横向各向同性固体材料中含定向非均匀体的有效弹性模量

针对 含定向非均匀体的横向各向同性复合材料(即TI介质), 采用球形有效体散射等效的方法, 根据TI材料下的D, N_ij表达式, 对横向各向同性条件下Eshelby 张量的积分通用表达式进行化简, 推导出了复合材料的具有横向各向同性特性的有效弹性模量的表达式, 并依此进行了数值分析. 计算结果表明: 利用本方法计算的有效模量随非均匀体含量的增大而减小; 定向排列的非均匀体影响横向各向同性介质的固有各向异性, 水平指向的非均匀体会增大材料的横向各向同性, 模拟结果对评价含非均匀体各向异性介质的特征具有指导意义.     

横观各向同性的半无限弹性体的若干问题

一.引言 作者在前文1里求得了横观各向同性体的弹性力学空间问题的通解,并且作了初步应用。本文的目的在应用前文的通解来具体地讨论横观各向同性的半无限体(假定物体的各向同性面与它的表面平行)的若干问题。这些问题是实用上比较重要的问题,包括:(i)已知半无限体表面上的载荷;(ii)已知表面上各点的位移;(iii)已知表面上各点的法应力和切向位移;(iv)已知表面上各     

外部压力下β相奥克托金晶体弹性性质变化的第一性原理研究

基于密度泛函理论,采用投影缀加波方法对不同压力条件下β相奥克托金(β-HMX)的弹性常数进行了计算.计算得到零压条件下β-HMX的体弹性模量为12.7 GPa,剪变模量为4.4 GPa,与实验测量结果接近.对β-HMX弹性常数压力响应的分析表明,随着外部压力增加,晶体的体弹性模量和剪变模量逐渐增加.当外部压力达到7 GPa时晶格开始沿剪应变方向出现不稳定性,与拉曼散射实验结果相符.     

非弹性道对高能质子-核弹性散射的影响

关联核模型很好地描写了大角度处高能强子-核散射. 但在许多工作中, 忽略了和关联一样重要的非弹性道效应. 本文中, 在强子-核弹性散射过程中, 我们计入了两次非弹性过程并导出了一简单公式. 具体计算了1GeV P+C¹²的弹性散射. 结果表明: 非弹性效应在所观察的角度对定量结果的影响是很小的.     

人工沿场不均匀体对短波垂直探测影响的理论分析

从人工沿场不均匀体的产生机制出发,分析其对无线电波的散射特性,基于射线追踪技术,建立了短波垂直探测波经人工沿场不均匀体散射的传播模型,理论分析了不同纬度人工沿场不均匀体对垂直探测波传播路径的影响.结果表明:人工沿场不均匀体所导致的垂直探测电离图人工扩展描迹随地理纬度升高和地磁倾角增大而变短,解释了高纬度地区电离层加热不能有效观测人工扩展描迹的缘由.最后对中低纬度地区存在人工沿场不均匀体时可能产生的人工扩展描迹现象进行了预测评估,并分析了其重要应用方向.     

一阶速度-应力Biot双相各向同性介质弹性波

提出一种等价的一阶双曲型速度一应力Biot双相各向同性介质弹性波波动方程,以实现双相介质混合波场中纯快慢纵波和纯横波波场分离的问题.应用散度和旋度理论证明双相介质等价方程波场分离的可行性,采用高阶交错网格有限差分法构建高精度正演算子,推导其PML吸收边界条件和稳定性条件,并对均匀双相介质和层状非均匀双相介质模型进行数值...     

