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Multi-Scale Analysis of Fretting Fatigue in Heterogeneous Materials Using Computational Homogenization
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作者 Dimitra Papagianni Magd Abdel Wahab 《Computers, Materials & Continua》 SCIE EI 2020年第1期79-97,共19页
This paper deals with modeling of the phenomenon of fretting fatigue in heterogeneous materials using the multi-scale computational homogenization technique and finite element analysis(FEA).The heterogeneous material ... This paper deals with modeling of the phenomenon of fretting fatigue in heterogeneous materials using the multi-scale computational homogenization technique and finite element analysis(FEA).The heterogeneous material for the specimens consists of a single hole model(25% void/cell,16% void/cell and 10% void/cell)and a four-hole model(25%void/cell).Using a representative volume element(RVE),we try to produce the equivalent homogenized properties and work on a homogeneous specimen for the study of fretting fatigue.Next,the fretting fatigue contact problem is performed for 3 new cases of models that consist of a homogeneous and a heterogeneous part(single hole cell)in the contact area.The aim is to analyze the normal and shear stresses of these models and compare them with the results of the corresponding heterogeneous models based on the Direct Numerical Simulation(DNS)method.Finally,by comparing the computational time and%deviations,we draw conclusions about the reliability and effectiveness of the proposed method. 展开更多
关键词 Fretting fatigue multi-scale analysis computational homogenization heterogeneous materials stress analysis finite element analysis
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A Deep Collocation Method for the Bending Analysis of Kirchhoff Plate 被引量:54
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作者 Hongwei Guo Xiaoying Zhuang Timon Rabczuk 《Computers, Materials & Continua》 SCIE EI 2019年第5期433-456,共24页
In this paper,a deep collocation method(DCM)for thin plate bending problems is proposed.This method takes advantage of computational graphs and backpropagation algorithms involved in deep learning.Besides,the proposed... In this paper,a deep collocation method(DCM)for thin plate bending problems is proposed.This method takes advantage of computational graphs and backpropagation algorithms involved in deep learning.Besides,the proposed DCM is based on a feedforward deep neural network(DNN)and differs from most previous applications of deep learning for mechanical problems.First,batches of randomly distributed collocation points are initially generated inside the domain and along the boundaries.A loss function is built with the aim that the governing partial differential equations(PDEs)of Kirchhoff plate bending problems,and the boundary/initial conditions are minimised at those collocation points.A combination of optimizers is adopted in the backpropagation process to minimize the loss function so as to obtain the optimal hyperparameters.In Kirchhoff plate bending problems,the C^1 continuity requirement poses significant difficulties in traditional mesh-based methods.This can be solved by the proposed DCM,which uses a deep neural network to approximate the continuous transversal deflection,and is proved to be suitable to the bending analysis of Kirchhoff plate of various geometries. 展开更多
关键词 Deep learning collocation method Kirchhoff plate higher-order PDEs
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The Prediction of Self-Healing Capacity of Bacteria-Based Concrete Using Machine Learning Approaches 被引量:6
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作者 Xiaoying Zhuang Shuai Zhou 《Computers, Materials & Continua》 SCIE EI 2019年第4期57-77,共21页
Advances in machine learning(ML)methods are important in industrial engineering and attract great attention in recent years.However,a comprehensive comparative study of the most advanced ML algorithms is lacking.Six i... Advances in machine learning(ML)methods are important in industrial engineering and attract great attention in recent years.However,a comprehensive comparative study of the most advanced ML algorithms is lacking.Six integrated ML approaches for the crack repairing capacity of the bacteria-based self-healing concrete are proposed and compared.Six ML algorithms,including the Support Vector Regression(SVR),Decision Tree Regression(DTR),Gradient Boosting Regression(GBR),Artificial Neural Network(ANN),Bayesian Ridge Regression(BRR)and Kernel Ridge Regression(KRR),are adopted for the relationship modeling to predict crack closure percentage(CCP).Particle Swarm Optimization(PSO)is used for the hyper-parameters tuning.The importance of parameters is analyzed.It is demonstrated that integrated ML approaches have great potential to predict the CCP,and PSO is efficient in the hyperparameter tuning.This research provides useful information for the design of the bacteria-based self-healing concrete and can contribute to the design in the rest of industrial engineering. 展开更多
