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Quasi-consistent efficient meshfree thin shell formulation with naturally stabilized enforced essential boundary conditions Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-17 Junchao Wu, Yangtao Xu, Bin Xu, Syed Humayun Basha
This research proposed an efficient and quasi-consistent meshfree thin shell formulation with naturally stabilized enforcement of essential boundary conditions. Within the framework of the Hu–Washizu variational principle, a mixed formulation of displacements, strains and stresses is employed in this approach, where the displacements are discretized using meshfree shape functions, and the strains and
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Multi-material topology optimization for additive manufacturing considering maximum build volume and assembly process Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-15 Yukun Feng, Takayuki Yamada
While topology optimization is promising for additive manufacturing structures, challenges arise in designing multi-material assemblies. The size often surpasses additive manufacturing build volumes, hindering successful manufacturing. Additionally, intricate topology-optimized structures complicate the assembly and decomposition of multiple material components. Addressing the aforementioned issues
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Galerkin finite block method with Lagrange multipliers method for cracked solids in functionally graded materials Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-12 Y.R. Zhou, W. Huang, J.J. Yang, P.H. Wen
This paper presents the application of the Galerkin Finite Block Method (GFBM) to address cracked solids associated with Functionally Graded Materials (FGMs), leveraging the foundational principles of the Galerkin method. The equilibrium equations pertinent to FGMs are articulated in their weak form. Employing Chebyshev polynomials as shape functions, the GFBM integrates mapping techniques to accommodate
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An efficient numerical algorithm to solve steady state heat conduction problems with local uncertainty Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-12 Xiaoqi Guo, Haitian Yang, Yiqian He
A computational cost-effective algorithm is proposed to solve steady-state heat conduction problems with uncertain thermal conductivity which appears locally at some part of structures. Such local uncertainty is assumed to be induced by a crack or notch, and modelled by probability or interval models. The deterministic steady-state heat conduction problem is formulated by the Scaled Boundary Finite
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Retraction notice to “Utilization of machine learning and neural networks to optimize the enclosure angle, magnetic field, and radiation parameter for mixed convection of hybrid nanofluid flow next to assess environmental impact” [Engineering Analysis with Boundary Elements 146 (2023) 252-262] Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-11 Tao Hai, Hayder A. Dhahad, Masood Ashraf Ali, Vishal Goyal, Sattam Fahad Almojil, Abdulaziz Ibrahim Almohana, Abdulrhman Fahmi Alali, Khaled Twfiq Almoalimi, Farah Qasim Ahmed Alyousuf
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Retraction notice to “Analyzing geometric parameters in inclined enclosures filled with magnetic nanofluid using artificial neural networks” [Engineering Analysis with Boundary Elements 146 (2023) 555-568] Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-11 Tao Hai, Sameer Alsharif, Masood Ashraf Ali, Pradeep Kumar Singh, As'ad Alizadeh
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Topology optimization of orthotropic multi-material structures with length-scale control based on element-free Galerkin method Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-11 Jianping Zhang, Shixiong Wu, Haiming Zhang, Lei Zhao, Zhijian Zuo, Shuying Wu
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Numerical simulation of coupled Klein–Gordon–Schrödinger equations: RBF partition of unity Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-10 Babak Azarnavid, Mojtaba Fardi, Soheila Mohammadi
The coupled Klein–Gordon–Schrödinger equations have significant implications in quantum field theory, particle physics, cosmology, and nonlinear dynamics. In this study, we propose an efficient method for numerically simulating this system. The proposed approach involves employing the radial basis function partition of unity for spatial discretization. This method utilizes scaled Lagrange basis functions
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Data-driven prediction of aerodynamic noise of transonic buffeting over an airfoil Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-09 Qiao Zhang, Xu Wang, Dangguo Yang, Weiwei Zhang
Accurately predicting buffet frequency and aerodynamic noise level is crucial in transonic buffet noise reduction studies. In this study, the Random Forest (RF) algorithm is employed to predict the Power Spectral Density (PSD) and Overall Sound Pressure Level (OASPL) distribution over the supercritical airfoil RAE2822. The study indicates that the RF algorithm exhibits greater advantages over the Multi-Layer
