The static and elastic properties of mixed diatomic crystals

An interionic potential model has been proposed to study the static and elastic properties of mixed diatomic crystals. The interaction system of this potential consists of the long-range Coulomb and three-body interaction and the short-range overlap repulsion. This potential has been used to calculate the cohesive energy, phase-transition pressure and volume, third-order elastic constants and pressure derivatives of the effective second-order elastic constants for NaCl-NaBr mixed crystals. These results agree reasonably well with the available experimental results on the host crystals and allow us to draw some meaningful conclusions for the mixed alkali halide crystals.     

具有立方晶系结构的多晶体材料的弹性常数——Y弹性常数

提出了一个新的物理参量“Ｙ弹性常数”,并阐述了其物理含义.并将其应用于具有立方晶系结构的多晶体材料,推导了立方晶系结构的多晶体材料的Ｙ弹性常数,通过算例与具有立方晶系结构的多晶体材料的X射线弹性常数进行了比较.运用这个Ｙ弹性常数进一步推导出的多晶体材料整体的机械弹性常数的表达式与Krner的研究结果完全符合. 关键词： Y弹性常数 立方晶系 多晶体材料     

广义Fibonacci准周期结构声子晶体透射性质的研究

提出了一维广义Fibonacci准周期结构的声子晶体模型. 对弹性波通过该一维准周期结构声子晶体的透射系数进行数值计算,并与周期结构和标准Fibonacci准周期结构声子晶体的透射系数进行比较. 结果表明,利用一维广义Fibonacci准周期结构的声子晶体可获得比周期结构和标准Fibonacci准周期结构声子晶体更大的带隙范围,同时在带隙内有更丰富的局域模式存在. 对局域模性质的研究有助于声波或弹性波滤波器的制作. 关键词： 广义Fibonacci准周期结构 声子晶体 局域化     

Dislocation models of mechanoluminescence in γ- and X-irradiated alkali halides crystals

The mechanoluminescence appears in the elastic, plastic and fracture regions of γ- and X-irradiated KCl and NaCl crystals. A linear relation is found between the mechanoluminescence intensity and the newly created dislocations. Four models are proposed for the mechanoluminescence excitation during the movement of dislocations. These models are: dislocation unpinning model, dislocation interaction model, dislocation defect stripping model, and dislocation innihilation model. The dislocation annihilation model seems to be a dominating process for the M.L. excitation in γ- and X-irradiated alkali halide crystals.     

弹性波通过一维复合材料系统的透射性质

提出了不同结构的一维弹性波复合材料系统模型,包括一维周期结构声子晶体、标准Fibonacci准周期结构声子晶体、广义Fibonacci准周期结构声子晶体以及完全无序结构的复合材料系统. 采用模式匹配理论法,数值计算了弹性波通过一维复合材料系统的透射系数. 计算结果表明,利用特殊的准周期结构声子晶体可获得比周期结构声子晶体更宽的带隙范围,准周期结构排列的复合材料系统相当于在周期结构中引入了缺陷体一样,带隙内出现了丰富的局域模式. 对弹性波/声波在复合材料系统中局域态性质的研究有助于弹性波/声波滤波器、导波器 关键词： 弹性波复合材料 局域化     

Towards a nonlinear elastic representation of finite compression and instability of boron carbide ceramic

A nonlinear constitutive model invoking third-order anisotropic elasticity is developed for boron carbide single crystals subjected to potentially large compressive stresses. The model makes use of limited available published data from various experimental and theoretical (i.e., quantum or ab initio) studies. The model captures variations in second-order tangent elastic moduli and loss of elastic mechanical stability with increasing compression. In particular, reduced stability of boron carbide single crystals compressed normal to the c-axis (i.e., [0001]-direction) relative to higher stability in spherical compression is represented. Different stability criteria proposed in the literature are examined for boron carbide under spherical and uniaxial compression; model predictions show that the most critical criterion corresponds to a vanishing eigenvalue of a particular tangent stiffness matrix (i.e., incremental modulus) derived exactly in the present work. Model constants are proposed for CCC (less elastically stable) and polar CBC (more elastically stable) polytypes of boron carbide. Application of the model to a homogeneously strained polycrystal provides support for the hypothesis that failure (e.g., amorphization) follows a loss of elastic stability of favorably oriented grains at shock pressures on the order of 18–20?GPa. Additional experiments or atomic simulations are suggested that would resolve currently indeterminate features of the nonlinear elastic model.     

Elastic waves in cubic crystals with positive or negative anisotropy of second-order elastic moduli

Elastic waves in cubic crystals are considered. A new classification of cubic crystals is proposed based on their elastic properties. All cubic crystals are shown to be divided into crystals with a positive or negative anisotropy of their second-order elastic moduli. The vibrational-branch spectra of crystals of these two types differ qualitatively in shape. The angular dependences of the polarization vectors are analyzed. The transverse component in quasi-longitudinal vibrations in cubic crystals is shown to be small and can be neglected. The longitudinal component in quasi-transverse modes is not small: its maximum value is 16.5% for Ge and reaches 27% for KCl.     

Universal elastic anisotropy index

Practically all elastic single crystals are anisotropic, which calls for an appropriate universal measure to quantify the extent of anisotropy. A review of the existing anisotropy measures in the literature leads to a conclusion that they lack universality in the sense that they are non-unique and ignore contributions from the bulk part of the elastic stiffness (or compliance) tensor. Proceeding from extremal principles of elasticity, we introduce a new universal anisotropy index that overcomes the above limitations. Furthermore, we establish special relationships between the proposed anisotropy index and the existing anisotropy measures for special cases. A new elastic anisotropy diagram is constructed for over 100 different crystals (from cubic through triclinic), demonstrating that the proposed anisotropy measure is applicable to all types of elastic single crystals, and thus fills an important void in the existing literature.     

