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Existence of Monotone Positive Solution for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function
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作者 Junrui Yue Yun Zhang Qingyue Bai 《Open Journal of Applied Sciences》 2024年第1期63-69,共7页
This paper is concerned with the following fourth-order three-point boundary value problem , where , we discuss the existence of positive solutions to the above problem by applying to the fixed point theory in cones a... This paper is concerned with the following fourth-order three-point boundary value problem , where , we discuss the existence of positive solutions to the above problem by applying to the fixed point theory in cones and iterative technique. 展开更多
关键词 Fourth-Order Three-Point Boundary Value Problem Sign-Changing Green’s Function Fixed Point Index Iterative Technique Monotone Positive solution EXISTENCE
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Upper Bound Solution of Soil Slope Stability under Coupling Effect of Rainfall and Earthquake 被引量:1
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作者 尹小军 王兰民 《Journal of Donghua University(English Edition)》 EI CAS 2019年第4期357-363,共7页
Based on the limit analysis upper bound method,a new model of soil slope collapse has been proposed which consists of two rigid block zones and a plastic shear zone.Soil slope was induced failure by coupling effect of... Based on the limit analysis upper bound method,a new model of soil slope collapse has been proposed which consists of two rigid block zones and a plastic shear zone.Soil slope was induced failure by coupling effect of rainfall and earthquake,and these blocks were also incorporated horizontal earthquake force and vertical gravitate.The velocities and forces were analyzed in three blocks,and the expression of velocity discontinuities was obtained by the principle of incompressibility.The external force work for the blocks,the internal energy of the plastic shear zone and the velocity discontinuous were solved.The present stability ratios are compared to the prevenient research,which shows the superiority of the mechanism and rationality of the analysis.The critical height of the soil slope can provide theoretical basis for slope support and design. 展开更多
关键词 soil slope coupling effect upper BOUND solution STABILITY ratio EARTHQUAKE RAINFALL
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Improved frequency modeling and solution for parallel liquid-filled pipes considering both fluid-structure interaction and structural coupling 被引量:1
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作者 Xumin GUO Chunliang XIAO +3 位作者 Hui MA Hui LI Xufang ZHANG Bangchun WEN 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2022年第8期1269-1288,共20页
The dynamic characteristics of a single liquid-filled pipe have been broadly studied in the previous literature.The parallel liquid-filled pipe(PLFP)system is also widely used in engineering,and its structure is more ... The dynamic characteristics of a single liquid-filled pipe have been broadly studied in the previous literature.The parallel liquid-filled pipe(PLFP)system is also widely used in engineering,and its structure is more complex than that of a single pipe.However,there are few reports about the dynamic characteristics of the PLFPs.Therefore,this paper proposes improved frequency modeling and solution for the PLFPs,involving the logical alignment principle and coupled matrix processing.The established model incorporates both the fluid-structure interaction(FSI)and the structural coupling of the PLFPs.The validity of the established model is verified by modal experiments.The effects of some unique parameters on the dynamic characteristics of the PLFPs are discussed.This work provides a feasible method for solving the FSI of multiple pipes in parallel and potential theoretical guidance for the dynamic analysis of the PLFPs in engineering. 展开更多
关键词 parallel liquid-filled pipe(PLFP) dynamic analysis improved frequency modeling and solution fluid-structure interaction(FSI) structure coupling
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Existence and iteration of monotone positive solutions for a third-order two-point boundary value problem 被引量:5
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作者 SUN Yong-ping 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第4期413-419,共7页
The existence of nondecreasing positive solutions for the nonlinear third-order two-point boundary value problem u'''(t) + q(t)f(t,u(t),u'(t)) = 0,0 < t < 1,u(0) = u''(0) = u'(1) = 0 ... The existence of nondecreasing positive solutions for the nonlinear third-order two-point boundary value problem u'''(t) + q(t)f(t,u(t),u'(t)) = 0,0 < t < 1,u(0) = u''(0) = u'(1) = 0 is studied.The iterative schemes for approximating the solutions are obtained by applying a monotone iterative method. 展开更多
关键词 三阶两点边值问题 单调迭代法 正解 存在性
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FEM COUPLING FIELD ITERATION AND ITS CONVERGENCE FOR A GMM ACTURATOR 被引量:2
