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三因素裂随机试验设计及其统计分析 被引量:2
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作者 陈庭木 王宝祥 +4 位作者 刘艳 徐波 邢运高 杨波 徐大勇 《宜春学院学报》 2017年第6期88-92,共5页
三因素试验,能研究更多因素对研究目标的综合影响,本文提出一种新的三因素裂随机试验设计,给出了自由度与平方和分解方案,固定模型、随机模型及两种混合模型的均方构成,同时提出了随机模型误差方差计算方法。
关键词 三因素试验 裂随机 统计模型 方差分析
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3因素随机裂区试验设计及其统计分析 被引量:3
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作者 陈庭木 王宝祥 +4 位作者 杨波 迟铭 李键 宋兆强 徐大勇 《安徽农业科学》 CAS 2017年第25期3-5,7,共4页
提出一种新的3因素随机裂区试验设计,给出了自由度与平方和分解方案,以及固定模型、随机模型及2种混合模型的均方构成,同时提出了随机模型误差方差计算方法。
关键词 3因素试验 随机 统计模型 方差分析
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任意随机变量序列的大数定律 被引量:1
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作者 张丽娜 王淑云 《河北师范大学学报(自然科学版)》 CAS 2000年第4期444-447,共4页
设 { Xn,n≥ 0 }是任意实值随机变量序列 ,并且尾概率一致有界于随机变量 X0 .通过构造适当的鞅 ,利用鞅收敛定理讨论随机变量序列 { Xn,n≥ 0 }的强极限定理和强弱大数定律 ,得到了大数定律成立的充分条件 ,推广了费勒在 1 94
关键词 大数定律 鞅差 几乎处处收敛 随机变量序 强极限定理 鞅收敛定理 尾概率一致有界
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结构的最优预防性维修周期 被引量:8
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作者 邹小理 《航空学报》 EI CAS CSCD 北大核心 1997年第3期363-366,共4页
提出了一种计算结构最优预防性维修周期的模型。首先将结构的初始损伤、使用过程中的损伤累积用主裂纹长度的分布加以定量描述。针对预防维修只能在离散的时间点上进行的结构,考虑结构的失效损失费和维修费用,根据使结构单位使用时间... 提出了一种计算结构最优预防性维修周期的模型。首先将结构的初始损伤、使用过程中的损伤累积用主裂纹长度的分布加以定量描述。针对预防维修只能在离散的时间点上进行的结构,考虑结构的失效损失费和维修费用,根据使结构单位使用时间的费用(费用率)达到最小的原则,建立了选择最优预防维修周期的方法。最后对一结构作了具体计算。 展开更多
关键词 预防性维修 决策优化 随机扩展 飞机结构
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BLOCK SPECTRUM CHARACTERISTICS AND FATIGUE CRACK RANDOM GROWTH 被引量:1
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作者 杨晓华 姚卫星 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1995年第2期206-211,共6页
Two parameters,block spectrum intensity Seq and spectrum shape factor a,which describe the characteristics of the loading block spectrum are defined,and the relationship between the parameters and fatigue crack propag... Two parameters,block spectrum intensity Seq and spectrum shape factor a,which describe the characteristics of the loading block spectrum are defined,and the relationship between the parameters and fatigue crack propagation behaviours is investigated.It is shown that the spectrum intensity is an 'average drive force' of fatigue crack propagation,and the variance of fatigue crack size at a given fatigue life is closely related to the spectrum shape factor α. 展开更多
关键词 fatigue crack loading distribution random distribution material scatter block spectrum intensity shape factor
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Simulation of failure process of jointed rock 被引量:8
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作者 张秀丽 焦玉勇 赵坚 《Journal of Central South University of Technology》 EI 2008年第6期888-894,共7页
A modified discontinuous deformation analysis (DDA) algorithm was proposed to simulate the failure behavior of jointed rock. In the proposed algorithm, by using the Monte-Carlo technique, random joint network was gene... A modified discontinuous deformation analysis (DDA) algorithm was proposed to simulate the failure behavior of jointed rock. In the proposed algorithm, by using the Monte-Carlo technique, random joint network was generated in the domain of interest. Based on the joint network, the triangular DDA block system was automatically generated by adopting the advanced front method. In the process of generating blocks, numerous artificial joints came into being, and once the stress states at some artificial joints satisfy the failure criterion given beforehand, artificial joints will turn into real joints. In this way, the whole fragmentation process of rock mass can be replicated. The algorithm logic was described in detail, and several numerical examples were carried out to obtain some insight into the failure behavior of rock mass containing random joints. From the numerical results, it can be found that the crack initiates from the crack tip, the growth direction of the crack depends upon the loading and constraint conditions, and the proposed method can reproduce some complicated phenomena in the whole process of rock failure. 展开更多