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A particle-based computational framework for damage assessment in a concrete dam-reservoir system under seismic loading Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-09 Tapan Jana, Amit Shaw, L.S. Ramachandra
A sudden failure of a concrete gravity dam can cause a huge economic loss and untold human tragedy. An earthquake of high magnitude is one of the reasons for this failure. Numerical simulation provides significant insight into dam fracture and damage evolution. Here, a particle-based computational framework is developed to investigate the failure of a concrete gravity dam-reservoir system exposed to
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Addressing arbitrary body forces in 2D elasticity coupling the Radial Basis Integration Method with boundary elements Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-08 A. Narváez, J. Useche
A boundary-domain integral formulation inevitably arises when the boundary element method (BEM) is applied for solving the differential equation that governs linear elastostatic problems with body forces. Although the domain integrals introduced by the body forces can be evaluated using internal cells this destroys the boundary-only meshing feature of BEM and makes the integration processes inefficient
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A meshless method based on the generalized finite difference method for 2D and 3D anisotropic elliptic interface problems Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-08 Ruiqing Mu, Lina Song, Qiushuo Qin
In this paper, a meshless method based on the generalized finite difference method is proposed for the 2D and 3D anisotropic elliptic interface problem. The method is convenient to deal with the mixed derivatives brought by the anisotropy, as well as the 2D and 3D complex geometries of the interfaces. Moreover, the treatment of different interfaces only needs to change their level set functions. Several
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Essential insights into particle interfaces: From arbitrary switching FEM-PD coupling to effective mitigating surface effects Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-04 Jinwei Guan, Li Guo
The issue of coupling the finite element method (FEM) and peridynamics (PD) is a critical concern of widespread attention in PD. In this paper, some essential insights into particle interfaces are presented to address the challenges of coupling PD with FEM and to mitigate surface effects. The interaction consistency between FEM and PD is demonstrated, and then a mechanical invariance of interactions
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A stable Generalized Finite Element Method for stokes interface problems Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-04 Haodi Zhu, Jianping Zhao, Yanren Hou
The Generalized Finite Element Method (GFEM) is developed from the Partition of the Unity Method (PUM), which expands the standard finite element space by using non-polynomial function spaces called the enrichment spaces. GFEM has been successfully applied to various problems, but it still has some drawbacks. It lacks robustness in adjusting meshes when solving interface problems, and the condition
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Interface crack analysis in 2D bounded dissimilar materials using an enriched physics-informed neural networks Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-03 Yan Gu, Longtao Xie, Wenzhen Qu, Shengdong Zhao
This study explores the application of physics-informed neural networks (PINNs) to analyze interface crack problems within the context of elastic bimaterial fracture mechanics. Bimaterial interface cracks exhibit a distinct behavior compared to cracks in homogeneous materials, and this behavior often involves oscillatory phenomena that can pose challenges in numerical modeling. By employing neural
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A parallel algorithm for three-dimensional numerical manifold elements generation Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-03 Xiongwei Yi, Fei Tan, Defu Tong, Yuyong Jiao
Numerical Manifold Method (NMM) has gained widespread application in engineering practice due to its capacity to effectively address both continuous and discontinuous problems in a unified framework. With the advancement of 3D-NMM, there remains a deficiency in ready-made preprocessing tools. Hence, the generation of 3D manifold elements (MEs) is the primary prerequisite for 3D-NMM. In this study,
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Surface crack effect on frequency and vibration mode switching of solar-powered aerospace structures Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-03 Hulun Guo, Jinjin Yuan, Krzysztof Kamil Żur
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Three-dimensional hybrid SAFE-BEM for elastic guided-wave scattering in a plate with finite width Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-01 Taizo Maruyama, Kosuke Kanda, Sumika Yamada
