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Accelerating SPH-Fatigue Computation by Using Single Precision Program on GPU Int. J. Comput. Methods (IF 1.7) Pub Date : 2024-03-05 Koki Tazoe, Tomonori Yamada, Genki Yagawa
The fatigue crack propagation analysis based on the SPH framework “SPH-Fatigue” is accelerated by using the single precision program on GPU. It is found that the single precision program slightly disorders the stress wave but doubles the computational speed. In addition, the computational results of the fatigue crack propagation by the single precision program show almost the same crack shapes as the
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Artificial Intelligence-Based Damage Identification Method Using Principal Component Analysis with Spatial and Multi-Scale Temporal Windows Int. J. Comput. Methods (IF 1.7) Pub Date : 2024-02-29 Ge Zhang, Hui Sun, Zejia Liu, Licheng Zhou, Gongfa Chen, Liqun Tang, Fangsen Cui
Previous studies have demonstrated the superior damage identification performance of the double-window principal component analysis (DWPCA) method over traditional PCA methods and other traditional techniques, such as wavelet and regression analysis. DWPCA uses temporal windows to discriminate structural states and spatial windows to exclude damage-insensitive responses, making it more effective for
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A Boundary Node Method for Solving Interior and Exterior Acoustic Problems Int. J. Comput. Methods (IF 1.7) Pub Date : 2024-02-27 Mohammed Afzal Rafiq, I. R. Praveen Krishna, C. O. Arun
The Boundary Node Method (BNM) is a meshfree scheme for solving Boundary Integral Equations (BIE). BNM simplifies the problem at two levels. Primarily, as BNM aims to solve the integral form of the governing equation, is reduced dimensionality of the problem by one order. Additionally, the mesh-free scheme eliminates the need for meshing, proving particularly beneficial for problems involving complex
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A Novel Shrink–Expand–Shrink Method for Modeling Composites with Ultrahigh Volume Fractions of Pre-Graded and Gradient-Distributed Particles Int. J. Comput. Methods (IF 1.7) Pub Date : 2024-02-27 Ruiqing Xue, Peiyao Sheng, Zhong Ji
An advanced shrink–expand–shrink method is proposed in this paper for efficiently modeling concrete-like particle-reinforced composites with ultrahigh volume fraction of aggregates. The gradation of the aggregates can be pre-given and the aggregate spatial distribution can be nonuniform. By this method, the shrunk aggregates are first generated in the model space, and then expanded to jostle each other
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An Adaptive PML Finite Volume Algorithm for the Scattering by Periodic Gratings Int. J. Comput. Methods (IF 1.7) Pub Date : 2024-02-24 Zhoufeng Wang, Yao Cheng
In this paper, we studied the finite volume formulations for solving the diffraction grating problem that is truncated by the perfectly matched layer (PML) technique. Based on a reliable the a-posteriori error estimate, an adaptive PML finite volume method is discussed for the numerical approximation of the diffraction grating problem. The PML parameters are obtained numerically by sharp a-posteriori
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New Numerical Iteration Schemes Based on Perturbation Iteration Algorithms Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-12-29 Mehmet Pakdemirli
Perturbation–Iteration algorithms (PIA) have been developed recently to solve differential equations analytically. A continuous solution in terms of closed form functions as an approximation of the original equation can be found using the method. The method has been implemented to algebraic equations, ordinary and partial differential equations successfully. Based on the formalism developed previously
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Toward Development of a Plate Discrete Element Method: Geometry and Kinematics Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-12-21 Jian Chen, Dominik Krengel, Hans-Georg Matuttis
Shapes of constituent particles have a prominent effect on the macroscopic responses of granular assemblies. Clayey minerals often possess a plate-shaped geometry with a large surface-to-volume ratio. It is difficult to model such a geometry with spheres or clusters of spheres in a conventional discrete element method (DEM). In this study, we present a new DEM for plate-shaped particles with a focus
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Identification of Vivo Material Parameters of Arterial Wall Based on Improved Niching Genetic Algorithm and Neural Networks Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-12-15 Luming Zhao, Jianbing Sang, Lifang Sun, Fengtao Li, Huaxin Xiang
