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Research on the refinement algorithm of surface loading deformation based on Green's function
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作者 Chenfeng Li Tengxu Zhang +3 位作者 Peibing Yang Lin He Yu Xia Wei Luan 《Geodesy and Geodynamics》 2025年第2期230-239,共10页
Surface deformation calculations due to environmental loading typically rely on the Preliminary Reference Earth Model(PREM),which assumes a homogeneous and isotropic Earth structure,leading to noticeable errors.To enh... Surface deformation calculations due to environmental loading typically rely on the Preliminary Reference Earth Model(PREM),which assumes a homogeneous and isotropic Earth structure,leading to noticeable errors.To enhance accuracy,the high-precision crustal model CRUST 1.0 is used to refine calculations of regional surface deformation caused by hydrological and non-tidal atmospheric loading.The improved model is applied to 27 Global Navigation Satellite System(GNSS)reference stations in the first phase of the Crustal Movement Observation Network of China(CMONOC),considering their geographical locations.Green's functions are employed to compute surface deformation at each site.Results indicate relative discrepancies of 11.78%and 14.14%for non-tidal atmospheric and hydrological loading compared to PREM,with vertical deformation differences reaching an average of 18.95%.Additionally,the distinct spatial distribution characteristics of the relative differences in each direction indicate that the improved RPREM model is more responsive to the mass variations derived from Gravity Recovery and Climate Experiment(GRACE).The results suggest that the improved PRREM model demonstrates higher sensitivity to loading variations than the PREM model.Utilizing the enhanced method of calculating surface deformation through the utilization of Green's function at the site could effectively reduce the calculation error caused by regional structure,leading to enhanced uniformity and isotropy of PREM. 展开更多
关键词 Loading deformation GNSS green's function PREM GRACE
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Transient analysis of functionally graded curved shells using a nonuniform shape parameter integrated radial basis function approach
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作者 Vay Siu Lo Andrzej Katunin Thien Tich Truong 《Theoretical & Applied Mechanics Letters》 2025年第3期296-308,共13页
In this study,an improved integrated radial basis function with nonuniform shape parameter is introduced.The proposed shape parameter varies in each support domain and is defined byθ=1/d_(max),where d_(max)is the max... In this study,an improved integrated radial basis function with nonuniform shape parameter is introduced.The proposed shape parameter varies in each support domain and is defined byθ=1/d_(max),where d_(max)is the maximum distance of any pair of nodes in the support domain.The proposed method is verified and shows good performance.The results are stable and accurate with any number of nodes and an arbitrary nodal distribution.Notably,the support domain should be large enough to obtain accurate results.This method is then applied for transient analysis of curved shell structures made from functionally graded materials with complex geometries.Through several numerical examples,the accuracy of the proposed approach is demonstrated and discussed.Additionally,the influence of various factors on the dynamic behavior of the structures,including the power-law index,different materials,loading conditions,and geometrical parameters of the structures,was investigated. 展开更多
关键词 Integrated radial basis function Shape parameter functionally graded material Curved shell transient analysis
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Coupling Magneto-Electro-Elastic Multiscale Finite Element Method for Transient Responses of Heterogeneous MEE Structures
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作者 Xiaolin Li Xinyue Li +2 位作者 Liming Zhou Hangran Yang Xiaoqing Yuan 《Computers, Materials & Continua》 2025年第3期3821-3841,共21页
Magneto-electro-elastic(MEE)materials are widely utilized across various fields due to their multi-field coupling effects.Consequently,investigating the coupling behavior of MEE composite materials is of significant i... Magneto-electro-elastic(MEE)materials are widely utilized across various fields due to their multi-field coupling effects.Consequently,investigating the coupling behavior of MEE composite materials is of significant importance.The traditional finite element method(FEM)remains one of the primary approaches for addressing such issues.However,the application of FEM typically necessitates the use of a fine finite element mesh to accurately capture the heterogeneous properties of the materials and meet the required computational precision,which inevitably leads to a reduction