关键词 BACTERIA self-healing concrete crack closure percentage machine learning PREDICTION
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Determination of the Normal Contact Stiffness and Integration Time Step for the Finite Element Modeling of Bristle-Surface Interaction 被引量:4
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作者 Libardo V.Vanegas-Useche Magd M.Abdel-Wahab Graham A.Parker 《Computers, Materials & Continua》 SCIE EI 2018年第7期169-184,共16页
In finite element modeling of impact,it is necessary to define appropriate values of the normal contact stiffness,Kn,and the Integration Time Step(ITS).Because impacts are usually of very short duration,very small ITS... In finite element modeling of impact,it is necessary to define appropriate values of the normal contact stiffness,Kn,and the Integration Time Step(ITS).Because impacts are usually of very short duration,very small ITSs are required.Moreover,the selection of a suitable value of Kn is a critical issue,as the impact behavior depends dramatically on this parameter.In this work,a number of experimental tests and finite element analyses have been performed in order to obtain an appropriate value of Kn for the interaction between a bristle of a gutter brush for road sweeping and a concrete surface.Furthermore,a suitable ITS is determined.The experiments consist of releasing a steel bristle that is placed vertically at a certain distance from a concrete surface and tracking the impact.Similarly,in the finite element analyses,a beam is modeled in free fall and impacting a surface;contact and target elements are attached to the beam and the surface,respectively.The results of the experiments and the modeling are integrated through the principle of conservation of energy,the principle of linear impulse and momentum,and Newton’s second law.The results demonstrate that,for the case studied,Kn and the impact time tend to be independent of the velocity just before impact and that Kn has a very large variation,as concrete is a composite material with a rough surface.Also,the ratio between the largest height of the bristle after impact and the initial height tends to be constant. 展开更多
关键词 BRUSH street sweeping finite element modeling contact mechanics
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Characterization of Loading Rate Effects on the Interactions Between Crack Growth and Inclusions in Cementitious Material 被引量:2
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作者 Shuai Zhou Xiaoying Zhuang 《Computers, Materials & Continua》 SCIE EI 2018年第12期417-446,共30页
The microcapsule-enabled cementitious material is an appealing building material and it has been attracting increasing research interest.By considering microcapsules as dissimilar inclusions in the material,this paper... The microcapsule-enabled cementitious material is an appealing building material and it has been attracting increasing research interest.By considering microcapsules as dissimilar inclusions in the material,this paper employs the discrete element method(DEM)to study the effects of loading rates on the fracturing behavior of cementitious specimens containing the inclusion and the crack.The numerical model was first developed and validated based on experimental results.It is then used to systematically study the initiation,the propagation and the coalescence of cracks in inclusion-enabled cementitious materials.The study reveals that the crack propagation speed,the first crack initiation stress,the coalescence stress,the compressive strength and the ultimate strain increase with the loading rate.The initiation position,the propagation direction,the cracking length and the type of the initiated cracks are influenced by the loading rates.Two new crack coalescence patterns are observed.It is easier to cause the coalescence between the circular void and a propagating crack at a slow loading rate than at a fast loading rate. 展开更多
关键词 MICROCAPSULE loading rate cracking processes DEM compressive loading
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Three-Dimensional Isogeometric Analysis of Flexoelectricity with MATLAB Implementation 被引量:2
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作者 Hamid Ghasemi Harold S.Park +1 位作者 Xiaoying Zhuang Timon Rabczuk 《Computers, Materials & Continua》 SCIE EI 2020年第11期1157-1179,共23页
