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Dynamic Thermal Stresses in a Finite Circular Plate with a Penny-Shaped Crack Generated by Impulsive Heating 脉冲加热产生的带有便士裂纹的有限圆板的动态热应力
Pub Date : 1996-04-15 DOI: 10.1299/JSMEA1993.39.2_172
N. Sumi
A solution is presented for the stress-wave response of a partially transparent finite elastic circular plate with a penny-shaped crack subjected to impulsive electromagnetic radiation. The radiation is assumed to occur at a constant rate for the duration of the pulse, to be deposited with a radial Gaussian distribution and to diminish exponentially with distance from the exposed surface of the plate. The development of the analysis is based on the equations of uncoupled dynamic thermoelasticity with heat conduction neglected. The numerical procedure employs explicit finite difference approximations with second-order accuracy based on the integration of the governing equations along the bicharacteristics. Numerical calculations are carried out for the dynamic behavior of the thermal stresses and the stress intensity factors, and the results are shown in figures.
给出了带便士形裂纹的部分透明有限弹性圆板在脉冲电磁辐射作用下的应力波响应解。假设辐射在脉冲持续时间内以恒定速率发生,以径向高斯分布沉积,并随着距离板暴露表面的距离呈指数递减。分析的发展是基于不耦合的动态热弹性方程,忽略热传导。数值计算过程采用基于控制方程沿双特征积分的二阶精度的显式有限差分近似。对热应力的动态特性和应力强度因子进行了数值计算,计算结果如图所示。
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引用次数: 3
Effect of a Microdefect ahead of a Main Crack on Strength of Solids : Exact Solution to the Main Crack-Microdefect Interaction Model 主裂纹前微缺陷对固体强度的影响:主裂纹-微缺陷相互作用模型的精确解
Pub Date : 1996-04-15 DOI: 10.1299/JSMEA1993.39.2_231
Teruo Nakamura, Kenji Saito, S. Araki
In our previous paper, an approximate solution to the main crack-microdefect interaction model was derived using a main crack stress field, and the effect of a microdefect ahead of a main crack on the strength of solids was discussed in terms of the model. In the present paper, in order to investigate more precisely the above effect, the main crack-microdefect interaction model is formulated more specifically based on the method of continuously distributed theory of dislocations, and the distribution functions for both a main crack and a microdefect are obtained. As a result, we obtain stress intensity factors K both at the tip of a main crack and a microdefect in the closed form. Using these K values, we elucidate the effective range of the above model and the crack shielding effect by a microdefect. Furthermore, the crack length dependence of the fracture strength and fracture toughness of engineering ceramics can be explained well theoretically using the present model.
在之前的论文中,我们利用主裂纹应力场推导了主裂纹-微缺陷相互作用模型的近似解,并根据该模型讨论了主裂纹前微缺陷对固体强度的影响。为了更精确地研究上述效应,本文基于位错连续分布理论的方法,更具体地建立了主裂纹-微缺陷相互作用模型,得到了主裂纹和微缺陷的分布函数。因此,我们得到了主裂纹尖端和封闭形式微缺陷处的应力强度因子K。利用这些K值,我们阐明了上述模型的有效范围以及微缺陷对裂纹的屏蔽效应。此外,利用该模型可以很好地解释工程陶瓷断裂强度和断裂韧性与裂纹长度的关系。
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引用次数: 0
Adaptive Finite Element Technique for Thermal Stress Analysis of Built-Up Structures 建筑结构热应力分析的自适应有限元技术
Pub Date : 1996-04-15 DOI: 10.1299/JSMEA1993.39.2_223
P. Dechaumphai
An adaptive finite element technique for thermal stress analysis of built-up structures has been developed. A finite element formulation for a triangular membrane element and a new plate bending element, used for modelling such structures under both mechanical and thermal loadings, is presented. The associated finite element matrices have been derived in closed form. The performance of the new plate bending element is evaluated for a plate with temperature gradient through its thickness by comparing the predicted solution with the exact solution. The effectiveness of the adaptive meshing technique combined with the finite element method is evaluated by thermal stress analysis of a built-up structure with intersecting panels. The application demonstrates that the adaptive meshing technique can provide an accurate solution with fewer elements and shorter computational time than the standard finite element procedure.
