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Grain Boundary Accumulation of Geometrically Necessary Dislocations and Asymmetric Deformations in Compatible Bicrystals with Tilted Angle Grain Boundary under Tensile Loading 拉伸载荷下倾斜晶界相容双晶中几何必要位错和不对称变形的晶界积累
Ryouji Kondou, T. Ohashi
Slip deformation in compatible bicrystal models with a tilted angle grain boundary subjected to tensile load is investigated using a finite element crystal plasticity analysis code. The accumulation of geometrically necessary dislocations (GNDs) and statistically stored dislocations (SSDs) is studied in detail. Uniform deformation was expected to occur because the mutual constraint of crystal grains through the grain boundary plane does not occur in compatible bicrystals, but some results of the analysis show asymmetric deformation with the accumulation of GNDs near the grain boundary caused by the difference in strain hardening of slip systems, kink bands perpendicular to the primary slip direction and secondary slip bands parallel to the primary slip plane with accumulation of GNDs on the primary slip system in the form of bands. The mechanism of dislocation pattern formation in the bicrystals with a tilted angle grain boundary is discussed from the viewpoint of an imaginary disclination deformation field with pair body interaction.
采用有限元晶体塑性分析程序研究了具有倾斜晶界的兼容双晶模型在拉伸载荷作用下的滑移变形。详细研究了几何必要位错(GNDs)和统计存储位错(ssd)的累积。由于相容双晶中晶粒通过晶界面的相互约束不会发生,因此预计会发生均匀变形,但一些分析结果表明,由于滑移系统应变硬化的差异,晶界附近GNDs的积累导致了不对称变形。垂直于主要滑移方向的扭结带和平行于主要滑移面的次级滑移带,在主要滑移体系上以带的形式堆积着GNDs。从假想偏斜变形场和对体相互作用的角度讨论了具有倾斜晶界的双晶中位错模式的形成机制。
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引用次数: 5
Analysis of Mechanical Behavior of Polymers Using Molecular Chain Network Model 用分子链网络模型分析聚合物的力学行为
A. Shinozaki, H. Inoue, K. Kishimoto
A computational procedure for analyzing the deformation and fracture of solid polymers is developed based on a molecular chain model. In the model, the polymer solid is represented by a network of nonlinear elastic chains. Cellular automata modeling is employed to generate the network of polymer chains. Van der Waals and viscous forces acting on the chains are taken into account and are approximated to act at the nodal points of the network. A stiffness equation is derived by employing the principle of virtual work, in which geometrical nonlinearity due to a large deformation is considered. Slippage and scission of chains are also taken into consideration. The effects of molecular weight distribution and molecular chain scission due to UV-degradation are discussed.
提出了一种基于分子链模型的分析固体聚合物变形和断裂的计算方法。在该模型中,聚合物固体由非线性弹性链网络表示。采用元胞自动机建模生成聚合物链网络。考虑了作用在链上的范德华力和粘性力,并近似地作用于网络的节点。利用虚功原理,推导了考虑大变形引起的几何非线性的刚度方程。还考虑了链条的滑移和断裂。讨论了紫外降解对分子量分布和分子链断裂的影响。
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引用次数: 0
Direct Welding of Metals and Ceramics by Ultrasonic Vibration 金属和陶瓷的超声波直焊
H. Imai, S. Matsuoka
This paper describes the experimental results of ultrasonically welding ceramics and metals. In comparison to other methods, ultrasonic vibration is easier and quicker for welding ceramics, such as ZrO2, SiC, and Si3N4, and metals such as aluminum, magnesium, and copper. In this study, ceramics and Mg were welded under the following conditions: amplitude, 30µm; welding pressure, 10MPa; required duration, 1.0s. Ultrasonic welding of the ceramics with metals was possible when the condition E=KPn < f(P, E) (E: energy density P: welding pressure) was satisfied and the welding interface temperature was in the range of 300-400°C. When the ceramics were preheated, welding was possible within a short time and under low pressure, and the material had good weldability even at a high temperature (200°C). It is presumed that in this environment, oxide and organic films are efficiently removed from the bonded interfaces by the vibration of ultrasonic waves.