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作者 CaoZhiton CaiJiongjiong ChenHongping HeGuoguang 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2005年第1期79-82,共4页
The coupling iteration (CI) of the finite element method(FEM) is used to simulate the magnetic and mechanical characteristics for a GMM actuator. The convergent ability under different prestress and different load typ... The coupling iteration (CI) of the finite element method(FEM) is used to simulate the magnetic and mechanical characteristics for a GMM actuator. The convergent ability under different prestress and different load types is investigated. Then the calculated deformations are compared with the experimental values. The results convince that the CI of FEM is suitable for the simulation of energy coupling and transformation mechanism of the GMM. At last, the output deformation properties are studied under different input currents, showing that there is a good compromise between good linearity and large strain under the prestress 6 MPa. 展开更多
关键词 磁致伸缩 金属材料 能量转换 耦合迭代 有限元 调速控制器
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Doubly Periodic Wave Solutions of Jaulent-Miodek Equations Using Variational Iteration Method Combined with Jacobian-function Method 被引量:2
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作者 ZHU Jia-Min LU Zhi-Ming LIU Yu-Lu 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第6期1403-1406,共4页
变化重复方法的优点之一是起始的猜测的免费选择。在这篇论文,我们使用 Jacobian 功能方法的基本想法与一些未知参数构造概括试用功能。Jaulent Miodek 方程被用来说明这个方法的有效性和便利,一些新明确的准确旅行波浪答案被获得了... 变化重复方法的优点之一是起始的猜测的免费选择。在这篇论文,我们使用 Jacobian 功能方法的基本想法与一些未知参数构造概括试用功能。Jaulent Miodek 方程被用来说明这个方法的有效性和便利,一些新明确的准确旅行波浪答案被获得了,它包括钟类型 soliton 答案,纽结类型 soliton 答案,独居的波浪答案,和二倍地周期的波浪答案。 展开更多
关键词 Jaulent-Miodek方程 雅可比行列式 函数解法 可变迭代方法
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FLUID-SOLID COUPLING MATHEMATICAL MODEL OF CONTAMINANT TRANSPORT IN UNSATURATED ZONE AND ITS ASYMPTOTICAL SOLUTION 被引量:4
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作者 薛强 梁冰 +1 位作者 刘晓丽 李宏艳 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第12期1475-1485,共11页
The process of contaminant transport is a problem of multicomponent and multiphase flow in unsaturated zone. Under the presupposition that gas existence affects water transport, a coupled mathematical model of contami... The process of contaminant transport is a problem of multicomponent and multiphase flow in unsaturated zone. Under the presupposition that gas existence affects water transport, a coupled mathematical model of contaminant transport in unsaturated zone has been established based on fluid_solid interaction mechanics theory. The asymptotical solutions to the nonlinear coupling mathematical model were accomplished by the perturbation and integral transformation method. The distribution law of pore pressure, pore water velocity and contaminant concentration in unsaturated zone has been presented under the conditions of with coupling and without coupling gas phase. An example problem was used to provide a quantitative verification and validation of the model. The asymptotical solution was compared with Faust model solution. The comparison results show reasonable agreement between asymptotical solution and Faust solution, and the gas effect and media deformation has a large impact on the contaminant transport. The theoretical basis is provided for forecasting contaminant transport and the determination of the relationship among pressure_saturation_permeability in laboratory. 展开更多
关键词 液体-固体耦合数学模型 杂质传输 多相流 不饱和带 孔压力分布 渐近解
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ITERATION SOLUTION OF THE MIXED FORMULATION IN NONLINEAR FEM
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作者 Wang Shoumei(Beijing University of Aeronautics and Astronautics, Beijing, China, 100083) 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 1996年第4期261-268,共8页
ITERATION SOLUTION OF THE MIXED FORMULATION IN NONLINEAR FEMWangShoumei(BeijingUniversityofAeronauticsandAst... ITERATION SOLUTION OF THE MIXED FORMULATION IN NONLINEAR FEMWangShoumei(BeijingUniversityofAeronauticsandAstronautics,Beijing... 展开更多
关键词 iteration solution NONLINEARITY finite element method PENALTY function hyper-elasticity
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COMPLETE EIGEN-SOLUTIONS FOR ANTI-PLANE NOTCHES WITH MULTI-MATERIALS BY SUPER-INVERSE ITERATION 被引量:1
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作者 Xu, YJ Yuan, S 《Acta Mechanica Solida Sinica》 SCIE EI 1997年第2期157-166,共10页
In this paper,the super-inverse iterative method is proposed to compute the accurateand complete eigen-solutions for anti-plane cracks/notches with multi-materials,arbitrary opening an-gles and various surface conditi... In this paper,the super-inverse iterative method is proposed to compute the accurateand complete eigen-solutions for anti-plane cracks/notches with multi-materials,arbitrary opening an-gles and various surface conditions.Taking the advantage of the knowledge of the variation forms ofthe eigen-functions,a series of numerical techniques are proposed to simplify the computation andspeed up the convergence rate of the inverse iteration.A number of numerical examples are given todemonstrate the excellent accuracy,efficiency and reliability of the proposed approach. 展开更多
