Article
Mathematics, Applied
Otheman Nouisser, Benaissa Zerroudi
Summary: The paper presents an improvement of the Hexagonal Shepard method, utilizing functional and first order derivative data. By using six-point basis functions and a modified local interpolant, the resulting operator can reproduce polynomials up to degree 3 and has quartic approximation order. The numerical results demonstrate the good accuracy of the proposed operator.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2021)
Article
Engineering, Multidisciplinary
Giorgio Previati, Federico Ballo, Massimiliano Gobbi
Summary: This article presents a novel density interpolation scheme based on nodal density variables, which can interpolate the density field and ensure the physical meaningfulness of the interpolated values. The utilization of an independent interpolation mesh allows for the utilization of any element type and geometry on the body for the computation of the displacements, and the domain of the interpolation mesh can differ from the domain of the mesh for the displacements computation. Examples are provided showing the performance of the proposed interpolation scheme.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Du Dinh Nguyen, Minh Ngoc Nguyen, Nguyen Dinh Duc, Jaroon Rungamornrat, Tinh Quoc Bui
Summary: The study introduces the CIP-enhanced four-node quadrilateral element and eight-node hexahedral element for investigating geometrically nonlinear problems. By incorporating novel numerical integration schemes, the efficiency of the method is enhanced, showing higher computational efficiency and equivalent accuracy compared to traditional Gaussian quadrature.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Engineering, Multidisciplinary
Xueping Li, Chuhao Qin, Peng Wei, Cheng Su
Summary: This article introduces a boundary density evolutionary topology optimization method, which utilizes a material interpolation model and density grading filtering to achieve an optimal topology with only 0/1 cells. Compared to other methods, it eliminates the need for a penalty factor and allows for intermediate-density elements while still removing low-utilization materials.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Engineering, Mechanical
Yaning Tang, Zaijun Liang, Wenxian Xie
Summary: The paper focuses on the integrable nonlinear Schrodinger equation with quintic terms, which is widely used in modeling the propagation of light pulses in optical fibers. The spectral signatures and periodized wavetrains of the spatial Lax pair are investigated analytically and numerically, and the formation of rogue waves is analyzed. The results are important for understanding the excitation of nonlinear waves in various fields.
NONLINEAR DYNAMICS
(2022)
Article
Multidisciplinary Sciences
Tatpon Siripraparat, Kritsana Neammanee
Summary: This study focuses on the local limit theorem for Poisson binomial random variables S-n, providing improved explicit bounds for the density of Sn based on Neammanee's ideas.
Article
Mechanics
Teng Zhou, Yuhan Lu, Zaijie Liu, Chao Yan
Summary: This study investigates the control of oblique breakdown in a supersonic boundary layer at Mach 2.0 using a local cooling strip. It is found that the strip can effectively suppress the amplification of fundamental oblique waves and improve the stability of the boundary layer. Additionally, placing the cooling strip farther downstream enhances the stabilizing effect on higher-harmonic modes, while placing it in the midstream area can significantly improve the performance in suppressing transition.
Article
Geosciences, Multidisciplinary
Trevor J. McDougall, Paul M. Barker, Ryan M. Holmes, Rich Pawlowicz, Stephen M. Griffies, Paul J. Durack
Summary: This article discusses the impact of TEOS-10 and EOS-80 equations on ocean heat content, particularly focusing on the interpretation of salinity and temperature variables in coupled models, as well as how to calculate and compare data from these models with observational data.
GEOSCIENTIFIC MODEL DEVELOPMENT
(2021)
Article
Energy & Fuels
Yang Xia, Li Chen, Jiwang Luo, Wenquan Tao
Summary: Topology optimization is used to improve the cooling performance of microchannel heat sinks. In this study, five different inlet and outlet structure combinations are optimized using bi-objective topology optimization based on the density method. The results show that the straight line inlet and outlet with extension areas (SE) can significantly reduce power dissipation while maintaining the same heat transfer performance. The effects of Reynolds number, the ratio of solid and fluid thermal conductivity, and the dimensionless heat generation coefficient are also investigated.
Article
Mechanics
Shaofeng Xu, Lili Gu, Junlin Fang, Yarong Zhang, Ying Guo, Jianjun Shi
Summary: This study develops a numerical solver based on graphic processing units to simulate multicomponent gas flows. Two- and three-dimensional Jacobian matrices are used to reconstruct numerical fluxes and implement a total variation diminishing scheme. The solver is validated through studying the early-stage mass transfer of gas jets and shows stable functioning despite high mass fraction gradients. It provides a better understanding of gas jet dynamics and offers a mathematical foundation for constructing higher schemes.