本文介绍了超声焊接陶瓷和金属的实验结果。与其他方法相比,超声波振动更容易和更快地焊接陶瓷,如ZrO2, SiC和Si3N4,以及金属,如铝,镁和铜。在本研究中,陶瓷与Mg在以下条件下焊接:振幅为30µm;焊接压力,10MPa;所需持续时间,1.0秒。当E=KPn < f(P, E) (E:能量密度P:焊接压力),焊接界面温度在300 ~ 400℃范围内时,可以实现陶瓷与金属的超声焊接。对陶瓷进行预热后,可以在短时间内、低压力下进行焊接,即使在高温(200℃)下,材料也具有良好的可焊性。可以推测,在这种环境下,氧化物和有机膜通过超声波的振动有效地从键合界面上去除。
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引用次数: 17
Effect of Loading Frequency on Fatigue Crack Growth between a Submicron-Thick Film and a Substrate 加载频率对亚微米厚薄膜与基体间疲劳裂纹扩展的影响
D. Truong, H. Hirakata, T. Kitamura
The crack growth along the interface between a submicron-thick film (Cu) and a substrate (Si) under fatigue is experimentally investigated at the load-frequencies of 0.1Hz and 1Hz in a laboratory environment (45 ±5%RH). A modified four-point bend specimen, which has only one interface crack to facilitate the control of crack growth, is used for the tests. The results reveal that the clear interface crack between Cu and Si grows under the cyclic load. The crack growth rate per cycle, da/dN, is governed by the stress intensity factor range, ΔKi, at each frequency and the sigmoidal relationship consisting of three stages are observed in the da/dN-ΔKi curve; the threshold, the stable growth and the critical growth. da/dNgreatly increases as the frequency decreases in the stable growth region. The crack growth rate per time, da/dt, shows a good correlation with the maximum stress intensity factor, Kimax, independently of the loading frequency. This indicates that the environmental effect due to humidity in air plays a dominant role on the crack growth.
在实验室环境(45±5%RH)下,在0.1Hz和1Hz载荷频率下,研究了亚微米厚薄膜(Cu)和衬底(Si)在疲劳作用下的裂纹扩展。试验采用改良的四点弯曲试样,只有一个界面裂纹,便于裂纹扩展的控制。结果表明:在循环载荷作用下,Cu和Si之间出现了明显的界面裂纹;在各频率下,每周期的裂纹扩展速率da/dN受应力强度因子范围ΔKi的支配,da/dN-ΔKi曲线呈3个阶段的s型关系;临界值,稳定增长和临界增长。在稳定生长区域,随着频率的降低,da/ dnf显著增加。每次裂纹扩展速率da/dt与最大应力强度因子Kimax具有良好的相关性,与加载频率无关。这说明空气湿度等环境效应对裂纹扩展起主导作用。
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引用次数: 7
Finite Element Method Analysis of the Deformation of Human Red Blood Cells 人体红细胞变形的有限元分析
Rie Higuchi, Y. Kanno
An erythrocyte and a spherocyte are subjected to aspiration pressure with a micropipette and analyzed by the finite element method (FEM). The comparison of the erythrocyte and the spherocyte indicates that the y-direction displacement of the erythrocyte was larger than that of the spherocyte under the same aspiration pressure. The x-direction stress distributions show that it is easier to change the shape of the erythrocyte model than that of the spherocyte model because a force in the opposite direction appears in the erythrocyte. This force seems to move the erythrocyte membrane to its center. The results indicate that the shape of the erythrocyte membrane changes partially under aspiration pressure at the point of contact with the micropipette and aspiration pressure. The results also indicate that the shape of the spherocyte membrane changes under aspiration pressure, but not only at a point of contact with the micropipette and the area subject to aspiration pressure; the entire spherocyte membrane seem to change the shape.
用微移液管对红细胞和球细胞进行吸压,并用有限元法对其进行了分析。红细胞和球细胞的比较表明,在相同的吸入压力下,红细胞的y方向位移大于球细胞。x方向应力分布表明,红细胞模型比球细胞模型更容易改变形状,因为红细胞中出现了相反方向的力。这种力似乎使红细胞膜向中心移动。结果表明,在吸液压力和吸液压力的作用下,红细胞膜的形状发生了部分变化。结果还表明,在抽吸压力下,球细胞膜的形状发生了变化,但不仅仅是在与微移管接触的点和受抽吸压力影响的区域;整个球细胞膜似乎改变了形状。
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引用次数: 2
Determination of Friction Coefficient of a Press-Fit Pin in Thin Plating 薄镀层压合销摩擦系数的测定
H. Tohmyoh, K. Yamanobe, M. Saka, J. Utsunomiya, Takeshi Nakamura, Y. Nakano
To determine the friction coefficient of a press-fit pin in thin plating, both experiments and three-dimensional finite element analysis are carried out. The compliant press-fit pins are assembled into printed circuit boards with two types of plated through holes, one is Cu and Sn plated and the other only Cu plated, and the load-displacement relationships of the pin during assembly are recorded. Based on the load-displacement relationships of the pin obtained experimentally and the nodal reactions of the pin contacting with the plated hole, obtained from numerical analysis, performed assuming a fiction-less condition, the friction coefficients of the pin in plated holes during assembly are successfully determined. The friction coefficient of the pin in the Sn/Cu plated hole exhibits a higher value than that for the Cu plated hole during assembly, due to the adhesion in the contacting region. In an attempt to check the validity of the determined coefficients of friction, different press-fit assemblies are considered, and the load-displacement relationships of the pin are predicted. The simulations are found to be in good agreement with experimental measurements. The retention forces between the pin and the plated holes are also predicted.
