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The interaction between a screw dislocation and a wedge-shaped crack in one-dimensional hexagonal piezoelectric quasicrystals 被引量:6
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作者 姜丽娟 刘官厅 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第4期245-251,共7页
Based on the fundamental equations of piezoelasticity of quasicrystal material,we investigated the interaction between a screw dislocation and a wedge-shaped crack in the piezoelectricity of one-dimensional hexagonal ... Based on the fundamental equations of piezoelasticity of quasicrystal material,we investigated the interaction between a screw dislocation and a wedge-shaped crack in the piezoelectricity of one-dimensional hexagonal quasicrystals.Explicit analytical solutions are obtained for stress and electric displacement intensity factors of the crack,as well as the force on dislocation.The derivation is based on the conformal mapping method and the perturbation technique.The influences of the wedge angle and dislocation location on the image force are also discussed.The results obtained in this paper can be fully reduced to some special cases already available or deriving new ones. 展开更多
关键词 one-dimensional hexagonal piezoelectric quasicrystals dislocation wedge-shaped crack interac-tion
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PENNY-SHAPED CRACK IN TRANSVERSELY ISOTROPIC PIEZOELECTRIC MATERIALS 被引量:2
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作者 王子昆 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1994年第1期49-60,共12页
Using a method of potential functions introduced successively to integrate the field equations of three-dimensional problems for transversely isotropic piezoelectric materials, we obtain the so-called general solution... Using a method of potential functions introduced successively to integrate the field equations of three-dimensional problems for transversely isotropic piezoelectric materials, we obtain the so-called general solution in which the dis- placement components and electric potential functions are represented by a singular function satisfying some special partial differential equations of 6th order. In order to analyse the mechanical-electric coupling behaviour of penny-shaped crack for above materials, another form of the general solution is obtained under cylindrical coordi- nate system by introducing three quasi-harmonic functions into the general equations obtained above. It is shown that both the two forms of the general solutions are complete. Furthermore, the mechanical-electric coupling behaviour of penny-shaped crack in transversely isotropic piezoelectric media is analysed under axisymmetric tensile loading case, and the crack-tip stress field and electric displacement field are obtained. The results show that the stress and the electric displacement components near the crack tip have (r^(-1/2)) singularity. 展开更多
关键词 piezoelectric material mechanical-electric coupling penny-shaped crack
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Crack Localization Using Transmissibility of Operational Deflection Shape and Its Application in Cantilever Beam 被引量:4
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作者 X. Z. Li X. B. Yue W. Huang 《Journal of Applied Mathematics and Physics》 2018年第11期2352-2361,共10页
Due to the nonlinearity of breathing crack, cracked structure under excitation of a single frequency always generates higher harmonic components. In this paper, operational deflection shape (ODS) at excitation frequen... Due to the nonlinearity of breathing crack, cracked structure under excitation of a single frequency always generates higher harmonic components. In this paper, operational deflection shape (ODS) at excitation frequency and its higher harmonic components are used to map the deflection pattern of cracked structure. While ODS is sensitive to local variation of structure in nature, a new concept named transmissibility of operational deflection shape (TODS) has been defined for crack localization using beam-like structure. The transmissibility indicates the energy transfer from basic frequency to higher frequency. Then, Teager energy operator (TEO) is employed as a singularity detector to reveal and characterize the features of TODS. Numerical and experimental analysis in cantilever beam show that TODS has strong sensitivity to crack and can locate the crack correctly. 展开更多
