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Survivors of COVID-19 exhibit altered amplitudes of low frequency fluctuation in the brain: a resting-state functional magnetic resonance imaging study at 1-year follow-up 被引量:2
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作者 Yan-Yao Du Wei Zhao +13 位作者 Xiang-Lin Zhou Mu Zeng Dan-Hui Yang Xing-Zhi Xie Si-Hong Huang Ying-Jia Jiang Wen-Han Yang Hu Guo Hui Sun Ji-Yang Liu Ping Liu Zhi-Guo Zhou Hong Luo Jun Liu 《Neural Regeneration Research》 SCIE CAS CSCD 2022年第7期1576-1581,共6页
Although some short-term follow-up studies have found that individuals recovering from coronavirus disease 2019(COVID-19)exhibit anxiety,depression,and altered brain microstructure,their long-term physical problems,ne... Although some short-term follow-up studies have found that individuals recovering from coronavirus disease 2019(COVID-19)exhibit anxiety,depression,and altered brain microstructure,their long-term physical problems,neuropsychiatric sequelae,and changes in brain function remain unknown.This observational cohort study collected 1-year follow-up data from 22 patients who had been hospitalized with COVID-19(8 males and 11 females,aged 54.2±8.7 years).Fatigue and myalgia were persistent symptoms at the 1-year follow-up.The resting state functional magnetic resonance imaging revealed that compared with 29 healthy controls(7 males and 18 females,aged 50.5±11.6 years),COVID-19 survivors had greatly increased amplitude of low-frequency fluctuation(ALFF)values in the left precentral gyrus,middle frontal gyrus,inferior frontal gyrus of operculum,inferior frontal gyrus of triangle,insula,hippocampus,parahippocampal gyrus,fusiform gyrus,postcentral gyrus,inferior parietal angular gyrus,supramarginal gyrus,angular gyrus,thalamus,middle temporal gyrus,inferior temporal gyrus,caudate,and putamen.ALFF values in the left caudate of the COVID-19 survivors were positively correlated with their Athens Insomnia Scale scores,and those in the left precentral gyrus were positively correlated with neutrophil count during hospitalization.The long-term follow-up results suggest that the ALFF in brain regions related to mood and sleep regulation were altered in COVID-19 survivors.This can help us understand the neurobiological mechanisms of COVID-19-related neuropsychiatric sequelae.This study was approved by the Ethics Committee of the Second Xiangya Hospital of Central South University(approval No.2020 S004)on March 19,2020. 展开更多
关键词 amplitude of low-frequency fluctuation clinical study coronavirus disease 2019 FOLLOW-UP functional magnetic resonance imaging long-term physical consequences neuropsychiatric sequelae resting‐state function
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Matrix description of differential relations of moment functions in structural reliability sensitivity analysis
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作者 Tianxiao ZHANG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2017年第1期57-72,共16页
In a structural system reliability analysis that lacks probabilistic information, calculating the numerical characteristics of the state functions, especially the first four moments of the state functions, is necessar... In a structural system reliability analysis that lacks probabilistic information, calculating the numerical characteristics of the state functions, especially the first four moments of the state functions, is necessary. Based on that, the structural system reliability is analyzed with a fourth-order moment method. The reliability sensitivity is required to conduct the differential operation of the numerical characteristic functions. A reliability sensitivity analysis formula is then derived in combination with the relation of the differential operation. Based on the matrix theory and Kronecker algebra, this paper systematically derives a matrix expression of the first four moments of the state functions, and establishes the matrix relation between the first four moments of the state functions and those of the basic random variables. On this basis, a differential operation formula of the first four moments of the state functions is further derived against the first four moments of the basic random variables. The vector relation between the state functions and the multidimensional basic random variables is described by means of the matrix operation to extend the operation method. Finally, a concise and intuitive formula is obtained to explore the inherent essential relation between the numerical characteristics of the state functions and those of the basic random variables, leading to a universal equation for the two kinds of numerical characteristics. 展开更多
关键词 structural system reliability analysis state function numerical characteristic matrix description Kronecker product functional differential reliability sensitivity
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THE AUTOMATIC GENERATION OF LIMIT STATE FUNCTION OF HINGED STRUCTURE
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作者 车维毅 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第12期1187-1193,共7页
