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Application of NSR-AISC Method in Reserve Estimation and Technical Economic Evaluation of Low-Grade Polymetallic Deposits: Taking a Low-Grade Copper-Molybdenum Mine in Guangdong Province as an Example
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作者 Yao Xue Tengfei Li 《World Journal of Engineering and Technology》 2024年第3期731-741,共11页
The development and utilization of low-grade polymetallic deposits with strategic mineral resources is one of the important measures to alleviate the current high dependence on strategic mineral resources in China. Ho... The development and utilization of low-grade polymetallic deposits with strategic mineral resources is one of the important measures to alleviate the current high dependence on strategic mineral resources in China. However, domestic mining enterprises and most mining consulting and design institutes usually use general industrial indicators to carry out reserve estimation and technical and economic feasibility studies on low-grade polymetallic deposits, which cannot truly reflect the economic value of such deposits. The article expounds on the definitions of net return value (NSR) and on-site total maintenance cost (AISC) of common ore smelters in the evaluation of overseas mineral resources. Taking a low-grade polymetallic copper-molybdenum mine in Guangdong Province as an example, comparing the research results showed the NSR-AISC method and the general industrial index method in low-grade polymetallic deposit. There are huge differences in the results of reserve estimation;through the further introduction of Taylor’s formula and the research results on the relationship between investment intensity and production scale, a more reasonable mine life and investment scale are recommended, and a more in-depth comparative study has been carried out in the dimension of technical and economic indicators. Based on the comparative study of the above two methods in reserve estimation and the evaluation results of technical and economic indicators, the author believes that the NSR-AISC method can better reflect the true value of low-grade polymetallic ore projects, and should be popularized and applied in resource evaluation and development practice. This article further describes the application status of the NSR-AISC method for reserve estimation and the evaluation of technical economic indicators, and suggests the main points that should be paid attention to in the use of the NSR-AISC method. 展开更多
关键词 NSR-AISC method General Industrial Indicators Low-grade Polymetallic Ore
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Sound radiation of a functionally graded material cylindrical shell in water by mobility method 被引量:1
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作者 Buqing Xu,1,2, ) Shaopu Yang,3, and Haoyu Li1, 1)Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China 2)Provincial Laboratory of Traffic Safety and Control of Hebei, Shijiazhuang Tiedao University, Shijiazhuang 050043, China 3)Shijiazhuang Tiedao University, Shijiazhuang 050043, China 《Theoretical & Applied Mechanics Letters》 CAS 2011年第6期69-74,共6页
Based on the fundamental dynamic equations of functionally graded material (FGM) cylindrical shell, this paper investigates the sound radiation of vibrational FGM shell in water by mobility method. This model takes in... Based on the fundamental dynamic equations of functionally graded material (FGM) cylindrical shell, this paper investigates the sound radiation of vibrational FGM shell in water by mobility method. This model takes into account the exterior fluid loading due to the sound press radiated by the FGM shell. The FGM cylindrical shell was excited by a harmonic line radial force uniformly distributing along the generator. The FGM shell equations of motion, the Helmholtz equation in the exterior fluid medium and the continuity equation at fluid-shell interface are used in this vibroacoustic problem. The expressions of sound radiation efficiency and sound field of the FGM shell have been derived by mobility method. Radiation efficiency, modal mobility and the directivity pattern of the sound field are solved numerically. In particular, radiation efficiency and directivity pattern with various power law index are analyzed. 展开更多
关键词 fluid-loaded cylindrical shell functionally graded material mobility method sound radiation
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Method of lines for temperature field of functionally graded materials
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作者 戴耀 孙琦 +2 位作者 郝贵祥 燕秀发 李永东 《Journal of Central South University》 SCIE EI CAS 2005年第S2期230-232,共3页