Flexoelectricity is a general electromechanical phenomenon where the electric polarization exhibits a linear dependency to the gradient of mechanical strain and vice versa.The truncated pyramid compression test is amo... Flexoelectricity is a general electromechanical phenomenon where the electric polarization exhibits a linear dependency to the gradient of mechanical strain and vice versa.The truncated pyramid compression test is among the most common setups to estimate the flexoelectric effect.We present a three-dimensional isogeometric formulation of flexoelectricity with its MATLAB implementation for a truncated pyramid setup.Besides educational purposes,this paper presents a precise computational model to illustrate how the localization of strain gradients around pyramidal boundary shapes contributes in generation of electrical energy.The MATLAB code is supposed to help learners in the Isogeometric Analysis and Finite Elements Methods community to learn how to solve a fully coupled problem,which requires higher order approximations,numerically.The complete MATLAB code which is available as source code distributed under a BSD-style license,is provided in the part of Supplementary Materials of the paper. 展开更多
关键词 FLEXOELECTRICITY Isogeometric Analysis(IGA) MATLAB B-spline elements finite elements coupled electromechanical problem
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Aspects of Fretting Fatigue Finite Element Modelling 被引量:1
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作者 Kyvia Pereira Libardo VVanegas-Useche Magd Abdel Wahab 《Computers, Materials & Continua》 SCIE EI 2020年第7期97-144,共48页
Fretting fatigue is a type of failure that may affect various mechanical components,such as bolted or dovetail joints,press-fitted shafts,couplings,and ropes.Due to its importance,many researchers have carried out exp... Fretting fatigue is a type of failure that may affect various mechanical components,such as bolted or dovetail joints,press-fitted shafts,couplings,and ropes.Due to its importance,many researchers have carried out experimental tests and analytical and numerical modelling,so that the phenomena that govern the failure process can be understood or appropriately modelled.Consequently,the performance of systems subjected to fretting fatigue can be predicted and improved.This paper discusses different aspects related to the finite element modelling of fretting fatigue.It presents common experimental configurations and the analytical solutions for cylindrical contact.Then,it discusses aspects of fretting fatigue crack initiation,such as crack location,orientation,and length,as well as stress averaging approaches.Then,it deals with the propagation stage;crack face interaction,orientation criteria,and crack growth rate are discussed.Lastly,additional aspects of recent research on fretting fatigue are reviewed:out-of-phase loading,cohesive zone modelling,wear effects,heterogeneity,and crystal orientation.Fretting fatigue is a phenomenon not well understood,and much more research is needed so that its understanding is increased and proper criteria and laws may be available for different cases. 展开更多
关键词 Fretting fatigue FEM MODELLING crack initiation crack growth
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Numerical Analysis of Tilted Cutting and F128 Brushes
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作者 Libardo V.Vanegas-Useche Magd M.Abdel-Wahab Graham A.Parker 《Computer Modeling in Engineering & Sciences》 SCIE EI 2019年第10期23-47,共25页
Road sweeping is an essential service that has to be conducted for public health,as well as aesthetic purposes.In many countries,sweeping vehicles are used for this activity.They usually comprise a gutter brush that s... Road sweeping is an essential service that has to be conducted for public health,as well as aesthetic purposes.In many countries,sweeping vehicles are used for this activity.They usually comprise a gutter brush that sweeps the debris that is located in the road gutter.This work studies the performance of two kinds of gutter brushes:a cutting brush and a flicking(F128)brush.This is carried out by means of a 3-D dynamic,nonlinear Finite Element(FE)brush model developed by the authors.In this model,inertia forces are applied to the bristle,and its clamped end is fixed.Consequently,the surface(road)is rotated,translated,and raised.Bristle-road interaction is modelled as flexible-to-rigid contact.In particular,the aim of this article is to compare the performance of a conventional brush and a brush rotating at variable speed.As brushes normally work tilted,FE analyses are carried out for tilted cutting and F128 brushes,rotating at speeds that fluctuate at different frequencies.It is concluded that brush oscillations have a significant effect on bristle tip velocities and bristle-road forces.Also,at certain frequencies,oscillations seem to improve sweeping performance of the F128 brush.However,they do not appear to improve significantly the performance of the cutting brush. 展开更多