Cardiovascular diseases are seriously threatening human health and the incidence rate is high. Many scholars are devoted to studying arterial mechanical properties and material parameters. In this study, the bovine artery was selected as the experimental object and the uniaxial tensile test was carried out by cutting the specimens along its axial, circumferential and 45∘ directions. The finite element
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A New Approximation Method for Multi-Pantograph Type Delay Differential Equations Using Boubaker Polynomials Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-12-14 Şuayip Yüzbaşı, Beyza Çetin
In this paper, a new approaching technique is offered to unravel multi-pantograph-type delay differential equations. The suggested new method is a collocation method based on integration and Boubaker polynomials. As the main idea of the method, the process starts by approaching the first derivative function in the equation in the form of truncated Boubaker series. Then this approximating form is composed
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A Smoothed Point Interpolation Method for the Timoshenko Beam Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-12-14 Felipe Pereira dos Santos, Enzo Marino, Lapo Gori
This paper aims to extend the meshless smoothed point interpolation methods (SPIMs) to the analysis of the Timoshenko beam problem. These methods are based on the concepts of smoothing domains and weakened-weak (W2) form; their use is made possible by the extension of the weakened-weak form that they are based on to the case of the Timoshenko beam. The provided numerical simulations emphasize that
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An ANN-BCMO Approach for Material Distribution Optimization of Bi-Directional Functionally Graded Nanocomposite Plates with Geometrically Nonlinear Behaviors Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-12-07 Paowpat Pensupa, Toan Minh Le, Jaroon Rungamornrat
This study commences with the application of an efficient artificial neural network (ANN)-balancing composite motion optimization (BCMO) approach for finding the optimal material distribution of bi-directional functional graded nanocomposite (FGN) thin plates considering geometrically nonlinear behaviors. To this regard, an ANN-based surrogate model of the high-fidelity isogeometric analysis (IGA)
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Geometrically Nonlinear Analysis of Beam-Reinforced Thin Plates Using the Methodology of Groebner Bases Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-12-02 Y. Jane Liu, John Peddieson, Stephen Idem
This paper illustrates the utility of the methodology of Groebner bases computations combined with the energy method in the analysis of geometric nonlinear beam-reinforced thin rectangular isotropic plates (BRP) for modeling rectangular duct system deflections under internal positive pressure. The governing integro-partial differential equation is derived based on Kirchhoff/von Karman plate theory
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Modal Analysis of a High-Speed Train Gearbox Housing Using Smoothed Finite Element Method Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-12-02 Chen Jiang, Franklin C. Eze, Guo Zhou, Haruna Adamu, Ekene P. Odibelu
The gearbox is a crucial component of the power transmission system in high-speed trains, and realistically calculating its natural frequency is vital in avoiding system resonance. In recent decades, numerical techniques have become essential in designing engineering structures, and the finite element method (FEM) has gained widespread recognition and acceptance for its robustness and effectiveness
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Numerical Investigation with Convergence and Stability Analyses of Integro-Differential Equations of Second Kind Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-11-29 Saif Ullah, Faiza Amin, Muzaher Ali
In this paper, integro-differential equations are solved by using an efficient numerical technique, namely, Multistage Optimal Homotopy Asymptotic method. The existence and uniqueness of solutions are established by the application of Lipschitz condition. Convergence of approximate solutions along with stability are also carried out. Some examples are solved to highlight the vital characteristics of
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Uniformly Convergent Numerical Approximation for Parabolic Singularly Perturbed Delay Problems with Turning Points Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-11-24 Amit Sharma, Pratima Rai, Swati Yadav
We construct and analyze a second-order parameter uniform numerical method for parabolic singularly perturbed space-delay problems with interior turning point. The considered problem’s solution possesses an interior layer in addition to twin boundary layers due to the presence of delay. Some theoretical estimates on derivatives of the analytical solution, which are useful for conducting the error analysis