关键词 discontinuous deformation analysis jointed rock rock failure Monte-Carlo technique random joint network advancing front method triangular block system
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Effects of porosity on tensile mechanical properties of porous FeAl intermetallics 被引量:2
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作者 Shu-lan SU Qiu-hua RAO +1 位作者 Yue-hui HE Wei XIE 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2020年第10期2757-2763,共7页
Uniaxial tensile tests and scanning electron microscopy(SEM)experiments were carried out on the porous FeAl intermetallics(porosities of 41.1%,44.2%and 49.3%,pore size of 15−30μm)prepared by our research group to stu... Uniaxial tensile tests and scanning electron microscopy(SEM)experiments were carried out on the porous FeAl intermetallics(porosities of 41.1%,44.2%and 49.3%,pore size of 15−30μm)prepared by our research group to study the macroscopic mechanical properties and microscopic failure mechanism.The results show that the tensileσ−εcurves of the porous FeAl with different porosities can be divided into four stages:elasticity,yielding,strengthening and failure,without necking phenomenon.The elastic modulus,ultimate strength and elongation decrease with the increase of porosity and the elongation is much lower than 5%.A macroscopic brittle fracture appears,and the microscopic fracture mechanism is mainly intergranular fracture,depending on the Al content in the dense FeAl intermetallics.In addition,the stochastic porous model(SPM)with random pore structure size and distribution is established by designing a self-compiling generation program in FORTRAN language.Combined with the secondary development platform of finite element software ANSYS,the effective elastic moduli of the porous FeAl can be determined by elastic analysis of SPM and they are close to the experimental values,which can verify the validity of the established SPM for analyzing the elastic properties of the porous material. 展开更多
关键词 porous FeAl intermetallics uniaxial tensile fracture mechanism stochastic porous model(SPM) equivalent elastic modulus
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COUPLING MODEL OF TWO PHASE FLOW IN A FRACTURE-ROCK MATRIX SYSTEM AND ITS STOCHASTIC FEATURE ANALYSIS
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作者 王经明 李竞生 +1 位作者 高智联 杨保禹 《Journal of Coal Science & Engineering(China)》 1998年第1期5-10,共6页
This study is concerned with developing a two-dimensional two-phase model that simulate the movement of non-aqueous phase liquid (NAPL) in a fracture-rock matrix system. The intrinsic permeability and the fracture ape... This study is concerned with developing a two-dimensional two-phase model that simulate the movement of non-aqueous phase liquid (NAPL) in a fracture-rock matrix system. The intrinsic permeability and the fracture aperture are represented in the model via its KarhunenLoeve expansion. Other parameters and the nodal unknowns, water saturations and water pressures, are represented by their stochastic spectral expansions. The errors resulting from truncation of Karhunen - Loeve and polynomial chaos expansions to a finite number of terms are analyzed. The eigenvalues of stochastic process is found out for any point in the special domain of the problem at any instant in time. 展开更多
关键词 discrete dual medium TWO-PHASE flow coupling model stochastic process
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基于弹塑性剪滞理论的单丝复合材料段裂过程的蒙特卡罗模拟 被引量:4
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作者 王晓宏 张博明 +1 位作者 杜善义 孙新杨 《复合材料学报》 EI CAS CSCD 北大核心 2010年第5期1-6,共6页
单丝复合材料段裂试验(SFCFT)中,随着外载荷的增加,纤维出现了随机脆断的现象,并在一定的载荷下纤维的段裂数达到"饱和"状态(即纤维段裂数目不再增加),该试验常用于表征纤维与基体间界面性能。针对该试验,本文中充分考虑了组... 单丝复合材料段裂试验(SFCFT)中,随着外载荷的增加,纤维出现了随机脆断的现象,并在一定的载荷下纤维的段裂数达到"饱和"状态(即纤维段裂数目不再增加),该试验常用于表征纤维与基体间界面性能。针对该试验,本文中充分考虑了组分材料的真实性能(即基体材料的弹塑性性能),利用弹塑性剪滞理论进行纤维与基体间的应力传递分析,初步获得较真实的纤维轴向应力及界面剪应力分布形式;在此基础上,考虑纤维强度分布的非均匀性,利用蒙特卡罗(Monte Carlo)方法对试验中纤维的随机段裂过程进行了模拟预报,获得载荷与纤维的段裂数的关系。模拟预报与试验结果比较吻合,表明该应力分析及模拟方法的有效性。 展开更多
关键词 单丝复合材料 界面 剪滞模型 蒙特卡罗模拟 随机
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Determination of critical slip surface of fractured rock slopes based on fracture orientation data 被引量:5