提出了一种适用于建筑结构热应力分析的自适应有限元技术。提出了一种三角膜单元和一种新的板弯曲单元的有限元公式,用于模拟机械和热载荷下的这种结构。相关的有限元矩阵以封闭形式导出。通过将预测解与精确解的比较,对具有温度梯度的薄板弯曲元件的性能进行了评价。通过对具有交叉板的建筑结构的热应力分析,验证了自适应网格技术与有限元法相结合的有效性。应用结果表明,自适应网格划分技术与标准有限元方法相比,能够以更少的单元和更短的计算时间提供精确的解。
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引用次数: 4
Strengthening of Mullite by Dispersion of Carbide Ceramics Particles 碳化物陶瓷颗粒分散对莫来石的强化作用
Pub Date : 1996-04-15 DOI: 10.1299/JSMEA1993.39.2_259
M. Chu, Shigemi Sato, Y. Kobayashi, K. Ando
Both mullite/SiC (0.27 μm and 1.20 μm) and mullite/TiC composite ceramics were prepared by hotpressing at 1650°C under 35 MPa for 4h. Room-temperature bending fracture stress, Young's modulus, Vicker's hardness and fracture toughness were investigated as functions of SiC and TiC volume fraction (0-20%). Grain growth of mullite was prevented by the existence of dispersed particles (SiC, TiC) in the matrix. As a result, bending fracture stress of both mullite/SiC and mullite/TiC composite ceramics was improved. In the case of the mullite/SiC system, bending fracture stress inceased with increasing SiC content and showed a maximum value of 604 MPa at 20 vol%, which was about 80% higher than that of monolithic mullite. On the other hand, fracture toughness of mullite/TiC ceramic composite was observed to incease from 2.65 to 3.9 MPa√m with the addition of 20 vol% TiC. Correspondingly, the bending-fracture stress increased from 330 to 410 MPa. The strengthening mechanism of thermal treatment in air was also investigated for mullite/SiC composite ceramics and it was concluded to be useful for increasing bending fracture stress. Detailed reseach on the microstructure showed that the Hall-Petch relationship was satisfied for grain size and bending fracture stress.
以莫来石/SiC (0.27 μm和1.20 μm)和莫来石/TiC复合陶瓷为材料,在1650℃、35 MPa下热压4h制备。研究了室温弯曲断裂应力、杨氏模量、维氏硬度和断裂韧性随SiC和TiC体积分数(0 ~ 20%)的变化规律。基体中分散颗粒(SiC, TiC)的存在阻碍了莫来石晶粒的生长。结果表明,莫来石/SiC复合陶瓷和莫来石/TiC复合陶瓷的弯曲断裂应力均得到改善。莫来石/SiC体系的弯曲断裂应力随SiC含量的增加而增大,在20 vol%时达到最大值604 MPa,比整体莫来石高约80%。另一方面,当TiC含量为20 vol%时,莫来石/TiC陶瓷复合材料的断裂韧性由2.65 MPa / m提高到3.9 MPa / m。相应的,弯曲断裂应力从330 MPa增加到410 MPa。研究了莫来石/碳化硅复合陶瓷在空气中热处理的强化机理,得出莫来石/碳化硅复合陶瓷在空气中热处理有利于提高弯曲断裂应力的结论。显微组织研究表明,在晶粒尺寸和弯曲断裂应力方面满足Hall-Petch关系。
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引用次数: 14
Numerical Study on Yield Curves of FCC Metals Based on Rate-Dependent Crystal Slips 基于速率相关晶体滑移的FCC金属屈服曲线的数值研究
Pub Date : 1996-04-15 DOI: 10.1299/JSMEA1993.39.2_237
T. Abe, Xiaoyu Lu, Masashi Nouno, T. Nanba
The macroscopic plastic deformation of polycrystalline metals, as revealed by features such as yield surface under multiaxial stress or the normality rule, is related to the microscopic slips in grains. In the present paper, a rate-type constitutive equation and a constant stress model of polycrystals are adopted and the equal-strain-rate curves under biaxial stress, which are equivalent to the yield curves in plasticity, are studied. The rate-sensitivity exponent in the rate-type constitutive equation is closely related to the number of active slip systems on the yield curves. Hence, it is possible to examine the effect of the number of active slip systems on the yield curve. The yield curves of fcc single crystals as well as fcc polycrystalline metals are calculated. The shape of the obtained yield curve is dependent on the number of active slip systems as well as the distribution of strain in polycrystals. The direction of strain rate vectors is also discussed. A new model of polycrystals called the constant maximum shear strain rate model is proposed.