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Combining a Central Scheme with the Subtraction Method for Shallow Water Equations Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-11-24 Rony Touma, Elissa Malaeb, Christian Klingenberg
We present a new numerical scheme that is a well-balanced and second-order accurate for systems of shallow water equations (SWEs) with variable bathymetry. We extend in this paper the subtraction method (resulting in well-balancing) to the case of unstaggered central finite volume methods that computes the numerical solution on a single grid. In addition, the proposed scheme avoids solving Riemann
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Dispersion-Preserving Implicit–Explicit Numerical Methods for Reactive Flow Models Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-11-18 Emmanuel A. Amikiya, Mapundi K. Banda
Chemical reactions occur everywhere in both natural and artificial systems. Some of the reactions occur during the flow of a fluid (such a process is referred to as a reactive flow). Given the hazardous nature of some reactive flows, computer simulations (rather than physical experiments) are necessary for ascertaining or enhancing our understanding of such systems. The process of simulation involves
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Buckling of Stiffened Heterogeneous Shells Taking into Account Material Creep Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-11-18 Aleksandr N. Panin, Alexey A. Semenov, Vladimir V. Karpov
The authors propose a mathematical model of shell structures taking into account the linear theory of hereditary material creep. This model is based on the total potential strain energy functional. Shells are reinforced with stiffeners, and the contact between the stiffener and the shell skin along a strip is taken into account. The Ritz method is applied to the functional, and a system of algebraic
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Adaptive IQ and IMQ-RBFs for Solving Initial Value Problems: Adams–Bashforth and Adams–Moulton Methods Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-11-10 Samala Rathan, Deepit Shah, T. Hemanth Kumar, K. Sandeep Charan
In this paper, our objective is primarily to use adaptive inverse-quadratic (IQ) and inverse-multi-quadratic (IMQ) radial basis function (RBF) interpolation techniques to develop third and fourth-order methods such as Adams–Bashforth (AB) and Adams–Moulton (AM) methods. By utilizing a free parameter involved in the RBF, the local convergence of the numerical solution is enhanced by making the local
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Nonlinear Soil Behavior Model in Localized Lagrange Multipliers Mixed Formulation (u,p) for Dynamical Analysis of Wind Turbine Coupled Systems Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-10-19 Francisco Ilson da Silva Junior, Onézimo Carlos Viana Cardoso
Coupled mechanical systems can be complex, especially if there are many systems connected together and nonlinearities are present. Soil-structure interaction refers to the interaction between a structure and the soil or foundation upon which it is built. This interaction is important because it can affect the behavior of the structure, particularly during earthquakes or other dynamic events. For the
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A Splitting Nearly-Analytic Symplectic Partitioned Runge–Kutta Method for Solving 2D Elastic Wave Equations Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-10-05 Nam Yun, Chol Sim, JuWon Kim
In this paper, we present a new splitting nearly-analytic symplectic partitioned Runge–Kutta (SNSPRK) method for the two-dimensional (2D) elastic wave equations. It is an extension to elastic wave equation of our recent work on the locally one-dimensional nearly-analytic symplectic partitioned Runge–Kutta (LOD-NSPRK) method for the 2D acoustic wave equations. The method is based on the spatial differential
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Circle-Inspired Sine Cosine Optimization-Enabled CRF-RNN and ZFNet for Brain Tumor Segmentation and Classification Using MRI Images Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-10-04 Sakthi Ulaganathan, Thomas M. Chen, Mithileysh Sathiyanarayanan
The segmentation and classification of brain tumor are a attractive regions, which distinguish tumor as well as nontumor cells for identifying a level of tumor. Segmentation and classification from MRI images is a great challenge due to their altering image sizes and vast databases. Various schemes are designed for the segmentation and classification of the brain tumor, but these methods failed to
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Robust Nonconvex Sparse Optimization for Impact Force Identification Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-09-29 Junjiang Liu, Baijie Qiao, Yanan Wang, Weifeng He, Xuefeng Chen
