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A multiscale and multiphysical numerical approach for sandwich multiphase hybrid fiber plates with smart composite facesheets Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-02-01 Duy-Khuong Ly, Huy-Cuong Vu-Do, Chanachai Thongchom, T. Nguyen-Thoi
This study introduces a comprehensive multiscale and multiphysical numerical approach for analyzing sandwich three-phase nanocomposite plate with multiferroic facesheets in its upper and lower surfaces. The proposed research investigates the zigzag effect and quasi-3D sinusoidal shear deformation, capturing the complex interactions between the core and multiferroic facesheets across multiple physical
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A time-domain BEM for instantaneous interaction by two ships head-on encountering in incident waves Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-02-01 Xiao Zhang, Yong Cheng, Saishuai Dai, Mingxin Li, Zhiming Yuan, Atilla Incecik
Multi-ship encountering results in complex interactions that significantly modify the surrounding flow field, particularly in the presence of incident waves. Due to the disturbing effect of the complex wave system, the behavior of each ship during the encounter is influenced by the wave characteristics and the relative motions between the ships. This paper establishes a model for ship-to-ship encountering
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The improved interpolating element-free Galerkin method based on nonsingular weight functions for three-dimensional elastoplastic problems Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-30 Y.F. Wang, Y. Lu, L. Chen, M.J. Peng, Y.M. Cheng
Because of the nonlinearity, three-dimensional (3D) elastoplastic problems are very important for any numerical method. In this study, the improved interpolating element-free Galerkin (IIEFG) method based on nonsingular weight functions for elastoplastic problems is presented. An improved interpolating moving least-squares (IIMLS) method with nonsingular weight functions is applied to construct the
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A stable numerical investigation based on geometric greedy points for 2D time-fractional partial integro-differential equations with singular kernels Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-30 Mojtaba Fardi, Banafsheh Raeisi, Mohammadreza Ahmadi Darani
This paper develops a stable numerical method based on RBFs to solve two-dimensional time-fractional partial integro-differential equations with singular kernels. The spatial discretization uses an RBF-generated Hermite finite difference approach, which applies a geometric greedy sparse approximation technique for node selection, ensuring accuracy and controlling consistency errors. The temporal direction
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A fast bond-based peridynamic program based on GPU parallel computing Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-29 Yang Yang, Zixin Su, Yijun Liu
Peridynamic is an effective method for addressing fracture problems. However, the non-local theory makes it time-consuming. Although some techniques have been developed to improve computational efficiency, the acceleration effect remains relatively limited. This paper introduces a parallel algorithm for bond-based peridynamic using the GPU parallel CUDA programming technology. The calculation process
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Isogeometric methods for thermal analysis with spatially varying thermal conductivity under general boundary and other constraints Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-28 Zulfiqar Ali, Weiyin Ma
This paper presents some results on steady-state thermal analysis with variable thermal conductivity under general boundary conditions and other internal constraints using isogeometric methods. Non-Uniform Rational B-splines (NURBS) serve as basis functions for representing both the geometry of the physical domains and the solution. While both isogeometric collocation method and Galarkin formulation
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Electromagnetic scattering sensitivity analysis for perfectly conducting objects in TM polarization with isogeometric BEM Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-24 Leilei Chen, Chengmiao Liu, Haojie Lian, Wenxiang Gu
This study proposes a sensitivity analysis framework for Transverse Magnetic polarized electromagnetic scattering problems, with a focus on Perfectly Electric Conductors (PEC). To enable seamless integration of Computer-Aided Design and Computer-Aided Engineering, the isogeometric boundary element method based on the Galerkin scheme is employed. This method utilizes Non-Uniform Rational B-splines to
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A cell-based smoothed radial point interpolation method applied to lower bound limit analysis of thin plates Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-24 Shenshen Chen, Hao Dong, Xing Wei, Fengtao Liu
