Article
Mathematics, Applied
Mine Akbas, Abigail Bowers
Summary: This paper introduces an efficient numerical method for solving a Leray regularization model of incompressible, nonisothermal fluid flows using nonlinear filtering based on indicator functions. The proposed method is shown to have provable stability and convergence, and is compared with direct numerical simulation and the usual Leray-alpha model through a series of numerical tests.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Mathematics, Applied
Anna Sanfilippo, Ian Moore, Francesco Ballarin, Traian Iliescu
Summary: In this paper, a new ROM stabilization strategy called approximate deconvolution Leray ROM (ADL-ROM) is proposed, which introduces AD to increase the accuracy of the classical Leray ROM (L-ROM) without compromising its numerical stability. Two new AD ROM strategies, namely the Tikhonov and van Cittert methods, are also introduced. Numerical investigations demonstrate that the new ADL-ROM is more accurate than the standard L-ROM when the filter radius is relatively large, and it is less sensitive to model parameters than L-ROM.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2023)
Article
Computer Science, Interdisciplinary Applications
Seung Lee Kwon, Seongik Kim, Dongwon Ha, Gun Jin Yun
Summary: This paper presents a method called NTS-AR (node-to-segment with area regularization) for analyzing three-dimensional dynamic frictional contact bodies under large deformation and plastic material behavior. The method considers the 3D geometric structure of the slave surface and frictional constraint in a convected coordinate system. It compensates the area and applies a proper penalty parameter for each slave node, improving the accuracy compared to the original NTS method.
ENGINEERING WITH COMPUTERS
(2023)
Article
Multidisciplinary Sciences
Dan Ye, Zhe Xu, Yangqing Liu
Summary: This research proposes a structural damage identification (SDI) method based on a response surface method (RSM) and an imperialist competitive algorithm (ICA) to efficiently and accurately detect initial structural damage. By using experimental design and establishing a response surface surrogate model, the method achieves damage positioning and quantification, and is applied to the identification of high-dimensional damaged beam models. The results show that the proposed method can accurately identify damage location and extent compared to traditional algorithms.
SCIENTIFIC REPORTS
(2022)
Article
Computer Science, Artificial Intelligence
Jiaojiao Yang, Andong Qiu, Zhouwang Yang
Summary: As a widely used unsupervised learning method, clustering model plays an important role in exploring data structures. Spectral analysis is a useful technique for solving clustering problems. However, existing methods have limitations. In this paper, a new fuzzy clustering model is proposed, which reconstructs the Laplacian matrix using geometrically-nearest-neighbor similarity measurement and utilizes an algorithm based on the Alternating Direction Method of Multipliers (ADMM) for optimization.
APPLIED SOFT COMPUTING
(2023)
Article
Engineering, Marine
Xiaohua Bao, Shidong Wu, Zhipeng Liu, Dong Su, Xiangsheng Chen
Summary: An interface contact model is proposed to study the nonlinear behavior of soil-pile interactions during soil liquefaction in earthquakes. The model considers the separation between the soil and the pile using joint elements that exhibit different deformation characteristics in the elastic and plastic stages. A fully coupled 3-D soil-water dynamic finite element-finite difference analysis is performed, considering different ground motions. The results show that the soil-pile interface significantly affects the pile response, especially in strong ground motions. Additionally, considering the volume effect of the pile is necessary for both small and strong ground motions. The potential soil-pile separation is crucial for understanding the interaction mechanism and quantifying the pile response in earthquakes.
Article
Geochemistry & Geophysics
Dan Jin, Baoli Wang, Xuqian Dou, Shuwei Wang, Min Zhi
Summary: Sparse constraint-based deconvolution can overcome the limitation of the effective frequency band of seismic data and enable higher resolution data acquisition. However, selecting the appropriate threshold remains a challenge. Adapting the sparse regularization of the reflection coefficient gradient improves the computational efficiency, accuracy, and adaptability of the method.