关键词 crack Localization BREATHING crack OPERATIONAL DEFLECTION shape TRANSMISSIBILITY
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Interactions of penny-shaped cracks in three-dimensional solids 被引量:2
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作者 Shige Zhan Tzuchiang Wang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2006年第4期341-353,共13页
The interaction of arbitrarily distributed penny-shaped cracks in three-dimensional solids is analyzed in this paper. Using oblate spheroidal coordinates and displacement functions, an analytic method is devel- oped i... The interaction of arbitrarily distributed penny-shaped cracks in three-dimensional solids is analyzed in this paper. Using oblate spheroidal coordinates and displacement functions, an analytic method is devel- oped in which the opening and the sliding displacements on each crack surface are taken as the basic unknown functions. The basic unknown functions can be expanded in series of Legendre polynomials with unknown coefficients. Based on superposition technique, a set of governing equations for the unknown coefficients are formulated from the traction free conditions on each crack surface. The boundary collocation procedure and the average method for crack-surface tractions are used for solving the governing equations. The solution can be obtained for quite closely located cracks. Numerical examples are given for several crack problems. By comparing the present results with other existing results, one can conclude that the present method provides a direct and efficient approach to deal with three-dimensional solids containing multiple cracks. 展开更多
关键词 Three-dimensional problem Penny-shaped cracks INTERACTION
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A PENNY-SHAPED CRACK IN A MAGNETOELECTROELASTIC LAYER UNDER RADIAL SHEAR IMPACT LOADING 被引量:2
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作者 Feng Wenjie Nie Hui Han Xu 《Acta Mechanica Solida Sinica》 SCIE EI 2007年第3期275-282,共8页
This paper analyzes the dynamic magnetoelectroelastic behavior induced by a pennyshaped crack in a magnetoelectroelastic layer. The crack surfaces are subjected to only radial shear impact loading. The Laplace and Han... This paper analyzes the dynamic magnetoelectroelastic behavior induced by a pennyshaped crack in a magnetoelectroelastic layer. The crack surfaces are subjected to only radial shear impact loading. The Laplace and Hankel transform techniques are employed to reduce the problem to solving a Fredholm integral equation. The dynamic stress intensity factor is obtained and numerically calculated for different layer heights. And the corresponding static solution is given by simple analysis. It is seen that the dynamic stress intensity factor for cracks in a magnetoelectroelastic layer has the same expression as that in a purely elastic material. And the influences of layer height on both the dynamic and static stress intensity factors are insignificant as h/a 〉 2. 展开更多
关键词 magnetoelectroelastic layer penny-shaped crack impact stress intensity factor Hankel transform Laplace transform
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A PENNY-SHAPED CRACK IN A TRANSVERSELY ISOTROPIC PIEZOELECTRIC SOLID:MODES Ⅱ AND Ⅲ PROBLEMS 被引量:2
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作者 陈伟球 丁皓江 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1999年第1期52-58,共7页
An exact analysis of the modes Ⅱ and Ⅲ problems of a penny- shaped crack in a transversely isotropic piezoelectric medium is performed in this paper.The potential theory method is employed based on the general solut... An exact analysis of the modes Ⅱ and Ⅲ problems of a penny- shaped crack in a transversely isotropic piezoelectric medium is performed in this paper.The potential theory method is employed based on the general solution of three-dimensional piezoelasticity and the four harmonics involved are represented by one complex potential.Previous results in potential theory are then utilized to obtain the exact solution that is expressed in terms of elementary functions.Comparison is made between the current results with those published and good agreement is obtained. 展开更多
关键词 transversely isotropic piezoelectric material general solution potential theory penny-shaped crack modes and