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The pre-trained explainable deep learning model with stacked denoising autoencoders for slope stability analysis Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-30 Shan Lin, Miao Dong, Xitailang Cao, Zenglong Liang, Hongwei Guo, Hong Zheng
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On the free and forced vibrations of porous GPL reinforced composite conical panels using a Legendre-Ritz method Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-28 Mostafa Mirzaei, Reyhaneh Rabiei
An analysis is conducted in the present investigation to study the free and forced vibration characteristics of composite laminated conical panels. It is assumed that composite panel is reinforced with graphene platelets (GPLs) where the amount of GPLs may be different between the layers which results in a piecewise functionally graded media. In addition, the effect of uniform and non-uniform porosities
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A hybrid data-driven framework for loss prediction of MCA airfoils Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-28 A. Zeinalzadeh, G. Hosseinzadeh Kamakoli, MR. Pakatchian
The Multi Circular Arc airfoils family has gained significant popularity in axial compressor design due to its capability to achieve higher pressure ratios with lower losses compared to conventional NACA airfoils. However, modeling their aerodynamic performance for transonic axial compressors remains a challenging task. This research addresses this issue by developing a data driven model for Multi
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Estimation of the fuel mixing of annular extruded fuel multi-jets in cavity flame holder at the supersonic combustion chamber via predictive surrogate model Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-27 Dechen Wei, Yuanyuan Jiao, Yukun Fan
Cavity flame holder is a well-organized method for fuel mixing inside the combustion chamber of supersonic vehicles. In this study, the combined machine learning technique of proper orthogonal decomposition (POD) combined with Long Short-Term Memory network (LSTM) is used for prediction of fuel jet penetration inside the cavity flame holder at free stream Mach=2.2 is investigated. Computational Fluid
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Plane strain problem of an elastic matrix containing multiple Gurtin–Murdoch material surfaces along straight segments Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-26 Rohit Satish Patil, Sofia G. Mogilevskaya
This paper presents the study of the plane strain problem of an infinite isotropic elastic medium subjected to far-field load and containing multiple Gurtin–Murdoch material surfaces located along straight segments. Each material segment represents a membrane of vanishing thickness characterized by its own elastic stiffness and residual surface tension. The governing equations, the jump conditions
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A linear smoothed quadratic finite element for buckling analysis of laminated composite plates Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-23 Qing Li, Shenshen Chen
In this paper, a linear smoothing scheme over eight-node Reissner-Mindlin plate element under the framework of the CS-FEM is employed to buckling analysis of laminated composite plates based on the first-order shear deformation theory. The modified stain matrix is computed by the divergence theorem between the nodal shape functions and their derivatives using Taylor's expansion. Isoparametric mapping
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Analysis and application of MLPG7 for diffusion equations with nonlinear reaction terms Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-20 Fatemeh Taghipoor, Ahmad Shirzadi, Hossein Hosseinzadeh
This paper extends the recently proposed variant of meshless local Petrov Galerkin (MLPG) method, i.e., MLPG7, for solving time dependent PDEs. As test function, the method uses a novel modification of fundamental solution of Laplace operator that not only the test function itself but also its derivative vanish on boundary of local subdomains. Therefore, more stable local integral equations are obtained
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Motor magnetic field analysis using the edge-based smooth finite element method (ES-FEM) Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-20 R.Q. Li, M.D. Peng, Z.C. He, G.B. Chang, E.L. Zhou
This paper proposes a smooth finite element method (S-FEM) for efficient and accurate analysis of motor magnetic fields. The edge-based smooth finite element (ES-FEM) formulations are derived for two-dimensional triangular element meshes suitable for multi-material motor structures, and then a magnetic flux density calculation method appropriate for S-FEM to calculate nonlinear electromagnetic fields
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Free vibration analysis of thin-walled folded structures employing Galerkin-based RKPM and stabilized nodal integration methods Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-19 Satoyuki Tanaka, Shion Ejima, Hanlin Wang, Shota Sadamoto