in computational efficiency.To enhance the computational accuracy and efficiency of the FEM for heterogeneous multi-field coupling problems,this study presents the coupling magneto-electro-elastic multiscale finite element method(CM-MsFEM)for heterogeneous MEE structures.Unlike the conventional multiscale FEM(MsFEM),the proposed algorithm simultaneously constructs displacement,electric,and magnetic potential multiscale basis functions to address the heterogeneity of the corresponding parameters.The macroscale formulation of CM-MsFEM was derived,and the macroscale/microscale responses of the problems were obtained through up/downscaling calculations.Evaluation using numerical examples analyzing the transient behavior of heterogeneous MEE structures demonstrated that the proposed method outperforms traditional FEM in terms of both accuracy and computational efficiency,making it an appropriate choice for numerically modeling the dynamics of heterogeneous MEE structures. 展开更多
关键词 Multiscale finite element method heterogeneous materials transient responses MAGNETO-ELECTRO-ELASTIC multiscale basis function
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A transient transformation method for pre-screening gRNAs in CRISPR/Cas gene editing
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作者 Jinghui Xu Xiaocui Yan +7 位作者 Yan Yu Hang Zhao Menghan Liu Ye Wang Peng Wang Hongying Duan Xiaoyang Ge Jingjing Zhan 《Journal of Integrative Agriculture》 2025年第11期4451-4455,共5页
Genome editing in plants is a powerful strategy that can substantially advance functional genomics research,facilitating the discovery,enhancement,and development of novel traits with significant agricultural implicat... Genome editing in plants is a powerful strategy that can substantially advance functional genomics research,facilitating the discovery,enhancement,and development of novel traits with significant agricultural implications.Various methodologies,such as zinc finger nucleases(ZFNs),transcription activator-like effector nucleases(TALENs),and CRISPR/Cas systems,have been developed for this purpose. 展开更多
关键词 genome editing transient transformation grnas crispr cas zinc finger nucleases zfns transcription plants functional genomics novel traits
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An isogeometric approach for vibration characteristics analysis of functionally graded triply periodic minimal sandwich curved-doubly shell integrated with magneto-electro surface layers subjected to lowvelocity impact load
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作者 Le Hoai Pham Hoang Tu +1 位作者 Van Ke Tran Nguyen Thi Hue 《Defence Technology(防务技术)》 2025年第8期101-125,共25页
In this paper,the isogeometric analysis(IGA)method is employed to analyze the oscillation characteristics of functionally graded triply periodic minimal surface(FG-TPMS)curved-doubly shells integrated with magneto-ele... In this paper,the isogeometric analysis(IGA)method is employed to analyze the oscillation characteristics of functionally graded triply periodic minimal surface(FG-TPMS)curved-doubly shells integrated with magneto-electric surface layers(referred to as"FG-TPMS-MEE curved-doubly shells")subjected to low-velocity impact loads.This study presents low-velocity impact load model based on a single springmass(S-M)approach.The FG-TPMS-MEE curved-doubly shells are covered with two magneto-electric surface layers,while the core layer consists of three types:I-graph and Wrapped Package-graph(IWP),Gyroid(G),and Primitive(P),with various graded functions.These types are notable for their exceptional stiffness-to-weight ratios,enabling a wide range of potential applications.The Maxwell equations and electromagnetic boundary conditions are applied to compute the change in electric potentials and magnetic potentials.The equilibrium equations of the shell are derived from a refined higher-order shear deformation theory(HSDT),and the transient responses of the FG-TPMS-MEE curveddoubly shells are subsequently determined using Newmark's direct integration method.These results have applications in structural vibration control and the analysis of structures subjected to impact or explosive loads.Furthermore,this study provides a theoretical prediction of the low-velocity impact load and magneto-electric-elastic effects on the free vibration and transient response of FG-TPMS-MEE curved-doubly shells. 展开更多
关键词 IGA approach Free vibration and transient response Magneto-electro-elastic curved-doubly shell Low-velocity impact load functionally graded triply periodic minimal
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Analysis of a Cavity Used for Medical Purposes with the Dyadic Green's Functions and the Moment method
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作者 薛正辉 刘永善 +1 位作者 李德生 王堃 《Journal of Beijing Institute of Technology》 EI CAS 1996年第1期19-26,共8页