The finite element method (FEM) and the boundary element method (BEM) are often adopted. However, they are not convenient to spatially vary thermal properties of functionally graded material (FGM). Therefore, the meth... The finite element method (FEM) and the boundary element method (BEM) are often adopted. However, they are not convenient to spatially vary thermal properties of functionally graded material (FGM). Therefore, the method of lines (MOL) is introduced to solve the temperature field of FGM. The basic idea of the method is to semi-discretize the governing equation into a system of ordinary differential equations (ODEs) defined on discrete lines by means of the finite difference method. The temperature field of FGM can be obtained by solving the ODEs. The functions of thermal properties are directly embodied in these equations and these properties are not discretized in the domain. Thus, difficulty of FEM and BEM is overcome by the method. As a numerical example, the temperature field of a plane problem is analyzed for FGMs through varying thermal conductivity coefficient by the MOL. 展开更多
关键词 functionally gradeD MATERIALS method of LINES TEMPERATURE FIELD
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Thermoelastic Analysis of Non-uniform Pressurized Functionally Graded Cylinder with Variable Thickness Using First Order Shear Deformation Theory(FSDT) and Perturbation Method 被引量:1
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作者 KHOSHGOFTAR M J MIRZAALI M J RAHIMI G H 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2015年第6期1149-1156,共8页
Recently application of functionally graded materials(FGMs) have attracted a great deal of interest. These materials are composed of various materials with different micro-structures which can vary spatially in FGMs... Recently application of functionally graded materials(FGMs) have attracted a great deal of interest. These materials are composed of various materials with different micro-structures which can vary spatially in FGMs. Such composites with varying thickness and non-uniform pressure can be used in the aerospace engineering. Therefore, analysis of such composite is of high importance in engineering problems. Thermoelastic analysis of functionally graded cylinder with variable thickness under non-uniform pressure is considered. First order shear deformation theory and total potential energy approach is applied to obtain the governing equations of non-homogeneous cylinder. Considering the inner and outer solutions, perturbation series are applied to solve the governing equations. Outer solution for out of boundaries and more sensitive variable in inner solution at the boundaries are considered. Combining of inner and outer solution for near and far points from boundaries leads to high accurate displacement field distribution. The main aim of this paper is to show the capability of matched asymptotic solution for different non-homogeneous cylinders with different shapes and different non-uniform pressures. The results can be used to design the optimum thickness of the cylinder and also some properties such as high temperature residence by applying non-homogeneous material. 展开更多
关键词 non-homogenous cylinder First order Shear Deformation Theory matched asymptotic method perturbation method functionally graded material
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Geochemical and Geostatistical Studies for Estimating Gold Grade in Tarq Prospect Area by K-Means Clustering Method 被引量:7
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作者 Adel Shirazy Aref Shirazi +1 位作者 Mohammad Hossein Ferdossi Mansour Ziaii 《Open Journal of Geology》 2019年第6期306-326,共21页
Tarq geochemical 1:100,000 Sheet is located in Isfahan province which is investigated by Iran’s Geological and Explorations Organization using stream sediment analyzes. This area has stratigraphy of Precambrian to Qu... Tarq geochemical 1:100,000 Sheet is located in Isfahan province which is investigated by Iran’s Geological and Explorations Organization using stream sediment analyzes. This area has stratigraphy of Precambrian to Quaternary rocks and is located in the Central Iran zone. According to the presence of signs of gold mineralization in this area, it is necessary to identify important mineral areas in this area. Therefore, finding information is necessary about the relationship and monitoring the elements of gold, arsenic, and antimony relative to each other in this area to determine the extent of geochemical halos and to estimate the grade. Therefore, a well-known and useful K-means method is used for monitoring the elements in the present study, this is a clustering method based on minimizing the total Euclidean distances of each sample from the center of the classes which are assigned to them. In this research, the clustering quality function and the utility rate of the sample have been used in the desired cluster (S(i)) to determine the optimum number of clusters. Finally, with regard to the cluster centers and the results, the equations were used to predict the amount of the gold element based on four parameters of arsenic and antimony grade, length and width of sampling points. 展开更多
关键词 GOLD Tarq K-MEANS Clustering method Estimation of the ELEMENTS grade K-MEANS
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Application of diflerential constraint method to exact solution of second-grade fluid
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作者 张道祥 冯素晓 +1 位作者 卢志明 刘宇陆 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第4期403-412,共10页