Acoustical method for the determination of the elastic and piezoelectric constants of crystals of classes 6mm and 4mm

An acoustical method is proposed for the determination of the elastic and piezoelectric constants of crystals of classes 6mm and 4mm. The method is based on the technique developed for orthorhombic crystals of class mm2 and described in the previous paper [9]. Only three samples are required for the determination of all elastic and piezoelectric constants of crystals belonging to the two symmetry classes of interest; for the crystals of class 6mm, only two samples are necessary. The proposed method can be used only when the signs of the piezoelectric constants are known beforehand. Knowing the sign of electrostriction for the crystals under study, the relative signs of the piezoelectric constants can be uniquely determined in accordance with the data reported earlier [10]. This approach allows one to extend the method used in the previous paper [9] to crystals of classes 6mm and 4mm.     

Brillouin spectroscopy on monodomains of thin polycrystalline layers of molecular crystals

An unconventional Brillouin-spectroscopic technique is proposed to determine elastic stiffness tensor coefficients of molecular crystals. With 90A Brillouin measurements on thin monodomains of melt-crystallized films (about 30 μm thickness) the need to grow large single crystals is avoided. Measurements on sym-difluorotetrachloroethane and perfluoroeicosane are presented.     

The mechanism of Landau-Rumer relaxation of thermal and high-frequency phonons in cubic crystals of germanium,silicon, and diamond

Transverse phonon relaxation according to the Landau-Rumer mechanism is considered for an isotropic medium and crystals of germanium, silicon, and diamond possessing a cubic symmetry. The energy of elastic deformation caused by the anharmonicity of vibrations of the cubic crystal lattice is expressed via the second-and third-order moduli of elasticity. Using the known values of these elastic moduli, parameters determining the frequencies of the transverse phonon relaxation in the Landau-Rumer mechanism are evaluated for the germanium, silicon, and diamond crystals. It is shown that the dependence of the relaxation frequency on the wavevector of thermal and high-frequency phonons sharply differs from the classical Landau-Rumer relationship both in the isotropic medium and in the cubic crystals. It is established that the observed peculiarities in the relaxation frequency are related to the angular dependence of the probability of anharmonic scattering and the anisotropy of elastic properties of the germanium, silicon, and diamond crystals. A new method is proposed for the experimental determination of the relaxation frequency of high-frequency phonons as a function of the wavevector using the temperature dependence of the coefficient of absorption of high-frequency ultrasound.     

Ferromagnetic nanoparticles suspensions in twisted nematic

Ferromagnetic nanoparticles insertions in nematic liquid crystals (NLC) in twisted configuration are studied and a theoretical model is proposed to explain the results. Experimental observation revealed that nanoparticles tend to overcrowd in long strings parallel to the rubbing direction of the alignment substrate of the LC cell. Their behavior under external field was studied and their interaction with their nematic host is described using elastic continuum theory.     

Comment on "Corresponding states of periodic structures in nematic liquid crystals"

Palangana, Sim?es, Evangelista, and Arrotéia [Phys. Rev. E 56, 4282 (1997)] (PSEA) propose a general scaling model for periodic wall patterns in the magnetic twist Fréedericksz transition of nematics, performing an elastic energy analysis. We demonstrate that this model is incorrect because it does not consider consistently the hydrodynamic wavelength selection of the observed structures, but is based on the assumption of inappropriate model functions instead. It is shown that experimental data actually contradict the proposed theory. The approach of PSEA is particularly not suited to determine elastic constant ratios of nematic liquid crystals.     

On elastic deformation of the indentation surface in alkali-haloid crystals

It is demonstrated experimentally that in the microindentation process, elastic deformation takes place of the crystal surface region under load containing the forming imprint. A technique is proposed for determining this elastic deformation in alkali-haloid crystals.     

Structural,elastic, and electronic properties of new superhard isotropic cubic crystals of carbon nanotubes

The models of new isotropic cubic crystals of single-layered carbon nanotubes are proposed. The structural, elastic, and electronic properties and the energies of formation of these crystals were calculated using the density functional-based tight binding (DFTB) method. The crystals proposed were found to exhibit extreme compression moduli (550–650 GPa) and a minimum compressibility (0.0018–0.0015 GPa^?1); in this case, the type of conduction of the parent nanotubes was retained. For this reason, the above crystals are of interest for the development of new superhard materials with controllable electrophysical properties.     

Grüneisen parameters for layered crystals

The temperature dependences of Grüneisen parameters for layered crystals of the hexagonal crystal system are constructed. It is demonstrated that the Grüneisen parameters calculated in the framework of the model proposed by I.M. Lifshits for a strongly anisotropic crystal agree satisfactorily with those obtained from the experimental data for graphite, the most typical layered crystal. It is found that the effect of bending vibrations on the Grüneisen parameters decreases with a decrease in the anisotropy of the elastic properties.     

Elastic properties of layered crystals

The characteristic features of the elastic properties of layered crystals and their dependence on temperature and pressure are analyzed. The relations between the elastic constants of hexagonal layered crystals are given. It is shown that the anomalous behavior of the elastic constants in the temperature region of a phase transition affects both the magnitude and sign of the thermal expansion coefficients of layered crystals. From analyzing the pressure and temperature dependences of the elastic constants, it is found that the anharmonicity of the bonding forces between the layers is much greater than the anharmonicity of the intralayer forces. The contribution from thermal expansion to the variations of the elastic constants with temperature is estimated.