Article
Mathematics, Applied
Qiang Gui, Wei Li, Yingbin Chai
Summary: In this work, a novel enriched quadrilateral overlapping element is proposed for solving time-harmonic acoustic problems with large wavenumber. By strengthening the original overlapping elements with harmonic trigonometric functions, the proposed method can effectively reduce numerical dispersions and numerical anisotropy without changing the mesh topology. The developed method shows promising potential in practical engineering applications for time-harmonic acoustics.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Engineering, Geological
Ionut Dragos Moldovan, Antonio Gomes Correia
Summary: A novel procedure for optimizing the location of receiver bender elements to avoid distortion of output signals while maintaining shear wave signal strength is presented. Experimental validation confirms that this method leads to output signals that are easier to interpret.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Denis Duhamel
Summary: This paper presents a method for calculating high-frequency wave radiation in exterior domains using finite element methods. By decomposing the solution into an analytical part and a numerical part in a series expansion, the solution to the radiation or scattering problem can be obtained by solving a sparse linear system. The proposed method offers advantages in terms of computational efficiency and result accuracy.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Ionut Dragos Moldovan, Natalia Climent, Elena Daniela Bendea, Ildi Cismasiu, Antonio Gomes Correia
Summary: Hybrid-Trefftz finite elements are suitable for modeling materials under highly transient loading, embedding physical information and removing sensitivity to high solution gradients. However, there is currently no public software using this method.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Computer Science, Interdisciplinary Applications
Ruiheng Li, Jinpeng Wang, Wenxin Kong, Nian Yu, Tianyang Li, Chao Wang
Summary: An improved goal-oriented hybrid mesh adaptive method is proposed in this study, which strikes a balance between high precision and computational efficiency. By using triangular prism elements to divide the near-surface area, the number of required elements is significantly reduced, leading to improved numerical accuracy and computational efficiency.
COMPUTERS & GEOSCIENCES
(2023)
Article
Mathematics, Applied
Chupeng Ma, Christian Alber, Robert Scheichl
Summary: In this paper, a generalized finite element (FE) method with optimal local approximation spaces is studied for solving high-frequency heterogeneous Helmholtz problems. The method achieves wavenumber explicit and nearly exponential decay rates for local and global approximation errors without assumptions on subdomain size. It establishes quasi-optimal convergence assuming the size of subdomains is O(1/k). The method extends plane wave part to the heterogeneous-coefficients case and provides an efficient noniterative domain decomposition method for solving discrete Helmholtz problems.
SIAM JOURNAL ON NUMERICAL ANALYSIS
(2023)
Article
Mathematics, Applied
Tao Cui, Ziming Wang, Xueshuang Xiang
Summary: In this paper, a plane wave activation based neural network (PWNN) is proposed to efficiently solve the Helmholtz equation with constant coefficients and relatively large wave number kappa. PWNN significantly improves the computational speed and accuracy, compared to traditional activation based neural networks (TANN) and the finite difference method (FDM), especially for large wave number problems. Theoretical guidance is given based on new error estimates for choosing the number of neural network's neurons and the initial value to accelerate network training. Numerical experiments in 2D and 3D demonstrate the efficiency and accuracy of PWNN, particularly for large wave number problems.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2022)
Article
Engineering, Multidisciplinary
Maicon R. Correa, Giovanni Taraschi
Summary: In this work, a computational strategy based on H(div,12) is proposed for post-processing the flux vector of the approximated solution of a second-order elliptic equation. The recovery strategy utilizes ABFt spaces to achieve locally conservative approximations of the flux and has been proven to provide optimal order approximations on quadrilateral meshes.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Chaemin Lee, San Kim, Phill-Seung Lee
Summary: The strain-smoothed element (SSE) method has been developed and applied to improve the convergence behavior of finite elements, limited to constant strain elements. In this paper, the SSE method was successfully applied to a 4-node quadrilateral finite element using piecewise linear shape functions, resulting in significantly improved accuracy.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Ying-Qing Huang, Yuan-Fan Yang, Ji-Zhen Wang, Xiao-Chuan Liu, Hai-Bo Chen
Summary: This article introduces unsymmetric finite elements based on the virtual work principle, extending incompatible quadrilateral and hexahedral elements. The approach uses isoparametric shape functions and incompatible functions as test functions, with the addition of internal nodes for trial functions with quadratic completeness. By establishing a local coordinate frame, trial shape functions can be explicitly obtained, avoiding matrix inversion and maintaining high numerical accuracy. The elements exhibit insensitivity to mesh distortion and have easy implementation.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Mathematics, Applied
Giovanni Taraschi, Maicon R. Correa
Summary: In this paper, the Primal Hybrid Finite Element Method is used to approximate a second order elliptic equation (Darcy problem) on quadrilateral meshes. New results are presented regarding the sufficient and, in some cases, necessary conditions to achieve optimal convergence rates on convex quadrilaterals obtained from bilinear mappings. Numerical experiments are conducted to demonstrate the theoretical findings.
APPLIED NUMERICAL MATHEMATICS
(2022)
Article
Mathematics, Interdisciplinary Applications
N. Climent, I. D. Moldovan, E. D. Bendea
Summary: This paper derives the formulation of hybrid-Trefftz displacement finite elements for transient problems in three-dimensional elastic media. The formulation is implemented as a new module in FreeHyTE, an open-source and user-friendly Trefftz platform. Numerical tests show satisfactory results for the new 3D FreeHyTE module implemented with the functions derived in this paper.