双相各向异性随机介质伪谱法地震波场特征分析

各向异性、双相孔隙以及非均匀性是描述油气储层时应综合考虑的. 结合随机介质理论和双相介质模型建立了双相各向异性随机介质模型,采用伪谱法模拟了双相各向异性随机介质地震波场,结果表明：双相各向异性随机介质地震波场存在散射波、旅行时扰动等复杂的波场特征,这些特征强烈依赖于随机介质模型参数. 在大非均匀空间尺度下,非均匀幅度主要影响波的旅行时扰动;在小非均匀空间尺度下,非均匀幅度主要影响波的散射. 该研究使人们有可能在统计意义下反演油气储层的非均匀特征,有益于加深对地震波在油气储层中传播规律的认识. 关键词： 双相各向异性 随机介质 伪谱法 地震波     

点源和超声楔形换能器激发的兰姆波

本文分析了在无限大各向同性均匀弹性板表面法向点力激发的兰姆波.给出超声楔形换能器的兰姆波指向性图案公式,对部份推导结果作了实验验证.     

横观各向同性材料中激光超声谱有限元数值模拟

研究了横观各向同性材料中激光超声波的传播特征.基于谱有限元方法,建立了横观各向同性材料中激光超声的数值模型.利用谱有限元方法模拟脉冲激光作用于材料上产生超声波及其传播的过程.讨论了横观各向同性薄板的各向异性及各向同性平面内超声波的传播特征,并分析了材料厚度的变化对产生超声波模态的影响.     

在体积力作用下橫觀各向同性弹性体的平衡问题

一.引言 作者在前文里提出了在无体积力作用时横观各向同性弹性体的平衡问题的一般解法,并应用这个解法讨论了圆锥的弯曲问题和半无限体的各种边值问题。本文的目的在于找寻在体积力作用下横观各向同性弹性体的平衡问题的特解。利用这个特解将体积力消去后,便可应用前文的结果来设法满足所设的边界条件。作为本文方法的初步应用,我们计算了在横观各向同性的     

过渡金属Tc及其氮化物TcN，TcN$lt;sub$gt;2$lt;/sub$gt;，TcN$lt;sub$gt;3$lt;/sub$gt;与TcN$lt;sub$gt;4$lt;/sub$gt;低压缩性的第一性原理计算研究

采用基于密度泛函理论的第一性原理计算方法研究了Tc及其氮化物的弹性性质、电子结构、原子布局数等,并分析和计算了它的氮化物的理论硬度. 结果表明随着Tc中氮的掺入量的渐增,出现层状结构,它们的弹性模量并非单调增加,其中TcN的体弹模量最大而剪切模量最小;层状结构的TcN₃的剪切模量最大而体弹模量最小,TcN₄的理论计算硬度最大. 说明在Tc的氮化物中,其体弹模量与材料的晶体结构、平均每个原子上的电荷密度和材料的质量密度有关;化学键的共价性结构和氮元素的含量对理论计算硬度有正作用;而剪切模量的极大值则与其层状结构及体系中一定量的方向基本一致的N—N键相关. 关键词： 第一性原理 弹性性质 电子结构     

Response of thin polymer layers confined between solid surfaces and submitted to normal oscillatory deformations

Summary The viscoelastic properties of liquids close to solid surfaces differ from the bulk. Nanorheology has been performed by using a surface force apparatus adapted to operate as a rheometer in a sphere-plane geometry. Axial oscillatory measurements have been carried out with high polymer solutions filling the gap. The deformations were kept sufficiently small not to perturb the film structure and were applied in a large range of frequency (10⁻³ to 10² s⁻¹). It is shown that the complex modulus characterizing the confined medium can be split into two components: a shear modulus (it accounts for the viscous dissipation due to the flow of solvent molecules through the mesh created by the long polymer chains which connect the two solid surfaces) and a compression modulus which is related to the normal stress response of the chains confined between the solid surfaces. The hydrodynamic screening lengthξ _h and the correlation length ξ deduced from the two moduli are compared and are found to scale in the same way as a function of the distance between the two surfaces. Paper presented at the I International Conference on Scaling Concepts and Complex Fluids, Copanello, Italy, July 4–8, 1994.     