Article
Astronomy & Astrophysics
Amin Mosallanezhad, De-Fu Bu, Miljenko Cemeljic, Fatemeh Zahra Zeraatgari, Yang Hai, Liquan Mei
Summary: This article investigates the possibility of wind production in the hot accretion flows around black holes. Numerical simulations show that winds can be produced around Bondi radius in the absence of nuclear stars gravity, resulting in a decrease in the mass inflow rate.
ASTROPHYSICAL JOURNAL
(2022)
Article
Computer Science, Interdisciplinary Applications
Xuandong Chen, Qing Zhang, Ping Chen, Qiuqun Liang
Summary: Reinforcement corrosion is the main cause of durability failure in reinforced concrete structures. A 3D numerical model was established to investigate the corrosion mechanisms, revealing that the average corrosion current density is more sensitive to changes in cathodic Tafel slope and anodic equilibrium potential. Factors such as anode-to-cathode ratio and anodic length also significantly influence corrosion rates, particularly in scenarios where the A/C ratio is less than 0.5 and anodic length is less than 35 mm. The study also showed that semi-circumferential corrosion has a higher corrosion rate compared to circumferential corrosion for the same A/C ratio value.
COMPUTERS AND CONCRETE
(2021)
Article
Computer Science, Interdisciplinary Applications
Yang Song, Pei Wang, Lili Wang
Summary: This study investigated the Rayleigh-Taylor instability with a density gradient layer through implicit large eddy simulations, comparing and studying the behaviors of turbulent mixing layer in classic and premixed cases. Different flow quantities for various cases at different times were compared, and the dynamics of turbulent mixing caused by RTI with single-mode perturbations were examined. It was found that an initial premixed layer slows down the growth of turbulent mixing layer significantly and requires more time for spectra adjustment before turning to a self-similar regime.
COMPUTERS & FLUIDS
(2021)
Article
Engineering, Manufacturing
Peiyuan Dai, Phyo Myat Kyaw, Naoki Osawa, Sherif Rashed, Donghui Ma, Jun Okada, Masahito Honnami
Summary: This study proposes a multi-process numerical simulation model to estimate local residual stresses and improved shape profiles induced by HFMI treatment in welded joints. The simulation results were validated by comparing with experimental measurements, and good agreement was achieved. The proposed simulation approach provides a reliable tool for predicting the effects of HFMI treatment on welded structures.
JOURNAL OF MANUFACTURING PROCESSES
(2023)
Article
Mathematics, Applied
Ram Jiwari
Summary: This article develops numerical algorithms for solving multidimensional sine-Gordon (SG) equation using barycentric rational interpolation and local radial basis functions. The algorithms involve semi-discretization in time, analysis of truncation errors and convergence, full discretization using two different functions, and solving a linear system with MATLAB routine. Numerical experiments include 1D and 2D SG equations with examples of line and ring solitons, along with a comparative study of results with existing numerical solutions and exact solutions.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
(2021)
Article
Engineering, Multidisciplinary
Xiaopeng Zhang, Akihiro Takezawa, Zhan Kang
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2019)
Article
Nanoscience & Nanotechnology
Hao Li, Ming Li, Fengwei Li, Zhan Kang
Article
Engineering, Mechanical
Yiqiang Wang, Ole Sigmund
EXTREME MECHANICS LETTERS
(2020)
Article
Instruments & Instrumentation
Di Guo, Zhan Kang
SMART MATERIALS AND STRUCTURES
(2020)
Article
Mechanics
Yangjun Luo, Jian Xing, Zhan Kang, Junjie Zhan, Ming Li
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2020)
Article
Instruments & Instrumentation
Di Guo, Zhan Kang, Yiqiang Wang, Ming Li
Summary: This study creates multi-material soft modules using topology optimization method to design two types of modules, enabling target bending curvatures and maximal twisting capability. By assembling these modules, various actuation modes can be achieved, including a soft gripper for complex grasping tasks. Both numerical and experimental results verify the performance of the multi-material soft modules and modularized SPAs.
SMART MATERIALS AND STRUCTURES
(2021)
Article
Computer Science, Interdisciplinary Applications
Yaguang Wang, Zhan Kang
Summary: This paper presents MATLAB implementations of the velocity field level set method for topology optimization, providing codes for 2D and 3D static compliance minimization problems. The method allows for clear and smooth material boundaries in structural designs and enables the use of general mathematical programming algorithms to handle additional constraints efficiently.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Yixiao Zhu, Yaguang Wang, Xiaopeng Zhang, Zhan Kang
Summary: This paper proposes a new constraint form to prevent natural frequencies from falling within a given frequency band. The effectiveness of this constraint is demonstrated in topology optimization, where topological evolutions of the structural configuration are involved during the optimization process.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Engineering, Multidisciplinary
Wenjun Wu, Huikai Zhang, Yiqiang Wang, Pai Liu, Zhan Kang
Summary: In this paper, a numerical method of concurrent topology optimization is proposed for maximizing the natural frequencies of structures consisting of layer-wise graded microstructures. The method allows for simultaneous optimization of the configuration and spatial distribution of graded microstructures in the macrostructural design domain, with the use of microscale design constraints to retain the desired design space.