In this paper, the theorem of structure continual variation of truss structure in the analysis of structure reliability is derived, and it is used to generate limit state function automatically. We can avoid repeated ... In this paper, the theorem of structure continual variation of truss structure in the analysis of structure reliability is derived, and it is used to generate limit state function automatically. We can avoid repeated assembly of global stiffness matrix and repeated inverse operations of the matrix caused by constant changes of structure topology. A new criterion of degenerate of the structure into mechanism is introduced. The calculation examples are satisfactory. 展开更多
关键词 hinged structure continual variation theorem limit state function
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Density Functional Theory Study of C_2H_x(x=4~6) Adsorption on the Fe(110) Surface
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作者 张福兰 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2011年第1期25-30,共6页
The density functional theory(DFT) and self-consistent periodic calculation were used to investigate the C2Hx(x = 4~6) species adsorption on the Fe(110) surface. The adsorption energy and equilibrium geometry o... The density functional theory(DFT) and self-consistent periodic calculation were used to investigate the C2Hx(x = 4~6) species adsorption on the Fe(110) surface. The adsorption energy and equilibrium geometry of the species C2Hx(x = 4~6) on four possible sites(top,hcp,SB and LB) on the Fe(110) surface were predicted and compared. Mulliken charges and density of states analysis of the most stable site have been discussed. It is found that the species of C2H6 and C2H5 are adsorbed strongly on the Fe(110) surface with calculated adsorption energy of -80.24 and -178.89 kJ·mol^-1 at the Fe-LB(long-bridge) ,respectively. However,the C2H4 is adsorbed strongly on the Fe(110) surface with calculated adsorption energies of -114.96 kJ·mol^-1 at the top. The results indicate that the charge transferring process can be completed by chemisorption between Fe(110) surface and the species. Moreover,the chemical bands can be formed by chemisorptions between the Fe(110) surface and the species,too. 展开更多
关键词 hydrocarbon Fe(110) surface adsorption energy density of states density functional theory
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The vital point of the Parameters of Morpho-functional State of Gymnasts for the Assessment of Physical Development at the Stage of Sports Perfection
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作者 Zakharyeva Natalia Nikolaevna 《Chinese Business Review》 2021年第2期56-65,共10页
The article presents the data of the assessment of the physical development and functional state of highly qualifiedgymnasts engaged in rhythmic gymnastics. It was found that high-skilled gymnasts have heterogeneity o... The article presents the data of the assessment of the physical development and functional state of highly qualifiedgymnasts engaged in rhythmic gymnastics. It was found that high-skilled gymnasts have heterogeneity ofsomatotypes determined according to the B. Heath-J. Carter scheme and heterogeneity of types of autonomousnervous regulation of heart rate variability, systolic, diastolic blood pressure and respiration, determined on thespiroarteriorhythmocardiograph device. Highly qualified gymnasts have vago- and normotonic types of regulationof heart rate variability;normal-sympathetic-and hypersympathicotonic types of regulation of the variability ofsystolic blood pressure and diastolic blood pressure, vagotonic type of regulation of the variability of the respiratoryrhythm. Statistically significant differences gymnasts, successful in the medal standings at the internationalcompetitions and gymnasts participating, but not in high prizes in competitions, consist in the ability to resistfatigue while performing strenuous mental work (differences were revealed in 10-letter “Mental performance” at aconstant speed (p > 0.0001), and 3-letter test (p > 0.001)), data stabilometric test “Target” indicator “Time stabilityon the left foot” (R > 0.039) with the advantage of a high performing gymnasts artists. Fleshed out the possibility ofusing the parameters of the morphofunctional state of gymnasts in training for the qualitative evaluation of thephysical development of gymnasts, evaluation set their sports uniforms indicated the possibility of developing thereference parameters of the morphofunctional status of gymnasts and recommendations on the frequency of thesurvey of morphological and functional status of gymnasts involved in rhythmic gymnastics. 展开更多
关键词 rhythmic gymnastics highly qualified athletes ANTHROPOMETRY SOMATOTYPE functional state sports form
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Theoretical Study on the C-H Activation in Decarbonylation of Acetaldehyde by NiL_2(L=SO_3CH_3) Using Density Functional Theory
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作者 刘红飞 JIA Tiekun MIN Xinmin 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2014年第6期1170-1172,共3页
Density functional theory calculations were carried out to explore the potential energy surface(PES) associated with the gas-phase reaction of Ni L2(L=SO3CH3) with acetone. The geometries and energies of the react... Density functional theory calculations were carried out to explore the potential energy surface(PES) associated with the gas-phase reaction of Ni L2(L=SO3CH3) with acetone. The geometries and energies of the reactants, intermediates, products and transition states of the triplet ground potential energy surfaces of [Ni, O, C2, H4] were obtained at the B3LYP/6-311++G(d,p) levels in C,H,O atoms and B3LYP/ Lanl2 dz in Ni atom. It was found through our calculations that the decabonylation of acetaldehyde contains four steps including encounter complexation, C-C activation, aldehyde H-shift and nonreactive dissociation. The results revealed that C-C activation induced by Ni L2(L=SO3CH3) led to the decarbonylation of acetaldehyde. 展开更多