IEEE GEOSCIENCE AND REMOTE SENSING LETTERS
(2022)
Article
Engineering, Multidisciplinary
Nasser Firouzi, Krzysztof Kamil Zur, Marco Amabili, Timon Rabczuk
Summary: This work formulates the problem of finite generalized and viscoelastic deformation of thin membranes with different geometries made of incompressible hyperelastic materials. Nonlinear evolution equations for the internal variables of the models are obtained by decomposing the deformation gradient tensor into elastic and viscous parts and using dissipation inequality. A nonlinear finite element formulation based on isoparametric elements is developed to solve the highly nonlinear governing differential equations. The proposed formulation accurately predicts the experimental results of viscoelastic membranes for both in-plane and out-of-plane deformations.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Marine
Zhanyang Chen, Hongbin Gui, Xiyu Liao, Mengchao Du
Summary: This study introduces a three-dimensional nonlinear hydroelastic theory and conducts numerical simulations on the dynamic response of a flexible hull, comparing different methods and discussing their reasonable applicable conditions for structural design.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2021)
Article
Electrochemistry
Anis Allagui, Ahmed S. Elwakil
Summary: The capacitance of capacitive energy storage devices cannot be directly measured, but can be estimated from the input and output signals expressed in the time or frequency domains. In this study, Tikhonov's regularization method is used to solve this problem by adding damping to each SVD component, effectively filtering out components corresponding to small singular values and obtaining a stable solution.
ELECTROCHIMICA ACTA
(2023)
Article
Engineering, Multidisciplinary
Zhifu Cao, Qingguo Fei, Dong Jiang, Rakesh K. Kapania, Shaoqing Wu, Hui Jin
Summary: This paper presents a novel non-intrusive sensitivity-based nonlinear finite element model updating method, which estimates nonlinear parameters through sensitivity analysis and optimization algorithm. The proposed method is effective in updating the model even in the presence of contaminated measurement data and different initial parameters.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Mathematics, Applied
Guofang Chen, Junliang Lv, Xinye Zhang
Summary: This paper solves a second-order nonlinear elliptic equation using the finite volume element method and provides rigorous error estimates. The computational domain is divided into convex quadrilateral meshes. The isoparametric bilinear element space is chosen as the trial function space and the piecewise constant function space is chosen as the test function space. The boundedness and coercivity of the bilinear form are proved on the h(2)-parallelogram mesh, and the existence and uniqueness of the numerical solution are established using the Brouwer fixed point theorem. The paper also derives estimates for parallel to(del(u-u(h))parallel to and parallel to u-u(h)parallel to(0) under certain regularity assumptions. Numerical experiments on quadrilateral meshes are conducted to calculate the convergence orders in H-1 and L-2 norms, which align with the theoretical results.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Engineering, Civil
Douglas Quintanilha Tsunematsu, Mauricio Vicente Donadon, Vitor Luiz Reis
Summary: This work introduces an efficient explicit finite element model for predicting the nonlinear aeroelastic behavior of composite panels in the supersonic regime. By utilizing the first-order shear deformation plate theory, von Karman nonlinear strains, and linear piston theory, the model achieves accuracy and cost reduction through lumping procedures. The model is validated with literature results and demonstrates significant reduction in computational cost.
THIN-WALLED STRUCTURES
(2021)
Article
Engineering, Civil
Haoran Ji, Dongxu Li
Summary: This paper proposes a new nonlinear finite element method based on continuum mechanics, which can be applied to structural analysis of modern spacecraft with accuracy and universality. Simulations confirm that this method can effectively solve structural motion under large deformation scenarios.
THIN-WALLED STRUCTURES
(2021)
Article
Mathematics, Applied
Malena Espanol, Mirjeta Pasha
Summary: The paper proposes a modified VarPro method for solving separable nonlinear least squares problems with general-form Tikhonov regularization. The Gauss-Newton method is applied to the reduced problem with different approximations of the Jacobian matrix, and convergence is investigated. Efficient ways to compute the Jacobians and the solution of the linear subproblems are provided. For large-scale problems, projection-based iterative methods and generalized Krylov subspace methods are used, and the regularization parameter is computed automatically using generalized cross validation. Numerical examples demonstrate the performance of the proposed approach in image reconstruction and forward operator reconstruction, including large-scale two-dimensional imaging problems arising from semi-blind deblurring.
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)