Article
Engineering, Multidisciplinary
Shahram Hosseini, Gholamhossein Rahimi, Yavar Anani
Summary: The study introduces a meshless collocation method based on radial basis functions for analyzing the free and forced vibration of functionally graded plates. A new algorithm is proposed to determine the shape parameters of the radial basis function and discretize the governing equations for obtaining natural frequencies. The reduced equations are solved using eigenvectors and numerical methods, providing a convenient and accurate approach for vibration analysis.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Engineering, Multidisciplinary
Isa Ahmadi
Summary: In this study, a novel formulation based on the meshless method was developed to study the dynamic behavior of 2D functionally graded nanobeams. The predictions of the presented solution were validated with good agreements through comparison with available results in literature, and the effects of various parameters on the normalized natural frequencies of 1D and 2D-FG nanobeams were investigated.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Engineering, Multidisciplinary
Shengdong Zhao, Yan Gu, Chia-Ming Fan, Xiao Wang
Summary: A new framework for solving general nonlinear problems is proposed in this paper. By using the analog equation method, the original nonlinear problem is transformed into an equivalent linear equation problem. The solution of the substitute problem is obtained using the localized method of fundamental solutions. The main advantage of this method is the sparse and banded stiffness matrix, which makes it suitable for large-scale nonlinear simulations.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Multidisciplinary Sciences
Vahid Reza Hosseini, Farzaneh Yousefi, W. -N. Zou
Summary: This study introduces a novel meshless technique for solving diffusion problems within cell biology, computer graphics, image processing, and fluid flow. It presents a variable-order time fractional diffusion equation and uses a meshfree method based on singular boundary method and dual reciprocity method on three-dimensional arbitrary geometry for numerical solutions. Results confirm the stability and convergent of the proposed method on high-dimensional domains, demonstrating its reliability and accuracy on complex geometries.
JOURNAL OF ADVANCED RESEARCH
(2021)
Article
Engineering, Mechanical
J. C. Wen, J. Sladek, V. Sladek, M. H. Aliabadi, P. H. Wen
Summary: This paper presents a Method of Fundamental Solutions (MFS) combined with Erdogan's solutions for Functionally Graded Materials (FGM) to analyze 2D fracture problems under static and dynamic loads. Erdogan derived analytical solutions for a pair of static concentrated forces in an infinite isotropic plate with a straight cut. The contribution of non-homogeneity in equilibrium equations is treated as body forces and requires domain integrals based on Erdogan's fundamental solutions. In dynamic cases, Laplace transformation and Durbin inversion technique are used to determine time-dependent variables such as stress intensity factors. Numerical domain integrals are obtained using the sub-region technique. The accuracy of MFS is demonstrated through four numerical examples and comparisons with different numerical approaches are performed.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2023)
Article
Thermodynamics
Jiao Li, Guangchun Wang, Shuai Liu, Jun Lin, Yanjin Guan, Guoqun Zhao, Hakim Naceur, Daniel Coutellier, Tao Wu
Summary: In this study, the thermal and mechanical properties of functionally graded material (FGM) were tailored to address the thermoelastic problem using a specific meshless smoothed particle hydrodynamics (SPH) method. The introduction of the symmetric SPH (SSPH) technique improved the inconsistency of the conventional SPH method, allowing for efficient solution of heat conduction and balance equations. The proposed approach was demonstrated to achieve result accuracy in solving numerical examples and consider the effect of gradation indexes on thermoelastic behavior.
CASE STUDIES IN THERMAL ENGINEERING
(2021)
Article
Mathematics, Applied
Yuhui Zhang, Timon Rabczuk, Jun Lu, Shifa Lin, Ji Lin
Summary: An efficient space-time backward substitution method (STBSM) is proposed for solving nonlinear transient heat conduction problems in 2D and 3D functionally graded materials (FGMs). By introducing space-time radial basis function (STRBF) and space-time trigonometric basis function (STTBF), the computation efficiency of the traditional backward substitution method (BSM) for transient problems is improved. The time dimension is considered as a pseudo-space dimension and transformed into a (d + 1)-dimensional steady-state governing equation. The accuracy and efficiency of the proposed method are verified through several examples.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2022)
Article
Mathematics, Applied
Hossein Hosseinzadeh, Ahmad Shirzadi
Summary: This paper proposes a novel meshless local integral equation method for numerical solutions of two and three-dimensional Poisson equations. The method is a new variant of the existing meshless local Petrov-Galerkin method and is called MLPG7. The method uses an average of the local boundary integral equation method and introduces a new kernel function. The numerical results demonstrate the significance of the proposed method.