关键词 density functional theory decarbonylation transition state energy C-C activation
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Study on Functional Connectivity of Resting State Brain in First Episode Schizophrenic Auditory Hallucinations
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作者 WANG Yanjiao SUN Yutao +1 位作者 LU Xiuchun LIU Yanbin 《外文科技期刊数据库(文摘版)医药卫生》 2021年第11期013-015,共5页
Objective: in this paper, the functional connectivity of the resting state brain in first-episode schizophrenia patients with auditory hallucinations was studied. Methods: according to the DDSM -IV schizophrenia diagn... Objective: in this paper, the functional connectivity of the resting state brain in first-episode schizophrenia patients with auditory hallucinations was studied. Methods: according to the DDSM -IV schizophrenia diagnostic criteria, 94 patients with first schizophrenic auditory hallucinations and 94 healthy patients were selected as control. All subjects underwent clinical evaluation and resting-state functional magnetic resonance (FMRI) scans, and the differences between the two groups were analyzed and compared. Results: compared to control group, patients with first-episode schizophrenia auditory hallucination itself left superior temporal gyrus, the ipsilateral medial prefrontal function and connection of side guide vane fall further, at the same time, to the left side of the patients with first-episode schizophrenia hallucinations Heschl back with ipsilateral medial prefrontal function and connection of the contralateral temporal gyrus, showed a trend of decline, in addition, for the right of HG, it was also functionally connected to the left middle temporal gyrus and showed a declining trend. Conclusion: in the early stages of schizophrenia, there are serious abnormal connectivity between different brain regions, especially between the two sides of the brain, and there is also an abnormal pattern of "disconnection", which indicates that there are serious abnormalities in the integration function of the brain in the first episode of schizophrenia. 展开更多
关键词 first-episode schizophrenia auditory hallucinations resting state brain functional connectivity
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Dynamic Event-Triggered Active Disturbance Rejection Formation Control for Constrained Underactuated AUVs
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作者 Zhiguang Feng Sibo Yao 《IEEE/CAA Journal of Automatica Sinica》 2025年第2期460-462,共3页
Dear Editor,This letter addresses the formation control problem for constrained underactuated autonomous underwater vehicles (AUVs). The feasibility condition of the virtual control law is eliminated by introducing a ... Dear Editor,This letter addresses the formation control problem for constrained underactuated autonomous underwater vehicles (AUVs). The feasibility condition of the virtual control law is eliminated by introducing a nonlinear state dependence function (NSDF) that transforms the state of each AUV in the formation. 展开更多
关键词 nonlinear state dependence function formation control problem constrained underactuated autonomous underwater vehicles constrained underactuated autonomous underwater vehicles virtual control law formation control
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Local synchronization and amplitude of the fluctuation of spontaneous brain activity in attention-deficit/hyperactivity disorder:a resting-state fMRI study 被引量:25
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作者 Li An Qing-Jiu Cao +4 位作者 Man-Qiu Sui Li Sun Qi-Hong Zou Yu-Feng Zang Yu-Feng Wang 《Neuroscience Bulletin》 SCIE CAS CSCD 2013年第5期603-613,共11页
Regional homogeneity(ReHo)and the amplitude of low-frequency fluctuation(ALFF)are two approaches to depicting different regional characteristics of resting-state functional magnetic resonance imaging(RS-fMRI)dat... Regional homogeneity(ReHo)and the amplitude of low-frequency fluctuation(ALFF)are two approaches to depicting different regional characteristics of resting-state functional magnetic resonance imaging(RS-fMRI)data.Whether they can complementarily reveal brain regional functional abnormalities in attention-deficit/hyperactivity disorder(ADHD)remains unknown.In this study,we applied ReHo and ALFF to 23 medication-na ve boys diagnosed with ADHD and 25 age-matched healthy male controls using whole-brain voxel-wise analysis.Correlation analyses were conducted in the ADHD group to investigate the relationship between the regional spontaneous brain activity measured by the two approaches and the clinical symptoms of ADHD.We found that the ReHo method showed widely-distributed differences between the two groups in the fronto-cingulo-occipitocerebellar circuitry,while the ALFF method showed a difference only in the right occipital area.When a larger smoothing kernel and a more lenient threshold were used for ALFF,more overlapped regions were found between ALFF and ReHo,and ALFF even found some new regions with group differences.The ADHD symptom scores were correlated with the ReHo values in the right cerebellum,dorsal anterior cingulate cortex and left lingual gyrus in the ADHD group,while no correlation was detected between ALFF and ADHD symptoms.In conclusion,ReHo may be more sensitive to regional abnormalities,at least in boys with ADHD,than ALFF.And ALFF may be complementary to ReHo in measuring local spontaneous activity.Combination of the two may yield a more comprehensive pathophy-siological framework for ADHD. 展开更多