The inherent sparse structure of impact forces has garnered considerable attention in the field of impact force identification. However, conventional convex sparse regularization methods, including the widely used ℓ1 regularization, often encounter challenges such as underestimation of impact amplitudes and biased estimations. To address these limitations, we propose a robust nonconvex sparse regularization
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The Weighted Least-Squares Collocation Method for Elastic Wave Obstacle Scattering Problems Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-09-26 Jing Zhang, Siqing Li, Junhong Yue, Yu Wang
Scattering problems have wide applications in the medical and military fields. In this paper, the weighted least-squares (WLS) collocation method based on radial basis functions (RBFs) is developed to solve elastic wave scattering problems, which are governed by the Navier equation and the Helmholtz equations with coupled boundary conditions. The perfectly matched layer (PML) technique is used to truncate
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Accelerated Relaxation Two-Sweep Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-09-26 Zhengge Huang, Jingjing Cui
In this paper, by applying the accelerated technique and relaxation two-sweep strategy to the modulus-based matrix splitting iteration method, we establish the accelerated relaxation two-sweep modulus-based matrix splitting method. The proposed method contains the accelerated modulus-based matrix splitting and the generalized accelerated modulus-based matrix splitting methods presented recently as
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Adaptive Quadrature of Trimmed Finite Elements and Cells Based on Bezier Approximation Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-08-31 Seyed Farhad Hosseini, Mahan Gorji, Wadhah Garhuom, Alexander Düster
In this paper, a new boundary-conforming adaptive method for the numerical integration of trimmed elements is presented. The locations and weights of new integration points are determined based on special mapping formulations. The prerequisite of this technique is to describe the trimming curves/surfaces by parametric Bezier curves/surfaces within the parent element domain. The fitting error is under
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Non-Probabilistic Uncertainty and Correlation Propagation Analysis Methods Based on Multidimensional Parallelepiped Model Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-08-28 Hui Lü, Zhencong Li, Xiaoting Huang, Wen-Bin Shangguan
In engineering practice, the uncertainty and correlation may coexist in the input parameters, as well as in the output responses. To address such cases, several methods are developed for the non-probabilistic uncertainty and correlation propagation analysis in this study. In the proposed methods, the multidimensional parallelepiped model (MPM) is introduced to quantify the uncertainty and correlation
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Level Set and Optimal Control for the Inverse Inclusion Reconstruction in Electrical Impedance Tomography Modeling Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-08-17 Abderrahim Charkaoui, Youness El Yazidi
In this paper, we address the identification of an unknown inclusion in an elliptic equation, which arises in the context of electrical impedance tomography and multiphase problems. We present a novel approach by formulating the overdetermined system as an optimal design problem based on the unknown inclusion and two state solutions, which is derived from by introducing a least square functional. We
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Effect of Initial Stress and Impedance Boundary in Transversely Isotropic Materials Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-08-17 R. Lianngenga, J. Lalvohbika
This paper aimed at studying the effect of initial stress and impedance boundary surface on the elastic waves propagation in transversely isotropic materials. The governing equations of transversely isotropic materials with initial stress are treated in the xy-plane to obtain the phase velocities of two waves, quasi-longitudinal (qP) and quasi-transverse (qS) waves. The normal mode operation is employed
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Extended High Convergence Compositions for Solving Nonlinear Equations in Banach Space Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-08-08 Ramandeep Behl, Ioannis K. Argyros
The local as well as the semi-local convergence analysis is provided for two compositions for solving Banach space valued operator nonlinear equations. These compositions are defined on the real line. They were shown to be efficient and of convergence order six. But, the convergence in the local convergence case utilized assumptions reaching the seventh derivative not on the composition. Moreover,