APPLIED NUMERICAL MATHEMATICS
(2023)
Article
Mathematics, Applied
Xiao Ma, Bo Zhou, Shifeng Xue
Summary: In this paper, a Hermite interpolation element-free Galerkin method is proposed for functionally graded structures by combining Hermite interpolation and interpolation element-free Galerkin method. The method considers the normal derivative of the displacements at the boundary to improve computational accuracy. Numerical examples demonstrate the accuracy and reliability of the proposed method for functionally graded structures.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Mathematics, Applied
E. Aourir, N. Izem, H. Laeli Dastjerdi
Summary: This paper presents a meshless collocation method based on radial basis functions for solving third kind VIEs. The method utilizes radial basis functions as basis functions and does not require meshing. The formulation of the suggested equations and error analysis of the approach are described. Illustrative examples demonstrate the reliability and effectiveness of the new approach, comparing it to other methods and showing its accuracy.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Thermodynamics
Amir Noorizadegan, D. L. Young, Chuin-Shan Chen
Summary: A novel approach using a meshless localized space-time radial basis function (LSTRBF) is proposed for efficiently and accurately simulating transient heat conduction in functionally graded materials (FGM). The method offers advantages in terms of mesh independence and suitability for multidimensional problems, and introduces a novel shape parameter strategy to enhance accuracy.
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
(2023)
Article
Engineering, Aerospace
Mustapha Fouaidi, Mohammad Jamal, Abdelkabir Zaite, Naoual Belouaggadia
Summary: This paper investigates the linear bending response of functionally graded composite beams reinforced with graphene oxide powder under different mechanical loads using a meshfree collocation method. Various comparisons studies and parametric studies are conducted to demonstrate the robustness and accuracy of the numerical model and examine the effects of different parameters on the bending behavior of the reinforced composite beams.
AEROSPACE SCIENCE AND TECHNOLOGY
(2021)
Article
Computer Science, Interdisciplinary Applications
Cheng-Yu Ku, Li-Dan Hong, Chih-Yu Liu, Jing-En Xiao
Summary: This paper proposes a novel meshless approach using space-time polyharmonic radial polynomial basis functions to model saturated and unsaturated flows in porous media. By investigating saturated and unsaturated flow problems, the robustness and high accuracy of the proposed method are demonstrated. The proposed space-time polyharmonic radial polynomial basis functions provide highly accurate solutions and higher accuracy and stability compared to conventional time-marching schemes in solving saturated and unsaturated flow problems.
ENGINEERING WITH COMPUTERS
(2021)
Article
Mathematics, Applied
Hijaz Ahmad, Muuhammad Nawaz Khan, Imtiaz Ahmad, Mohamed Omri, Maged F. Alotaibi
Summary: This paper presents the numerical solution for the time-fractional Black-Scholes model of European and American options using a local meshless collocation approach based on hybrid Gaussian-cubic radial basis functions with polynomials. The approach is extended to a nonlinear time-fractional model for an option with transaction costs in a low-liquidity market. Numerical experiments are conducted for various option models to evaluate the effectiveness and accuracy of the proposed meshless approach. Comparison with existing methods in literature is also provided.
Article
Mathematics, Applied
Zheng Liu, Gaofeng Wei, Shaopeng Qin, Zhiming Wang
Summary: A new meshfree method, RRKPM, based on RBFs and RKPM is proposed for solving elastoplastic problems of FGMs, which offers greater accuracy and convergence advantages. The applicability and reliability of RRKPM are validated through examples and comparison with RKPM and FEM solutions.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Materials Science, Multidisciplinary
Si-Hang Xiao, Chong Zhang, Qing-Hua Qin, Hui Wang
Summary: A novel planar auxetic material is designed in this study by introducing a periodic cookie-shaped pattern to reduce stress levels and create a complete band gap at lower frequencies. The designed structure features a self-collimation effect and parameter analysis can help tailor optimal acoustic and mechanical properties for auxetic phononic metamaterials.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Ruifeng Cao, Taotao Wang, Yuxuan Zhang, Hui Wang
Summary: Improved heat transfer in composites consisting of guar gel matrix and randomly distributed glass microspheres is studied using a finite element method. A random sequential adsorption algorithm is developed to generate the three-dimensional random distribution of microspheres in the matrix. The numerical results investigate the dependence of the effective thermal conductivity on various factors and are compared with theoretical predictions and experimental data.
