应变晶体的弹性偶极子模型

将物体视为一弹性连续介质,其中任一处在应变状态的体积元以一弹性偶极子模拟之,本文给出了它的等效偶极矩的表示式,并将其划分为与此体积元及其周围基体的固有性质有关的永久偶极矩和决定于介质所处的应变状态的感生偶极矩两部分,它们分别使弹性介质具有顺弹性和介弹性。本文给出了在各向同性的弹性连续介质中弹性偶极子所产生的位移场的表示式,以及在考虑到其他应力源的强度和偶极子矩间存在着相互弛豫作用的情况下,弹性偶极子与其他应力场间相互作用的式子,它是Kroner公式加上高级修正项,将此模型用于讨论熟知的Cottrell气团和两对称中心间的相互作用时,得到与前人一致且更为细致的结果。 关键词：     

BeAl_2O_4:Cr晶体的缺陷研究

用化学腐蚀、光学显微镜、X射线形貌术以及电子显微分析等方法研究了引上法生长的BeAl_2O_4:Cr晶体中的缺陷.其结果如下:1)获得了对低指数面(100)、(010)及(001)面位错的理想腐蚀剂,2)晶体中的位错分布不均匀,位错产生的来源有二:一是从晶种中,另一是由包裹物引起.大多数位错是刃型位错,其柏格氏矢量为〈100〉方向、滑移面为(010)面.3)在晶体中常出现的包裹物如气泡,管状物及第二相沉积物,它们是由于原料中的杂质及生长过程中的组分过冷引起的.     

间隙原子非线性应力感生扩散的简化弹性偶极子模型

为了阐明体心立方晶体中外应力、位错应力和八面体间隙原子相互作用的本质,从理论上解释S-K弛豫和位错对Snoek弛豫的影响,提出一个简化的含有可动位错的一维弹性偶极子格点模型,讨论位错应力场中间隙原子的非线性应力感生扩散,为进一步对实际晶体的从头数值计算奠定基础。对一维模型的计算机模拟计算,表明位错应力场使得间隙原子形成具有非线性扩散特征的缺陷Fermi-Dirac分布,并增强了Snoek效应,在Snoek峰高温侧出现一个非线性扩散Snoek型内耗峰。 关键词：     

LiNbO3晶体中包裹物和位错的X射线形貌研究

用X射线透射扫描形貌方法研究了LiNb0₃晶体中的包裹物和位错。在实验中发现了包裹物的相应于不同衍射矢量的X射线形貌与基于各向同性理论预言的形貌之间存在分歧,这被解释为弹性各向异性效应。同时还观察到Burgers矢量为最短点阵平移矢量1/3的纯刃型位错和次短点阵平移矢量1/3<0111>的纯螺型位错,以及由该螺型位错组成的纯扭转晶界。 关键词：     

LiNbO_3晶体中包裹物和位错的X射线形貌研究

用X射线透射扫描形貌方法研究了LiNb0_3晶体中的包裹物和位错。在实验中发现了包裹物的相应于不同衍射矢量的X射线形貌与基于各向同性理论预言的形貌之间存在分歧,这被解释为弹性各向异性效应。同时还观察到Burgers矢量为最短点阵平移矢量1/3的纯刃型位错和次短点阵平移矢量1/3<0111>的纯螺型位错,以及由该螺型位错组成的纯扭转晶界。     

可动点缺陷对与运动弯结的滞弹性交互作用

对于在周期分布的运动内应力源作用下,面心立方晶体中Zener对和不对称点缺陷对的微扩散方程采用有限傅氏级数和拉氏变换求解。得出弯结刚性和阻尼系数的有限求和表达式。给出了有关数值计算结果。对于刃型位错与不对称点缺陷对的滞弹性交互作用得出了简单解析结果,与以前用别的方法所得结果相符。讨论了点缺陷内耗的位错增强效应。 关键词：     

位错规范场对于位错芯区的应用

本文用位错连续分布方法分析了位错所产生的应变和应力场,用位错规范场表出了位错芯区的位错分布,并在一定规范条件下求解了位错规范场。得到了螺位错芯区内、外的应力场。在螺位错芯区外,其应力场与Volterra位错的应力场完全一样,而在芯区内,当ρ趋于零时,螺位错的应力场是有解的。最后计算了螺位错的能量。 关键词：     