关键词 ANTI-PLANE NOTCHES super-inverse ITERATIVE method eigen-function eigen-solution
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Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations
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作者 Tunde A. Adeosun Olugbenga J. Fenuga +3 位作者 Samuel O. Adelana Abosede M. John Ogunjimi Olalekan Kazeem B. Alao 《Applied Mathematics》 2013年第10期1405-1411,共7页
In this paper, we extend variational iteration method (VIM) to find approximate solutions of linear and nonlinear thirteenth order differential equations in boundary value problems. The method is based on boundary val... In this paper, we extend variational iteration method (VIM) to find approximate solutions of linear and nonlinear thirteenth order differential equations in boundary value problems. The method is based on boundary valued problems. Two numerical examples are presented for the numerical illustration of the method and their results are compared with those considered by [1,2]. The results reveal that VIM is very effective and highly promising in comparison with other numerical methods. 展开更多
关键词 VARIATIONAL iteration Method Boundary Value PROBLEMS Linear and Nonlinear PROBLEMS APPROXIMATE solution
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A New Kind of Iteration Method for Finding Approximate Periodic Solutions to Ordinary Diferential Equations
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作者 Wu Dong-xu Wang Cai-ling +1 位作者 Xu Xu Li Yong 《Communications in Mathematical Research》 CSCD 2013年第4期297-304,共8页
In this paper, a new kind of iteration technique for solving nonlinear ordinary diferential equations is described and used to give approximate periodic solutions for some well-known nonlinear problems. The most inter... In this paper, a new kind of iteration technique for solving nonlinear ordinary diferential equations is described and used to give approximate periodic solutions for some well-known nonlinear problems. The most interesting features of the proposed methods are its extreme simplicity and concise forms of iteration formula for a wide range of nonlinear problems. 展开更多
关键词 非线性常微分方程 周期解 迭代法 非线性问题 迭代技术 迭代公式 求解
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An exact inflationary solution in the chaotic model with non-minimal coupling
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作者 刘雄伟 杨树政 +1 位作者 陈世武 林恺 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第4期1362-1366,共5页
This paper presents a new exact inflationary solution to the non-minimally coupled scalar field. The inflation is driven by the evolution of a scalar field with inflation potential V(φ)= (λ/4)φ4 + b1φ2 + b2 + b3φ... This paper presents a new exact inflationary solution to the non-minimally coupled scalar field. The inflation is driven by the evolution of a scalar field with inflation potential V(φ)= (λ/4)φ4 + b1φ2 + b2 + b3φ-2 + b4φ-4. The spectral index of the scalar density fluctuations ns is consistent with the result of WMAP3 (Wilkinson Microwave Anisotropy Probe 3) for ΛCDM (Lambda-Cold Dark Matter). This model relaxes the constraint to the quartic coupling constant. And it can enter smoothly into a radiation-dominated stage when inflation ends. 展开更多
关键词 耦合标量场 通货膨胀 混沌模型 威尔金森微波各向异性探测器 生理盐水 光谱指数 冷暗物质 耦合常数
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FEM analyses for influences of pressure solution on thermo-hydro-mechanical coupling in porous rock mass
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作者 张玉军 杨朝帅 《Journal of Central South University》 SCIE EI CAS 2012年第8期2333-2339,共7页
The model of pressure solution for granular aggregate was introduced into the FEM code for analysis of thermo-hydro-mechanical (T-H-M) coupling in porous medium. Aiming at a hypothetical nuclear waste repository in an... The model of pressure solution for granular aggregate was introduced into the FEM code for analysis of thermo-hydro-mechanical (T-H-M) coupling in porous medium. Aiming at a hypothetical nuclear waste repository in an unsaturated quartz rock mass, two computation conditions were designed:1) the porosity and the permeability of rock mass are functions of pressure solution; 2) the porosity and the permeability are constants. Then the corresponding numerical simulations for a disposal period of 4 a were carried out, and the states of temperatures, porosities and permeabilities, pore pressures, flow velocities and stresses in the rock mass were investigated. The results show that at the end of the calculation in Case 1, pressure solution makes the porosities and the permeabilities decrease to 10%-45% and 0.05%-1.4% of their initial values, respectively. Under the action of the release heat of nuclear waste, the negative pore pressures both in Case 1 and Case 2 are 1.2-1.4 and 1.01-1.06 times of the initial values, respectively. So, the former represents an obvious effect of pressure solution. The magnitudes and distributions of stresses within the rock mass in the two calculation cases are the same. 展开更多