The structure of a microwave radiator used for medical purposes is described. The dyadic Green's function and the method are used to analyze this Kind of multimode rectangular medium-filled cavity. The distributio... The structure of a microwave radiator used for medical purposes is described. The dyadic Green's function and the method are used to analyze this Kind of multimode rectangular medium-filled cavity. The distribution of electromagnetic field intensity and the power density,as well as the temperature effect in the biological sample load are obtained.OPtimization of the size of cavity and the position of the input aperture have been performed with the computer to optimize the uniformity or microwave effect and the input VSWR.Necessary experiments were performed to compare the data obtained with theoretical analysis. 展开更多
关键词 microwave therapy apparatus moment problems dyadic green's function
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Numerical Treatments and Applications of the 3D Transient Green Function 被引量:10
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作者 朱仁传 朱海荣 +2 位作者 申亮 缪国平 刘应中 《China Ocean Engineering》 SCIE EI 2007年第4期637-646,共10页
How to evaluate time-domain Green function and its gradients efficiently is the key problem to analyze ship hydrodynamics in time domain. Based on the Bessel function, an Ordinary Differential Equation (ODE) was der... How to evaluate time-domain Green function and its gradients efficiently is the key problem to analyze ship hydrodynamics in time domain. Based on the Bessel function, an Ordinary Differential Equation (ODE) was derived for time-domain Green function and its gradients in this paper. A new efficient calculation method based on solving ODE is proposed. It has been demonstrated by the numerical calculation that this method can improve the precision of the time-domain Green function. Numeiical research indicates that it is efficient to solve the hydrodynamic problems. 展开更多
关键词 transient Green function series expansion asymptotic expression ordinary differential equation hydrodynamis
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Dynamic stiffness matrix of a poroelastic multi-layered site and its Green's functions 被引量:20
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作者 梁建文 尤红兵 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2004年第2期273-282,共10页
Few studies of wave propagation in layered saturated soils have been reported in the literature.In this paper,a general solution of the equation of wave motion in saturated soils,based on one kind of practical Blot... Few studies of wave propagation in layered saturated soils have been reported in the literature.In this paper,a general solution of the equation of wave motion in saturated soils,based on one kind of practical Blot's equation, was deduced by introducing wave potentials.Then exact dynamic-stiffness matrices for a poroelastic soil layer and half- space were derived,which extended Wolf's theory for an elastic layered site to the case of poroelasticity,thus resolving a fundamental problem in the field of wave propagation and soil-structure interaction in a poroelastic layered soil site.By using the integral transform method,Green's functions of horizontal and vertical uniformly distributed loads in a poroelastic layered soil site were given.Finally,the theory was verified by numerical examples and dynamic responses by comparing three different soil sites.This study has the following advantages:all parameters in the dynamic-stiffness matrices have explicitly physical meanings and the thickness of the sub-layers does not affect the precision of the calculation which is very convenient for engineering applications.The present theory can degenerate into Wolf's theory and yields numerical results approaching those for an ideal elastic layered site when porosity tends to zero. 展开更多
关键词 Biot's equation poroelastic layered site dynamic-stiffness matrix green's function
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Hidden Relaxation Channels in Aqueous Methylene Blue after Functionalization of Graphene Oxide Probed by Transient Absorption Spectroscopy
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作者 柯达 隋来志 +5 位作者 刘敦利 王禹苏 李苏宇 姜远飞 陈安民 金明星 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2017年第4期389-394,I0001,共7页