This paper proposes a novel numerical method based on the cell-based smoothed radial point interpolation method (CS-RPIM) combined with second-order cone programming to perform lower bound limit analysis of elastic-perfectly-plastic thin plates, using only deflection as nodal variable. The problem domain is initially discretized using a simple triangular background mesh, where each triangular cell
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Bi-material V-notch fracture analysis in functionally graded materials Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-23 C.Y. Fu, Y. Yang, P.H. Wen, J. Sladek, V. Sladek
The finite block method (FBM) in the Cartesian coordinate system is developed to deal with the problems of the bi-materials V-notches in functionally graded materials (FGM) under static and dynamic loads. The first partial differential matrix is established via Lagrange series. Higher-order derivatives can be deduced from the first order partial differential matrix directly. In order to obtain the
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Green’s function representation and numerical approximation of the two-dimensional stochastic Stokes equation Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-23 Jie Zhu, Yujun Zhu, Ju Ming, Xiaoming He
This paper investigates the two-dimensional unsteady Stokes equation with general additive noise. The primary contribution is the derivation of the relevant estimate of Green’s tensor, which provides a fundamental representation for the solution of this stochastic equation. We demonstrate the crucial role of Green’s function in understanding the stability and perturbation characteristics of the stochastic
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A new boundary integral method for investigating the roughness scaling law of heterogeneous interfacial fracture Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-22 Wei Du, Xiaohua Zhao, Wei Jiang, Yongcheng Guo, Jinping Fu, Zhen Wang
A new semi-analytical and semi-numerical approach is proposed to investigate the scaling law of in-plane roughness due to the fracture of a heterogeneous interface involving spatial correlation of disorders. The model is considered as a composite structure composed of two cantilever rectangular plates bonded with an interfacial layer. Based on the theory of solid mechanics, the dynamic process of interfacial
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Seismic response analysis of marine undulating sites based on indirect boundary element method Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-22 Zhong-Xian Liu, Xiang Liu, Tian-Chun Ai, Jia-Wei Zhao, Lei Huang
The seafloor is mostly made up of soft silt, and seismic waves collide with particles before scattering during their propagation. Moreover, the ocean terrain includes basins, seamounts, islands and reefs, contributing to the intricate propagation of seismic waves in seawater. This study proposes a two-dimensional wave simulation algorithm for the marine seismic site effect based on the indirect boundary
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A fully cell-based immersed smoothed finite element method with the mean value coordinate projection using quadrilateral elements for fluid-structure interaction Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-22 Shuhao Huo, Hengzhi Wang, Zhipeng Li, Zhiqiang Li, Chen Jiang, Guirong Liu
In this work, an effective and stable immersed cell-based smoothed finite element method (ICS-FEM) together with mean value coordinate (MVC) projection using quadrilateral elements is presented for 2D fluid-structure interaction (FSI) problems. In an immersed-based algorithm, the entire system can be divided into three components: large-deformed nonlinear structure, incompressible viscous fluid, and
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Flexoelectricity in bimaterials via boundary element analysis Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-20 Arezoo Hajesfandiari
A boundary element formulation is developed based on consistent couple stress flexoelectricity. The formulation is used here to study the flexoelectric response of a two-dimensional isotropic bimaterial consisting of a flexoelectric dielectric thin film on a non-flexoelectric dielectric material. Flexoelectric phenomenon is a coupled problem of mechanical and electrostatic effects, each specified by
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Extension of three-dimensional discontinuous deformation analysis for solid block motions in predefined fluid field Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-18 Xinyan Peng, Xuanmei Fan, Pengcheng Yu, Guangqi Chen, Mingyao Xia, Yingbin Zhang, Xiao Cheng, Chao Liang
Solid–fluid numerical simulations involving open channels are usually complicated, especially for large solid displacements. An extended three–dimensional discontinuous deformation analysis (3D DDA) method incorporating depth-integrated two-dimensional fluid dynamics was proposed to evaluate solid movement considering fluid actions. In this method, two types of fluid forces on solid blocks, buoyancy