A differential constraint method is used to obtain analytical solutions of a second-grade fluid flow. By using the first-order differential constraint condition, exact solutions of Poiseuille flows, jet flows and Coue... A differential constraint method is used to obtain analytical solutions of a second-grade fluid flow. By using the first-order differential constraint condition, exact solutions of Poiseuille flows, jet flows and Couette flows subjected to suction or blowing forces, and planar elongational flows are derived. In addition, two new classes of exact solutions for a second-grade fluid flow are found. The obtained exact solutions show that the non-Newtonian second-grade flow behavior depends not only on the material viscosity but also on the material elasticity. Finally, some boundary value problems are discussed. 展开更多
关键词 non-Newtonian fluid differential constraint method second-grade fluid
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A Real-Time Transient Analysis of a Functionally Graded Material Plate Using Reduced-Basis Methods
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作者 Yonghui Huang Yi Huang 《Advances in Linear Algebra & Matrix Theory》 2015年第3期98-108,共11页
Based on the hybrid numerical method (HNM) combining with a reduced-basis method (RBM), the real-time transient response of a functionally graded material (FGM) plates is obtained. The large eigenvalue problem in wave... Based on the hybrid numerical method (HNM) combining with a reduced-basis method (RBM), the real-time transient response of a functionally graded material (FGM) plates is obtained. The large eigenvalue problem in wavenumber domain has been solved through real-time off-line/on-line calculation. At off-line stage, a reduced-basis space is constructed in sample wavenumbers according to the solved eigenvalue problems. The matrices independent of parameters are projected onto the reduced-basis spaces. At on-line stage, the reduced eigenvalue problems of the arbitrary wavenumbers are built. Subsequently, the responses in wavenumber domain are obtained by the approximated eigen-pairs. Because of the application of RBM, the computational cost of transient displacement analysis of FGM plate is decreased significantly, while the accuracy of the solution and the physics of the structure are still retained. The efficiency and validity of the proposed method are demonstrated through a numerical example. 展开更多
关键词 Reduced-Basis method TRANSIENT Response Functionally gradeD Material Hybrid Numerical method REAL-TIME
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Large deformation analysis of a cantilever beam made of axially functionally graded material by homotopy analysis method 被引量:2
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作者 Xin LIN Yixin HUANG +1 位作者 Yang ZHAO Tianshu WANG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2019年第10期1375-1386,共12页
Large deformation of a cantilever axially functionally graded (AFG) beam subject to a tip load is analytically studied using the homotopy analysis method (HAM). It is assumed that its Young’s modulus varies along the... Large deformation of a cantilever axially functionally graded (AFG) beam subject to a tip load is analytically studied using the homotopy analysis method (HAM). It is assumed that its Young’s modulus varies along the longitudinal direction according to a power law. Taking the solution of the corresponding homogeneous beam as the initial guess and obtaining a convergence region by adjusting an auxiliary parameter, the analytical expressions for large deformation of the AFG beam are provided. Results obtained by the HAM are compared with those obtained by the finite element method and those in the previous works to verify its validity. Good agreement is observed. A detailed parametric study is carried out. The results show that the axial material variation can greatly change the deformed configuration, which provides an approach to control and manage the deformation of beams. By tailoring the axial material distribution, a desired deformed configuration can be obtained for a specific load. The analytical solution presented herein can be a helpful tool for this procedure. 展开更多
关键词 large deformation BEAM AXIALLY functionally gradeD (AFG) material Euler-Bernoulli BEAM HOMOTOPY ANALYSIS method (HAM)
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Preparation of Mn_3O_4 from low-grade rhodochrosite ore by chemical bath deposition method
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作者 Jing Zhao Longjun Xu +1 位作者 Taiping Xie Chao Xie 《Chinese Journal Of Geochemistry》 EI CAS CSCD 2015年第1期55-61,共7页
Mn3O4was prepared with the chemical bath deposition(CBD) method. A Mn SO4 solution was obtained by the leaching and purifying of low-grade rhodochrosite ore(LGRO), which was used as raw material. The prepa ration proc... Mn3O4was prepared with the chemical bath deposition(CBD) method. A Mn SO4 solution was obtained by the leaching and purifying of low-grade rhodochrosite ore(LGRO), which was used as raw material. The prepa ration procedures were studied and promoted. The result showed that the Mn3O4 with the highest purity and highes specific surface area could be obtained under the following processes. An Mn SO4 solution of 1.0 mol/L was added into a beaker under a flow rate of 30 m L/h. The p H of the reaction solution was adjusted to 10 using NH3 H2 O a80 °C. Then the solids were washed and dried at 200 °C fo2.5 h. The total Mn content(TMC) of Mn3O4 was 72.0 %The ionic distributions was formulated as [Mn2?[Mn2??0.3024Mn30.2937Mn4?h0.37860.0254]2O4. The average crys tallite size of Mn3O4 with a tetragonal hausmannite struc ture was found to be about 35 nm by X-ray diffraction(XRD) analysis. The BET specific surface area of the Mn3O4 measured was 32 m2/g. 展开更多