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Bivariate Fractal Interpolation Functions on Triangular Domain for Numerical Integration and Approximation Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-07-29 M. P. Aparna, P. Paramanathan
The primary objectives of this paper are to present the construction of bivariate fractal interpolation functions over triangular interpolating domain using the concept of vertex coloring and to propose a double integration formula for the constructed interpolation functions. Unlike the conventional constructions, each vertex in the partition of the triangular region has been assigned a color such
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A Parameter-Robust Numerical Method Based on Defect-Correction Technique for Parabolic Singular Perturbation Problems with Discontinuous Convection Coefficient and Source Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-07-27 Monika Choudhary, Aditya Kaushik, Manju Sharma
The paper presents a uniformly convergent finite difference method based on the defect correction technique to solve parabolic singular perturbation problems with discontinuous convection coefficient and source. The solution to the problem exhibits interior layer across the discontinuity and demonstrates turning point behavior. The simultaneous presence of perturbation parameters and discontinuity
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An Efficient Finite Element Method and Error Analysis Based on Dimension Reduction Scheme for the Fourth-Order Elliptic Eigenvalue Problems in a Circular Domain Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-07-25 Caiqun Wang, Ting Tan, Jing An
In this paper, we propose an effective finite element method for the fourth order elliptic eigenvalue problems in a circular domain. First, by using polar coordinates transformation and the orthogonal property of Fourier basis functions, the original problem is turned into a series of equivalent one-dimensional eigenvalue problems. Second, according to the properties of Laplace operator in polar coordinate
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Local Galerkin Method Based on the Moving Least Squares Approximation for Solving Delay Integral Equations Arisen from an Air Pollution Model Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-07-19 Alireza Hosseinian, Pouria Assari, Mehdi Dehghan
Mathematical models for measuring pollutants, by predicting the amount of air quality elements, play an important role to protect the human health. As one of these models, delay Volterra integral equations are applied to simulate a network of sensors with past memory to evaluate the emissions of pollutants in the air. This paper presents a computational method to solve these types of delay integral
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A Moving Kriging Interpolation Meshless for Bending and Free Vibration Analysis of the Stiffened FGM Plates in Thermal Environment Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-07-11 L. X. Peng, S. Y. Chen, W. Chen, X. C. He
This paper adopts the Moving Kriging (MK) interpolation meshless method to analyze the static and dynamic behaviors of stiffened functionally graded material (FGM) plate in thermal environment based on the physical neutral surface. The ribbed FGM plate is regarded as a composite structure of a FGM plate and ribs. The displacement transformation relationship between stiffeners and FGM plates is obtained
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Modified Boundary Knot Method for Multi-Dimensional Harmonic-Type Equations Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-06-13 Le Liu, Min lei, Jun Hong Yue, Rui Ping Niu
This paper presents the modified boundary knot method (MBKM) for solving the homogeneous harmonic type boundary value problems (BVPs). Since no non-singular general solutions are applicable for harmonic-type equations, the general solutions of Helmholtz-type operator with a free parameter λ can be used to approximate the solutions of these problems by adjusting the λ. Compared with the classical boundary
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A Tenth-Order Sixth-Derivative Block Method for Directly Solving Fifth-Order Initial Value Problems Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-06-13 Higinio Ramos, Adelegan Lukuman Momoh
This work proposes a hybrid block numerical method of tenth order for the direct solution of fifth-order initial value problems. The formulas that constitute the block method are derived from a continuous approximation obtained through interpolation and collocation techniques. In order to obtain better accuracy, sixth-order derivatives are incorporated to develop the formulas. The main characteristics
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An Improved Radial Basis Function Neuron Network Based on the l1 Regularization Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-06-08 Yunling Kang, Manxi Liu, Guoqiao You, Guidong Liu