晶体缺陷规范场中的刃位错

本文用位错连续分布方法表出了刃位错所产生的应变和应力场,得到了刃位错芯区内、外的应力场,位错芯区的无限小位错分布用缺陷规范场表出,并在一定规范条件下求解了位错规范场,在刃位错芯区外,其应力场与Volterra位错的应力场完全一样,而在芯区内,当r趋于零,刃位错的应力场为有限,消除了应力的奇异性。 关键词：     

α-Fe裂纹的分子动力学研究

通过分子动力学方法，模拟了α-Fe裂纹的单轴拉伸实验中的形变过程.研究了不同晶体取向裂纹的形变特点和断裂机理，观察到各种形变现象，如位错形核和发射，位错运动，堆垛层错或孪晶的形成，纳米空洞的形成与连接等.计算结果表明，裂纹扩展是塑性过程和弹性过程相结合的过程，其中塑性过程表现为由裂尖发射的位错导致的原子切变行为，而弹性过程的发生则是由无位错区中的原子断键所导致.同时还研究了α-Fe裂纹的形变特点和断裂机理与温度场和应力场的依赖关系.     

Ge中束缚施主电子的自旋共振及其各向异性线宽

本文利用Ge中浅施主杂质的有效质量波函数,计算了束缚电子的等效自旋哈密顿量,得到在没有外压力及内应力情况下,仅当Ge的导带极值偏离(2π)/α[111]点时,共振频率才是各向导性的。指出通过电子-核双共振实验可能较确切的判断Ge中导带极值的位置。利用畸变势理论及微扰论,计算了在一般缓变的非均匀内应力作用下,共振频率及自旋共振线宽随磁场方向的各向异性变化。最后具体计算了在以拉伸法生长的晶体中和在弯曲的范性形变下,在最主要的位错类型([211]方向刃型及[110]方向螺型位错)应力场作用下自旋共振线宽的非均匀加宽,指出对于不同类型及不同取向的位错有不同的各向异性线宽。与Wilson的实验结果比较,我们得到当位错密度小于10⁴εcm^-2时,位错应力不是形成线宽的主要原因,当磁场在不同的(110)平面内旋转时,线宽将有相似的各向异性。当位错密度大于10⁵εcm^-2时,位错应力对线宽的贡献是主要的。这很容易由实验判断。     

Simulation of the dynamics of a two-dimensional dislocation-disclination ensemble

A computer code for simulating the dynamics of an arbitrary 2D dislocation-disclination ensemble is developed. The code is constructed according to the molecular-dynamics principles; individual interacting particles are taken to be edge dislocations and dipoles of partial wedge disclinations. Pure copper is considered as an example for simulating the glide of one dislocation near an immobile dipole for various orientations of the dipole and under various initial conditions of the problem. The dislocation dynamics is shown to be mainly determined by the distribution of the elastic field of the disclination dipole rather than by the initial velocity of the dislocation.     

Screw dislocations in the field theory of elastoplasticity

A (microscopic) static elastoplastic field theory of dislocations with moment and force stresses is considered. The relationship between the moment stress and the Nye tensor is used for the dislocation Lagrangian. We discuss the stress field of an infinitely long screw dislocation in a cylinder, a dipole of screw dislocations and a coaxial screw dislocation in a finite cylinder. The stress fields have no singularities in the dislocation core and they are modified in the core due to the presence of localized moment stress. Additionally, we calculated the elastoplastic energies for the screw dislocation in a cylinder and the coaxial screw dislocation. For the coaxial screw dislocation we find a modified formula for the so‐called Eshelby twist which depends on a specific intrinsic material length.     