A Galerkin-based meshfree flat shell formulation is chosen to study natural frequency and eigenmode of thin-walled folded structures. Reproducing kernel is used as the interpolation function. Stabilized conforming nodal integration is employed for numerical integration of the weak form. Additionally, sub-domain stabilized conforming integration is adopted for the folded region to integrate the stiffness
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Special Issue on “Meshless computational approach to linear and non-linear mechanics of aerospace composite/intelligent structures” Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-19 Krzysztof Kamil Żur, Hulun Guo
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A versatile sharp boundary ghost-node method for moving rigid boundary fluid flow with meshless nodes distribution Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-19 Tongsheng Wang, Guang Xi, Zhongguo Sun, Zhu Huang
A sharp boundary ghost-node method (GNM) is developed to solve the moving boundary fluid flow in a meshless local radial basis function (LRBF) framework. The background Euler fluid node is the mesh-less scattered node based on LRBF rather than the conventional Cartesian grid or unstructured mesh. The present approach (LRBF-GNM) can flexibly treat the steady boundary with the body-fitted nodes and tackle
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Optical solitons based on N-coupled nonlinear Schrödinger equations and rational RBF partition of unity approach Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-19 Mostafa Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, Mehdi Dehghan
Recently, several numerical methods based on the radial basis functions have been applied to solving differential equations. Many researchers have employed the radial basis functions collocation technique and its improvements to get more accurate and efficient numerical solutions. The Schrödinger equations have several applications in the optic and laser. Accordingly, several numerical procedures have
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The direct RBF-based partition of unity method for solving nonlinear fractional parabolic equations Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-14 Banafsheh Raeisi, Mohammadreza Ahmadi Darani, Mojtaba Fardi
This paper aims to analyze a novel localized radial basis function method known as the ’direct RBF-based partition of unity method’ for solving nonlinear fractional parabolic equations. In the proposed method, the weight functions are not operated on by the differential operators, resulting in a decrease in computational cost and algorithmic complexity. Another advantage of the direct RBF-based partition
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Dynamic response of semi-cylindrical depression, cylindrical cavity and type-III crack to SH wave in half-space anisotropic media Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-13 Debao Guo, Zailin Yang, Jinlai Bian, Yunqiu Song, Yong Yang
In this study, the anti-plane dynamic response of an elastic half-space anisotropic medium containing surface semi-cylindrical depressions and internal cylindrical cavity and type-III crack is solved analytically. The wave function expansion method, the complex function method and the Green's function method can be used to effectively construct the free wave field equation and the scattered wave field
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Modeling groundwater flow with random hydraulic conductivity using radial basis function partition of unity method Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-12 Fouzia Shile, El Hassan Ben-Ahmed, Mohamed Sadik
Simulating groundwater flows in heterogeneous aquifers is one of the most widely studied problems. The heterogeneity is modeled through random hydraulic conductivity fields log-normally distributed. In this paper, we aim to generate the realization of the log-normal hydraulic conductivity by summing up a finite number of random periodic modes with the Kraichnan algorithm. To address Neumann conditions
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A non-iterative boundary element formulation for nonlinear viscoelasticity Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-12 Ahmet Arda Akay, Ercan Gürses, Serdar Göktepe
In this study, we propose a non-iterative boundary element method (BEM) of highly nonlinear viscoelasticity in time domain. The computationally attractive iteration-free algorithmic structure is achieved by the linearization of a power-type evolution equation. Supplementing the consistent linearization about every solution step with a semi-implicit update scheme, we obtain a robust boundary element
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Numerical investigation of high-dimensional option pricing PDEs by utilizing a hybrid radial basis function - finite difference procedure Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-11 Nawzad M. Ahmed, Fazlollah Soleymani, Rostam K. Saeed
The target of this research is to resolve high-dimensional partial differential equations (PDEs) for multi-asset options, modeled as parabolic time-dependent PDEs. We present a hybrid radial basis function - finite difference (RBF-FD) solver, which combines the advantages of Gaussian and multiquadric functions. Additionally, we employ the Krylov subspace method on the resulting system of ordinary differential