The mixture of graphene oxide (GO) and dye molecules may provide some new applications due to unique electronic, optical, and structural properties. Methylene blue (MB), a typ- ical anionic dye, can attach on GO v... The mixture of graphene oxide (GO) and dye molecules may provide some new applications due to unique electronic, optical, and structural properties. Methylene blue (MB), a typ- ical anionic dye, can attach on GO via π-π stacking and electrostatic interaction, and the molecule removal process on GO has been observed. However, it remains unclear about the ultrafast carrier dynamics and the internal energy transfer pathways of the system which is composed of GO and MB. We have employed ultrafast optical pump-probe spectroscopy to investigate the excited dynamics of the GO-MB system dispersed in water by exciting the samples at 400 nm pump pulse. The pristine MB and GO dynamics are also analyzed in tandem for a direct comparison. Utilizing the global analysis to fit the measured signal via a sequential model, five lifetimes are acquired:(0.61±0.01) ps, (3.52±0.04) ps, (14.1±0.3) ps, (84±2) ps, and (3.66±0.08) ns. The ultrafast dynamics corresponding to these lifetimes was analyzed and the new relaxation processes were found in the GO-MB system, compared with the pristine MB. The results reveal that the functionalization of GO can alter the known decay pathways of MB via the energy transfer from GO to MB in system, the increased intermediate state, and the promoted energy transfer from triplet state MB to ground state oxygen molecules dissolved in aqueous sample. 展开更多
关键词 transient absorption spectroscopy Methylene blue functionalization of graphene oxide Relaxation channels
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A Longitudinal Functional Magnetic Resonance Imaging Study of Working Memory in Patients Following a Transient Ischemic Attack: A Preliminary Study 被引量:3
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作者 Wei Su Jian Guo +6 位作者 Yun Zhang Jie Zhou Ning Chen Muke Zhou Rong Li Huafu Chen Li He 《Neuroscience Bulletin》 SCIE CAS CSCD 2018年第6期963-971,共9页
In this study, we used functional magnetic resonance imaging(fMRI) to investigate longitudinal changes in brain activation during a verbal working memory(VWM) task performed by patients who had experienced a transient... In this study, we used functional magnetic resonance imaging(fMRI) to investigate longitudinal changes in brain activation during a verbal working memory(VWM) task performed by patients who had experienced a transient ischemic attack(TIA). Twenty-five first-ever TIA patients without visible lesions in conventional MRI and 25 healthy volunteers were enrolled. VWM task-related fMRI was conducted 1 week and 3 months post-TIA. The brain activity evoked by the task and changes over time were assessed. We found that, compared with controls, patients exhibited an increased activation in the bilateral inferior frontal gyrus(IFG), right dorsolateral prefrontal cortex(DLPFC), insula, inferior parietal lobe(IPL), and cerebellum during the task performed 1 week post-TIA. But only the right IFG still exhibited an increased activation at 3 months post-TIA. A direct comparison of fMRI data between 1 week and 3 months post-TIA showed greater activation in the bilateral middle temporal gyrus, right DLPFC, IPL, cerebellum, and left IFG in patients at 1 week post-TIA. We conclude that brain activity patterns induced by a VWM task remain dynamic for a period of time after a TIA, despite the cessation of clinical symptoms. Normalization of the VWM activation pattern may be progressively achieved after transient episodes of ischemia in TIA patients. 展开更多
关键词 functional magnetic resonance imaging RECOVERY transient ischemic attack Verbal working memory
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Exact solution and transient behavior for torsional vibration of functionally graded finite hollow cylinders 被引量:2
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作者 H. M. Wang C. B. Liu H. J. Ding 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2009年第4期555-563,共9页
Exact solutions are obtained for transient torsio- nal responses of a finitely long, functionally graded hollow cylinder under three different end conditions, i.e. free-free, free-fixed and fixed-fixed. The cylinder w... Exact solutions are obtained for transient torsio- nal responses of a finitely long, functionally graded hollow cylinder under three different end conditions, i.e. free-free, free-fixed and fixed-fixed. The cylinder with its external surface fixed is subjected to a dynamic shearing stress at the internal surface. The material properties are assumed to vary in the radial direction in a power law form, while keep invariant in the axial direction. With expansion in the axial direction in terms of trigonometric series, the governing equations for the unknown functions about the radial coordinate r and time t are deduced. By applying the variable substitution technique, the superposition method and the separation of variables consecutively, series-form solutions of the equations are obtained. Natural frequencies and the transient torsional responses are finally discussed for a functionally graded finite hollow cylinder. 展开更多
关键词 Exact solution functionally graded material Finite hollow cylinder transient torsional vibration
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Coupling Magneto-Electro-Elastic node-based smoothed radial point interpolation method for free vibration and transient analysis of Functionally Graded Magneto-Electro-Elastic structures 被引量:2