关键词 负孔隙水压力 机械耦合 多孔介质 有限元分析 岩体 水力 计算条件 孔隙度
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Novel Closed-Form Solution for Analyzing Mutual Coupling Between Cylindrical Comformal Rectangular Microstrip Patch Antennas
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作者 何芒 徐晓文 《Journal of Beijing Institute of Technology》 EI CAS 2003年第2期129-133,共5页
Based on the integral equation formulations and the moment method, a novel closed form solution for analyzing the mutual coupling effect between the cylindrical comformal rectangular microstrip patch antennas is prese... Based on the integral equation formulations and the moment method, a novel closed form solution for analyzing the mutual coupling effect between the cylindrical comformal rectangular microstrip patch antennas is presented. By using this algorithm, the elements of the impedance matrix and exciting vector are cast into closed forms, thus the computational efficiency is improved dramatically. Numerical results are presented to verify the validity and reliability of the algorithm. 展开更多
关键词 共形微波传输带天线 圆柱形天线 矩形补片 相互耦合 闭式解 矩量法
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Analytical Solution of Weak-Coupling Periodically Driven Two-Level System
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作者 ZHOU Qing-Ping FANG Mao-Fa 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第4期1025-1028,共4页
我们在场在弱联合的政体的周期性地驾驶的二水平的系统的一个近似分析答案。分析答案在对在回声和近的回声盒子的准确数字答案的好同意什么时候 &#937; &#8804; 0.3 &#969; <SUB > 有 &#937; 和 &#969; <... 我们在场在弱联合的政体的周期性地驾驶的二水平的系统的一个近似分析答案。分析答案在对在回声和近的回声盒子的准确数字答案的好同意什么时候 &#937; &#8804; 0.3 &#969; <SUB > 有 &#937; 和 &#969; <SUB 的 </SUB>> 分别地表示 Rabi 和转变频率的 </SUB> 。 展开更多
关键词 周期驱动双标准系统 分析解法 弱耦合体 物理研究
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Theoretical and Numerical Studies on the Coupling Deformation of Global Lateral Buckling and Walking of Submarine Pipeline
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作者 LIU Run HAO Xintong +3 位作者 LI Chengfeng LI Qingxin YU Zheng ZHAO Dang 《Journal of Ocean University of China》 SCIE CAS CSCD 2023年第6期1516-1528,共13页
Buckling initiation devices/techniques,including sleepers,distributed buoyancy,snake lay,and residual curvature method(RCM),have recently been widely applied in engineering.These initiated buckles may induce a long pi... Buckling initiation devices/techniques,including sleepers,distributed buoyancy,snake lay,and residual curvature method(RCM),have recently been widely applied in engineering.These initiated buckles may induce a long pipeline to transform into multiple short pipeline segments,which promote the occurrence of pipeline walking.Thus,a pipeline,which is designed to buckle laterally,may laterally and axially displace over time when subjected to repeated heating and cooling cycles.This study aims to reveal the coupling mechanism of pipeline walking and global lateral buckling.First,an analytic solution is proposed to estimate the walking of pipeline segments between two adjacent buckles.Then,the sensitivity of this method to heating and cooling cycles is analyzed.Results show the applicability of the proposed walking analytical solution of buckling pipelines.Subsequently,an influence analysis of walking on global buckling,including the capacity of buckling initiation,buckling amplitude,buckling mode,and failure assessment of the buckling pipeline,is performed.The results reveal that the effect of walking on the buckling axial force is negligible.However,pipeline walking will aggravate the asymmetry of the pipeline buckling and the failure parameters of the pipeline during the post-buckling. 展开更多
关键词 submarine pipeline global lateral buckling pipeline walking coupling deformation analytic solution
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Diverse soliton solutions and dynamical analysis of the discrete coupled mKdV equation with 4×4 Lax pair
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作者 刘雪珂 闻小永 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第12期179-191,共13页