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CRACK TIP PLASTICITY OF A THERMALLY LOADED PENNY-SHAPED CRACK IN AN INFINITE SPACE OF 1D QC 被引量:2
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作者 Xiangyu Li Peidong Li Guozheng Kang 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2015年第5期471-483,共13页
The present work is concerned with a penny-shaped Dugdale crack embedded in an infinite space of one-dimensional (1D) hexagonal quasicrystals and subjected to two identical axisymmetric temperature loadings on the u... The present work is concerned with a penny-shaped Dugdale crack embedded in an infinite space of one-dimensional (1D) hexagonal quasicrystals and subjected to two identical axisymmetric temperature loadings on the upper and lower crack surfaces. Applying Dugdale hypothesis to thermo-elastic results, the extent of the plastic zone at the crack tip is determined. The normal stress outside the plastic zone and crack surface displacement are derived in terms of special functions. For a uniform loading case, the corresponding results are presented by simpli- fying the preceding results. Numerical calculations are carried out to show the influence of some parameters. 展开更多
关键词 penny-shaped Dugdale crack plastic zone 1D hexagonal quasicrystals thermalloadings
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THE EFFECTS OF THREE-DIMENSIONAL PENNY-SHAPED CRACKS ON ZONAL DISINTEGRATION OF THE SURROUNDING ROCK MASSES AROUND A DEEP CIRCULAR TUNNEL 被引量:2
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作者 Xiaoping Zhou Qihu Qian Hanfei Song 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2015年第6期722-734,共13页
In this study, it was assumed that three-dimensional penny-shaped cracks existed in deep rock masses. A new non-Euclidean model was established, in which the effects of penny- shaped cracks and axial in-situ stress on... In this study, it was assumed that three-dimensional penny-shaped cracks existed in deep rock masses. A new non-Euclidean model was established, in which the effects of penny- shaped cracks and axial in-situ stress on zonal disintegration of deep rock masses were taken into account. Based on the non-Euclidean model, the stress intensity factors at tips of the penny- shaped cracks were determined. The strain energy density factor was applied to investigate the occurrence of fractured zones. It was observed from the numerical results that the magnitude and location of fractured zones were sensitive to micro- and macro-mechanical parameters, as well as the value of in-situ stress. The numerical results were in good agreement with the experimental data. 展开更多
关键词 deep rock masses containing penny-shaped cracks the non-Euclidean model axial in-situ stress fractured zones zonal disintegration phenomenon deep circular tunnel
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The influence of joint geometric parameters on shape factor of butt joint with center through crack
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作者 张敬强 杨建国 +3 位作者 王涛 刘雪松 董志波 方洪渊 《China Welding》 EI CAS 2012年第2期52-54,共3页
In this research, the influence of such joint geometric parameters as weld width and reinforcement on shape ~actor of butt joint with center crack subjected to static loading was investigated by finite element analyse... In this research, the influence of such joint geometric parameters as weld width and reinforcement on shape ~actor of butt joint with center crack subjected to static loading was investigated by finite element analyses method. According to the analytical resuhs, a well fracture resistant joint shape of butt joint with center crack has been approved. 展开更多
关键词 joint geometric parameters butt joint with center crack shape factor
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Penny-shaped interfacial crack between dissimilar magnetoelectroelastic layers
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作者 Yan-Song Li Zeng-He Xu Wen-Jie Feng 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第3期371-381,共11页