多晶金属的宏观塑性变形与晶粒的微观滑移有关,如多轴应力屈服面特征或正态性规律等。本文采用速率型本构方程和恒应力模型,研究了等效于塑性屈服曲线的双轴应力下的等应变率曲线。速率型本构方程中的速率敏感性指数与屈服曲线上活动滑移系的数目密切相关。因此,有可能检验有效滑移系统的数量对屈服曲线的影响。计算了fcc单晶和fcc多晶金属的屈服曲线。所得屈服曲线的形状取决于活动滑移系统的数量以及多晶中应变的分布。本文还讨论了应变速率矢量的方向。提出了一种新的多晶模型,称为恒最大剪切应变率模型。
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引用次数: 1
Stress Distributions around Circular Inclusion in Infinite Plane for Nonlocal Elasticity : Matrix and Circular Inclusion have the Same Nonlocal Coefficients 非局部弹性无限平面上圆形夹杂物周围的应力分布:矩阵和圆形夹杂物具有相同的非局部系数
Pub Date : 1996-04-15 DOI: 10.1299/JSMEA1993.39.2_192
H. Kumasaka, K. Hirashima
We describe the complementary relationship between stress and displacement for nonlocal elasticity. This relationship is derived from the definition of nonlocal stress and the equilibrium equation. The stress solutions in an infinite plane subjected to a uniform compressed load are given. It is assumed that the nonlocal effects of the matrix and the inclusion are the same, and these effects cross the boundary between the matrix and inclusion. The stress distribution around a hole is drawn graphically using this solution. One of the effects of nonlocal elasticity is the development of a stress relaxation zone around a hole.
我们描述了非局部弹性应力和位移之间的互补关系。这种关系是由非局部应力的定义和平衡方程推导出来的。给出了均匀压缩载荷作用下无限平面上的应力解。假设基体和夹杂的非局部效应相同,且这些效应跨越基体和夹杂的边界。用这种方法绘制出孔周围的应力分布。非局部弹性的影响之一是在孔周围形成应力松弛区。
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引用次数: 1
Stress analysis of junction of plate and shell built-up structures via special finite shell element 板壳组合结构结合部的特殊壳有限元应力分析
Pub Date : 1996-04-15 DOI: 10.1299/JSMEA1993.39.2_179
K. Yamazaki, N. Tsubosaka
A finite element formulation using the penalty function method to analyze exactly the junction of plate and shell built-up structures is suggested for an isoparametric shell element. The connectivity condition at the junction is added to the potential energy functional by the penalty parameter and the interpolating function of displacements. This formulation yields an integral-type stiffness matrix of the special junction elements, which can directly evaluate the surface tractions at the junction. The suggested technique is applied to the stress analyses of isotropic and laminated plates with several types of stiffeners, and the validity of the technique is discussed.
对于等参数壳单元,提出了一种用罚函数法精确分析板壳结构结合部的有限元公式。通过惩罚参数和位移插值函数将连接处的连通性条件加入到势能泛函中。该公式得到了特殊结点单元的积分型刚度矩阵,可以直接计算结点处的表面牵引力。将该方法应用于各向同性和具有几种加强筋的层合板的应力分析,并对该方法的有效性进行了讨论。
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引用次数: 1
Hydrogen Embrittlement of Mild Steel Charged Cathodically with Hydrogen : Effect of Dissolved Hydrogen and Hydrogen Damage on Elongation of Mild Steel 阴极充氢低碳钢的氢脆:溶氢和氢损伤对低碳钢伸长率的影响
Pub Date : 1996-04-15 DOI: 10.1299/JSMEA1993.39.2_246
H. Hagi
In order to study the effects of dissolved hydrogen atoms and hydrogen damage on elongation of mild steel in relation to the susceptibility of iron and steel to hydrogen embrittlement, tensile tests were carried out immediately after cathodic hydrogen charging and after degassing of hydrogen at room temperature. Because cathodic hydrogen charging caused internal damage, such as microcracks (blisters) and plastic deformation owing to hydrogen precipitation, the influence of the dissolved hydrogen on the elongation was distinguished from that of hydrogen damage. The dissolved hydrogen and hydrogen damage were found to cause reversible and irreversible reductions in elongation, respectively.