关键词 GUTTER BRUSHES CUTTING BRUSH flicking BRUSH FEM variable speed BRUSHING
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The Effect of Surface Pit Treatment on Fretting Fatigue Crack Initiation
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作者 Qingming Deng Xiaochun Yin Magd Abdel Wahab 《Computers, Materials & Continua》 SCIE EI 2021年第1期659-673,共15页
This paper analyses the effect of surface treatment on fretting fatigue specimen by numerical simulations using Finite Element Analysis.The processed specimen refers to artificially adding a cylindrical pit to its con... This paper analyses the effect of surface treatment on fretting fatigue specimen by numerical simulations using Finite Element Analysis.The processed specimen refers to artificially adding a cylindrical pit to its contact surface.Then,the contact radius between the pad and the specimen is controlled by adjusting the radius of the pit.The stress distribution and slip amplitude of the contact surface under different contact geometries are compared.The critical plane approach is used to predict the crack initiation life and to evaluate the effect of processed specimen on its fretting fatigue performance.Both crack initiation life and angle can be predicted by the critical plane approach.Ruiz parameter is used to consider the effect of contact slip.It is shown that the crack initial position is dependent on the tensile stress.For same type of model,three kinds of critical plane parameters and Ruiz method provide very similar position of crack initiation.Moreover,the improved sample is much safer than the flat-specimen. 展开更多
关键词 Finite element analysis surface pit stress distribution fretting fatigue critical plane approach
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Multiscale Analysis of the Effect of Debris on Fretting Wear Process Using a Semi-Concurrent Method
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作者 Shengjie Wang Tongyan Yue Magd Abdel Wahab 《Computers, Materials & Continua》 SCIE EI 2020年第1期17-35,共19页
Fretting wear is a phenomenon,in which wear happens between two oscillatory moving contact surfaces in microscale amplitude.In this paper,the effect of debris between pad and specimen is analyzed by using a semi-concu... Fretting wear is a phenomenon,in which wear happens between two oscillatory moving contact surfaces in microscale amplitude.In this paper,the effect of debris between pad and specimen is analyzed by using a semi-concurrent multiscale method.Firstly,the macroscale fretting wear model is performed.Secondly,the part with the wear profile is imported from the macroscale model to a microscale model after running in stage.Thirdly,an effective pad’s radius is extracted by analyzing the contact pressure in order to take into account the effect of the debris.Finally,the effective radius is up-scaled from the microscale model to the macroscale model,which is used after running in stage.In this way,the effect of debris is considered by changing the radius of the pad in the macroscale model.Due to the smaller number of elements in the microscale model compared with the macroscale model containing the debris layer,the semi-concurrent method proposed in this paper is more computationally efficient.Moreover,the results of this semi-concurrent method show a better agreement with experimental data,compared to the results of the model ignoring the effect of debris. 展开更多
关键词 Fretting wear DEBRIS multiscale analysis semi-concurrent
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Three-Dimensional Meshfree Analysis of Interlocking Concrete Blocks for Step Seawall Structure
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作者 Hau Nguyen-Ngoc HNguyen-Xuan Magd Abdel-Wahab 《Computers, Materials & Continua》 SCIE EI 2021年第1期165-178,共14页