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作者 Liming ZHOU Shuhui REN +2 位作者 Bin NIE Guikai GUO Xiangyang CUI 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2020年第1期227-243,共17页
A Coupling Magneto-Electro-Elastic(MEE)Node-based Smoothed Radial Point Interpolation Method(CM-NS-RPIM)was proposed to solve the free vibration and transient responses of Functionally Graded Magneto-Electro-Elastic(F... A Coupling Magneto-Electro-Elastic(MEE)Node-based Smoothed Radial Point Interpolation Method(CM-NS-RPIM)was proposed to solve the free vibration and transient responses of Functionally Graded Magneto-Electro-Elastic(FGMEE)structures.By introducing the modified Newmark method,the displacement,electrical potential and magnetic potential of the structures under transient mechanical loading were obtained.Based on G space theory and the weakened weak(W2)formulation,the equations of the multi-physics coupling problems were derived.Using triangular background elements,the free vibration and transient responses of three numerical examples were studied.Results proved that CM-NS-RPIM performed better than the standard FEM by reducing the overly-stiff of structures.Moreover,CM-NS-RPIM could reduce the number of nodes while guaranteeing the accuracy.Besides,triangular elements could be generated automatically even for complex geometries.Therefore,the effectiveness and validity of CM-NS-RPIM were demonstrated,which were valuable for the design of intelligence devices,such as energy harvesters and sensors. 展开更多
关键词 COUPLING MAGNETO-ELECTRO-ELASTIC node-based smoothed radial point interpolation method functionally Graded MAGNETO-ELECTRO-ELASTIC Gradient smoothing technique Rayleigh damping transient responses
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Transient Thermal Analysis of a Plate Fin Heat Sink with Green's Function 被引量:2
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作者 SU Xianghui XU Feng 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2011年第3期243-248,共6页
The accurate analyses for a plate fin heat sink with the ability to control the temperature of the avionics devices within a pre-set controllable temperature range are required both in the process of circuit design an... The accurate analyses for a plate fin heat sink with the ability to control the temperature of the avionics devices within a pre-set controllable temperature range are required both in the process of circuit design and for the real-time temperature monitoring purposes. In order to provide an insight into the behavior of the temperature of a plate fin heat sink subjected non-uniform heat density on the surfaces, it is necessary to obtain accurate analytical solutions yielding explicit formulas relating the dissipated power to the temperature rise at any point of avionics devices. This paper presents a method for thermal simulation of a plate fin heat sink using an analytical solution of the three-dimensional heat equation resulting from an appropriate plate fin heat sink transient thermal model. The entire solution methodology is illustrated in detail on the particular examples of the plate fin heat sink subjected non-uniform heat density on the surfaces. The transient temperature profiles are obtained for different positions at the surface of the plate fin heat sink. The analytical results are compared with measurements made on the surface of the cold plate and it is found that they are in good agreement with an error of less than 3 K. 展开更多
关键词 avionics cooling thermal simulation Green's function methods heat sinks multiple heat sources transient heat transfer
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Optimization and standardization of transient expression assays for gene functional analyses in strawberry fruits 被引量:3
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作者 Yaoyao Zhao Wenwen Mao +12 位作者 Yating Chen WeiWang Zhengrong Dai Zhechao Dou Kai Zhang Lingzhi Wei Tianyu Li Baozhen Zeng Ting Liu Yijuan Fan Jiaqi Yan Bingbing Li Wensuo Jia 《Horticulture Research》 SCIE 2019年第1期1043-1055,共13页