The radial basis function neural network (RBFNN) is a widely used tool for interpolation and prediction problems. In this paper, we propose to improve the traditional RBFNN by automatically identifying core neurons in the hidden layer, based on the l1 regularization. Our proposed approach will greatly reduce the number of neurons required, which will save the memory and also the computational cost
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Stable Computational Techniques for the Advection–Dispersion Variable Order Model Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-06-08 Poonam Yadav, Aman Singh, Vineet Kumar Singh
In this paper, a novel approximation to the Caputo time fractional derivative of variable order (VO) ν(ξ,η) (0<ν(ξ,η)<1) is established. Since time fractional derivatives are integral, with a weakly singular kernel the discretization on the uniform mesh may not lead to satisfactory accuracy. So, numerical approximation is constructed on nonuniform meshes based on Newton interpolation polynomial. As
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An Introduction to Programming Physics-Informed Neural Network-Based Computational Solid Mechanics Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-06-08 Jinshuai Bai, Hyogu Jeong, C. P. Batuwatta-Gamage, Shusheng Xiao, Qingxia Wang, C. M. Rathnayaka, Laith Alzubaidi, Gui-Rong Liu, Yuantong Gu
Physics-informed neural network (PINN) has recently gained increasing interest in computational mechanics. This work extends the PINN to computational solid mechanics problems. Our focus will be on the investigation of various formulation and programming techniques, when governing equations of solid mechanics are implemented. Two prevailingly used physics-informed loss functions for PINN-based computational
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Interfacial Torsional Behavior of Pipe Joints with Hardening and Softening Bond-Slip Law Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-05-31 Hong Yuan, Jun Han, Huaqiang Lu, Ziyong Mo, Lan Zeng
For the purpose of a better understanding of the mechanical behavior of pipe joints’ interface which is critical for the integral performance of a pipe system, and excessive torsional loading that is typical for their interfacial failure, the interfacial behavior of adhesive bonded pipe joints under torsion loads is theoretically studied throughout the full-ranged failure process based on a local bond-slip
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Averaging Navier–Stokes Equations by a Dual Approach Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-05-27 T. H. Nguyen, D. A. Nguyen
The current three-dimensional averaging mathematical model of flow, also known as the Reynolds averaged Navier–Stokes equations or Reynolds equations, was developed based on the idea of Reynolds in 1895. This model is given by the classical averaging of velocity and pressure parameters from the three-dimensional Navier–Stokes equations. However, by doing this, these averaging parameters obtained by
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A Structural-Similarity Conditional GAN Method to Generate Real-Time Topology for Shell–Infill Structures Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-05-27 Yong Wu, Yingchun Bai, Zeling Lan, Shouwen Yao
Topology optimization (TO) can generate innovative conceptual configurations with shell–infill geometric features by distributing materials optimally within the design domain. However, physics-based topology optimization methods require repeated finite element analysis and variable updating, in which expensive computational cost limits their applications in wider industrial fields, especially for topology
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A Method on Estimates of Stress Intensity Factors of Outer Circle and Inner Ellipse Submarine Pipeline Under Bending Moment Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-05-27 Long Li, Yousheng Deng
The slender circle submarine pipeline possesses both shell and beam characteristics, which are widely used in practical engineering. Unfortunately, for some reason, there will be some geometric defects in the cross-section of the pipeline (such as machining errors and seawater corrosion, etc.), resulting in the stiffness of the circular submarine pipeline being different. The cracked variable stiffness
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An Improved Cell-Based Smoothed Discrete Shear Gap Method (CS-DSG3) for Static and Dynamic Analyses of Reissner–Mindlin Plates Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-05-27 Houbiao Ma, Yaoxiang Zeng, Yahui Zhang
The efficiency and accuracy of the cell-based smoothed discrete shear gap (CS-DSG3) are improved in simplifying the application process of the cell-based strain smoothing technique and redefining the stabilized parameter of Stenberg’s stabilization method, respectively. In the original CS-DSG3, both the smoothed bending strain and the smoothed shear strain are derived by the cell-based strain smoothing