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Symplectic time-domain finite element method for solving dynamic impact and crack propagation problems in peridynamics Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-18 Yajing Gong, Yong Peng, Shuguang Gong
This paper proposes a novel algorithm, the symplectic time-domain finite element method (ST-FEM), for solving the equation of motion within the peridynamics (PD) framework, with a focus on dynamic impact problems and crack propagation prediction. An iterative scheme for the PD equation of motion is established using the time-domain finite element method (T-FEM), with symplectic conservation of the
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Modeling of rarefied gas flows in streamwise periodic channels: Application of coupled constitutive relations and the method of fundamental solutions Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-18 Ankit Farkya, Anirudh Singh Rana
Periodic structures are ubiquitous in nature and engineering, offering unique properties that inspire a range of applications. This paper explores the mathematical modeling of periodic structures in rarefied gas flows using the coupled constitutive relations (CCR) model. The method of fundamental solutions (MFS), known for its meshfree nature and computational efficiency, is utilized as a numerical
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Reduced-order prediction model for the Cahn–Hilliard equation based on deep learning Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-17 Zhixian Lv, Xin Song, Jiachen Feng, Qing Xia, Binhu Xia, Yibao Li
This study presents an end-to-end deep learning framework for nonlinear reduced-order modeling and prediction, combining Variational Autoencoders (VAE) for feature extraction and Long Short-Term Memory (LSTM) networks for temporal prediction. The framework simplifies the modeling process by integrating multiple steps into a unified architecture, improving both design and training efficiency. The VAE
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Isogeometric Reissner–Mindlin shell analysis for post-buckling of piezoelectric laminated shell panels Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-17 Tao Liu, Wenxiang Xu, Yuhang Wang, Shanshan Cai, Xiaolei Hu, Jiming Gu
Isogeometric analysis (IGA) employs NURBS basis functions as shape functions, possessing geometric accuracy, high precision and high-order continuity, thereby making it very suitable for analyzing complex curved surface structures. By taking advantage of these benefits, this paper presents a geometrically nonlinear electro-mechanical coupled IGA model for accurately predicting the post-buckling behavior
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Oblique wave interaction with a floating dock in the presence of inverted trapezoidal pile-rock breakwaters Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-17 M. Marshal Jins, K.G. Vijay, V. Venkateswarlu, H. Behera
This study evaluates the performance of a pair of inverted trapezoidal pile-rock breakwaters (PRB) placed at a finite distance from the floating dock and connected to a partially reflecting seawall under the oblique wave incidence. The PRB consists of pile shields to protect the rock core from the displacements due to incident wave stroke. The porous boundary conditions, such as continuity of pressure
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Numerical investigation of wave propagation across rock masses through a nodal-based 3D discontinuous deformation analysis method with contact potential Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-16 Yang Xia, Wenan Wu, Yuyong Jiao, Shanyong Wang
The 3D-NDDACP method (nodal-based 3D discontinuous deformation analysis method with contact potential) shows its capability to simulate discontinuous deformation of rock block systems. Due to the adoption of contact potential for contact treatment and Newmark method for time integration, 3D-NDDACP method inherits attractive advantages from both FEM-DEM and discontinuous deformation analysis (DDA) method
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Fatigue analysis of crack propagation in structures with bonded composite repairs Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-13 Lucas S. Moura, Andres F. Galvis, Andres F. Ramirez, Eder L. Abuquerque, Paulo Sollero
Recent growth in the aeronautical and oil industries has increased the demand for efficient repair techniques that offer shorter maintenance periods, greater durability, and reduced costs. Bonded composite repairs have emerged as an excellent solution, enabling the restoration of components without compromising structural integrity. By the first attempt, the coupling of the 3D boundary element method
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A deferred approach to include solid[formula omitted]liquid phase change effects in the solution of advection–conduction heat transfer problems via the improved element-free Galerkin method Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-13 Juan C. Álvarez-Hostos, Benjamín A. Tourn, Alfonso D. Bencomo, Mauricio Mascotto, Javier A. Zambrano-Carrillo, Alirio J. Sarache-Piña
