共查询到18条相似文献,搜索用时 78 毫秒
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采用准连续介质法模拟了单晶铝纳米压痕试验过程,分析了不同宽度的刚性矩形压头所引起的初始塑性变形特点,获得了载荷-压深、应变能-位移和硬度-压深曲线.从位错理论的角度分析了压头尺寸对纳米压痕测试结果的影响.研究发现:随着压头宽度的不断增大,压头下方位错形核所需要的载荷和压深程度增大,需要的应变能增加,应变能的变化速率递增,纳米硬度值减小,呈现出明显的尺寸效应.同时表明在一定的压人深度下,硬度与压头尺寸之间存在着一定的比例关系,不同尺寸压头获得的硬度值可以相互换算,但当矩形刚性压头宽度大于或等于120A时这种尺寸效应消失.研究结果为纳米压痕实验过程中压头尺寸的选择提供了参考依据. 相似文献
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结合近来发表的对金属材料采用球形压头的微压痕实验结果及Johnson对应原理,讨论了在传统弹塑性理论下锥形压头在计及压头顶端曲率半径影响时硬度的解答形式.进而得出结论:压头尖端曲率半径不是引起尺度效应的根源,相反,它会使尺度效应减弱. 相似文献
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纳米压痕仪接触投影面积标定方法的研究 总被引:4,自引:0,他引:4
基于Oliver与Pharr方法的纳米压痕实验以其简单方便获得广泛的应用,但众多因素对压
痕实验结果的影响范围并无明确的结论. 其中压痕接触面积的确定是一个重要环节,该因素
对实验结果,特别是小深度下的实验结果具有重要影响. 仔细分析了Oliver与Pharr
方法并进行了几种材料的纳米压痕实验,针对该方法在接触深度确定、不同深度范围下方法
的适用性进行了说明. 分析结果表明,对所有的材料使用统一的面积公式,只有在大压痕深
度时才是适用的,而在小压痕深度时可能带来较大的误差. 因此,应慎重使用由Oliver与
Pharr方法得到的小压痕深度的硬度数据. 相似文献
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纳米压痕过程的三维有限元数值试验研究 总被引:15,自引:3,他引:15
采用有限元方法模拟了纳米压痕仪的加、卸载过程,三维有限元模型考虑了纳米压痕仪的标准Berkovich压头.介绍了有限元模型的几何参数、边界条件、材料特性与加载方式,讨论了摩擦、滑动机制、试件模型的大小对计算结果的影响,进行了计算结果与标准试样实验结果的比较,证实了模拟的可靠性.在此基础上,重点研究了压头尖端曲率半径对纳米压痕实验数据的影响.对比分析了尖端曲率半径r=0与r=100nm两种压头的材料压痕载荷—位移曲线.结果表明,当压头尖端曲率半径r≠0时,基于经典的均匀连续介质力学本构理论、传统的实验手段与数据处理方法,压痕硬度值会随着压痕深度的减小而升高. 相似文献
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本文提出了一种新的能够计及尺度效应的微纳米蜂窝等效模量的计算方法。将一种单参数应变梯度理论引入到本构方程当中,并基于能量等效原理推导了蜂窝面内等效模量地计算公式。算例分析表明,本文方法能够有效地计及尺度效应对蜂窝等效模量的影响。尺度效应与胞壁厚度和长度的值都有关,当胞壁厚度较小时,尺度效应显著,本文方法预测的模量会明显高于传统方法;而当胞壁厚度较大时,尺度效应变得微弱乃至可以忽略不计。但如果胞壁的长度/厚度比很大,则面内等效模量会趋近于0,此时是否考虑尺度效应意义不大。 相似文献
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Micro-indentation tests at scales of the order of sub-micron show that the measured hardness increases strongly with decreasing indent depth or indent size,which is frequently referred to as the size effect.At the same time,at micron or sub-micron scale,another effect,which is referred to as the geometrical size effects such as crystal grain size effect,thin flim thickness effect,etc.,also influences the measured material hardness.However,the trends are at odds with the size-independence implied by the conventional elastic-plastic theory.In the present research,the strain gradient plasticity theory(Fleck and Hutchinson)is used to model the composition effects(size effect and geometrical effect) for polycrystal material and metal thin film/ceramic substrate systems when materials undergo micro-indenting.The phenomena of the “pile-up“ and “sink-in“ apeared in the indentation test for the polycrystal materials are also discussed.Meanwhile,the micro-indentation experiments for the polycrystal Al and for the Ti/Si3N4 thin film/substrate system are carried out.By comparing the theoretical predictions with experimental measuremtns.the values and the variation trends of the micro-scale parameter included in the strain gradient plasticity theory are predicted. 相似文献
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Nix and Gao established an important relation between the microindentation hardness and indentation depth. Such a relation
has been verified by many microindentation experiments (indentation depths in the micrometer range), but it does not always
hold in nanoindentation experiments (indentation depths approaching the nanometer range). Indenter tip radius effect has been
proposed by Qu et al. and others as possibly the main factor that causes the deviation from Nix and Gao's relationship. We
have developed an indentation model for micro- and nanoindentation, which accounts for two indenter shapes, a sharp, conical
indenter and a conical indenter with a spherical tip. The analysis is based on the conventional theory of mechanism-based
strain gradient plasticity established from the Taylor dislocation model to account for the effect of geometrically necessary
dislocations. The comparison between numerical result and Feng and Nix's experimental data shows that the indenter tip radius
effect indeed causes the deviation from Nix-Gao relation, but it seems not be the main factor.