This study adapts the flexible characteristic of meshfree method in analyzing three-dimensional(3D)complex geometry structures,which are the interlocking concrete blocks of step seawall.The elastostatic behavior of th... This study adapts the flexible characteristic of meshfree method in analyzing three-dimensional(3D)complex geometry structures,which are the interlocking concrete blocks of step seawall.The elastostatic behavior of the block is analysed by solving the Galerkin weak form formulation over local support domain.The 3D moving least square(MLS)approximation is applied to build the interpolation functions of unknowns.The pre-defined number of nodes in an integration domain ranging from 10 to 60 nodes is also investigated for their effect on the studied results.The accuracy and efficiency of the studied method on 3D elastostatic responses are validated through the comparison with the solutions of standard finite element method(FEM)using linear shape functions on tetrahedral elements and the well-known commercial software,ANSYS.The results show that elastostatic responses of studied concrete block obtained by meshfree method converge faster and are more accurate than those of standard FEM.The studied meshfree method is effective in the analysis of static responses of complex geometry structures.The amount of discretised nodes within the integration domain used in building MLS shape functions should be in the range from 30 to 60 nodes and should not be less than 20 nodes. 展开更多
关键词 Meshfree method local support domain moving least square shape function 3D elastostatic behavior complex geometry
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Predicting the Electronic and Structural Properties of Two-Dimensional Materials Using Machine Learning
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作者 Ehsan Alibagheri Bohayra Mortazavi Timon Rabczuk 《Computers, Materials & Continua》 SCIE EI 2021年第4期1287-1300,共14页
Machine-learning(ML)models are novel and robust tools to establish structure-to-property connection on the basis of computationally expensive ab-initio datasets.For advanced technologies,predicting novel materials and... Machine-learning(ML)models are novel and robust tools to establish structure-to-property connection on the basis of computationally expensive ab-initio datasets.For advanced technologies,predicting novel materials and identifying their specification are critical issues.Two-dimensional(2D)materials are currently a rapidly growing class which show highly desirable properties for diverse advanced technologies.In this work,our objective is to search for desirable properties,such as the electronic band gap and total energy,among others,for which the accelerated prediction is highly appealing,prior to conducting accurate theoretical and experimental investigations.Among all available componential methods,gradient-boosted(GB)ML algorithms are known to provide highly accurate predictions and have shown great potential to predict material properties based on the importance of features.In this work,we applied the GB algorithm to a dataset of electronic and structural properties of 2D materials in order to predict the specification with high accuracy.Conducted statistical analysis of the selected features identifies design guidelines for the discovery of novel 2D materials with desired properties. 展开更多
关键词 2D materials MACHINE-LEARNING gradient-boosted band gap
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Review on the Prediction of Residual Stress in Welded Steel Components
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作者 Junyan Ni Xincun Zhuang Magd Abdel Wahab 《Computers, Materials & Continua》 SCIE EI 2020年第2期495-523,共29页
Residual stress after welding has negative effects on the service life of welded steel components or structures.This work reviews three most commonly used methods for predicting residual stress,namely,empirical,semi-e... Residual stress after welding has negative effects on the service life of welded steel components or structures.This work reviews three most commonly used methods for predicting residual stress,namely,empirical,semi-empirical and process simulation methods.Basic principles adopted by these methods are introduced.The features and limitations of each method are discussed as well.The empirical method is the most practical but its accuracy relies heavily on experiments.Mechanical theories are employed in the semi-empirical method,while other aspects,such as temperature variation and phase transformation,are simply ignored.The process simulation method has been widely used due to its capability of handling with large and complex components.To improve its accuracy and efficiency,several improvements need to be done for each simulation aspect of this method. 展开更多
关键词 Computational simulation STEEL WELDING residual stress
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A Systematic Molecular Dynamics Investigation on the Graphene Polymer Nanocomposites for Bulletproofing
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作者 Hamidreza Noori Zi Goangseup +5 位作者 Bohayra Mortazavi Alessandro Di Pierro Emad Jomehzadeh Xiaoying Zhuang Kim Sang-Hyun Timon Rabczuk 《Computers, Materials & Continua》 SCIE EI 2020年第12期2009-2032,共24页