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Learning based numerical methods for acoustic frequency-domain simulation with high frequency Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-10 Tingyue Li, Yu Chen, Yun Miao, Dingjiong Ma
Acoustic simulation in frequency-domain is related to solving Helmholtz equations, which is still highly challenging at high frequency with complex geometries. In this paper, a learning based numerical method (LbNM) is proposed for general boundary value problems of Helmholtz equation. By using Tikhonov regularization, the solution operator is stably learned from various data solutions especially fundamental
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Analyzing non-isothermal phase transition problems with natural convection using peridynamic differential operator Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-08 Baoliang Zhou, Zhiyuan Li, Yanzhou Lu, Dan Huang
In this study, a developed model for non-isothermal phase transition with natural convection is proposed by using peridynamic differential operator (PDDO). The dimensionless governing equations of heat source approach and vorticity-stream function approach are reconstructed into the non-local integral form. The Euler forward difference is used for time integration. The application of the developed
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A batch-filling method of VIE-MoM matrix for inhomogeneous dielectric target with full- and half-SWG function Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Ruqi Xiao, Wen Geyi, Guo Yang, Wen Wu
A batch-filling method (BFM) for generating the volume-integral-equation-methods of moment (VIE-MoM) matrix for the scattering of inhomogeneous objects by using the full- and half-SWG basis function is proposed. The BFM is based on the summation of contributions of all integrals over tetrahedrons and boundary faces, and the contributions are arranged into a column vector that represents the interactions
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Flow regime classification using various dimensionality reduction methods and AutoML Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Umair Khan, William Pao, Karl Ezra Pilario, Nabihah Sallih
Accurate identification of flow regimes is paramount in several industries, especially in chemical and hydrocarbon sectors. This paper describes a comprehensive data-driven workflow for flow regime identification. The workflow encompasses: i) the collection of dynamic pressure signals using an experimentally verified numerical two-phase flow model for three different flow regimes: stratified, slug
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A novel approach for estimating blood flow dynamics factors of eccentric stenotic arteries based on ML Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Yang Li, Detao Wan, Dean Hu, Changming Li
Reliable and rapid estimation of blood flow dynamics factors in eccentric stenotic arteries could significantly improve clinical treatments. Numerical simulation methods such as FSI and CFD are widely used to investigate blood flow conditions. However, both FSI and CFD are computationally expensive and not suitable for large-scale research. This work proposes an effective approach for estimating the
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Cross element integration for superconvergent frequency computation with cubic isogeometric formulation Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Ao Shen, Zhuangjing Sun, Songyang Hou, Dongdong Wang
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Material point method simulation approach to hydraulic fracturing in porous medium Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Fan Sun, Dongsheng Liu, Guilin Wang, Cong Cao, Song He, Xun Jiang, Siyu Gong
Two primary challenges in simulating hydraulic fracturing are the hydro–mechanical coupling and fracture propagation. The material point method (MPM) has advantages over conventional numerical methods by combining the advantages of particle- and mesh-based approaches in handling highly non-linear hydraulic fracturing problems. However, as MPM is primarily utilized for continuous solid simulations,
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An SPIM-FEM adapting coupling approach for the analysis of quasi-brittle media Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-06 Samir Silva Saliba, Lapo Gori, Roque Luiz da Silva Pitangueira
This paper presents an adaptive coupling approach between meshless Smoothed Point Interpolation Methods (SPIMs) and the Finite Element Method (FEM) for the physically nonlinear analysis of quasi-brittle media. The nonlinear behaviour is represented by scalar damage and smeared-crack models. In the proposed adaptive coupling approach, the domain is initially discretised with a relatively coarse FEM
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A novel reduced basis method for adjoint sensitivity analysis of dynamic topology optimization Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-06 Shuhao Li, Jichao Yin, Xinchao Jiang, Yaya Zhang, Hu Wang