Strawberry is increasingly used as a model plant for research on fruit growth and development.The transient gene manipulation(TGM)technique is widely used to determine the function of plant genes,including those in st... Strawberry is increasingly used as a model plant for research on fruit growth and development.The transient gene manipulation(TGM)technique is widely used to determine the function of plant genes,including those in strawberry fruits.However,its reliable application for the precise identification of gene function has been difficult owing to the lack of conditional optimization.In this study,we found that successful transient gene manipulation requires optimization,with the vector type,temperature,and fruit developmental stage being three major factors determining success.Notably,we found that transient gene manipulation was feasible only from the large green fruit stage onwards,making it especially suitable for identifying genes involved in strawberry fruit ripening.Furthermore,we established a method called percentage difference of phenotype(PDP),in which the functional effect of a gene could be precisely and efficiently identified in strawberry fruits.This method can be used to estimate the functional effect of a gene as a value from 0 to 100%,such that different genes can be quantitatively compared for their relative abilities to regulate fruit ripening.This study provides a useful tool for accelerating research on the molecular basis of strawberry fruit ripening. 展开更多
关键词 STRAW transient functionAL
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NONLINEAR TRANSIENT RESPONSE OF FUNCTIONALLY GRADED SHALLOW SPHERICAL SHELLS SUBJECTED TO MECHANICAL LOAD AND UNSTEADY TEMPERATURE FIELD 被引量:2
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作者 Yiming Fu Sumin Hu Yiqi Mao 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2014年第5期496-508,共13页
This paper is concerned with the transient deformation of functionally graded (FG) shallow spherical shells subjected to time-dependent thermomechanical load. Based on Timoshenko- Mindlin hypothesis and yon Karman n... This paper is concerned with the transient deformation of functionally graded (FG) shallow spherical shells subjected to time-dependent thermomechanical load. Based on Timoshenko- Mindlin hypothesis and yon Karman nonlinear theory, a set of nonlinear governing equations of motion for FG shallow spherical shells in regard to transverse shear deformation and all the inertia terms are established using Hamilton's principle. The collocation point method and Newmark- beta scheme in conjunction with the finite difference method are adopted to solve the governing equations of motion and the unsteady heat conduction equation numerically. In the numerical examples, the transient deflection and stresses of FG shallow spherical shells with various material properties under different loading conditions are presented. 展开更多
关键词 functionally graded materials unsteady temperature field transient deflection andstresses
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Solutions of Green's function for Lamb's problem of a two-phase saturated medium 被引量:3
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作者 Boyang Ding,and Jun Chen College of Civil Engineering and Architecture,Zhejiang University of Technology,Hangzhou 310014,China 《Theoretical & Applied Mechanics Letters》 CAS 2011年第5期55-59,共5页
The solutions of Green’s function are significant for simplification of problem on a two-phase saturated medium.Using transformation of axisymmetric cylindrical coordinate and Sommerfeld’s integral,superposition of ... The solutions of Green’s function are significant for simplification of problem on a two-phase saturated medium.Using transformation of axisymmetric cylindrical coordinate and Sommerfeld’s integral,superposition of the influence field on a free surface,authors obtained the solutions of a two-phase saturated medium subjected to a concentrated force on the semi-space. 展开更多
关键词 green's function two-phase saturated medium Lamb's problem
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Influence of porosity distribution on nonlinear free vibration and transient responses of porous functionally graded skew plates 被引量:5
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作者 Naveen Kumar H S Subhaschandra Kattimani TNguyen-Thoi 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第6期1918-1935,共18页
This article deals with the investigation of the effects of porosity distributions on nonlinear free vibration and transient analysis of porous functionally graded skew(PFGS)plates.The effective material properties of... This article deals with the investigation of the effects of porosity distributions on nonlinear free vibration and transient analysis of porous functionally graded skew(PFGS)plates.The effective material properties of the PFGS plates are obtained from the modified power-law equations in which gradation varies through the thickness of the PFGS plate.A nonlinear finite element(FE)formulation for the overall PFGS plate is derived by adopting first-order shear deformation theory(FSDT)in conjunction with von Karman’s nonlinear strain displacement relations.The governing equations of the PFGS plate are derived using the principle of virtual work.The direct iterative method and Newmark’s integration technique are espoused to solve nonlinear mathematical relations.The influences of the porosity distributions and porosity parameter indices on the nonlinear frequency responses of the PFGS plate for different skew angles are studied in various parameters.The effects of volume fraction grading index and skew angle on the plate’s nonlinear dynamic responses for various porosity distributions are illustrated in detail. 展开更多
