of residual stress formation in hot-rolled strip and how to control it. The accuracy of the model is verified by comparing it with a finite element model, and a method to calculate the critical exit crown ratio to maintain strip flatness is proposed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Shengwen Tu, Naoki Morita, Tsutomu Fukui, Kazuki Shibanuma
Summary: This study aimed to extend the finite element method to cope with elastic-plastic problems by introducing the s-version FEM. The s-version FEM, which overlays a set of local mesh with fine element size on the conventional FE mesh, simplifies domain discretisation and provides accurate numerical predictions. Previous applications of the s-version FEM were limited to elastic problems, lacking instructions for stress update in plasticity. This study presents detailed instructions and formulations for addressing plasticity problems with the s-version FEM and analyzes a stress concentration problem with linear/nonlinear material properties.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bo Fan, Zhongmin Wang
Summary: A 3D rotating hyperelastic composite REF model was proposed to analyze the influence of tread structure and rotating angular speed on the vibration characteristics of radial tire. Nonlinear dynamic differential equations and modal equations were established to study the effects of internal pressure, tread pressure sharing ratio, belt structure, and rotating angular speed on the vibration characteristics.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
X. W. Chen, Z. Q. Yue, Wendal Victor Yue
Summary: This paper examines the axisymmetric problem of a flat mixed-mode annular crack near and parallel to an arbitrarily graded interface in functionally graded materials (FGMs). The crack is modeled as plane circular dislocation loop and an efficient solution for dislocation in FGMs is used to calculate the stress field at the crack plane. The analytical solutions of the stress intensity factors are obtained and numerical study is conducted to investigate the fracture mechanics of annular crack in FGMs.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xumin Guo, Jianfei Gu, Hui Li, Kaihua Sun, Xin Wang, Bingjie Zhang, Rangwei Zhang, Dongwu Gao, Junzhe Lin, Bo Wang, Zhong Luo, Wei Sun, Hui Ma
Summary: In this study, a novel approach combining the transfer matrix method and lumped parameter method is proposed to analyze the vibration response of aero-engine pipelines under base harmonic and random excitations. The characteristics of the pipelines are investigated through simulation and experiments, validating the effectiveness of the proposed method.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xiangyu Sha, Aizhong Lu, Ning Zhang
Summary: This paper investigates the stress and displacement of a layered soil with a fractional-order viscoelastic model under time-varying loads. The correctness of the solutions is validated using numerical methods and comparison with existing literature. The research findings are of significant importance for exploring soil behavior and its engineering applications under time-varying loads.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Thuy Dong Dang, Thi Kieu My Do, Minh Duc Vu, Ngoc Ly Le, Tho Hung Vu, Hoai Nam Vu
Summary: This paper investigates the nonlinear torsional buckling of corrugated core sandwich toroidal shell segments with functionally graded graphene-reinforced composite (FG-GRC) laminated coatings in temperature change using the Ritz energy method. The results show the significant beneficial effects of FG-GRC laminated coatings and corrugated core on the nonlinear buckling responses of structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Zhihao Zhai, Chengbiao Cai, Qinglai Zhang, Shengyang Zhu
Summary: This paper investigates the effect of localized cracks induced by environmental factors on the dynamic performance and service life of ballastless track in high-speed railways. A mathematical approach for forced vibrations of Mindlin plates with a side crack is derived and implemented into a train-track coupled dynamic system. The accuracy of this approach is verified by comparing with simulation and experimental results, and the dynamic behavior of the side crack under different conditions is analyzed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
James Vidler, Andrei Kotousov, Ching-Tai Ng
Summary: The far-field methodology, developed by J.C. Maxwell, is utilized to estimate the effective third order elastic constants of composite media containing random distribution of spherical particles. The results agree with previous studies and can be applied to homogenization problems in other fields.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Kim Q. Tran, Tien-Dat Hoang, Jaehong Lee, H. Nguyen-Xuan
Summary: This study presents novel frameworks for graphene platelets reinforced functionally graded triply periodic minimal surface (GPLR-FG-TPMS) plates and investigates their performance through static and free vibration analyses. The results show that the mass density framework has potential for comparing different porous cores and provides a low weight and high stiffness-to-weight ratio. Primitive plates exhibit superior performance among thick plates.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bence Hauck, Andras Szekrenyes
Summary: This study explores several methods for computing the J-integral in laminated composite plate structures with delamination. It introduces two special types of plate finite elements and a numerical algorithm. The study presents compact formulations for calculating the J-integral and applies matrix multiplication to take advantage of plate transition elements. The models and algorithms are applied to case studies and compared with analytical and previously used finite element solutions.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Wu Ce Xing, Jiaxing Wang, Yan Qing Wang
Summary: This paper proposes an effective mathematical model for bolted flange joints to study their vibration characteristics. By modeling the flange and bolted joints, governing equations are derived. Experimental studies confirm that the model can accurately predict the vibration characteristics of multiple-plate structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Pingchao Yu, Li Hou, Ke Jiang, Zihan Jiang, Xuanjun Tao
Summary: This paper investigates the imbalance problem in rotating machinery and finds that mass imbalance can induce lateral-torsional coupling vibration. By developing a model and conducting detailed analysis, it is discovered that mass imbalance leads to nonlinear time-varying characteristics and there is no steady-state torsional vibration in small unbalanced rotors. Under largely unbalanced conditions, both resonant and unstable behavior can be observed, and increasing lateral damping can suppress instability and reduce lateral amplitude in the resonance region.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Yong Cao, Ziwen Guo, Yilin Qu
Summary: This paper investigates the mechanically induced electric potential and charge redistribution in a piezoelectric semiconductor cylindrical shell. The results show that doping levels can affect the electric potentials and mechanical displacements, and alter the peak position of the zeroth-order electric potential. The doping level also has an inhibiting effect on the first natural frequency. These findings are crucial for optimizing the design and performance of cylindrical shell-shaped sensors and energy harvesters.
APPLIED MATHEMATICAL MODELLING
(2024)