A penny-shaped interfacial crack between dissimilar magnetoelectroelastic layers subjected to magnetoelectromechanical loads is investigated,where the magnetoelectrically impermeable crack surface condition is adopted... A penny-shaped interfacial crack between dissimilar magnetoelectroelastic layers subjected to magnetoelectromechanical loads is investigated,where the magnetoelectrically impermeable crack surface condition is adopted. By using Hankel transform technique,the mixed boundary value problem is firstly reduced to a system of singular integral equations,which are further reduced to a system of algebraic equations. The field intensity factors and energy release rate are finally derived. Numerical results elucidate the eects of crack configuration,electric and/or magnetic loads,and material parameters of the magnetoelectroelastic layers on crack propagation and growth. This work should be useful for the design of magnetoelectroelastic composite structures. 展开更多
关键词 Interfacial crack . Penny-shaped crack - Hankel transform . Energy release rate.Magnetoelectroelastic layer
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A DECAGONAL QUASICRYSTAL WITH AN ARC-SHAPED CRACK
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作者 Wang Xu Zhong Zheng 《Acta Mechanica Solida Sinica》 SCIE EI 2003年第1期8-15,共8页
A decagonal quasicrystal, which is weakened by an arc-shaped crackpenetrating through the solid in the period direction, and which is subjected to remote uniformphonon stresses, is investigated by applying the complex... A decagonal quasicrystal, which is weakened by an arc-shaped crackpenetrating through the solid in the period direction, and which is subjected to remote uniformphonon stresses, is investigated by applying the complex variable method which is just developed bythe authors. It is found that the phonon and phason stresses near the crack tips exhibit inversesquare root singularities. The four complex stress functions characterizing the phonon and phasonfields are derived. Explicit expressions for the phonon and phason stress intensity factors, crackopening displacements and energy release rate are also presented. 展开更多
关键词 decagonal quasicrystal arc-shaped crack stress intensity factor energyrelease rate
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Analytical solution for a strained reinforcement layer bonded to lip-shaped crack under remote modeⅢuniform load and concentrated load
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作者 刘又文 谢超 +1 位作者 蒋纯志 方棋洪 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2010年第9期1125-1140,共16页
In this paper, the analytical solution of stress field for a strained reinforcement layer bonded to a lip-shaped crack under a remote mode III uniform load and a concentrated load is obtained explicitly in the series ... In this paper, the analytical solution of stress field for a strained reinforcement layer bonded to a lip-shaped crack under a remote mode III uniform load and a concentrated load is obtained explicitly in the series form by using the technical of conformal mapping and the method of analytic continuation. The effects of material combinations, bond of interface and geometric configurations on interfaciai stresses generated by eigenstrain, remote load and concentrated load are studied. The results show that the stress concentration and interfaciai stresses can be reduced by rational material combinations and geometric configurations designs for different load forms. 展开更多
关键词 lip-shaped crack strained reinforcement layer concentrated load remote load eigenstrain interfacial stress
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INFLUENCE OF GRAIN SHAPE AND CARBIDE ON CREEP CRACK GROWTH IN HK40
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作者 ZHU Shijie Institute of Metal Research,Academia Sinica,Shenyang,China ZHAO Jie Fushun Institute of Petrochemistry,Fushun,China WANG Fugang Dalian University of Technology,Dalian,China Institute of Metal Research,Academia Sinica,Shenyang 110015 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 1990年第6期449-452,共4页
The influence of two different grain shapes and carbides in the HK40 alloy,the material for use of furnace tube,on the rate of creep crack growth has been investigated.The resistance to creep crack growth of the mater... The influence of two different grain shapes and carbides in the HK40 alloy,the material for use of furnace tube,on the rate of creep crack growth has been investigated.The resistance to creep crack growth of the material with columnar grains is inferior than that with equiaxial grains when the load line is perpendicular to the columnar grain axis.The influence of secon- dary carbide on the rate of creep crack propagation depends upon the Brain shape. 展开更多