关键词 Porous functionally graded skew plates Porosity distributions Nonlinear transient response Nonlinear frequency ratio Nonlinear frequency parameter
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Nonlinear Transient Response of Functionally Graded Material Sandwich Doubly Curved Shallow Shell Using New Displacement Field 被引量:2
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作者 Z.N.Li Y.X.Hao +1 位作者 W.Zhang J.H.Zhang 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2018年第1期108-126,共19页
In this paper, the nonlinear transient dynamic response of functionally graded material (FGM) sandwich doubly curved shell with homogenous isotropic material core and functionally graded face sheet is analyzed using... In this paper, the nonlinear transient dynamic response of functionally graded material (FGM) sandwich doubly curved shell with homogenous isotropic material core and functionally graded face sheet is analyzed using a new displacement field on the basis of Reddy's third-order shear theory for the first time. The equivalent material properties for the FGM face sheet are assumed to obey the rule of simple power law function in the thickness direction. Based on Reddy's theory of higher shear deformation, a new displacement field is developed by introducing the secant function into transverse displacement. Four coupled nonlinear differential equations are obtained by applying Hamilton's principle and Galerkin method. It is assumed that the FGM sandwich doubly curved shell is subjected to step loading, air-blast loading, triangular loading, and sinusoidal loading, respectively. On the basis of double-precision variable- coefficient ordinary differential equation solver, a new program code in FORTRAN software is developed to solve the nonlinear transient dynamics of the system. The influences of core thickness, volume fraction, core-to-face sheet thickness ratio, width-to-thickness ratio and blast type on the transient response of the shell are discussed in detail through numerical simulation. 展开更多
关键词 New displacement fields functionally graded materials Sandwich doubly curvedshell Blast load Nonlinear transient response
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Hybrid graded element model for transient heat conduction in functionally graded materials 被引量:4
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作者 Lei-Lei Cao Qing-Hua Qin Ning Zhao 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第1期128-139,共12页
This paper presents a hybrid graded element model for the transient heat conduction problem in functionally graded materials (FGMs). First, a Laplace transform approach is used to handle the time variable. Then, a f... This paper presents a hybrid graded element model for the transient heat conduction problem in functionally graded materials (FGMs). First, a Laplace transform approach is used to handle the time variable. Then, a fundamental solution in Laplace space for FGMs is constructed. Next, a hybrid graded element is formulated based on the obtained fundamental solution and a frame field. As a result, the graded properties of FGMs are naturally reflected by using the fundamental solution to interpolate the intra-element field. Further, Stefest's algorithm is employed to convert the results in Laplace space back into the time-space domain. Finally, the performance of the proposed method is assessed by several benchmark examples. The results demonstrate well the efficiency and accuracy of the proposed method. 展开更多
关键词 Graded element model functionally graded materials Hybrid FEM transient heat conduction
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Lattice Green's Function for Infinite Square Lattice in the Second Nearest-Neighbour Interaction Approximation 被引量:1
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作者 FAN Hong-Yi LIN Jing-Xian 《Communications in Theoretical Physics》 SCIE CAS CSCD 2001年第11期541-546,共6页
In dealing with the square lattice model,we replace the traditionally needed Born-Von Karmann periodic boundary condition with additional Hamiltonian terms to make up a ring lattice.In doing so,the lattice Green's... In dealing with the square lattice model,we replace the traditionally needed Born-Von Karmann periodic boundary condition with additional Hamiltonian terms to make up a ring lattice.In doing so,the lattice Green's function of an infinite square lattice in the second nearest-neighbour interaction approximation can be derived by means of the matrix Green's function method.It is shown that the density of states may change when the second nearest-neighbour interaction is turned on. 展开更多
关键词 matrix green's function method the SECOND NEAREST-NEIGHBOUR INTERACTION
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