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
(2023)
Article
Mechanics
Ya-Fei Zhao, Shun-Qi Zhang, Xiang Wang, Song-Yun Ma, Guo-Zhong Zhao, Zhan Kang
Summary: This article develops a geometrically nonlinear finite element formulation based on the first-order shear deformation hypothesis for static and dynamic analysis of carbon nanotube reinforced magneto-electro-elastic plates. It verifies the proposed model and studies the impact of different functionally graded patterns on reinforcement efficiency.
COMPOSITE STRUCTURES
(2022)
Article
Nanoscience & Nanotechnology
Chen Du, Yiqiang Wang, Zhan Kang
Summary: This paper proposes a novel family of metamaterials that can achieve and maintain negative Poisson's ratios up to 0.50 applied strains by fully utilizing out-of-plane buckling. These materials possess unique properties, including a wide range of negative Poisson's ratios, sheet thickness-insensitive auxeticity, and excellent shape recoverability. They have potential applications in areas such as compliant robotics, bio-medical devices, and flexible electronics.
ACS APPLIED MATERIALS & INTERFACES
(2023)
Article
Materials Science, Multidisciplinary
Wenjun Wu, Pai Liu, Yiqiang Wang, Zhan Kang
Summary: This paper introduces a new design of bistable structures that achieve torsional bistability under uniaxial compression. The proposed structure is composed of two co-axis polygonal prisms connected by struts, and torsional bistability is achieved by opposite rotations of the prisms. An analytical model and numerical simulations demonstrate the need for a dual-material design for the inclined and connecting struts to induce bistability.
MATERIALS & DESIGN
(2023)
Article
Mechanics
Yixiao Zhu, Zhan Kang
Summary: This paper presents a more efficient topology optimization method for three-dimensional Phononic Crystals (PnCs) by avoiding the expensive eigenvalue problem and improving the design iteration efficiency through successive iteration of analysis and design. The effectiveness of the proposed method is demonstrated by numerical examples with over one million degrees of freedom.
COMPOSITE STRUCTURES
(2023)
Article
Multidisciplinary Sciences
Huikai Zhang, Zhan Kang, Yiqiang Wang, Wenjun Wu
ADVANCED THEORY AND SIMULATIONS
(2020)
Article
Engineering, Multidisciplinary
Akshay J. Thomas, Mateusz Jaszczuk, Eduardo Barocio, Gourab Ghosh, Ilias Bilionis, R. Byron Pipes
Summary: We propose a physics-guided transfer learning approach to predict the thermal conductivity of additively manufactured short-fiber reinforced polymers using micro-structural characteristics obtained from tensile tests. A Bayesian framework is developed to transfer the thermal conductivity properties across different extrusion deposition additive manufacturing systems. The experimental results demonstrate the effectiveness and reliability of our method in accounting for epistemic and aleatory uncertainties.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Zhen Zhang, Zongren Zou, Ellen Kuhl, George Em Karniadakis
Summary: In this study, deep learning and artificial intelligence were used to discover a mathematical model for the progression of Alzheimer's disease. By analyzing longitudinal tau positron emission tomography data, a reaction-diffusion type partial differential equation for tau protein misfolding and spreading was discovered. The results showed different misfolding models for Alzheimer's and healthy control groups, indicating faster misfolding in Alzheimer's group. The study provides a foundation for early diagnosis and treatment of Alzheimer's disease and other misfolding-protein based neurodegenerative disorders using image-based technologies.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jonghyuk Baek, Jiun-Shyan Chen
Summary: This paper introduces an improved neural network-enhanced reproducing kernel particle method for modeling the localization of brittle fractures. By adding a neural network approximation to the background reproducing kernel approximation, the method allows for the automatic location and insertion of discontinuities in the function space, enhancing the modeling effectiveness. The proposed method uses an energy-based loss function for optimization and regularizes the approximation results through constraints on the spatial gradient of the parametric coordinates, ensuring convergence.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Bodhinanda Chandra, Ryota Hashimoto, Shinnosuke Matsumi, Ken Kamrin, Kenichi Soga
Summary: This paper proposes new and robust stabilization strategies for accurately modeling incompressible fluid flow problems in the material point method (MPM). The proposed approach adopts a monolithic displacement-pressure formulation and integrates two stabilization strategies to ensure stability. The effectiveness of the proposed method is validated through benchmark cases and real-world scenarios involving violent free-surface fluid motion.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Chao Peng, Alessandro Tasora, Dario Fusai, Dario Mangoni
Summary: This article discusses the importance of the tangent stiffness matrix of constraints in multibody systems and provides a general formulation based on quaternion parametrization. The article also presents the analytical expression of the tangent stiffness matrix derived through linearization. Examples demonstrate the positive effect of this additional stiffness term on static and eigenvalue analyses.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Thibaut Vadcard, Fabrice Thouverez, Alain Batailly