In this communication, a novel strategy is presented for addressing advection–conduction problems with solid↔liquid phase change by using a modified implementation of the improved element-free Galerkin (IEFG) method. The approach involves a deferred inclusion of non-linear effects related to temperature-dependent material properties and the latent heat exchanged during phase change, incorporated within
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Application of defined auxiliary system in the method of layer potentials for solving the stokes flow problem Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-13 Kue-Hong Chen, Yi-Kui Liu, Jeng-Tzong Chen
In this article, we apply an error estimation technique to assess the numerical error of seven kinds of method of layer potentials for solving the Stokes flow problem governed by the biharmonic equation. The new error estimation technique allows us to estimate numerical errors in situations where analytical solutions are not available. Additionally, it enables us to determine the optimal solution for
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Deep-neural-network-based framework for the accelerating uncertainty quantification of a structural–acoustic fully coupled system in a shallow sea Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-11 Leilei Chen, Qingxiang Pei, Ziheng Fei, Zhongbin Zhou, Zhongming Hu
To systematically quantify certain uncertainties within the vibro-acoustic coupling problems, we propose a framework for sampling the acceleration and uncertainty quantification based on a Deep Neural Network (DNN). Coupling the Finite Element Method (FEM) and Boundary Element Method (BEM) with Catmull–Clark subdivision surfaces to generate samples for DNN training and testing. Constructing various
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The overload phenomenon in dynamic Brazilian disc: Insights from Voronoi-based discontinuous deformation analysis Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-09 Kaiyu Zhang, Feng Liu, Jun Zhu, Xuehua Zhao, Aiming Zhang, Yanbing Zhao, Zijun Hu
The tensile strength of rocks is a critical information in the design of operational blasting and support systems in rock engineering. However, it is important to note that in rock dynamic, the measured tensile strength in the BD test may be higher than the real value due to the overload effect. In this study, the overload effect and dynamic tensile strength correction are investigated by comparing
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A coupled boundary element-finite element solution for pile groups embedded in layered saturated soils under transient loadings Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-09 Zhi Yong Ai, Yi Xuan Zhang, Yong Zhi Zhao, Wei Tao Ji
Pile groups in saturated soils frequently encounter transient dynamic loads from earthquakes, waves, and winds. This study uses the coupled boundary element method-finite element method (BEM-FEM) to investigate the transient interaction between pile groups and layered saturated soils. The analytical layer element solution for the stratified saturated soils is used as the kernel function to establish
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Multi-patch IGA associated with Nitsche’s method for morphogenesis of complex free-form surface Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-09 Ziling Song, Tiantang Yu, Lin Wang, Tinh Quoc Bui
The analysis of complex multipatch structures has been solved with numerical tools, however, isogeometric shape optimization has not yet been applicable for designing free-form surface. Benefiting from the key concept of isogeometric analysis (IGA) for integration of design and analysis, a morphogenesis method is presented for shape optimization of complex free-form surfaces, especially built with
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Efficient surface reconstruction for SPH method and its application to simulation of solid-solid contact and fluid-rigid body interaction Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-06 Yihua Xiao, Duping Zhai, Dongdong Jiang, Jianli Shao
Explicit surface reconstruction is useful for treating challenging boundary-related problems in smoothed particle hydrodynamics (SPH), for example, high-accuracy contact treatment. In this work, an efficient local surface reconstruction method (LSRM) is proposed. It first identifies boundary layer particles and then employs the Delaunay triangulation technique to reconstruct explicit surfaces from
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An element mapping material point method for tracking interfaces in transient nonlinear heat conduction with sources Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-03 Peiwen Wu, Weidong Chen, Shengzhuo Lu, Jingxin Ma, Mingwu Sun, Bo Sun, Shibo Wu