关键词 四氧化三锰 化学浴沉积法 低品位矿石 碳酸锰矿石 制备 硫酸锰溶液 比表面积 平均晶粒尺寸
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Free vibration of non-uniform axially functionally graded beams using the asymptotic development method 被引量:5
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作者 Dongxing CAO Yanhui GAO 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2019年第1期85-96,共12页
The asymptotic development method is applied to analyze the free vibration of non-uniform axially functionally graded(AFG) beams, of which the governing equations are differential equations with variable coefficients.... The asymptotic development method is applied to analyze the free vibration of non-uniform axially functionally graded(AFG) beams, of which the governing equations are differential equations with variable coefficients. By decomposing the variable flexural stiffness and mass per unit length into reference invariant and variant parts, the perturbation theory is introduced to obtain an approximate analytical formula of the natural frequencies of the non-uniform AFG beams with different boundary conditions.Furthermore, assuming polynomial distributions of Young's modulus and the mass density, the numerical results of the AFG beams with various taper ratios are obtained and compared with the published literature results. The discussion results illustrate that the proposed method yields an effective estimate of the first three order natural frequencies for the AFG tapered beams. However, the errors increase with the increase in the mode orders especially for the cases with variable heights. In brief, the asymptotic development method is verified to be simple and efficient to analytically study the free vibration of non-uniform AFG beams, and it could be used to analyze any tapered beams with an arbitrary varying cross width. 展开更多
关键词 AXIALLY functionally graded(AFG)beam NON-UNIFORM NATURAL frequency ASYMPTOTIC development method
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STUDY ON THE ASSAY QUALITY OF FOOD GRADE GPR BY UV—VIS METHOD
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作者 刘雄亚 张大厚 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 1993年第2期50-60,共11页
In this paper, the kind of remanent small molecules in unsaturated polyester res(?) (UP resin) , the best extractant and the best suitalbe extractive time for measuring the content of these small molecules were studie... In this paper, the kind of remanent small molecules in unsaturated polyester res(?) (UP resin) , the best extractant and the best suitalbe extractive time for measuring the content of these small molecules were studied using ultraviolet- visible spectrophotometry ( UV-VIS method). According to the principle of additivity lightness absorption for mixid solution, the contents of samll molecules in several kinds of cured UP resin were measured. It is pointed out that the UV-VIS method in the assay quality of food grade GRP products is more suitable to China. 展开更多
关键词 ultraviolet- visible spectrophotometry ( UV- VIS ) method food grade GRP cured UP resin extractant remanent small molecules
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Investigation of third-grade non-Newtonian blood flow in arteries under periodic body acceleration using multi-step differential transformation method
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作者 M.HATAMI S.E.GHASEMI +3 位作者 S.A.R.SAHEBI S.MOSAYEBIDORCHEH D.D.GANJI J.HATAMI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2015年第11期1449-1458,共10页
In this paper, a non-Newtonian third-grade blood in coronary and femoral arteries is simulated analytically and numerically. The blood is considered as the third- grade non-Newtonian fluid under the periodic body acce... In this paper, a non-Newtonian third-grade blood in coronary and femoral arteries is simulated analytically and numerically. The blood is considered as the third- grade non-Newtonian fluid under the periodic body acceleration motion and the pulsatile pressure gradient. The hybrid multi-step differential transformation method (Hybrid-Ms- DTM) and the Crank-Nicholson method (CNM) are used to solve the partial differential equation (PDE), and a good agreement between them is observed in the results. The effects of the some physical parameters such as the amplitude, the lead angle, and the body acceleration frequency on the velocity and shear stress profiles are considered. The results show that increasing the amplitude, Ag, and reducing the lead angle of body acceleration, 9, make higher velocity profiles on the center line of both arteries. Also, the maximum wall shear stress increases when Ag increases. 展开更多
关键词 pulsatile blood third-grade non-Newtonian fluid differential transforma-tion method (DTM) femoral artery coronary artery
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Observation of Curative Effect of Surgical Nursing in Patients with Grade III Hand-Foot Syndrome