In modern physics and fabrication technology,simulation of projectile and target collision is vital to improve design in some critical applications,like;bulletproofing and medical applications.Graphene,the most promin... In modern physics and fabrication technology,simulation of projectile and target collision is vital to improve design in some critical applications,like;bulletproofing and medical applications.Graphene,the most prominent member of two dimensional materials presents ultrahigh tensile strength and stiffness.Moreover,polydimethylsiloxane(PDMS)is one of the most important elastomeric materials with a high extensive application area,ranging from medical,fabric,and interface material.In this work we considered graphene/PDMS structures to explore the bullet resistance of resulting nanocomposites.To this aim,extensive molecular dynamic simulations were carried out to identify the penetration of bullet through the graphene and PDMS composite structures.In this paper,we simulate the impact of a diamond bullet with different velocities on the composites made of single-or bi-layer graphene placed in different positions of PDMS polymers.The underlying mechanism concerning how the PDMS improves the resistance of graphene against impact loading is discussed.We discuss that with the same content of graphene,placing the graphene in between the PDMS result in enhanced bullet resistance.This work comparatively examines the enhancement in design of polymer nanocomposites to improve their bulletproofing response and the obtained results may serve as valuable guide for future experimental and theoretical studies. 展开更多
关键词 GRAPHENE NANOCOMPOSITES bulletproofing IMPACT PDMS
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A Smoothed Finite Element Method for the Static and Free Vibration Analysis of Shells
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作者 Nhon Nguyen-Thanh Chien Thai-Hoang +1 位作者 Hung Nguyen-Xuan Timon Rabczuk 《Journal of Civil Engineering and Architecture》 2010年第9期13-25,共13页
关键词 自由振动分析 有限元法 壳结构 MINDLIN 光滑 边界条件 板弯曲 混合插值
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A Nonlocal Operator Method for Partial Differential Equations with Application to Electromagnetic Waveguide Problem 被引量:29
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作者 Timon Rabczuk Huilong Ren Xiaoying Zhuang 《Computers, Materials & Continua》 SCIE EI 2019年第4期31-55,共25页
A novel nonlocal operator theory based on the variational principle is proposed for the solution of partial differential equations.Common differential operators as well as the variational forms are defined within the ... A novel nonlocal operator theory based on the variational principle is proposed for the solution of partial differential equations.Common differential operators as well as the variational forms are defined within the context of nonlocal operators.The present nonlocal formulation allows the assembling of the tangent stiffness matrix with ease and simplicity,which is necessary for the eigenvalue analysis such as the waveguide problem.The present formulation is applied to solve the differential electromagnetic vector wave equations based on electric fields.The governing equations are converted into nonlocal integral form.An hourglass energy functional is introduced for the elimination of zeroenergy modes.Finally,the proposed method is validated by testing three classical benchmark problems. 展开更多
关键词 Nonlocal operator method Variational principle Nonlocal operators Hourglass mode
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A Dual-Support Smoothed Particle Hydrodynamics for Weakly Compressible Fluid Inspired By the Dual-Horizon Peridynamics 被引量:4
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作者 Huilong Ren Xiaoying Zhuang Timon Rabczuk 《Computer Modeling in Engineering & Sciences》 SCIE EI 2019年第11期353-383,共31页
A dual-support smoothed particle hydrodynamics(DS-SPH)that allows variable smoothing lengths while satisfying the conservations of linear momentum,angular momentum and energy is developed.The present DS-SPH is inspire... A dual-support smoothed particle hydrodynamics(DS-SPH)that allows variable smoothing lengths while satisfying the conservations of linear momentum,angular momentum and energy is developed.The present DS-SPH is inspired by the dual-support,a concept introduced from dual-horizon peridynamics from the authors and applied here to SPH so that the unbalanced interactions between the particles with different smoothing lengths can be correctly considered and computed.Conventionally,the SPH formulation employs either the influence domain or the support domain.The concept of dual-support identifies that the influence domain and the support domain involves the duality and should be simultaneously in the SPH formulation when variable smoothing lengths are used.The DS-SPH formulation can be implemented into conventional SPH codes with minimal changes and also without compromising the computational efficiency.A number of numerical examples involving weakly compressible.fluid are presented to demonstrate the capability of the method. 展开更多