高压下TiC的弹性、电子结构及热力学性质的第一性原理计算

利用基于密度泛函理论的第一性原理平面波赝势方法 并结合准谐徳拜模型研究了NaCl结构的TiC在高压下的弹性性质、电子结构和热力学性质. 计算所得零温零压下的晶格常数、体弹模量及弹性常数与实验值符合得很好. 零温下弹性常数和弹性模量随压强增大而增大. 通过态密度和电荷密度的分析, Ti-C键随压强增大而增强. 运用准谐德拜模型, 成功计算了TiC在高温高压下的体弹模量、熵、热膨胀系数、徳拜温度、 Grüneisen参数和比热容. 结果表明压强对体弹模量、热膨胀系数和徳拜温度的影响大于温度对其的影响. 热容随着压强升高而减小, 在高温高压下, 热容接近Dulong-Petit极限.     

Shear modulus of shock-compressed LY12 aluminium up to melting point

Asymmetric plate impact experiments are conducted on LY12 aluminium alloy in a pressure range of 85-131 GPa. The longitudinal sound speeds axe obtained from the time-resolved particle speed profiles of the specimen measured with Velocity Interferometer System for Any Reflector （VISAR） technique, and they are shown to be good agreement with our previously reported data of this alloy in a pressure range of 20-70 GPa, and also with those of 2024 aluminium reported by McQueen. Using all of the longitudinal speeds and the corresponding bulk speeds calculated from the Gruneisen equation of state （EOS）, shear moduli of LY12 aluminium alloy are obtained. A comparison of the shear moduli in the solid phase region with those estimated from the Steinberg model demonstrate that the latter are systematically lower than the measurements. By re-analysing the pressure effect on the shear modulus, a modified equation is proposed, in which the pressure term of P/η^1/3 in the Steinberg model is replaced by a linear term. Good agreement between experiments and the modified equation is obtained, which implies that the shear modulus of LY12 aluminium varies linearly both with pressure and with temperature throughout the whole solid phase region. On the other hand, shear modulus of aluminium in a solid-liquid mixed phrase region decreases gradually and smoothly, a feature that is very different from the drastic dropping at the melting point under static conditions.     

Shear modulus of shock-compressed LY12 aluminium up to melting point

Asymmetric plate impact experiments are conducted on LY12 aluminium alloy in a pressure range of 85--131\,GPa. The longitudinal sound speeds are obtained from the time-resolved particle speed profiles of the specimen measured with Velocity Interferometer System for Any Reflector (VISAR) technique, and they are shown to be good agreement with our previously reported data of this alloy in a pressure range of 20--70\,GPa, and also with those of 2024 aluminium reported by McQueen. Using all of the longitudinal speeds and the corresponding bulk speeds calculated from the Gruneisen equation of state (EOS), shear moduli of LY12 aluminium alloy are obtained. A comparison of the shear moduli in the solid phase region with those estimated from the Steinberg model demonstrate that the latter are systematically lower than the measurements. By re-analysing the pressure effect on the shear modulus, a modified equation is proposed, in which the pressure term of $P/\eta^{1/3}$ in the Steinberg model is replaced by a linear term. Good agreement between experiments and the modified equation is obtained, which implies that the shear modulus of LY12 aluminium varies linearly both with pressure and with temperature throughout the whole solid phase region. On the other hand, shear modulus of aluminium in a solid-liquid mixed phrase region decreases gradually and smoothly, a feature that is very different from the drastic dropping at the melting point under static conditions.     