MATERIALS SCIENCE-MEDZIAGOTYRA
(2022)
Article
Materials Science, Multidisciplinary
Feng Hou, Sihang Xiao, Hui Wang
Summary: Metamaterial with elliptical perforations is studied using a distinctive computational homogenized method, investigating the relationship between effective properties and microstructure parameters, as well as base material composition. The design criterion of zero Poisson's ratio is formulated to guide metamaterial design.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Hui Wang, Chong Zhang, Qing-Hua Qin, Yang Bai
Summary: This study presents a new design for improving the compression-torsion coupling (CTC) performance of tubular mechanical metamaterial by introducing boomerang-shaped tetrachiral elements with curved ligaments. The experimental results and numerical solutions show promising CTC performance of the fabricated specimen. The curved ligament in the design brings more flexible deformation and better CTC property compared to the straight one.
MATERIALS TODAY COMMUNICATIONS
(2022)
Article
Chemistry, Physical
Miao Zou, Wu-Gui Jiang, Qing-Hua Qin, Yu-Cheng Liu, Mao-Lin Li
Summary: This study developed an optimized XGBoost model to predict the density of SLMed Ti-6Al-4V parts and found that with the reduction of dataset size, the prediction accuracy decreases but overall accuracy remains high. Additionally, the optimized XGBoost model outperformed ANN and SVR models in evaluation indicators.
Article
Polymer Science
Quanyan He, Miaojing Wang, Yitao Du, Qinghua Qin, Wei Qiu
Summary: This study used the photoelastic method to investigate the stress-optical properties of PET films. A self-built bidirectional photoelasticity measurement system was developed and used to measure the stress-optical coefficients and isoclinic angles of PET films with different stretching angles. The linear combinations of the photoelastic tensor components and refractive-index-related parameters were determined by fitting the analytical relationship between the stress-optical coefficients and isoclinic angles.
Article
Physics, Applied
Shaohua Yan, Zheng Zhong, Qing. H. Qin
Summary: This paper investigates the mechanical properties of nanotwined copper at micro/nanoscales. The influence of vertical twin-boundary spacing and orientation on the deformation behavior of micropillars is explored through experiments, simulations, and theoretical analysis. The results show that decreasing twin-boundary spacing leads to increased yield stress, and micropillars with slanted twin boundaries at a spacing of 15.5 nm exhibit the highest strength.
JOURNAL OF APPLIED PHYSICS
(2022)
Article
Nanoscience & Nanotechnology
Bo Song, Kun Cai, Jiao Shi, Qing-Hua Qin
Summary: This study reveals the feasibility of fabricating graphene nanotubes (GNTs) by self-assembling a monolayer graphene ribbon on a carbon nanotube (CNT) and explores the mechanism of temperature dependence in the self-assembly process. Different types, lengths, and radii of GNTs can be obtained by controlling the geometry of the graphene ribbon and temperature.
Article
Engineering, Civil
Chengzhen Yin, Yi Xiao, Di Zhu, Jianshan Wang, Qing-Hua Qin
Summary: This paper investigates the dynamic characteristics of a one-dimensional phononic crystal with compression-twist coupling effect, and explores its starting frequency, bandwidth, and attenuation performance through analytical and numerical methods.
THIN-WALLED STRUCTURES
(2022)
Article
Thermodynamics
Feng Hou, Xinjuan Zhao, Hui Wang, Qinxi Dong
Summary: This study utilizes small hollow steel balls to encapsulate paraffin and mix it with cementitious matrix to fabricate functional composite phase change materials. The changes in composite thermal conductivity and the decrease in composite compressive strength are investigated through experiments and theoretical calculations, and the performance characteristics of these composite materials are discussed.
CASE STUDIES IN THERMAL ENGINEERING
(2022)
Article
Materials Science, Multidisciplinary
Kun Cai, Puwei Wu, Qing-Hua Qin
Summary: In this study, the interaction between the bladed rotor and water in a rotation transmission nanosystem is investigated using molecular dynamics simulation. Several important conclusions are drawn for the design of nanomachines, including the ability to control rotation transmission efficiency by adjusting the height of the blades.