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作者 Liping Zhang Lijuan Zhang +6 位作者 Yun Ding Lili Han Jiamin Kuang Qinghua Luo Xinhua Xie Zeyu Shuang Qiaoling Zhong 《Journal of Cancer Therapy》 2024年第8期280-286,共7页
Objective: To investigate the effect of surgical nursing on grade III Hand-Foot Syndrome (HFS) induced by Doxorubicin hydrochloride liposome chemotherapy after breast cancer surgery. Method: From January 2019 to Decem... Objective: To investigate the effect of surgical nursing on grade III Hand-Foot Syndrome (HFS) induced by Doxorubicin hydrochloride liposome chemotherapy after breast cancer surgery. Method: From January 2019 to December 2019, 10 patients with HFS grade III caused by Doxorubicin hydrochloride liposome chemotherapy after breast cancer surgery in the Breast Department of Cancer Prevention and Treatment Center of Sun Yat-sen University were selected, and surgical nursing methods were used to intervene and observe the therapeutic effects of the patients. Results: One patient was cured within 7 days, the cure rate was 10% in 7 days, 8 patients were cured within 10 days, the cure rate was 80% in 10 days, 10 patients were cured within 15 days, the cure rate was 100% in 15 days. Conclusion: The surgical nursing method is effective for patients with grade III HFS caused by Doxorubicin hydrochloride liposome chemotherapy after breast cancer surgery, shortening the treatment time of HFS, and is worthy of clinical promotion. 展开更多
关键词 Surgical Nursing methods Breast Cancer CHEMOTHERAPY grade III Hand-Foot Syndrome
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PillGrade 3D起球自动评级检测系统的探讨 被引量:1
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作者 邹文静 颜倩 《中国纤检》 2011年第10期51-53,共3页
本文介绍了起球自动评级检测系统的原理及评价过程。评定结果与主观评定方法相比,可以避免因试样的花型、颜色不同而引起的评级差异,使评定结果更加准确、客观。
关键词 起毛起球 自动评级 检测方法
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An inverse problem to estimate an unknown order of a Riemann-Liouville fractional derivative for a fractional Stokes' first problem for a heated generalized second grade fluid 被引量:2
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作者 Bo Yu Xiaoyun Jiang Haitao Qi 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2015年第2期153-161,共9页
In this paper,we propose a numerical method to estimate the unknown order of a Riemann-Liouville fractional derivative for a fractional Stokes' first problem for a heated generalized second grade fluid.The implicit n... In this paper,we propose a numerical method to estimate the unknown order of a Riemann-Liouville fractional derivative for a fractional Stokes' first problem for a heated generalized second grade fluid.The implicit numerical method is employed to solve the direct problem.For the inverse problem,we first obtain the fractional sensitivity equation by means of the digamma function,and then we propose an efficient numerical method,that is,the Levenberg-Marquardt algorithm based on a fractional derivative,to estimate the unknown order of a Riemann-Liouville fractional derivative.In order to demonstrate the effectiveness of the proposed numerical method,two cases in which the measurement values contain random measurement error or not are considered.The computational results demonstrate that the proposed numerical method could efficiently obtain the optimal estimation of the unknown order of a RiemannLiouville fractional derivative for a fractional Stokes' first problem for a heated generalized second grade fluid. 展开更多
关键词 Riemann-Liouville fractional derivative Generalized second grade fluid Inverse problem Implicit numerical method Fractional sensitivity equation
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Active vibration control of functionally graded beams with piezoelectric layers based on higher order shear deformation theory 被引量:5
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作者 K. Bendine F.B. Boukhoulda +1 位作者 M.Nouarit Z. Satla 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2016年第4期611-620,共10页
This paper reports on a study of active vibration control of functionally graded beams with upper and lower surface-bonded piezoelectric layers. The model is based on higher-order shear deformation theory and implemen... This paper reports on a study of active vibration control of functionally graded beams with upper and lower surface-bonded piezoelectric layers. The model is based on higher-order shear deformation theory and implemented using the finite element method (FEM). The proprieties of the functionally graded beam (FGB) are graded along the thickness direction. The piezoelectric actuator provides a damping effect on the FGB by means of a velocity feedback control algorithm. A Matlab program has been developed for the FGB model and compared with ANSYS APDL. Using Newmark's method numerical solutions are obtained for the dynamic equations of FGB with piezoelectric layers. Numerical results show the effects of the constituent volume fraction and the influence the feedback control gain on the frequency and dynamic response of FGBs. 展开更多
关键词 BEAMS PIEZOELECTRIC finite element method functionally graded materials vibration control