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A Physics-Informed Recurrent Neural Network for Solving Time-Dependent Partial Differential Equations Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-05-26 Ying Liang, Ruiping Niu, Junhong Yue, Min lei
In this paper, a physics-informed recurrent neural network (PIRNN) is proposed to solve time-dependent partial differential equations (PDEs), which devices LSTM cells to ensure the continuity of field variables in time stepping. The number of the training parameters is sharply reduced due to the parameter sharing implemented in LSTM cells so that the efficiency of PIRNN greatly improves. In order to
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GPU Parallelization of Solving Pressure Poisson Equation in MPS Method Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-05-26 Zhe Sun, Zi-Kai Xu, Xi Zhang, Bi-Ye Yang, Gui-Yong Zhang, Zhi-Fan Zhang
In this paper, the explicit solving of pressure Poisson equation and GPU parallelization were employed to improve the efficiency of MPS method, which is one of the mainstream particle methods. The performance of the explicit GPU parallel MPS method is discussed using two-dimensional dam-break and sloshing problems. The reliability and accuracy of the developed algorithm were validated against the results
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The Least Squares Time Element Method Based on Wavelet Approximation for Structural Dynamic Load Identification Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-05-26 Cheng Lu, Liangcong Zhu, Jie Liu, Xianghua Meng, Kun Li
Dynamic load identification is a commonly used and quite important approach to obtain the excitation loads of structures in engineering practice. In this paper, a novel dynamic load identification method combining the least squares time element method (LSTEM), wavelet scaling function and regularization method is proposed, which performs a better accuracy and a stronger anti-noise ability. It decomposes
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FEM-SPH Coupling Approach for Impact Response Analysis of Composite Plates with Brick-and-Mortar Structure Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-05-27 Yihua Xiao, Wenbing Zou
Bioinspired nacre-like composites have attracted increasing research interests recently. They are typical composites with brick-and-mortar structure and usually employ a combination of hard material and soft material to achieve a good balance between stiffness and toughness. Impact response analysis of such composites is difficult due to their complex structure and interface. In this work, an effective
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Solving Nonlinear Elliptic PDEs in 2D and 3D Using Polyharmonic Splines and Low-Degree of Polynomials Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-05-26 Kalani Rubasinghe, Guangming Yao, Wen Li, Gantumur Tsogtgerel
In this paper, the improved localized method of approximated particular solutions (ILMAPS) using polyharmonic splines (PHS) together with a low-degree of polynomial basis is used to approximate solutions of various nonlinear elliptic Partial Differential Equations (PDEs). The method is completely meshfree, and it uses a radial basis function (RBF) that has no shape parameters. The discretization process
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Numerical Slow Growth Damage Assessment of an Adhesively Bonded Composite Joint Under Compression Through Four-Point Bending Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-05-15 Laurence Wong, M. D. Imran Kabir, John Wang, Y. X. Zhang, Richard Yang
In this study, an extended finite element method (XFEM)-based numerical analysis procedure is developed as part of a framework for assessing damage slow growth behaviors of an adhesively bonded composite joint. This CFRP-CFRP single strap joint is stabilized with an aluminium honeycomb subjected to static compression through four-point bending. The adhesively bonded patch has a 140mm overlap length
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A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for Two-Dimensional Nonlinear Time-Dependent Convection Diffusion Reaction Equation Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-05-10 Eric Ngondiep
This paper analyzes the stability and convergence rate of a six-level time-split Leap-frog/ Crank–Nicolson method in the approximate solutions of two-dimensional nonlinear time-dependent convection-diffusion-reaction equations subjects to appropriate initial and boundary conditions. The computational time of the proposed algorithm is greatly improved thanks to the form of the splitting. Under a suitable
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An Evaluation of Accuracy and Efficiency of a 3D Adaptive Mesh Refinement Method with Analytical Velocity Fields Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-04-28 Zhenquan Li, Rajnesh Lal