关键词 grain shape creep rate crack propagation
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Stresses due to an adhesion crack in T-shaped junction of two orthotropic plates
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作者 Dai-Heng Chen 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第2期419-423,共5页
The general solution of stresses is derived for a T-shaped junction of two thin plates with an adhesion crack. The plates are orthotropic. A shear force is applied on the crack surface. The analysis is based on the su... The general solution of stresses is derived for a T-shaped junction of two thin plates with an adhesion crack. The plates are orthotropic. A shear force is applied on the crack surface. The analysis is based on the supposition that the stresses in each plate can be approximated by a plane stress condition. The results obtained are verified by numerical calculation of FEM. 展开更多
关键词 ELASTICITY crack Thin plate T-shaped Junc-tion Hilbert Problem
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TORSIONAL IMPACT RESPONSE OF A PENNY-SHAPED CRACK IN A FUNCTIONAL GRADED STRIP
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作者 冯文杰 李向国 王守东 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第12期1398-1404,共7页
The torsional impact response of a penny-shaped crack in a nonhomogeneous strip is considered. The shear modulus is assumed to be functionally graded such that the mathematics is tractable. Laplace and Hankel transfor... The torsional impact response of a penny-shaped crack in a nonhomogeneous strip is considered. The shear modulus is assumed to be functionally graded such that the mathematics is tractable. Laplace and Hankel transforms were used to reduce the problem to solving a Fredholm integral equation. The crack tip stress field is obtained by considering the asymptotic behavior of Bessel function. Explicit expressions of both the dynamic stress intensity factor and the energy density factor were derived.And it is shown that, as crack driving force, they are equivalent for the present crack problem. Investigated are the effects of material nonhomogeneity and (strip's) highness on the dynamic fracture behavior. Numerical results reveal that the peak of the dynamic stress intensity factor can be suppressed by increasing the nonhomogeneity parameter of the shear modulus, and that the dynamic behavior varies little with the adjusting of the strip's highness. 展开更多
关键词 dynamic stress intensity factor torsional impact penny-shaped crack functionally graded strip integral transform energy density factor
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腐蚀环境下裂纹形状对抽油杆裂纹扩展寿命的影响分析
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作者 冷建成 岳江红 +1 位作者 张新 许宏伟 《机械强度》 北大核心 2026年第1期56-62,共7页
【目的】为明确不同初始裂纹形状对抽油杆疲劳寿命的影响,基于FRANC3D断裂力学软件对腐蚀环境下的抽油杆进行裂纹扩展模拟及剩余使用寿命(Remaining Useful Life,RUL)预测。【方法】首先,通过对比Newman-Raju解,验证了M积分法计算应力... 【目的】为明确不同初始裂纹形状对抽油杆疲劳寿命的影响,基于FRANC3D断裂力学软件对腐蚀环境下的抽油杆进行裂纹扩展模拟及剩余使用寿命(Remaining Useful Life,RUL)预测。【方法】首先,通过对比Newman-Raju解,验证了M积分法计算应力强度因子的仿真精度。其次,基于Ansys WorkBench软件建立了在役抽油杆有限元模型并进行了仿真分析,得出von Mises最大应力位于退刀槽与台肩的交接位置。最后,基于Python接口对FRANC3D进行二次开发,在无腐蚀和腐蚀环境下分别对半椭圆形裂纹和长浅表面裂纹进行了裂纹扩展模拟。【结果】结果表明,两种裂纹扩展时均是先中间扩展快逐步变为两端扩展快,在裂纹扩展到一定深度时裂纹前缘会逐渐椭圆化,从而对后续的裂纹扩展速率影响减小;腐蚀环境下的RUL比无腐蚀工况下分别降低28.95%和28.32%。研究结果可为在役抽油杆的RUL预测提供参考。 展开更多
关键词 断裂力学 裂纹扩展 裂纹形状 剩余使用寿命 抽油杆
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Determination of Two-Dimensional Plastic Zone Shape and SIF at Crack-Tip Using RKPM
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作者 Masood Hajali Caesar Abishdid 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2013年第12期103-114,共12页