为了确定压合销在薄镀层中的摩擦系数,采用了实验和三维有限元分析相结合的方法。将符合要求的压配合引脚组装到有两种镀铜通孔的印刷电路板上,一种是镀铜和镀锡通孔,另一种是镀铜通孔,并记录装配过程中引脚的负载-位移关系。基于实验得到的销体载荷-位移关系和数值分析得到的销体与镀孔接触时的节点反应,在无摩擦条件下,成功地确定了销体在镀孔中的摩擦系数。在装配过程中,锡铜孔内销的摩擦系数比铜孔内销的摩擦系数要高,这是由于接触区域的粘附作用所致。为了验证所确定的摩擦系数的有效性,考虑了不同的压配合组合,并预测了销的载荷-位移关系。模拟结果与实验结果吻合较好。还预测了销与镀孔之间的保持力。
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引用次数: 6
High Space-Resolutive Evaluation of Subsurface Stress Distribution by Strain Scanning Method with Analyzer Using High-Energy Synchrotron X-Rays ∗ 用高能同步x射线分析仪应变扫描法评估地下应力分布的高空间分辨率
T. Shobu, J. Mizuki, Kenji Suzuki, Y. Akiniwa, Keisuke Tanaka
The surface aberration effect in the strain scanning method with a Ge analyzer was examined using high- energy X-rays from the undulator synchrotron source. The synchrotron X-rays from the undulator source had an enough intensity for the strain scanning method using a goniometer with the analyzer. The use of a Ge (111) analyzer showed remarkable reduction of the surface aberration effect. However, there still existed the surface aberration for the very-near surface region from the surface to the depth of 50µm. A correction method was proposed by taking into account of the effects of the divergence of the Ge analyzer, the mis-setting of the analyzer and the X-ray attenuation. The proposed correction method was very useful for eliminating the surface aberration effect. The correction method enables a high space-resolutive evaluation of the subsurface stress distribution. The method was successfully applied to the determination of the residual stress distribution of the shot-peened steel. A precise d0 value of the strain-free lattice spacing necessary was determined from the surface stress measured by the conventional sin2ψ method using Cr-Kα radiation.
利用波动同步加速器源的高能x射线,研究了锗分析仪应变扫描法中的表面像差效应。来自波动源的同步加速器x射线具有足够的强度,可以使用带有分析仪的测角仪进行应变扫描。Ge(111)分析仪的使用显著降低了表面像差效应。然而,从表面到50µm深度的极近表面区域仍然存在表面像差。考虑锗分析仪发散、分析仪错置和x射线衰减的影响,提出了一种校正方法。所提出的校正方法对于消除表面像差效应非常有用。该校正方法能够对地下应力分布进行高空间分辨率的评价。该方法成功地应用于喷丸钢残余应力分布的测定。利用cr - k - α辐射,利用传统的sin2ψ法测量表面应力,确定了所需的无应变晶格间距的精确d0值。
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引用次数: 4
In-Plane Displacement Measurement Using Digital Image Correlation with Lens Distortion Correction 基于数字图像相关和透镜畸变校正的平面内位移测量
S. Yoneyama, A. Kitagawa, Koji Kitamura, H. Kikuta
Two-dimensional displacement measurement using digital image correlation with lens distortion correction is described in this paper. A single cross-grating is used as a calibration reference. Using two-dimensional Fourier transform, the phases of the grating pattern are analyzed and lens distortion distribution is obtained from the unwrapped phase maps. After detecting lens distortion, the coefficients of lens distortion are determined using the least-squares method. Then, the displacement distributions without the lens distortion are obtained. The effectiveness of the method is demonstrated by applying the proposed method to the rigid body translation test and the uniaxial tension test. The results show that the proposed distortion correction method removes the effect of lens distortion from the measured displacements. By the proposed method, accurate measurements can be performed even if images are deformed by lens distortion.