The Generalized Interpolation Material Point method (GIMP), based on both material-point discretization and Eulerian space meshing, which is appropriate for nonlinear problems. However, it is difficult to identify physical boundaries and material interfaces, leading to numerical oscillations in the thermal analysis. Therefore, an Element Mapping Material Point method (EMMP) is proposed to handle with
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Integrating GA-BEM and polynomial fitting for efficient structural shape optimization Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-03 Alexandre Tachibana dos Santos, José Antonio Marques Carrer
This paper presents a novel simplified approach to achieving smooth boundaries on structural shape optimizations when combining Genetic Algorithms (GA) with the Boundary Element Method (BEM) by applying a simple polynomial fitting technique for boundary smoothing. The methodology focuses on the challenges of reducing material usage while maintaining constructability. The integration of polynomial fitting
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The radial point interpolation method and mixed-mode energy release rate criterion for crack growth in single lap joints Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-03 D.C. Gonçalves, L.D.C. Ramalho, R.D.S.G. Campilho, J. Belinha
Nowadays, adhesively bonded joints are widely used in high-end industries due to their valuable advantages over traditional joining techniques. Nevertheless, predicting the mechanical behaviour of adhesively bonded joints with accuracy and efficiency still represents a major challenge reducing structure weight, material usage, and computational cost. In this work, a fracture propagation algorithm based
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Third-order MFS for solving two-dimensional Stokes flow problems Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-01 Chein-Shan Liu, Chia-Ming Fan, Chung-Lun Kuo
When the two-dimensional (2D) Stokes equations are formulated as two-coupled third-order partial differential equations, we prove two types particular solutions and develop the corresponding meshless third-order method of fundamental solutions (MFS) to solve the Stokes flow problems. The second MFS with more comprehensive bases is more accurate than the first MFS. Some examples are examined to exhibit
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Linear energy-stable Runge–Kutta relaxation schemes for the Bi-flux diffusion model Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2025-01-01 Jiayue Xu, Cong Xie, Maosheng Jiang
This paper conducts an in-depth study of nonlinear Bi-flux diffusion models with one energy stable linear relaxation with regularized energy reformulation numerical scheme. This novel scheme combines the single diagonal implicit Runge–Kutta method (SDIRK) in temporal dimension and a meshless generalized finite difference method (GFDM) in spatial dimension. Thus in terms of spatial discretization high
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A new procedure for solving the transport of corrosion products in liquid lead bismuth eutectic loop Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-31 YaoDi Li, Mei Huang, Boxue Wang, Xiangyuan Meng, YanTing Cheng
This article presents an extension of the Half Boundary Method (HBM) for solving two-dimensional mass transfer problems in a lead-bismuth eutectic (LBE) loop. We propose a procedure that integrates the Finite Volume Method (FVM) with the HBM coupling algorithm to address flow and mass transfer issues. The FVM is used to solve the velocity field, while a small number of nodes are selected within the
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BIOEFGM II: Two-dimensional meshless model to simulate the aerobic and anaerobic biodegradation of BTEX contaminant through multiple electron acceptors in groundwater Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-31 Tinesh Pathania
In the present study, a meshless BIOEFGM II model is proposed to simulate the natural attenuation of BTEX contaminant (benzene, toluene, ethylbenzene, and xylenes) through multiple aerobic and anaerobic electron acceptors in the two-dimensional groundwater system. This model is the extension of the BIOEFGM I model for aerobic BTEX degradation. In BIOEFGM II, the meshless element-free Galerkin method
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A peridynamic method for creep and stress relaxation incorporating a novel fractional viscoelastic model Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-30 Guosheng Wang, Wenwen He, Dechun Lu, Zhiqiang Song, Xiuli Du
A fractional viscoelastic kernel function is proposed to describe the modulus evolution during the creep and stress relaxation behavior of quasi-brittle materials. A unified fractional viscoelastic model for creep and stress relaxation is further developed, which has the advantages of few parameters and high accuracy. The model can be degenerated into the basic viscoelastic models under different values