MATERIALS SCIENCE AND ENGINEERING B-ADVANCED FUNCTIONAL SOLID-STATE MATERIALS
(2022)
Article
Engineering, Mechanical
Hongyuan Liu, Feng Hou, Ang Li, Yongpeng Lei, Hui Wang
Summary: In this study, a data-driven approach is introduced to achieve efficient and reversible design of perforated materials with peanut-shaped pores. By training BPNN and optimizing the mapping relationship using GA, the corresponding optimal solutions of microstructural parameters meeting the target Poisson's ratio are found. The efficiency and accuracy of specific optimal designs are verified through experiments and simulations. Furthermore, this interdisciplinary tool enables the acceleration of auxetic metamaterial design by obtaining more optimal solutions corresponding to positive, zero, or negative Poisson's ratios.
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(2023)
Article
Engineering, Mechanical
Ang Li, Yongpeng Lei, Yang Bai, Hui Wang
Summary: An improved lightweight design with orthogonal corrugated beams is proposed to approximate the perforated auxetic structure and characterize its full anisotropic elastic constants. The numerical model is verified by experimental tests, highlighting the dependence of structural elastic responses on the microstructural configuration. The results pave a way to the design and analysis of novel metamaterials with tunable mechanical properties.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Mechanics
Minghui Zhang, Yi Xiao, Qing-Hua Qin
Summary: Engineering topological structures in unit cells provides elastic metamaterials (EMMs) with exceptional wave attenuation capabilities. However, practical metastructures, which are truncated versions of infinite EMMs, may significantly reduce wave attenuation capabilities. To address this, a novel modal-based method (MM) is proposed for evaluating the wave attenuation of 3D metastructures. By characterizing dominant eigenmodes developed in metastructures, the opening and closing of stopbands are evaluated, and the influence of different mechanisms on wave attenuation performance is investigated. Additionally, a modal-based design framework is introduced to modify metastructures for improved applicability in various engineering disciplines.
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
(2023)
Article
Chemistry, Multidisciplinary
Shaohua Yan, Thomas D. Bennett, Weipeng Feng, Zhongyin Zhu, Dingcheng Yang, Zheng Zhong, Qing H. Qin
Summary: Metal-organic framework (MOF) glasses, a new type of glass, have the potential to solve greenhouse effects, energy storage and conversion. However, the mechanical behavior of MOF glasses is not well understood. Through experiments and simulations, we found that a specific type of MOF glass can achieve both high strength and large ductility at the nanoscale. The insights gained from this study can guide the manufacturing of ultra-strong and ductile MOF glasses for real-world applications.
Article
Engineering, Multidisciplinary
Dongliang Ji, Hui Cheng, Hongbao Zhao
Summary: The influence of crystal size on the macroscopic parameters of sandstone samples is studied using a rock model based on the Voronoi tessellated model. It is found that decreasing crystal size results in increased strength and elastic modulus. Strain energy density (SED) is shown to help explain the failure mechanisms of the sandstone samples. A constitutive model that considers the heterogeneity in elastic modulus and rock strength is developed and is in good agreement with experimental results. The study also identifies the triggering of surface damage on slopes by vibration excitation in engineering applications as well as proposes a constitutive model for quantitatively evaluating damage accumulation in mining tunnels.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Francesco Tornabene, Matteo Viscoti, Rossana Dimitri
Summary: This manuscript investigates the dynamic properties of doubly-curved shell structures laminated with innovative materials using the Generalized Differential Quadrature (GDQ) method. The displacement field variable follows the Equivalent Single Layer (ESL) approach, and the geometrical description of the structures is distorted by generalized isogeometric blending functions. Through non-uniform discrete computational grid, the fundamental equations derived from the Hamiltonian principle are solved in strong form. Parametric investigations show the influence of material property variation on the modal response of the structures.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Duy-Khuong Ly, Ho-Nam Vu, Chanachai Thongchom, Nguyen-Thoi Trung
Summary: This paper presents a novel numerical approach for nonlinear analysis and smart damping control in laminated functionally graded carbon nanotube reinforced magneto-electro-elastic (FG-CNTMEE) plate structures, taking into account multiple physical fields. The approach employs a multi-physical coupling isogeometric formulation to accurately capture the nonlinear strain-displacement relationship and the magneto-electro-elastic coupling properties. The smart constrained layer damping treatment is applied to achieve nonlinear damped responses. The formulation is transformed into the Laplace domain and converted back to the time domain through inverse techniques for smart control using viscoelastic materials.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Xiaoyang Xu, Jie Cheng, Sai Peng, Peng Yu