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Numerical study of two operator splitting localized radial basis function method for Allen–Cahn problem Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-05 Mahdi Emamjomeh, Mohammad Nabati, Abdollah Dinmohammadi
In this article, we will explore the numerical simulation of the Allen–Cahn equation and provide effective combination methods to efficiently solve it. The Allen–Cahn equation, an equation of mathematical physics, represents a singularly perturbed reaction–diffusion phenomenon that elucidates the phase separation mechanism occurring in multi-component alloy systems. Finding a numerical solution for
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Development of GDDR method for ratcheting analysis of moderately thick plates Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-05 Seyed Iman Shahraini, Mehran Kadkhodayan, Hoda Aslani
In the present paper, a previously introduced numerical method, GDDR (Generalized Differential Dynamic Relaxation), is developed to analyze ratcheting behavior of moderately thick rectangular plates. The validity of the method is verified by comparison with literature data and finite element method results. Classical Plate Theory (CPT) and First-order Shear Deformation Theory (FSDT) are utilized to
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Study on meso‑mechanical properties and failure mechanism of soil-rock mixture based on SPH model Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-05 Gang Zhong, Xiaoqiang Zhang, Shunchuan Wu, Haoyang Wu, Xiong Song
This study adopts the Smoothed Particle Hydrodynamics (SPH) technique to accurately and efficiently replicate and forecast the mesoscopic behavior of soil-rock mixtures (SRM). It introduces a novel approach for generating rock blocks within the SRM, utilizing a method that randomly selects angles and lengths. In addition, this research proposes a method for discretizing any shaped region into free
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Natural convection analysis of magnetic nanofluid in fluid-magnetic coupled filed using the peridynamic differential operator Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-02 Zhanqi Cheng, Xihong Zhang, Yang Yang
In this paper, an updated Lagrangian method based on peridynamic differential operator (PDDO) is proposed to study the natural convection and heat transfer of magnetic nanofluids under the fluid and magnetic coupled filed. The governing Navier-Stokes equations considering the effects of Lorentz force in Magnetohydrodynamics (MHD) and the magnetization intensity in Ferrohydrodynamics (FHD) are reformulated
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Assessment of the edge-based smoothed finite element method for dynamic analysis of the multi-phase magneto-electro-elastic structures Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-01 Zhilong Jiang, Qiang Gui, Wei Li, Yingbin Chai
The dynamic behaviors of the well-known multi-phase magneto-electro-elastic (MEE) structures usually receive much attention in designing various intelligent devices, and the finite element method (FEM) is an effective numerical procedure for MEE structural dynamics. However, the relatively high mesh quality is necessary for the FEM to generate reliable results because of the overestimation of stiffness
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Stress singularity analysis for the V-notch with a novel semi-analytical boundary element Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-02-29 Yifan Huang, Changzheng Cheng, Zongjun Hu, Djimédo Kondo, Raj Das
The stress singularity occurs near a V-notch. The conventional boundary element method can only approach to the exact results with gradually refined mesh. In this paper, by introducing the Williams asymptotic expansion, a novel semi-analytical element is proposed. The new element models the geometry and the known physical fields with linear interpolation, while the unknown physical fields will be simulated
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A novel nodal integration technique for meshfree methods based on the Cartesian transformation approach in the analysis of curved shells Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-02-29 Thien Tich Truong, Nha Thanh Nguyen, Dinh Kien Nguyen, Vay Siu Lo
In this paper, a novel nodal integration technique for meshfree methods is introduced. This technique is based on the idea of the Cartesian transformation method, which prevents the presence of background cells during the numerical integration process. The Gauss–Lobatto quadrature is used instead of the conventional Gaussian quadrature to create the integration points so that the integration points
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Simulation of the cancer cell growth and their invasion into healthy tissues using local radial basis function method Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-02-28 Fatemeh Asadi-Mehregan, Pouria Assari, Mehdi Dehghan