Resonant ultrasound spectroscopy measurement of Young's modulus,shear modulus and Poisson's ratio as a function of porosity for alumina and hydroxyapatite

Modulus–porosity relationships are critical for engineered bone tissue scaffold materials such as hydroxyapatite (HA), where porosity is essential to biological function. Resonant ultrasound spectroscopy (RUS) measurements revealed that the Young's modulus, E, and shear modulus, G, of both alumina and HA decrease monotonically with increasing volume fraction porosity, P, for 0.06 < P < 0.39 (alumina) and 0.05 < P < 0.51 (HA). Although the elastic moduli of porous materials have been measured by a number of different ultrasonic resonance techniques (of which the RUS technique is one example) and over the last decade the elastic moduli of many solids have been measured by the RUS technique, this study is the first systematic RUS study of porous materials. Comparison of E versus P data for alumina (which has been studied extensively) with literature data from several measurement techniques indicates the RUS technique is effective for modulus–porosity measurements. Another key result is that although the HA specimens included in this study have a unimodal pore size distribution, the details of the decrease in E and G with increasing P agree well with literature data for HA with both unimodal and bimodal pore size distributions. In addition, Poisson's ratio exhibits a local minimum in the porosity range of 0.2 < P < 0.25 for both HA and alumina, which may be related to the pore morphology evolution during sintering.     

Empirical modeling of longitudinal tension and compression of graphene nanoparticles and nanoribbons

Longitudinal tension and compression of graphene nanoparticles and nanoribbons have been studied using an empirical model. The pseudo-Young’s modulus of graphene nanoparticles and nanoribbons has been calculated. The size effect, i.e., the dependence of the elastic modulus on linear parameters of graphene objects, has been studied. An increase in pseudo-Young’s modulus discontinues as the length increases during the nanoparticle-to-nanoribbon transition. For the same perimeter, the graphene ribbon edges are characterized by smaller pseudo-Young’s moduli in comparison with uniaxial carbon nanotubes. Elastic deformation of graphene nanoparticles and nanoribbons has been observed in the relative length variation range of 0.93–1.12.     

Influence of alloying elements on the elastic properties of ternary and quaternary nickel-base superalloys

Using new supercells, the influence of the alloying elements Co, Cr, Ta, Re, and Ru on the elastic properties of ternary and quaternary nickel-base superalloys are systematically studied by the first-principles pseudopotential method. The calculated results of the five ternary and three quaternary superalloys suggest that the alloying elements can increase the elastic moduli. Re is found to be most effective in increasing the moduli of ternary alloys. Among the quaternary alloys, the Ni-Al-Re-Ru system has the largest moduli. Our calculated values of the elastic moduli agree very well with the experimental results. The charge density redistribution and partial density of states are calculated for the quaternary system including both Re and Ru. Covalent-like bonding between Re and its nearest neighbor is observed. The hybridization between the Re-d orbital and the host Ni-p, d orbitals are the origin of the modulus strengthening effect.     

Cytoskeleton influence on normal and tangent fluctuation modes in the red blood cells

We argue that the paradoxal softness of the red blood cells (RBC) in fluctuation experiments is apparent. We show that the effective surface shear modulus mus of the RBC obtained from fluctuation data and that measured in static deformation experiments have the same order of magnitude. In the RBC model developed for this purpose the spectrin network cytoskeleton with the bulk shear modulus estimated as mu approximately 105-165 Pa contributes to both normal and tangent fluctuations of the system and confines the membrane fluctuations. The calculated ratio of the mean-square amplitudes / is 2-3 orders of magnitude smaller than it is in the free membrane with the same bending and shear moduli.     

金属玻璃流变的扩展弹性模型

玻璃-液体转变现象,简称玻璃转变,被诺贝尔物理学奖获得者安德森教授评为最深奥与重要的凝聚态物理问题之一.金属玻璃作为典型的非晶态物质,具有与液体相似的无序原子结构,因此又称为冻结了的液态金属,是研究玻璃转变问题的理想模型材料.当加热至玻璃转变温度,或者加载到力学屈服点附近时,金属玻璃将会发生流动.由于热或应力导致的流动现象对金属玻璃的应用具有重要意义.本文简要回顾了金属玻璃流变现象,综述了流变扩展弹性模型的研究进展和未来发展趋势.