关键词 resting state functional magnetic resonance imaging regional homogeneity amplitude of low-frequency fluctuation attention-deficit/hyperactivity disorder
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Hamiltonian system for the inhomogeneous plane elasticity of dodecagonal quasicrystal plates and its analytical solutions 被引量:1
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作者 孙志强 侯国林 +1 位作者 乔艳芬 刘金存 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第1期581-590,共10页
A Hamiltonian system is derived for the plane elasticity problem of two-dimensional dodecagonal quasicrystals by introducing the simple state function. By using symplectic elasticity approach, the analytic solutions o... A Hamiltonian system is derived for the plane elasticity problem of two-dimensional dodecagonal quasicrystals by introducing the simple state function. By using symplectic elasticity approach, the analytic solutions of the phonon and phason displacements are obtained further for the quasicrystal plates. In addition, the effectiveness of the approach is verified by comparison with the data of the finite integral transformation method. 展开更多
关键词 Hamiltonian system symplectic elasticity QUASICRYSTALS analytic solution state function
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Theoretical and Experimental Studies on the Reaction Mechanism of Cl_2 + I_2 = 2ICl 被引量:1
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作者 YANG Guo-Ying YUAN Li-Xia +2 位作者 SUN De-Sheng WANG Zun-Yao JIANG Tao 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 北大核心 2006年第8期985-991,共7页
The gas phase reaction mechanism of Cl2 + I2 = 2ICl has been theoretically investigated by DFF method at the B3LYP/3-21 G* level. Transition states of three reaction channels were consequently given. The results ind... The gas phase reaction mechanism of Cl2 + I2 = 2ICl has been theoretically investigated by DFF method at the B3LYP/3-21 G* level. Transition states of three reaction channels were consequently given. The results indicate that in the title reaction the least activation energy of bi-molecular reaction was smaller than the dissociation energies of I2 and Cl2, and thus the reaction mechanism was the course of molecule-molecule interaction at low reaction rate. If other factors such as illumination were taken into account, I2 could dissociate into I atoms and then react with Cl2, or Cl2 dissociates into CI atoms and reacts with I2. These were photochemical reactions with high reaction speed. The theoretical results were further validated with absorbance measurement at 516 nm. 展开更多
关键词 CHLORINE IODINE iodine chloride transition state density functional theory SPECTROPHOTOMETRY
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Dynamic Method of Seismic Casualty Assessment 被引量:2
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作者 ZhaoZhendong ZhengXiangyuan +1 位作者 ZhongJiangrong YuShizhou 《Earthquake Research in China》 2003年第3期274-285,共12页
The concept of Initial Casualty Matrix is introduced. Using some probability distribution functions, the initial casualty matrix of masonry is determined. The dynamic method of seismic casualty assessment is establish... The concept of Initial Casualty Matrix is introduced. Using some probability distribution functions, the initial casualty matrix of masonry is determined. The dynamic method of seismic casualty assessment is established and then applied to the Tangshan earthquake data, with some conclusions drawn. 展开更多
关键词 Trap surroundings Initial casualty matrix State function of seismic casualty Dynamic method
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State Representation Methodology (SRM) for Bridge Condition Assessment in SHM 被引量:2
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《Journal of Civil Engineering and Architecture》 2012年第4期433-443,共11页
This paper introduces a new concept of "State Representation Methodology (SRM)" which is a kind of bridge condition assessment method for structural health monitoring system (SHM). There are many methods for sys... This paper introduces a new concept of "State Representation Methodology (SRM)" which is a kind of bridge condition assessment method for structural health monitoring system (SHM). There are many methods for system identification from the simplicity comparison of damage index to the complicated statistical pattern recognition algorithms in SHM. In these methods, modal analysis and parameters identification or many defined indices are common-used for extracting the dynamic or static characteristics of a system. However, there is a common problem: due to the complexity of a large size system with high-order nonlinear characteristics and severe environment interference, it is impossible to extract and quantify exactly these modal parameters or system parameters or indices as the feature vectors of a system in damage detection in an easy way. The SRM considered a more general theory for the non-parametric description of system state. 展开更多
关键词 BRIDGE damage detection system state representation methodology (SRM) structural health monitoring (SHM) state representation function (SRF) SRM Tool Kernel function.