Applying mathematical models to simulate dynamic biological processes has been a common practice for a long time. In recent decades, cancer research has also adopted this approach to understand how cancer cell populations grow and spread. This study focuses on a mathematical model that uses a system of PDEs to explain the time-dependent reaction–diffusion interaction among cancer cells, extracellular
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Unified layer-wise model for magneto-electric shells with complex geometry Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-02-28 J.C. Monge, J.L. Mantari, M.N. Llosa, M.A. Hinostroza
This paper presents a polynomial layer-wise model in the framework of Carrera's Unified Formulation for the bending analysis of a magneto-electric shells with variable radii of curvature. A parametric surface is used to model the middle surface of the shell. Lame Parameters and Radius of Curvature are calculated by using Differential Geometry. The mechanical displacement, along with the electric and
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3D meshless modeling of piezoelectric structure based on the radial point interpolation method Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-02-27 Ying He, Jiwei Li
Piezoelectric materials find widespread applications in high-precision actuators and sensors. However, the traditional finite element method falls short in meeting the simulation needs of piezoelectric structures due to complexities in mesh generation and precision requirements for accurate simulations. This paper focuses on adapting and generalizing the meshless modeling technique based on the radial
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Numerical modeling techniques for shield tunnel lining structure using the numerical manifold method (NMM) Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-02-24 Pengfei Yan, Bangke Ren, Yongchang Cai
An advanced and reasonable calculation for lining structure is very import for rapid structural design and safe construction of shield tunnel. This work extends the numerical manifold method (NMM) for simulating shield tunnel lining structure. In the present method, a contact model based on virtual thin layer is developed for simulating the complex mechanical behaviors of segmental joint. The steel
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A GFDM approach based on the finite pointset method for two-dimensional piezoelectric problems Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-02-24 Felix R. Saucedo-Zendejo, Jorge L. Medrano-Mendieta, Adriana G. Nuñez-Briones
In this article a novel Generalized Finite Difference Method (GFDM) derived from the so-called Finite Pointset Method (FPM) is presented and discussed for the first time to solve two-dimensional piezoelectric structures. In this approach, the approximation of the field variables depends on both the governing equations and the local problem discretization, and it incorporates the minimization of the
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A meshless method based on the modified moving Kriging interpolation for numerical solution of space-fractional diffusion equation Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-02-24 A. Habibirad, O. Baghani, E. Hesameddini, M.H. Heydari, H. Azin
Fractional differential equations (FDEs) offer numerous capabilities for modeling unusual phenomena. So, the study of these models is essential. This paper proposes an efficient meshless technique for obtaining the numerical solution of a space fractional diffusion model with Caputo derivative type. Typically, in a meshless processes based on moving Kriging (MK) interpolation, the MK technique is used
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Recent trends and new developments in molecular dynamics and lattice Boltzmann methods Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-02-23 Arash Karimipour
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A unified formulation and the boundary discontinuous Fourier method for clamped functionally graded shells Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-02-23 RW Laureano, JL Mantari, J Yarasca, AS Oktem, J Monge, Xueqian Zhou
In the present work, analytical numerical solutions of the static behavior of fully clamped functionally graded (FG) doubly-curved panels are presented. The mechanical model is based on the Carrera Unified Formulation (CUF) under the Equivalent-Single-Layer (ESL) approach. The governing equations, in their strong form, are derived from the Principle of Virtual Displacements (PVD). The main novelty
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A novel highly accurate Trefftz attitude towards bending and free vibration analysis of doubly-curved laminated and sandwich shallow shells Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-02-23 Ali Reza Motamedi, Nima Noormohammadi, Bijan Boroomand
This paper extends the meshless local exponential basis functions to the analysis of doubly curved laminated and sandwich shallow shells. The method discretizes the shell domain by some nodes at which the degrees of freedom are defined. A specific number of nearby nodes, only based on their distance, are selected as a cloud. Within every cloud, the total solution is set in homogeneous and particular