COMPUTATIONAL MECHANICS
(2022)
Article
Engineering, Civil
Jianghuai Li
Summary: This study proposes new finite element methods for functionally graded piezoelectric shells that can accurately, efficiently, and comprehensively describe such structures. The shell element is treated as a three-dimensional continuum and its middle surface is represented with a quadrilateral spectral element. The shell geometry is described by scaling the middle surface along the thickness, while the displacements and electric potential are approximated using consistent quadratic Lagrange interpolation. The developed approach is verified by solving piezoelectric or functionally graded plate problems with reference solutions. The influence of power-law index and span-to-thickness ratio on the static and free vibration behaviors of the functionally graded structures is investigated and the optimal value of lambda for general functionally graded shells is determined.
THIN-WALLED STRUCTURES
(2023)
Article
Computer Science, Interdisciplinary Applications
Jianghuai Li, Zihua Zhang, Lei Liu
Summary: This paper introduces new variable-order shell elements that only require the discretization of the shell mid-surface, utilize the assumed natural strain method to eliminate locking effects, and demonstrate superior performance in terms of applicability, accuracy, and efficiency.
COMPUTERS & STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Yuan-Fan Yang, Ying-Qing Huang, Ji-Zhen Wang, Xiao-Chuan Liu, Hai-Bo Chen
Summary: In this paper, two 8-node quadrilateral elements are developed by introducing two different incompatible modes into the unsymmetric formulation. These elements exhibit higher tolerance to mesh distortion in shearing-dominated problems and provide exact solutions for both pure and linear bending problems. They are also invariant, rapidly converging, and free of various locking problems.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Mechanics
W. T. Ang, X. Wang, H. Fan
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2016)
Article
Materials Science, Multidisciplinary
Xu Wang, Hui Fan
MATHEMATICS AND MECHANICS OF SOLIDS
(2017)
Article
Mathematics, Applied
X. Wang, W. T. Ang, H. Fan
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2018)
Article
Chemistry, Multidisciplinary
Guiping Zhu, Hui Fan, Hulin Huang, Fei Duan
Article
Mechanics
Hui Fan, Limei Xu
Article
Physics, Applied
L. M. Xu, H. Fan
JOURNAL OF APPLIED PHYSICS
(2018)
Article
Mathematics, Applied
X. Wang, W. T. Ang, H. Fan
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2020)
Article
Mechanics
Hui Fan, Jianmin Long
Article
Mechanics
Jianmin Long, Hui Fan
Summary: Utilizing Mindlin's Form II gradient elasticity theory, this study investigates the propagation of SH surface waves in a strain-gradient layered half-space. The derived dispersion equation involves 10 material constants and can degenerate to special cases by dropping certain parameters. The effects of strain-gradient elastic constants on the dispersion curves are explored, revealing richer features of SH surface waves in strain-gradient elastic materials compared to classical elastic materials.
Article
Mechanics
Hui Fan, Jianmin Long
Summary: In this study, we investigated the propagation of SH surface wave in a coated half-space with imperfect interfaces. We established a combined interface model by constructing a combination of a spring layer and a thin membrane between the surface layer and the half-space. We demonstrated the new findings by drawing dispersion curves of the SH surface waves with the newly established interface models and discussing their dispersion features. This study completes the understanding of the influence of imperfect interfaces on the SH surface waves propagating in coated half-spaces.
MECHANICS RESEARCH COMMUNICATIONS
(2022)
Article
Engineering, Multidisciplinary
Yu Chang, Jianguo Ding, Hui Fan, Yuanyuan Ding, Hanjing Lu, Yiheng Chen, Adeel Shehzad, Hui Zhuang, Peng Chen
Summary: A hybrid method combining fractal theory with the finite element method (FT-FEM) is proposed to study the contact characteristics of bolted joints. Experimental validation shows that this method can accurately reveal the contact mechanisms at micro and macro scales and overcome difficulties in reflecting detailed contact characteristics in the overall dynamic model. The results also demonstrate that adjusting the bolt arrangement according to the working condition can effectively enhance bolted joints.
PRECISION ENGINEERING-JOURNAL OF THE INTERNATIONAL SOCIETIES FOR PRECISION ENGINEERING AND NANOTECHNOLOGY
(2022)
Article
Mechanics
Jianmin Long, Hui Fan
Summary: This paper investigates the influence of stiffness and microstructures on the propagation of elastic waves at interfaces. The mechanical behavior of the interface is described using the surface elasticity theory and the strain-gradient thin membrane model. The effects of interfacial material constants on the reflection and refraction of SH waves are demonstrated.
Article
Engineering, Civil
Songliang Zhang, Jia Lou, Hui Fan, Jianke Du
Summary: A new nonlinear acoustic metamaterial beam is designed and analyzed in this paper. The system consists of a homogeneous beam with periodic resonant units attached on the top surface. An analytical model is developed to evaluate the amplitude-frequency response, dispersion, and band gaps of the flexural wave. The effects of linear and nonlinear stiffness and resonator arrangement on the frequency band structure are discussed. The numerical results validate the developed analytical model and demonstrate the enhanced tunability of the band gap due to system nonlinearity.
ENGINEERING STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
Xue Wang, Whye-Teong Ang, Hui Fan
APPLIED MATHEMATICAL MODELLING
(2017)
Article
Materials Science, Multidisciplinary
Limei Xu, Hui Fan, Yufeng Zhou
ACTA MECHANICA SOLIDA SINICA
(2017)
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)