The project supported by the National Natural Science Foundation of China (10121202) and the Ministry of Education of China
(20020003023) 相似文献
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The strain gradient effect becomes significant when the size of fracture process zone around a crack tip is comparable to
the intrinsic material lengthl, typically of the order of microns. Using the new strain gradient deformation theory given by Chen and Wang, the asymptotic
fields near a crack tip in an elastic-plastic material with strain gradient effects are investigated. It is established that
the dominant strain field is irrotational. For mode I plane stress crack tip asymptotic field, the stress asymptotic field
and the couple stress asymptotic field can not exist simultaneously. In the stress dominated asymptotic field, the angular
distributions of stresses are consistent with the classical plane stress HRR field; In the couple stress dominated asymptotic
field, the angular distributions of couple stresses are consistent with that obtained by Huang et al. For mode II plane stress
and plane strain crack tip asymptotic fields, only the stress-dominated asymptotic fields exist. The couple stress asymptotic
field is less singular than the stress asymptotic fields. The stress asymptotic fields are the same as mode II plane stress
and plane strain HRR fields, respectively. The increase in stresses is not observed in strain gradient plasticity for mode
I and mode II, because the present theory is based only on the rotational gradient of deformation and the crack tip asymptotic
fields are irrotational and dominated by the stretching gradient.
The project supported by the National Natural Science Foundation of China (19704100), National Natural Science Foundation
of Chinese Academy of Sciences (KJ951-1-20), CAS K.C. Wong Post-doctoral Research Award Fund and Post-doctoral Science Fund
of China 相似文献
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A plane strain mode I crack tip field with strain gradient effects is investigated. A new strain gradient theory is used.
An elastic-power law hardening strain gradient material is considered and two hardening laws, i. e. a separation law and an
integration law are used respectively. As for the material with the separation law hardening, the angular distributions of
stresses are consistent with the HRR field, which differs from the stress results[19]; the angular distributions of couple stresses are the same as the couple stress results[19]. For the material with the integration law hardening, the stress field and the couple stress field can not exist simultaneously,
which is the same as the conclusion[19], but for the stress dominated field, the angular distributions of stresses are consistent with the HRR field; for the couple
stress dominated field, the angular distributions of couple stresses are consistent with those in Ref. [19]. However, the
increase in stresses is not observed in strain gradient plasticity because the present theory is based on the rotation gradient
of the deformation only, while the crack tip field of mode I is dominated by the tension gradient, which will be shown in
another paper.
Supported by the National Science Foundation of China (No. 19704100), Science Foundation of Chinese Academy of Sciences (Project
KJ951-1-20), CAS K. C. Wong Post-doctoral Research Award Fund and the Post Doctoral Science Fund of China. 相似文献
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挠曲电效应是一种存在于所有电介质材料中的特殊的力电耦合效应,本质上是应变梯度与电极化之间的线性耦合。然而,应变梯度会引入位移的高阶偏量,常给挠曲电问题的理论求解带来困难。且已有研究表明应变梯度弹性项会影响纳米结构中的力电耦合响应,但是现有的挠曲电研究大多忽略了应变梯度弹性的影响。因此,本文提出了一种既考虑应变梯度弹性,又考虑挠曲电效应的有效数值方法。基于全应变梯度弹性理论,建立了包含3个独立材料尺度参数的纳米欧拉梁的理论模型和有限元模型,提出了满足C2弱连续的两节点六自由度单元。基于本文的有限单元法,以简支欧拉梁为例,通过分析讨论挠度、电势和能量效率,得到了挠曲电效应和应变梯度弹性项对梁的力电响应的影响。结果表明,挠曲电效应存在尺寸依赖性,且应变梯度弹性项在纳米电介质结构的挠曲电研究中的影响不可忽略。 相似文献
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A new finite element method for strain gradient theories and applications to fracture analyses 总被引:2,自引:0,他引:2
A new compatible finite element method for strain gradient theories is presented. In the new finite element method, pure displacement derivatives are taken as the fundamental variables. The new numerical method is successfully used to analyze the simple strain gradient problems – the fundamental fracture problems. Through comparing the numerical solutions with the existed exact solutions, the effectiveness of the new finite element method is tested and confirmed. Additionally, an application of the Zienkiewicz–Taylor C1 finite element method to the strain gradient problem is discussed. By using the new finite element method, plane-strain mode I and mode II crack tip fields are calculated based on a constitutive law which is a simple generalization of the conventional J2 deformation plasticity theory to include strain gradient effects. Three new constitutive parameters enter to characterize the scale over which strain gradient effects become important. During the analysis the general compressible version of Fleck–Hutchinson strain gradient plasticity is adopted. Crack tip solutions, the traction distributions along the plane ahead of the crack tip are calculated. The solutions display the considerable elevation of traction within the zone near the crack tip. 相似文献