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Mathematical Modeling and Evaluation of Reliability Parameters Based on Survival Possibilities under Uncertain Environment
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作者 Alhanouf Alburaikan Hamiden Abd El-Wahed Khalifa +2 位作者 Pavan Kumar SeyedaliMirjalili Ibrahim Mekawy 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第3期1943-1956,共14页
In this article,mathematical modeling for the evaluation of reliability is studied using two methods.One of the methods,is developed based on possibility theory.The performance of the reliability of the system is of p... In this article,mathematical modeling for the evaluation of reliability is studied using two methods.One of the methods,is developed based on possibility theory.The performance of the reliability of the system is of prime concern.In view of this,the outcomes for the failure are required to evaluate with utmost care.In possibility theory,the reliability information data determined from decision-making experts are subjective.The samemethod is also related to the survival possibilities as against the survival probabilities.The other method is the one that is developed using the concept of approximation of closed interval including the piecewise quadratic fuzzy numbers.In this method,a decision-making expert is not sure of his/her estimates of the reliability parameters.Numerical experiments are performed to illustrate the efficiency of the suggested methods in this research.In the end,the paper is concluded with some future research directions to be explored for the proposed approach. 展开更多
关键词 Reliability function probabilistic function piecewise quadratic fuzzy numbers survival possibility failure rate possibility distribution state function closed interval approximation
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An Explicit Iteration Algorithm for Structural Reliability and its Realization by MATLAB 被引量:1
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作者 YANG Jian-ming ZHANG Han-ye FENG Xiu-juan 《International Journal of Plant Engineering and Management》 2008年第4期220-224,共5页
Based on the improved first order second moment method of the structural reliability, an explicit iteration algorithm is proposed, which can avoid solving structural performance function to obtain reliability index β... Based on the improved first order second moment method of the structural reliability, an explicit iteration algorithm is proposed, which can avoid solving structural performance function to obtain reliability index β and have simple calculation forms. Finally, the validity of the explicit iteration algorithm is illustrated through two examples by MATLAB programming. 展开更多
关键词 RELIABILITY first order second moment limited state function explicit iteration MATLAB
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Quantum statistical properties of photon-added spin coherent states 被引量:1
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作者 G Honarasa 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第11期206-209,共4页
The photon-added spin coherent state as a new kind of coherent state has been defined by iterated actions of the proper raising operator on the ordinary spin coherent state. In this paper, the quantum statistical prop... The photon-added spin coherent state as a new kind of coherent state has been defined by iterated actions of the proper raising operator on the ordinary spin coherent state. In this paper, the quantum statistical properties of photon-added spin coherent states such as photon number distribution, second-order correlation function and Wigner function are studied. It is found that the Wigner function shows the negativity in some regions and the second-order correlation function is less than unity. Therefore, the photon-added spin coherent state is a nonclassical state. 展开更多
关键词 photon-added spin coherent states photon number distribution Wigner function
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Probabilistic Failure Analysis of Composite Beams for Optimum Ply Arrangements under Ballistic Impact 被引量:1
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作者 Shivdayal Patel Suhail Ahmad Puneet Mahajan 《Journal of Aerospace Science and Technology》 2015年第1期36-47,共12页
The probabilistic analysis takes into consideration an effect of scatter in elastic and strength properties of composite beam, and velocity of impactor. The damage model is implemented in the FE (finite element) cod... The probabilistic analysis takes into consideration an effect of scatter in elastic and strength properties of composite beam, and velocity of impactor. The damage model is implemented in the FE (finite element) code by a VUMAT (user-defined subroutine). The inter ply failure is modeled using cohesive surfaces between the plies. Dynamic response is obtained using explicit time domain integration approach. SFEA (stochastic finite element analysis) is used to study the initiation of fiber failure analysis due to ballistic impact. SFEA provided the critical stress input in the limit state which is computationally solved using reliability software. The random variation in these properties is used for determining statistics of stress in the lamina. These are compared to the random strengths in the limit state function and probability failure surface is obtained by using GPRSM (Gaussian process response surface method). GPRSM is used to predict the Pf (probability of failure) for different ply lay-ups arrangement. The Pf of Chang-Chang initiation of fiber failure for simply supported composite beams with symmetric cross ply lay-ups are (88.9%, 1.47% and 58.1%) greater than the anti-symmetric cross ply, symmetric angle ply and anti-symmetric angle ply, respectively. Sensitivity analysis is also carried out for symmetric cross ply arrangements. 展开更多
关键词 Ballistic impact COMPOSITE stochastic finite elements limit state function probability of failure.