本文介绍了一种基于数字图像相关和透镜畸变校正的二维位移测量方法。使用单个交叉光栅作为校准基准。利用二维傅里叶变换,分析了光栅图样的相位,并从解包裹的相位图中得到了透镜畸变分布。在检测到透镜畸变后,利用最小二乘法确定透镜畸变系数。然后,得到了不考虑透镜畸变的位移分布。将该方法应用于刚体平移试验和单轴拉伸试验,验证了该方法的有效性。结果表明,所提出的畸变校正方法消除了透镜畸变对测量位移的影响。通过提出的方法,即使图像因透镜畸变而变形,也可以进行精确的测量。
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引用次数: 71
Crack Identification of Plates Using Genetic Algorithm 基于遗传算法的板裂纹识别
T. Horibe, Kensuke Watanabe
In this paper, a method for identifying of a crack in a plate that uses a genetic algorithm (GA) based on changes in natural frequencies is presented. To calculate the natural frequencies of the cracked plates, a FEM (Finite Element Method) program, which is based on the BFM (Bogner, Fox and Schmidt) model, is developed since the accuracy of the forward solver is important. In the analysis, two types of cracks, i.e., internal and edge cracks are considered. To identify the crack location and the depth from frequency measurements, the width and position of the crack in a plate are coded into a fixed-length binary digit string. Using GA, the square sum of residuals between the measured data and the calculated data is minimized in the identification process and thus the crack is identified. To avoid a high calculation cost, the response surface method (RSM) is also adopted in the minimizing process. The combination of GA and RSM makes the identification more effective and robust. The applicability of the proposed method is confirmed by the results of numerical simulation.
本文提出了一种基于固有频率变化的遗传算法识别板裂纹的方法。为了计算裂纹板的固有频率,基于BFM (Bogner, Fox和Schmidt)模型,开发了一种基于BFM (Bogner, Fox和Schmidt)模型的有限元计算程序。在分析中,考虑了两种类型的裂纹,即内部裂纹和边缘裂纹。为了从频率测量中识别裂缝的位置和深度,将板上裂缝的宽度和位置编码为固定长度的二进制字符串。利用遗传算法,在识别过程中使实测数据与计算数据的残差平方和最小,从而识别出裂纹。为了避免较高的计算成本,在最小化过程中还采用了响应面法。遗传算法与RSM的结合使识别更加有效和稳健。数值模拟结果验证了该方法的适用性。
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引用次数: 13
Development of Fatigue Testing System for in-situ Observation by an Atomic Force Microscope and Small Fatigue Crack Growth Behavior in α-Brass 原子力显微镜原位观察α-黄铜疲劳小裂纹扩展行为试验系统的研制
A. Sugeta, Y. Uematsu, Keitaro Tomita, K. Hirose, M. Jono
A small in-plane bending fatigue testing machine for in-situ observation of small fatigue crack growth behavior by means of an atomic force microscope (AFM) was successfully developed. The multiple layer piezoelectric ceramics were adopted as an actuator in order to miniaturize the fatigue loading facility operating on the stage of an AFM. Small fatigue crack growth test under constant amplitude loading was then carried out on α-brass and successive observation of small fatigue crack growth behavior was performed by the AFM. The fatigue crack tended to grow along one slip direction with the highest Schmid factor, as the crack driving force of a small crack was not large enough to operate other slip directions with lower Schmid factors simultaneously. Frequent crack branching and deflection behavior were also observed during crack growth. It was considered that the constraint of slip deformation due to the cyclic strain hardening was mainly responsible for crack branching and deflection behavior. The intervals of branching or deflection were affected by the difference of mobility among slip planes.
研制成功了一种小型面内弯曲疲劳试验机,利用原子力显微镜(AFM)原位观察材料的细小疲劳裂纹扩展行为。采用多层压电陶瓷作为致动器,实现了AFM台上疲劳加载装置的小型化。然后对α-黄铜进行了恒幅加载下的小疲劳裂纹扩展试验,并用AFM连续观察了小疲劳裂纹扩展行为。疲劳裂纹倾向于沿施密德系数最高的滑移方向扩展,这是由于小裂纹的裂纹驱动力不足以同时作用于施密德系数较低的滑移方向。裂纹扩展过程中还观察到频繁的裂纹分支和挠曲行为。认为循环应变硬化对滑移变形的约束是裂纹分支和挠曲行为的主要原因。滑移面间迁移率的差异影响了分支或挠度的间隔。
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引用次数: 5
期刊
Jsme International Journal Series A-solid Mechanics and Material Engineering
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