Summary: This contribution presents a methodology for detecting isolated branches of periodic solutions to nonlinear mechanical equations. The method combines harmonic balance method-based solving procedure with the Melnikov energy principle. It is able to predict the location of isolated branches of solutions near families of autonomous periodic solutions. The relevance and accuracy of this methodology are demonstrated through academic and industrial applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Weisheng Zhang, Yue Wang, Sung-Kie Youn, Xu Guo
Summary: This study proposes a sketch-guided topology optimization approach based on machine learning, which incorporates computer sketches as constraint functions to improve the efficiency of computer-aided structural design models and meet the design intention and requirements of designers.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Leilei Chen, Zhongwang Wang, Haojie Lian, Yujing Ma, Zhuxuan Meng, Pei Li, Chensen Ding, Stephane P. A. Bordas
Summary: This paper presents a model order reduction method for electromagnetic boundary element analysis and extends it to computer-aided design integrated shape optimization of multi-frequency electromagnetic scattering problems. The proposed method utilizes a series expansion technique and the second-order Arnoldi procedure to reduce the order of original systems. It also employs the isogeometric boundary element method to ensure geometric exactness and avoid re-meshing during shape optimization. The Grey Wolf Optimization-Artificial Neural Network is used as a surrogate model for shape optimization, with radar cross section as the objective function.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
C. Pilloton, P. N. Sun, X. Zhang, A. Colagrossi
Summary: This paper investigates the smoothed particle hydrodynamics (SPH) simulations of violent sloshing flows and discusses the impact of volume conservation errors on the simulation results. Different techniques are used to directly measure the particles' volumes and stabilization terms are introduced to control the errors. Experimental comparisons demonstrate the effectiveness of the numerical techniques.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Ye Lu, Weidong Zhu
Summary: This work presents a novel global digital image correlation (DIC) method based on a convolution finite element (C-FE) approximation. The C-FE based DIC provides highly smooth and accurate displacement and strain results with the same element size as the usual finite element (FE) based DIC. The proposed method's formulation and implementation, as well as the controlling parameters, have been discussed in detail. The C-FE method outperformed the FE method in all tested examples, demonstrating its potential for highly smooth, accurate, and robust DIC analysis.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Mojtaba Ghasemi, Mohsen Zare, Amir Zahedi, Pavel Trojovsky, Laith Abualigah, Eva Trojovska
Summary: This paper introduces Lung performance-based optimization (LPO), a novel algorithm that draws inspiration from the efficient oxygen exchange in the lungs. Through experiments and comparisons with contemporary algorithms, LPO demonstrates its effectiveness in solving complex optimization problems and shows potential for a wide range of applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jingyu Hu, Yang Liu, Huixin Huang, Shutian Liu
Summary: In this study, a new topology optimization method is proposed for structures with embedded components, considering the tension/compression asymmetric interface stress constraint. The method optimizes the topology of the host structure and the layout of embedded components simultaneously, and a new interpolation model is developed to determine interface layers between the host structure and embedded components.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Qiang Liu, Wei Zhu, Xiyu Jia, Feng Ma, Jun Wen, Yixiong Wu, Kuangqi Chen, Zhenhai Zhang, Shuang Wang
Summary: In this study, a multiscale and nonlinear turbulence characteristic extraction model using a graph neural network was designed. This model can directly compute turbulence data without resorting to simplified formulas. Experimental results demonstrate that the model has high computational performance in turbulence calculation.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jacinto Ulloa, Geert Degrande, Jose E. Andrade, Stijn Francois
Summary: This paper presents a multi-temporal formulation for simulating elastoplastic solids under cyclic loading. The proper generalized decomposition (PGD) is leveraged to decompose the displacements into multiple time scales, separating the spatial and intra-cyclic dependence from the inter-cyclic variation, thereby reducing computational burden.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Utkarsh Utkarsh, Valentin Churavy, Yingbo Ma, Tim Besard, Prakitr Srisuma, Tim Gymnich, Adam R. Gerlach, Alan Edelman, George Barbastathis, Richard D. Braatz, Christopher Rackauckas
Summary: This article presents a high-performance vendor-agnostic method for massively parallel solving of ordinary and stochastic differential equations on GPUs. The method integrates with a popular differential equation solver library and achieves state-of-the-art performance compared to hand-optimized kernels.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)