Reproducing kernel particle Method (RKPM) is a meshless technology which has proven very useful for solving problems of elastic plastic fracture mechanics. The mode I plastic zone shape at the crack-tip in a work-ha... Reproducing kernel particle Method (RKPM) is a meshless technology which has proven very useful for solving problems of elastic plastic fracture mechanics. The mode I plastic zone shape at the crack-tip in a work-hard ening material is obtained using RKPM. Ramberg-Osgood stress-strain relation is assumed and the crack-tip stress intensity factor (SIF) before and after formation of the plastic zone are examined. To impose the essential boundary conditions, penalty method is used. To construct the shape functions in the vicinity of the crack and crack-tip, both the diffraction and visibility criteria are employed. A comparison between two conventional treatments, visibility and diffraction, to crack discontinuity is conducted. The effects of different dilation parameters on SIF under plane-stress and plane-strain conditions are ~tudied. Results including plastic zone shape are compared with finite element method (FEM) to show the accuracy of RKPM. The main objective is to study the effects of different dilation parameters on SIF under plane stress and plane strain conditions and to obtain the mode I plastic zone shape at the crack-tip in a work hardening material using RKPM. 展开更多
关键词 MESHLESS reproducing kernel particle method (RKPM) crack-TIP stress intensity factor (SIF) plastic zone shape
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裂纹形状和激振位置对瓷支柱绝缘子振动检测的影响研究
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作者 董国振 李国维 +3 位作者 王勇 敬尚前 宗方蕊 万书亭 《高压电器》 北大核心 2026年第1期152-159,共8页
根据变电站瓷支柱绝缘子带电检测缺陷的实际需求,以220 kV瓷支柱绝缘子为研究对象,深入研究了裂纹长度、裂纹形状和激振位置对瓷支柱绝缘子振动检测的影响。首先阐述了瓷支柱绝缘子内部缺陷振动检测的基本原理,然后建立瓷支柱绝缘子有... 根据变电站瓷支柱绝缘子带电检测缺陷的实际需求,以220 kV瓷支柱绝缘子为研究对象,深入研究了裂纹长度、裂纹形状和激振位置对瓷支柱绝缘子振动检测的影响。首先阐述了瓷支柱绝缘子内部缺陷振动检测的基本原理,然后建立瓷支柱绝缘子有限元数值分析模型,利用脉冲信号模拟锤击进行瞬态分析,并搭建实验平台进行测试分析。仿真和实验结果表明:裂纹长度越大,在功率谱图上表现为正常频率区间内的峰值降低,故障区间内的峰值所对应固有频率左移,激振点远离裂纹侧时波峰的加速度响应谱值出现小幅度的减小,但不会影响对瓷支柱绝缘子内部缺陷的判断,裂纹的连续分布特性和形状不影响振动检测的灵敏度。 展开更多
关键词 瓷支柱绝缘子 振动检测 裂纹形状 裂纹长度 激振位置
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Simulation of Fatigue Life Behavior of Circular Cross-Section Bar with Straight-Fronted Crack
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作者 Hamid Alihosseini Kamran Dehghani Ghader Faraji 《Modeling and Numerical Simulation of Material Science》 2014年第3期128-135,共8页
In this paper, fatigue life circular cross-section elastic bar under pure fatigue axial loading is studied through principles of linear elastic fracture mechanics (LEFM) coupled with the three-dimensional finite eleme... In this paper, fatigue life circular cross-section elastic bar under pure fatigue axial loading is studied through principles of linear elastic fracture mechanics (LEFM) coupled with the three-dimensional finite element technique for determination of critical crack size and residual lifetime. Three different initial notch depths are discussed. The relations between aspect ratio (b/c) and relative crack depth (b/D) are obtained, and it is shown that there is great difference in the growth of cracks with different front shapes and initial notch depths. 展开更多
关键词 SIMULATION FATIGUE LIFE crack shape
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Unusual W-shaped Galvanic Cell Model of ISCC of α-brass in Neutral Mattsson's Solution
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作者 伍绍彬 R.J.Arsenault I.R.Kramer 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 1989年第2期101-112,共12页
Intergranular stress corrosion cracking (ISCC) of α-brass in neutral Mattsson's solution was found to be controlled by an unusual 'W'-shaped galvanic cell whose cathode is the grain boundary oxide film (G... Intergranular stress corrosion cracking (ISCC) of α-brass in neutral Mattsson's solution was found to be controlled by an unusual 'W'-shaped galvanic cell whose cathode is the grain boundary oxide film (G.B.0. film) and surface film and the anode is fresh metal at the cracked tip on both sides of the G.B.0. film. Redox reactions involved in the cell have been proposed here. According to this mdel, initidtion of ISCC is caused by the rupturing of surface film along grain boundaries, thus forming a galvanic cell. Propagation of ISCC resulted from alternate advances of G.B.0. film and dissolution on both sides of G.B.0. film caused by the effect of electrochemical reaction. This work developed an effective approach to investigate the embrittlement process at the tip of the crack, by increasing the length of the embrittlement region through constant strain test and distinguishing the morphology and the nature of the corrosion products by optical microscopy and scanning electron microscopy (SEH). 展开更多
关键词 α-brass intergranular stress corrosion cracking W-shaped cell model grain boundary oxide film
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