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Love Waves in Layered Graded Composite Structures with Imperfectly Bonded Interface 被引量:1
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作者 LIU Hua YANG Jia-ling LIU Kai-xin 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2007年第3期210-214,共5页
Theoretical analysis and numerical calculations of Love wave propagation in layered graded composites with imperfectly bonded interface are described in this paper. On the basis of WKB method, the approximate analytic... Theoretical analysis and numerical calculations of Love wave propagation in layered graded composites with imperfectly bonded interface are described in this paper. On the basis of WKB method, the approximate analytic solutions for Love waves are obtained. By the interface shear spring model, the dispersion relations for Love waves in layered graded composite structures with rigid, slip, and imperfectly bonded interfaces are given, and the effects of the interface conditions on the phase velocities of Love waves in SiC/Al layered graded composites are discussed. Numerical analysis shows that the phase velocity decreases when the defined flexibility parameter is greater. For the general imperfectly bonded interface, the phase velocity changes in the range of the velocities for the rigid and slip interface conditions. 展开更多
关键词 Love wave layered graded composites WKB method dispersion relation
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A meshless model for transient heat conduction analyses of 3D axisymmetric functionally graded solids 被引量:3
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作者 李庆华 陈莘莘 曾骥辉 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第12期51-57,共7页
A meshless numerical model is developed for analyzing transient heat conductions in three-dimensional (3D) axisymmetric continuously nonhomogeneous functionally graded materials (FGMs). Axial symmetry of geometry ... A meshless numerical model is developed for analyzing transient heat conductions in three-dimensional (3D) axisymmetric continuously nonhomogeneous functionally graded materials (FGMs). Axial symmetry of geometry and boundary conditions reduces the original 3D initial-boundary value problem into a two-dimensional (2D) problem. Local weak forms are derived for small polygonal sub-domains which surround nodal points distributed over the cross section. In order to simplify the treatment of the essential boundary conditions, spatial variations of the temperature and heat flux at discrete time instants are interpolated by the natural neighbor interpolation. Moreover, the using of three-node triangular finite element method (FEM) shape functions as test functions reduces the orders of integrands involved in domain integrals. The semi-discrete heat conduction equation is solved numerically with the traditional two-point difference technique in the time domain. Two numerical examples are investigated and excellent results are obtained, demonstrating the potential application of the proposed approach. 展开更多
关键词 meshless method transient heat conduction problem axisymmetric functionally graded materials natural neighbor interpolation
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BENDING OF FUNCTIONALLY GRADED PIEZOELECTRIC RECTANGULAR PLATES 被引量:37
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作者 Chen Weiqiu Ding Haojiang 《Acta Mechanica Solida Sinica》 SCIE EI 2000年第4期312-319,共8页
By introducing two displacement functions as well as two stressfunctions, two independent state equations with variable coefficientsare derived from the three-dimensional theory equations of piezo-elasticity for trans... By introducing two displacement functions as well as two stressfunctions, two independent state equations with variable coefficientsare derived from the three-dimensional theory equations of piezo-elasticity for transverse isotropy. A laminated approximation is usedto transform the state equations to those with constant coefficientsin each sub-layer. The bending problem of a functionally gradedrectangular plate is then analyzed based on the state equations.Numerical results are presented and the effect of material gradi- entindex is discussed. 展开更多
关键词 functionally graded piezoelectric material transverse isotropy statespace method
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Exact solutions for steady flows of second-grade fluids 被引量:1
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作者 张道祥 冯素晓 +1 位作者 卢志明 刘宇陆 《Journal of Shanghai University(English Edition)》 CAS 2009年第4期340-344,共5页
This paper aims to investigate exact solutions for a second-grade fluid flow with the inverse method. By assuming the relation between the vorticity field and the streamfunction, the exact solutions of the motion of p... This paper aims to investigate exact solutions for a second-grade fluid flow with the inverse method. By assuming the relation between the vorticity field and the streamfunction, the exact solutions of the motion of plane second-grade fluids are investigated and obtained. The solutions obtained include simple Couette flows, slit jet flows and uniform flows over a series of distributed obstacles. 展开更多
关键词 non-Newtonian fluids second-grade fluids inverse method
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