Appropriate mesh refinement plays a vital role in the accuracy and convergence of computational fluid dynamics solvers. This work is an extension of the previous work that further demonstrates the accuracy of the 3D adaptive mesh refinement method by comparing the accuracy measures between the ones derived from the analytical fields and those identified by the refined meshes. The adaptive mesh refinement
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An Element Decomposition Method for Three-Dimensional Solid Mechanics Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-04-28 Gang Wang, Zhonghu Wang, Yue Zhao
This paper proposes an element decomposition method (EDM) for elastic-static, free vibration and forced vibration analyses of three-dimensional solid mechanics. The problem domain is first discretized using eight-node hexahedral elements. Then, each hexahedron is further subdivided into a set of sub-tetrahedral cells, and the local strains in each sub-tetrahedron are obtained using linear interpolation
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Improved Meshless Finite Integration Method for Solving Time Fractional Diffusion Equations Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-04-17 Pengyuan Liu, Min Lei, Junhong Yue, Ruiping Niu
In this paper, a new method named Improved Finite Integration Method (IFIM) is proposed for solving Time Fractional Diffusion Equations (TFDEs). In the IFIM, the Extended Simpson’s Rule (ESR) is employed for numerical quadrature in spatial discretization. Besides, the Piecewise Quadratic Interpolation (PQI) in sense of the Hadamard finite-part integral is utilized for time discretization. Compared
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A Study on Affine Transformations and a Novel Universal Prediction Theory Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-04-17 G. R. Liu
Artificial neural networks (NNs) with various architectures are widely used for practical problems, including multilayer perceptron (MLP), the Convolutional Neural Networks (CNNs), Recurrent Neural Networks (RNNs), among others. The TrumpetNets and TubeNets were also recently proposed for creating two-way deepnets for both forward and inverse problems. All these studies have demonstrated the power
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Radial Basis Function-Based Differential Quadrature Approach to Study Reaction–Diffusion of Ca2+ in T Lymphocyte Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-04-11 Hemant Bhardwaj, Neeru Adlakha
T lymphocytes have a primary role in both health and disease. Extracellular and intracellular signals determine whether a T-cell activates different cells, divides, or begins apoptosis. The reaction–diffusion process of Ca2+ ions is critical for the initiation, sustenance, and termination of the immunological function of T cell. A nonlinear spatio-temporal dynamics of Ca2+ in T cells is modeled incorporating
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An SFEM Abaqus UEL for Nonlinear Analysis of Solids Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-04-11 Sandeep Kshirsagar, H. Nguyen-Xuan, G. R. Liu, Sundararajan Natarajan
In this paper, three different smoothed finite element method (SFEM), viz., node-based smoothed finite element method (NS-FEM), face-based smoothed finite element method (FS-FEM) and α-finite element method (α-FEM) are adopted for 3D solids undergoing large deformation. The common feature of all these techniques is the introduction of smoothed strain which is written as a weighted average of the compatible
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Finite Element Analysis Combined With Machine Learning to Simulate Open-Hole Strength and Impact Tests of Fibre-Reinforced Composites Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-04-08 Johannes Reiner
Data-driven calibration techniques, consisting of theory-guided feed-forward neural networks with long short-term memory, have previously been developed to find suitable input parameters for the finite element simulation of progressive damage in fibre-reinforced composites subjected to compact tension and compact compression tests. The results of these machine learning-assisted calibration approaches
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A Numerical Method to Study the Fiber Orientation and Distribution of Fiber-Reinforced Self-Compacting Concrete Int. J. Comput. Methods (IF 1.7) Pub Date : 2023-03-30 Xuemei Liu, Xiangyu Xie, Lihai Zhang, Nelson Lam
Steel fiber-reinforced self-compacting concrete (SCFRC) has been developed in recent decades to overcome the weak tensile performance of traditional concretes. As the flexural strength of SCFRC is dependent on the distribution of steel fibers, a numerical model based on Jeffery’s equation was developed in this study for investigating the effects of the concrete flow on the fiber orientation and distribution