关键词 Dual-support conservation law variable smoothing length DUALITY SPH dual-horizon peridynamics
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A Review on Fretting Wear Mechanisms,Models and Numerical Analyses 被引量:1
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作者 Tongyan Yue Magd Abdel Wahab 《Computers, Materials & Continua》 SCIE EI 2019年第5期405-432,共28页
Fretting wear is a material damage in contact surfaces due to micro relative displacement between them.It causes some general problems in industrial applications,such as loosening of fasteners or sticking in component... Fretting wear is a material damage in contact surfaces due to micro relative displacement between them.It causes some general problems in industrial applications,such as loosening of fasteners or sticking in components supposed to move relative to each other.Fretting wear is a complicated problem involving material properties of tribosystem and working conditions of them.Due to these various factors,researchers have studied the process of fretting wear by experiments and numerical modelling methods.This paper reviews recent literature on the numerical modelling method of fretting wear.After a briefly introduction on the mechanism of fretting wear,numerical models,which are critical issues for fretting wear modelling,are reviewed.The paper is concluded by highlighting possible research topics for future work. 展开更多
关键词 Fretting wear wear models wear mechanisms numerical modelling
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Stabilization for Equal-Order Polygonal Finite Element Method for High Fluid Velocity and Pressure Gradient 被引量:1
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作者 T.Vu-Huu C.Le-Thanh +1 位作者 H.Nguyen-Xuan M.Abdel-Wahab 《Computers, Materials & Continua》 SCIE EI 2020年第3期1109-1123,共15页
This paper presents an adapted stabilisation method for the equal-order mixed scheme of finite elements on convex polygonal meshes to analyse the high velocity and pressure gradient of incompressible fluid flows that ... This paper presents an adapted stabilisation method for the equal-order mixed scheme of finite elements on convex polygonal meshes to analyse the high velocity and pressure gradient of incompressible fluid flows that are governed by Stokes equations system.This technique is constructed by a local pressure projection which is extremely simple,yet effective,to eliminate the poor or even non-convergence as well as the instability of equal-order mixed polygonal technique.In this research,some numerical examples of incompressible Stokes fluid flow that is coded and programmed by MATLAB will be presented to examine the effectiveness of the proposed stabilised method. 展开更多
关键词 Polygonal finite element method fluid computation stokes equation mixed method local projection
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A Size-Dependent Functionally Graded Higher Order Plate Analysis Based on Modified Couple Stress Theory and Moving Kriging Meshfree Method 被引量:1
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作者 T.D.Tran Chien H.Thai H.Nguyen-Xuan 《Computers, Materials & Continua》 SCIE EI 2018年第12期447-483,共37页
A size-dependent computational approach for bending,free vibration and buckling analyses of isotropic and sandwich functionally graded(FG)microplates is in this study presented.We consider both shear deformation and s... A size-dependent computational approach for bending,free vibration and buckling analyses of isotropic and sandwich functionally graded(FG)microplates is in this study presented.We consider both shear deformation and small scale effects through the generalized higher order shear deformation theory and modified couple stress theory(MCST).The present model only retains a single material length scale parameter for capturing properly size effects.A rule of mixture is used to model material properties varying through the thickness of plates.The principle of virtual work is used to derive the discrete system equations which are approximated by moving Kriging interpolation(MKI)meshfree method.Numerical examples consider the inclusions of geometrical parameters,volume fraction,boundary conditions and material length scale parameter.Reliability and effectiveness of the present method are confirmed through numerical results. 展开更多
关键词 Modified couple stress theory isotropic and sandwich FGM plates moving Kriging meshfree method
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