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DAMAGE THEORY OF MATERIALS WITH MICROSTRUCTURE
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作者 Gao Yuchen (Harbin Shipbuilding Engineering Institute) 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1989年第2期136-144,共9页
A new form of damage theory of materials is proposed,that is valid for the case of nonconservative stresses.The partial entropy,strain and microstructure parameters are taken as the state variables.Without assuming th... A new form of damage theory of materials is proposed,that is valid for the case of nonconservative stresses.The partial entropy,strain and microstructure parameters are taken as the state variables.Without assuming the free energy to be a state function,the basic governing equations are derived.According to the balance of released and dissipated energy,the general form of damage evolution equation is obtained.Further,assuming the existence of independent damage mechanisms, the normality of damage evolution equation is proven.The generalized damage variables are dis- cussed.Finally,some examples are given to show the applications of the theory. 展开更多
关键词 state functions constrained variables damage evolution
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First-Principles Study of the High-Temperature Behaviors of the Willemite-Ⅱ and Post-Phenacite Phases of Silicon Nitride 被引量:1
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作者 陈东 cang yuping 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2016年第1期74-79,共6页
The structural and elastic properties of the recently-discovered wⅡ- and δ-Si3N4 are investigated through the plane-wave pseudo-potential method within ultrasoft pseudopotentials.The elastic constants show that wⅡ-... The structural and elastic properties of the recently-discovered wⅡ- and δ-Si3N4 are investigated through the plane-wave pseudo-potential method within ultrasoft pseudopotentials.The elastic constants show that wⅡ- and δ-Si3N4 are mechanically stable in the pressure ranges of 0-50 GPa and 40-50 GPa,respectively.The α→wⅡ phase transition can be observed at 18.6 GPa and 300 K.The β→δ phase transformation occurs at pressures of 29.6,32.1,35.9,39.6,41.8,and 44.1 GPa when the temperatures are100,200,300,400,500,and 600 K,respectively.The results show that the interactions among the N-2s,Si-3s,3p bands(lower valence band) and the Si-3p,N-2p bands(upper valence band) play an important role in the stabilities of the wⅡ and S phases.Moreover,several thermodynamic parameters(thermal expansion,free energy,bulk modulus and heat capacity) of δ-Si3N4 are also obtained.Some interesting features are found in these properties.δ-Si3N4 is predicted to be a negative thermal expansion material.The adiabatic bulk modulus decreases with applied pressure,but a majority of materials show the opposite trend.Further experimental investigations with higher precisions may be required to determine the fundamental properties of wⅡ- andδ-Si3N4. 展开更多
关键词 density functional theory phase boundary density of states thermal expansion
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Target layer state estimation in multi-layer complex dynamical networks considering nonlinear node dynamics
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作者 吴亚勇 王欣伟 蒋国平 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第4期245-252,共8页
In many engineering networks, only a part of target state variables are required to be estimated.On the other hand,multi-layer complex network exists widely in practical situations.In this paper, the state estimation ... In many engineering networks, only a part of target state variables are required to be estimated.On the other hand,multi-layer complex network exists widely in practical situations.In this paper, the state estimation of target state variables in multi-layer complex dynamical networks with nonlinear node dynamics is studied.A suitable functional state observer is constructed with the limited measurement.The parameters of the designed functional observer are obtained from the algebraic method and the stability of the functional observer is proven by the Lyapunov theorem.Some necessary conditions that need to be satisfied for the design of the functional state observer are obtained.Different from previous studies, in the multi-layer complex dynamical network with nonlinear node dynamics, the proposed method can estimate the state of target variables on some layers directly instead of estimating all the individual states.Thus, it can greatly reduce the placement of observers and computational cost.Numerical simulations with the three-layer complex dynamical network composed of three-dimensional nonlinear dynamical nodes are developed to verify the effectiveness of the method. 展开更多
关键词 multi-layer complex dynamical network nonlinear node dynamics target state estimation functional state observer
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