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作者 ZHANG Wen CHEN JianPing +3 位作者 ZHANG Wu L Yan MA YuFei XIONG Hui 《Science China(Technological Sciences)》 SCIE EI CAS 2013年第5期1248-1256,共9页
The critical slip surface of a fractured rock slope tends to extend along the fractures.Thus,fracture orientation plays a critical role in determining the critical slip surface.Based on fracture orientation data,this ... The critical slip surface of a fractured rock slope tends to extend along the fractures.Thus,fracture orientation plays a critical role in determining the critical slip surface.Based on fracture orientation data,this paper examines the critical slip surfaces of fractured rock slopes.Given that the surface of a fractured rock slope extends along the fracture surfaces,or the wedges,with each composed of two arbitrary fractures,the critical slip surface is determined via stochastic dynamics.In addition,a fracture frequency method is proposed as a means of analyzing the critical slip surface.According to this method,the critical slip surface slips in whichever direction has the lowest fracture frequency.Based on the stochastic dynamics method and the fracture frequency method,the critical slip surface of the slope is finally determined,that is,the critical slip surface takes the form of a plane passing the slope toe with a dip of 120° and a dip angle of 45°. 展开更多
关键词 fractured rock slope critical slip surface stochastic dynamics method fracture frequency method
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Contributions of non-tectonic micro-fractures to hydraulic fracturing—A numerical investigation based on FSD model 被引量:1
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作者 WANG Yu Li Xiao +3 位作者 ZHAO ZhiHeng ZHOU RunQing ZHANG Bo LI GuanFang 《Science China Earth Sciences》 SCIE EI CAS CSCD 2016年第4期851-865,共15页
Shale gas has been discovered in the Upper Triassic Yanchang Formation, Ordos Basin, China. Due to the weak tectonic activities in which the shale plays, core observations indicate abundant random non-tectonic micro- ... Shale gas has been discovered in the Upper Triassic Yanchang Formation, Ordos Basin, China. Due to the weak tectonic activities in which the shale plays, core observations indicate abundant random non-tectonic micro- fractures in the producing shales. The non-tectonic micro-fractures are different from tectonic fractures and are characterized by being irregular, curved, discontinuous, and randomly distributed. The role of micro-fractures in hydraulic fracturing for shale gas development is currently poorly understood yet potentially critical. Two-dimensional computational modeling studies have been used in an initial attempt toward understanding how naturally random fractured reservoirs respond during hydraulic fracturing. The aim of the paper is to investigate the effect of random non-tectonic fractures on hydraulic fracturing. The numerical models with random non-tectonic micro-fractures are built by extracting the fractures of rock blocks after repeated heating and cooling, using a digital image process. Simulations were conducted as a function of:(1) the in-situ stress ratio;(2) internal friction angle of random fractures;(3) cohesion of random fractures;(4) operational variables such as injection rate; and(5) variable injection rate technology. A sensitivity study reveals a number of interesting observations resulting from these parameters on the shear stimulation in a natural fracture system. Three types of fracturing networks were observed from the studied simulations, and the results also show that variable injection rate technology is most promising for producing complex fracturing networks. This work strongly links the production technology and geomechanical evaluation. It can aid in the understanding and optimization of hydraulic fracturing simulations in naturally random fractured reservoirs. 展开更多
关键词 Non-tectonic micro-fracture Hydraulic fracturing Fracturing network Numerical simulation
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