为了研究溶解的氢原子和氢损伤对低碳钢伸长率的影响与铁和钢对氢脆敏感性的关系,在阴极充氢和室温脱氢后立即进行了拉伸试验。由于阴极充氢会引起内部损伤,如微裂纹(水泡)和氢析出引起的塑性变形,因此将溶解氢对伸长率的影响与氢损伤的影响区分开来。发现溶解氢和氢损伤分别引起可逆和不可逆的伸长率降低。
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引用次数: 2
Stress Analysis of Bimaterial Strip with Debondings under Tension 带剥离的双材料带材在张力作用下的应力分析
Pub Date : 1996-04-15 DOI: 10.1299/JSMEA1993.39.2_157
N. Hasebe, Seiji Kato, Atsusi Ueda, Takuji Nakamura
A bimaterial problem of strips which are bonded at their ends is solved. The bonded part is one part and debondings occur on both sides of the interface. The debonding lengths are changed, and concentrated loads are applied at the tips of each strip. The complex variable method and a rational mapping function are used for the analysis. Stress distributions are shown for two different locations of the interface. Stress intensity of debonding is defined and the values are obtained for various debonding lengths. Debonding and the effect of material constants on debonding are also investigated.
解决了两端粘接的条的双材料问题。结合的部分是一个部分,脱键发生在界面的两侧。改变剥离长度,并在每个条带的尖端施加集中载荷。采用复变法和有理映射函数进行分析。应力分布显示了两个不同位置的界面。定义了剥离的应力强度,得到了不同剥离长度下的应力强度值。研究了材料常数对脱粘效果的影响。
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引用次数: 12
Stress Analysis of Transistor Structures Considering the Internal Stress of Thin Films 考虑薄膜内应力的晶体管结构应力分析
Pub Date : 1996-04-15 DOI: 10.1299/JSMEA1993.39.2_166
H. Miura, N. Ishitsuka, N. Saito, H. Ohta, C. Hashimoto, S. Ikeda
Stress fields in transistor structures are analyzed with consideration of the internal stresses of thin films. Internal stresses of amorphous silicon and tungsten silicide films are measured by detecting changes in the surface curvature of film-covered substrates as a function of temperature. Internal stresses of both films change upon annealing due to phase transitions, and reach about 1000 MPa. The stress predicted for transistor structures without considering the internal stress of the films differs markedly from results obtained using microscopic Raman spectroscopy. On the other hand, the stress predicted with consideration of film internal stress agrees very well with measured data. Stress design is performed for an actual transistor structure by adjusting the annealing temperature depending on the internal stress of an amorphous silicon thin film to eliminate the generation of dislocations. It is confirmed that stress design is effective in eliminating dislocations in transistor structures, thus improving device reliability.
考虑薄膜的内应力,分析了晶体管结构中的应力场。非晶硅和硅化钨薄膜的内应力是通过检测薄膜覆盖衬底的表面曲率随温度的变化来测量的。两种薄膜的内应力在退火过程中由于相变而发生变化,达到1000 MPa左右。在不考虑薄膜内应力的情况下,晶体管结构的应力预测与使用微观拉曼光谱得到的结果有明显不同。另一方面,考虑薄膜内应力的应力预测结果与实测数据吻合较好。通过根据非晶硅薄膜的内应力调整退火温度来消除位错的产生,对实际晶体管结构进行了应力设计。应力设计可以有效地消除晶体管结构中的位错,从而提高器件的可靠性。
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引用次数: 7
期刊
JSME international journal. Series A, mechanics and material engineering
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