Equilibrium and passing properties of dislocation dipoles

Static and dynamic properties of dislocation dipoles are investigated under isotropic and anisotropic elasticity. In elastically isotropic systems for a dislocation character between 35 and 40°, a dipole assumes the same stress-free equilibrium angle of 90° as the screw dipole. This can be affected by elastic anisotropy, as in Cu where the equilibrium angle assumed by a screw dipole (≈59°) is unchanged up to a dislocation character of 22°. In contrast, the static properties of near-edge dislocation dipoles are little influenced by elastic anisotropy. Certain dipole passing properties, not the passing stress however, are also modified by elastic anisotropy. For large heights and/or in the case of undissociated dislocations, the minimum passing stress corresponds to a dipole character of ～60° and it exhibits a sharp maximum in screw orientation. Reasonably moderate dislocation reorientations should facilitate the passing of near-screw dislocations in fatigue channels. Within a certain range of applied stresses, the passing of dipoles, comprised of unlike attractive dislocations, is accompanied by the sweeping of one dislocation by the other over a limited distance. Dissociation plays a prominent role in determining both static and dynamic properties for dipole heights less than a few times the dissociation distance of an isolated dislocation.     

Dipole of edge misfit dislocations and critical radius conditions for buried strained cylindrical inhomogeneity

A theoretical model is proposed for elastic stress relaxation of a buried strained cylindrical inhomogeneity, which assumes the edge misfit dislocation dipole formation in the soft matrix at some distance from the interface. The critical radius of the inhomogeneity for the formation of the edge misfit dislocation dipole is given and the influence of various parameters on the critical radius is evaluated. The result indicates that the critical radius decreases with increasing misfit strain and core radius of the misfit dislocation. It is also found that, compared to the edge misfit dislocation dipole formation in the interface, the critical radius of the inhomogeneity decreases when the location of an edge misfit dislocation dipole formation is in the soft matrix at some distance from the interface.     

Screening of the elastic field of disclinations by a dislocation ensemble

A self-consistent dynamics of a dislocation ensemble in the disclination field is analyzed within the kinetic approach. The effective Airy stress functions for the wedge disclination and the disclination dipole with due regard for the screening effect of the system of distributed dislocation charges are determined. The coordinate dependences of the stress tensor components and dislocation charge density for the screened disclination systems are found. The elastic energies of the screened disclination systems are calculated.     

Screw dislocation dipole in non-linear continuum

The elastic field of a screw dislocation dipole, i.e., of two parallel screw dislocations of opposite signs is found within the non-linear isotropic theory of elasticity of second order. The linear solution for a screw dislocation dipole with hollow cores is taken for the first approximation and the second order terms are calculated using the method of stress functions developed and applied previously on one screw dislocation by Kröner and Seeger. The stress field and the volume dilatation is discussed in detail for a dipole with singular dislocation lines taken as limiting case of a dipole with hollow cores.ikova 22, Brno, Czechoslovakia.Na Slovance 2, Praha 8, Czechoslovakia.     

Numerical implementation of static Field Dislocation Mechanics theory for periodic media

This paper investigates the implementation of Field Dislocation Mechanics (FDM) theory for media with a periodic microstructure (i.e. the Nye dislocation tensor and the elastic moduli tensor are considered as spatially periodic continuous fields). In this context, the uniqueness of the stress and elastic distortion fields is established. This allows to propose an efficient numerical scheme based on Fourier transform to compute the internal stress field, for a given spatial distribution of dislocations and applied macroscopic stress. This numerical implementation is assessed by comparison with analytical solutions for homogeneous as well as heterogeneous elastic media. A particular insight is given to the critical case of stress-free dislocation microstructures which represent equilibrium solutions of the FDM theory.     

ARPES measurements of SnAs electronic band structure

A change in the time dependence of the second moment of the distribution of intensities of coherences with various orders in the spectrum of multiple-quantum NMR in a solid at the inclusion of an inhomogeneous magnetic field in the effective interaction is studied. Both the secular dipole–dipole and nonspecular twoquantum interactions are considered as nucleus–nucleus interactions, which correspond to traditional experimental realizations. It is shown that, with an increase in the magnitude of the inhomogeneous field, an exponential increase in the second moment of multiple-quantum NMR with time changes to a power-law increase. The results obtained in this work indicate that this second moment, which determines the average number of dynamically correlated spins, can be used as a convenient characteristic for studying a transition to a many-body localized state.