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Dual distance transformations for evaluating domain integrals in the boundary integral equation of transient heat conduction Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-30 Zhengxu Tan, Yunqiao Dong, Xingwang Bai
Accurate computation of domain integrals is indeed crucial for effective boundary element analysis of transient heat conduction problems. The progressive reduction of the time step can cause the time-dependent kernel within the integral to oscillate rapidly and exhibit near-singularity. Additionally, integration over the sub-triangular element with a large angle and large side length ratio will result
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Singularity treatments in transient confined seepage using numerical manifold method Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-30 Limei Zhang, Yueping Yin, Hong Zheng, Sainan Zhu, Nan Zhang
The numerical manifold method (NMM) is proposed for analysis of the two-dimensional transient confined seepage flow problems with singular corner points. To deal with the singularity of corner points, the asymptotic expansion of the solution in the vicinity of corner points is incorporated into the local approximations of the relevant physical patches of the NMM, while the constant local approximation
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Elastic fields for a heterogeneous geo-material medium under antisymmetric indentation of a circular rigid plate Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-30 Sha Xiao, Zhongqi Quentin Yue
This paper examines the contact problem of a heterogeneous geo-material medium indented by a circular rigid plate. The rigid plate is subjected to an applied moment about a horizontal axis. An n-layered half-space model is employed to analyze a heterogeneous geo-material half-space. The mathematical formulation of the n-layered half-space model is derived using classical integral transforms and a Fredholm
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Electromagnetic-thermal coupling simulation in high temperature superconducting bulk by peridynamic differential operator Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-30 Shouhong Shan, Huadong Yong, Youhe Zhou
The high temperature superconducting (HTS) bulk can operate in the liquid nitrogen temperature. A useful model describing superconductivity for engineering applications links electric field and current density, namely as E-J power law. Since the exponent of the E-J power law is usually set as 20∼50, the distribution of current density changes dramatically between the penetrated and unpenetrated regions
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A fast multipole boundary element method for acoustic problems in a non-uniform potential flow Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-30 Xueliang Liu, Haijun Wu
This paper presents a fast multipole boundary element method (FMBEM) for acoustic problems in a non-uniform potential flow. Different from the BEM for acoustic problems in a quiescent medium, the non-uniform flow field has a dramatic effect on the propagation of sound. In the developed algorithm, only the Mach number of the flow field at infinity needs to be given, and both the non-uniform flow field
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NL-SBFEM: A pure SBFEM formulation for geometrically and materially nonlinear problems Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-30 Seyed Sadjad Abedi-Shahri, Farzan Ghalichi, Iman Zoljanahi Oskui
In the context of numerical methods for solving partial differential equations, the research presented in this article introduces a pioneering Scaled Boundary Finite Element Method (SBFEM) formulation designed to tackle geometrically and materially nonlinear problems. The novel formulation, named NL-SBFEM, utilizes the deformation gradient and the first Piola–Kirchhoff stress, and is distinguished
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A novel RBF-DDM method for modelling transient droplet spreading in simple oil shear flow Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-28 Muhamad Dwi Septiyanto, Eko Prasetya Budiana, Syamsul Hadi
This current numerical model of droplet spreading in a simple oil shear flow is assessed using a hybrid combination of the radial basis function (RBF) and domain decomposition method (DDM). The complex interfacial interaction understanding of oil-water is challenging to consider appropriately with the RBF-DDM numerical solution. The governing equations, which consist of the Navier-Stokes equation in
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Nonlocal modelling of temperature-dependent electrochemical corrosion using peridynamic operator method Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-28 Dewei He, Zhiyuan Li, Dan Huang, Ding Chen, Xuehao Yao
A nonlocal nonlinear temperature-dependent electrochemical corrosion model is proposed in this paper. The corrosion process is described by the concentration of ions controlled by diffusion and electromigration, and the influence of temperature is taken into consideration as well. The weak form of governing equations is obtained by using the weighted residual method which is then reformulated in their