Summary: In this study, a smoothed particle hydrodynamics (SPH) method is developed to simulate viscoelastic fluid flows governed by the Phan-Thien-Tanner (PTT) constitutive equation. The method is validated by comparing its solutions with those obtained by the finite volume method (FVM). The method is also used to simulate the impact behavior and dynamics of a viscoelastic droplet, and the influences of various parameters are investigated. The results demonstrate the accuracy and capability of the SPH method in describing the rheological properties and surface variation characteristics of viscoelastic fluid flows.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Xueying Zhang, Yangjiong Wu
Summary: This paper proposes a high resolution strategy for the localized method of approximate particular solutions (LMAPS). The strategy aims to improve the accuracy and stability of numerical calculation by selecting upwind interpolation templates. Numerical results demonstrate that the proposed high-resolution LMAPS is effective and accurate, especially for solving the Navier-Stokes equations with high Reynolds number.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Yong-Tong Zheng, Yijun Liu, Xiao-Wei Gao, Yang Yang, Hai-Feng Peng
Summary: Structures with holes are common in engineering applications. Analyzing stress concentration effects caused by holes using FEM or BEM is challenging and time-consuming. This paper proposes improved methods for simulating holes and cylinders, reducing the number of nodes while maintaining stress accuracy. Numerical examples demonstrate the accuracy and efficiency of the proposed methods.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Chein-Shan Liu, Chung-Lun Kuo
Summary: The paper presents two new families of fundamental solutions for the 3D Laplace equation and proposes the methods of pseudo fundamental solutions and anisotropic fundamental solutions, which outperform the traditional 3D MFS.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Sima Shabani, Miroslaw Majkut, Slawomir Dykas, Krystian Smolka, Esmail Lakzian
Summary: This study validates and simulates steam condensing flows using different condensation models and equations of state, identifying the most suitable model. The results highlight the importance of choosing the appropriate numerical model for accurately predicting steam condensation flows.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
D. L. Guo, H. H. Zhang, X. L. Ji, S. Y. Han
Summary: In this study, the mechanical behaviors of 2-D orthotropic composites with arbitrary holes were investigated using the numerical manifold method (NMM). The proposed method was verified and found to have good convergence and accuracy. Additionally, the effects of material principal direction and hole configurations on the mechanical behaviors of the orthotropic composites were revealed.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Giacomo Rosilho de Souza, Rolf Krause, Simone Pezzuto
Summary: In this paper, we propose a boundary element method for accurately solving the cell-by-cell bidomain model of electrophysiology. The method removes the degeneracy in the system and reduces the number of degrees of freedom. Numerical experiments demonstrate the exponential convergence of our scheme in space and several biologically relevant experiments are provided.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Riku Toshimitsu, Hiroshi Isakari
Summary: This study extends a recent paper by Lai et al. (2018) by introducing a novel boundary integral formulation for scalar wave scattering analysis in two-dimensional layered and half-spaces. The modified integral formulation eliminates fictitious eigenvalues and reasonable parameter settings ensure efficient and accurate numerical solutions. The proposed method is demonstrated to be effective through numerical examples.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Ebutalib Celik, Merve Gurbuz-Caldag
Summary: In this paper, a new meshless method based on domain decomposition for an L-shaped domain is proposed, which uses RBF-FD formulation at interface points and classical FD in sub-regions to improve the solution accuracy. The proposed numerical method is applied to simulate benchmark results for a divided-lid driven cavity and solve Navier-Stokes equations with Lorentz force term in a single-lid L-shaped cavity exposed to inclined magnetic field, and the flow structure is analyzed in terms of streamline topology under different magnetic field rotations and strengths.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Hanqing Liu, Fajie Wang, Lin Qiu, Cheng Chi
Summary: This paper presents a novel method that combines the singular boundary method with the Loop subdivision surfaces for acoustic simulation of complex structures, overcoming technical challenges in handling boundary nodes.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