Under consideration in this study is the discrete coupled modified Korteweg-de Vries(mKdV)equation with 4×4 Lax pair.Firstly,through using continuous limit technique,this discrete equation can be mapped to the co... Under consideration in this study is the discrete coupled modified Korteweg-de Vries(mKdV)equation with 4×4 Lax pair.Firstly,through using continuous limit technique,this discrete equation can be mapped to the coupled KdV and mKdV equations,which may depict the development of shallow water waves,the optical soliton propagation in cubic nonlinear media and the Alfven wave in a cold collision-free plasma.Secondly,the discrete generalized(r,N-r)-fold Darboux transformation is constructed and extended to solve this discrete coupled equation with the fourth-order linear spectral problem,from which diverse exact solutions including usual multi-soliton and semi-rational soliton solutions on the vanishing background,higher-order rational soliton and mixed hyperbolic-rational soliton solutions on the non-vanishing background are derived,and the limit states of some soliton and rational soliton solutions are analyzed by the asymptotic analysis technique.Finally,the numerical simulations are used to explore the dynamical behaviors of some exact soliton solutions.These results may be helpful for understanding some physical phenomena in fields of shallow water wave,optics,and plasma physics. 展开更多
关键词 discrete coupled mKdV equation continuous limit discrete generalized(r N-r)-fold Darboux transformation multi-soliton solutions rational soliton solutions
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Approximation Solutions of Nonlinear Strongly Accretive Operator Equations by Ishikawa Iteration Procedure with Errors
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作者 Luchuan Zeng 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2006年第1期31-39,共9页
<正>Let 1<ρ≤2,E be a real ρ-uniformly smooth Banach space and T:E→E be a continuous and strongly accretive operator.The purpose of this paper is to investigate the problem of approximating solutions to the ... <正>Let 1<ρ≤2,E be a real ρ-uniformly smooth Banach space and T:E→E be a continuous and strongly accretive operator.The purpose of this paper is to investigate the problem of approximating solutions to the equation Tx=f by the Ishikawa iteration procedure with errors (?) where x_0 ∈ E,{u_n},{υ_n}are bounded sequences in E and{α_n},{b_n},{c_n},{a_n~'},{b_n~'},{c_n~'} are real sequences in[0,1].Under the assumption of the condition 0<α≤b_n+c_n,An≥0, it is shown that the iterative sequence{x_n}converges strongly to the unique solution of the equation Tx=f.Furthermore,under no assumption of the condition(?)(b_n~'+c_n~')=0,it is also shown that{x_n}converges strongly to the unique solution of Tx=f. 展开更多
关键词 强增生算子方程 非线性 BANACH空间 平滑
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Numerical simulation for influences of pressure solution on T-H-M coupling in aggregate rock
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作者 张玉军 琚晓冬 《Journal of Central South University》 SCIE EI CAS 2014年第10期3936-3944,共9页
The pressure solution model of granular aggregates was introduced into a FEM code which was developed for the analysis of thermo-hydro-mechanical(T-H-M) coupling in porous medium. Aimed at creating a hypothetical mode... The pressure solution model of granular aggregates was introduced into a FEM code which was developed for the analysis of thermo-hydro-mechanical(T-H-M) coupling in porous medium. Aimed at creating a hypothetical model of nuclear waste disposal in unsaturated quartz aggregate rock mass with laboratory scale, two 4-year computation cases were designed: 1) The porosity and permeability of rock mass are functions of the pressure solution; 2) The porosity and the permeability are constants. Calculation results show that the magnitude and distribution of stresses in the rock mass of these two calculation cases are roughly the same. And, the porosity and the permeability decrease to 43%-54% and 4.4%-9.1% of their original values after case 1 being accomplished; but the negative pore water pressures in cases 1 and 2 are respectively 1.0-1.25 and 1.0-1.1 times of their initial values under the action of nuclear waste. Case 1 exhibits the obvious effect of pressure solution. 展开更多
关键词 压溶作用 THM 数值模拟 耦合 核废料处置 岩石 计算结果 有限元程序
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SOLUTION TO THE STRESS DISTRIBUTION ON THE SURFACE LAYER OF BUSHING ALLOY BY COUPLING BEM WITH ELASTICITY METHOD
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作者 范迅 孟惠荣 《Journal of China University of Mining and Technology》 1994年第2期32-38,共7页
In the design of the fatigue strength of dynamically loaded bearing in the equipmentssuch as internal combustion engines and roimg mun, the solution to the stress distribution on thebushing alloy layer is an important... In the design of the fatigue strength of dynamically loaded bearing in the equipmentssuch as internal combustion engines and roimg mun, the solution to the stress distribution on thebushing alloy layer is an important and difficult problem. In this paper, a new method has beenproposed by coupling BEM with etheticity method, The algorithm and its implementation were deseribed in details The calculation results verify that this up-dated method can provide us a moresimple and effective tool for solvingthe fatigue stress of the bushing alloy with tangible benefit oftime-saving and high computation accuraey. It may open a new vista in bearing fatigue strength design. 展开更多
关键词 疲劳承载能力 有限元分析 经向轴承 合金层 数学模型 计算机程序
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