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A preconditioned 3D multi-domain FMIBEM for near-fault ground motion simulation considering the complete physical process of fault-path-layered sedimentary basin Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-28 Zhongxian Liu, Zhenen Huang, Qinghua Han, Lei Huang
Efficient and precise numerical methods, grounded in physical processes, are crucial for studying ground motion distribution in near-fault complex sites. This study introduces a preconditioned 3D multi-domain fast multipole indirect boundary element method (FMIBEM) that considers complete physical processes, including fault rupture, path propagation, and near-surface complex site response. The computational
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Identification of elastic edge parameters of plates using the method of fundamental solutions Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-27 Ehsan Samandizade, Mohammad-Rahim Hematiyan, Yui-Chuin Shiah
Free, fixed (clamped), and simply supported boundary conditions are standard edge boundary conditions that are normally considered in the modeling and analysis of plates. In many cases, the edge support of the plate is elastic, which cannot be modeled using the standard edge boundary conditions. To model the elastic edge of a plate, some parameters need to be determined. The aim of this study is to
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Phase-field modeling for curvature-dependent tissue growth on surfaces Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-27 Soobin Kwak, Yongho Choi, Jian Wang, Yunjae Nam, Junseok Kim
We propose a novel phase-field model for simulating curvature-dependent and surface-limited tissue growth on curved surfaces. The proposed mathematical model consists of a modified Allen–Cahn (AC) equation with a non-standard variable mobility and a growth term that depends on curvature and surface limitations. To solve the equations numerically, we use an operator splitting technique. We split the
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Consistent generalized finite element method: An accurate and robust mesh-based method even in distorted meshes Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-26 Jinwei Ma, Qinglin Duan, Rong Tian, Siqi Shu
A consistent generalized finite element method (C-GFEM) is proposed, showing excellent accuracy and convergence in distorted quadrilateral and hexahedral meshes. Both displacement approximation and domain integration are taken into consideration regarding the declining performance of the finite element method (FEM) in distorted meshes. In the displacement approximation, extra-degrees of freedom-free
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Dual-branch neural operator for enhanced out-of-distribution generalization Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-25 Jiacheng Li, Min Yang
Neural operators, which learn mappings between function spaces, offer an efficient alternative for solving partial differential equations. However, their generalization to out-of-distribution (OOD) parameters often falls short, with accuracy rapidly decreasing outside the training domain. To tackle this issue, we propose a dual-branch neural operator architecture. In this setup, the in-distribution
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Various near singularity regularization methods derived from distance transformations in 3D boundary element method Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-24 Yukai Jin, Yidan Zhang
This paper focuses on applying non-linear transformations for near singularity regularization combined distance transformations. In the previous methods, near singularities are usually considered in only the polar direction, ignoring those in the circular direction, which leads to low accuracy when calculating nearly singular integrals of narrow element or when the projection point is located near
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A total Lagrangian‒Riemann SPH method with MUSCL reconstruction for large elastic‒plastic deformation and fracture simulation Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-24 Longkui Chen, Zhanming Wang, Shenghong Huang
The smooth particle hydrodynamics (SPH) method possesses inherent advantages in simulating large deformations, fractures and crack propagations in solids. However, challenging issues, including tensile instability and numerical oscillations, persist. Total Lagrangian smooth particle hydrodynamics (TLSPH) was proposed to eliminate tensile instability by applying the kernel approximation consistently
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A local meshless numerical scheme based on the radial point interpolation for the generalized time-fractional Allen–Cahn equation Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-18 Ali Habibirad, Yadollah Ordokhani, Omid Baghani, Hadis Azin
This research has been conducted to investigate a numerical solution for the Allen–Cahn equation featuring the generalized fractional time derivative. The finite difference method is employed to discretize the equation in the time variable. Subsequently, an error estimate is derived for the proposed method in Lp,μ,q space. Furthermore, a meshless technique based on radial point interpolation is used
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Numerical analysis of basin response using Indirect Boundary Element Method (IBEM) for dip-slip sources Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-14 Zhonghan Liu, Zhenning Ba, Jingxuan Zhao, Jiaqi Niu
Accurate modeling of basin structures and quantitative analysis of basin amplification effects are critical for seismologists and engineers. The Indirect Boundary Element Method (IBEM), developed from the Boundary Element Method (BEM), is particularly well-suited for these tasks due to its capability to manage layers with lateral inhomogeneities. However, current IBEM studies mostly focus on wavefields
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The IGN-BEM coupled model for the interaction between fully nonlinear waves and 2D floating bodies over variable topography Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-12 Gao-fei Su, Ying Gou, Bin Teng, Ming Zhao
A two-dimensional time domain coupled model is developed to analyze the interaction between fully nonlinear waves and floating bodies over variable topography. The whole calculation domain is divided into an inner domain close to the structure and two outer domains far away from the structure. The fully nonlinear free surface boundary conditions are used in each sub-domain. Irrotational Green-Naghdi
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BEM formulation for simulating heat dissipation in microelectronic packaging with point heat sources Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-12 V. Gutiérrez-Posada, I. Ubero-Martínez, J. Cifuentes-Rodrǵuez, J. Vallepuga-Espinosa
This work presents a new and robust formulation for studying the effect of point heat sources on three-dimensional thermomechanical contact problems. The aim of this work is to accurately analyze heat dissipation in microchips with known heat sources. To achieve this, the Boundary Element Method (BEM) has been used to calculate the thermomechanical influence coefficients. The traditional BEM has been
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A volume compensation model for multi-resolution moving particle method simulating free-surface flow Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-11 Xiaoxing Liu, Kai Wang, Shunhua Chen, Shuai Zhang
This study presents a novel volume compensation model for multi-resolution moving particle method simulating free surface flows. The volume-compensation model is developed to conserve volume when simulating free surface flow using multi-resolution particles, a topic that has been rarely discussed for multi-resolution simulations in previous literature. The free surface is reconstructed by a linear
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Numerical simulation of fracture and breakage behaviors in rock disks containing pre-defects with an improved non-local model Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-09 Shijun Zhao, Liang Kong, Qing Zhang, Xinbo Zhao, Wei Xu
The characterization and understanding of cracking propagation behaviors in non-uniform geological structures are crucial for predicting the mechanical response of rock-like materials under varying loading conditions. In this study, an improved Peridynamics (PD) model with degree of heterogeneity characterized by random pre-breaking "bond" ratio is introduced to capture the intricacies of crack initiation
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A rational kernel function selection for Galerkin meshfree methods through quantifying relative interpolation errors Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-09 Like Deng, Dongdong Wang
Although kernel functions play a pivotal role in meshfree approximation, the selection of kernel functions is often experience-based and lacks a theoretical basis. As an attempt to resolve this issue, a rational matching between kernel functions and nodal supports is proposed in this work for Galerkin meshfree methods, where the quadratic through quintic B-spline kernel functions are particularly investigated
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A meshless method based on the method of fundamental solution for time harmonic electromagnetic field with a three-dimensional elastic body Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-12-07 Yao Sun, Jiaxin Chen
In this paper, we propose a numerical formula to calculate time-harmonic electromagnetic field interacting with three-dimensional elastic body. The formula is based on the method of fundamental solutions. Firstly, we perform Helmholtz decomposition on the displacement field. The problem will transform into a coupled bounded problem including a scaler Helmholtz equation, a vector Helmholtz equation