Effect of Thermoelastic Characteristics of Components,Shape of Non-Isometric Inclusions,and Their Orientation on Average Stresses in Matrix Structures

The paper presents model calculations on which to predict volume-average external stress under changes of local internal stress in matrix composites with non-isometric inclusions. It is assumed that the rise of local stress owes to different coefficients of linear thermal expansion of non-isometric inclusions and matrix. The inclusions are taken as ellipsoids of rotation (disks, short fibers) and their principal semiaxes as oriented either along three mutually perpendicular directions x, y, and z of a rectangular coordinate system, only along x and y, or only along x. The average stress in the heterogeneous material and its local stress within an individual inclusion are related through a stress concentration operator (fourth rank tensor) for which an explicit expression is derived in a generalized singular approximation of random field theory. The relations obtained for external stress take into account thermoelastic characteristics of the two components as well as inclusion concentrations and orientations in the matrix. The calculation is applied to estimate the average stress along three axes in a composite consisting of an ED-20 epoxy binder and non-isometric copper inclusions.     

薄膜体内缺陷对损伤概率的影响

由实验中得到的激光损伤概率与表面杂质密度的关系出发，结合XRD测试和激光损伤测试的结果，得到体缺陷或杂质破坏起主导作用的损伤机理.将激光作用时杂质吸收的热学和力学过程与杂质分布的统计规律结合起来，得到了深埋于薄膜内部的杂质诱导薄膜损伤概率与杂质密度、激光功率密度以及薄膜厚度的关系.该模型认为能诱导薄膜破坏的杂质尺寸范围与杂质填埋深度有关，所以不同深度处能诱导薄膜损伤的杂质密度不一样，理论结果与实验结果符合得很好.该理论模型还可以很好地解释损伤形貌.     

质子探针在流体包裹体分析中的应用

本文着重阐述了质子探针无标样定量分析流体包裹体的方法原理、技术要点和分析时注意的问题。作者对我国斑岩铜矿石英中的流体包裹体进行了分析,还就国内外质子探针分析流体包裹体的现状进行了评述和展望。     

Radiation-Induced Electrical Conductivity of Nanocomposite Materials

The radiation-induced conductivity of a nanocomposite with the inclusion of spherical nanoparticles as a function of intensity and time of action of gamma-radiation and the concentration and size of inclusions has been studied using the Rose–Fowler–Weisberg model. The energy spectrum of localized states associated with the nanoparticle inclusion has been determined. The numerical experiments have been made for polymethyl methacrylate (PMMA) nanocomposites with inclusion of CdS and α-Al₂O₃ nanoparticles as well as SrO nanoparticles.     

A Semiclassical Theory of Multistep Nuclear Reaction Processes

The master equation theory of precompound and compound nuclear reactions has been generalized with inclusion of the conservation of angular momentum and parity. This improved semiclassical theory has been extended for application as an evaluation tool of the calculations of nucleon induced reaction cross sections and double differential cross sections. For structural materials at incident neutron energies below 20 MeV, it is demonstrated that the constructed model contains the Hauser-Feshbach, Weisskopf-Ewing as well as the exciton models as limiting cases. The unified treatment ofpre-equilibrium processes includes a number of interesting features, such as the exciton state densities with the exact Pauli exclusion correction which are renormalized to the back-shifted Fermi-gas formula, the introduction of formation factors of composite particle in calculations of pick-up type composite particle emission and the double differential cross sections (DDCS) for all kinds of particles in terms of the leading particle model.     

The role of surface tension in elastic wave scattering in an inhomogeneous poroelastic medium

It is well known that many porous media such as rocks have heterogeneities at nearly all scales. We applied Biot's poroelastic theory to study the propagation of elastic waves in isotropic porous matrix with spherical inclusions. It is assumed that the heterogeneity dimension exceeds significantly the pore size. Modified boundary conditions on poroelastic interface are used to take into account the surface tension effects. The effective wavenumber is calculated using the Waterman and Truell multiple scattering theory, which relates the effective wave number to the amplitude of the wave field scattered by a single inclusion. The calculations were performed for a medium containing fluid-filled cavities or porous inclusions contrasting in saturating fluid elastic properties. The results obtained show that when we consider elastic wave propagation in poroelastic medium containing soft inclusions, it is necessary to take into account the capillary pressure. The influence of the surface tension depends on the diffraction parameter and it is a maximum in the low frequency range.     

Heat-transfer processes upon laser heating of inert-matrix-hosted inclusions

A model to describe the heating of metal inclusions in inert media by a laser radiation pulse with allowance for the heat-transfer and melting processes in the matrix and inclusion materials is proposed. The time regularities of the heating of the matrix and inclusions were examined, and the dependences of the maximum temperature on the particle surface on the laser pulse energy density and on the particle radius were obtained. Approximate formulae for the maximum heating temperature and for the radius of most heated particles are proposed. We show that melting processes result in a reduction of the maximum heating temperature and in an insignificant variation of the radius of most heated particles.     

Statistical approach to bulk inclusion initialized damage in films

In experiments, we have found an abnormal relationship between probability of laser induced damage and number density of surface inclusion. From results of X-ray diffraction (XRD) and laser induced damage, we have drawn a conclusion that bulk inclusion plays a key role in damage process. Combining thermo-mechanical damage process and statistics of inclusion density distribution, we have deduced an equation which reflects the relationship between probability of laser induced damage, number density of inclusion, power density of laser pulse, and thickness of films. This model reveals that relationship between critical sizes of the dangerous inclusions (dangerous inclusions refer to the inclusions which can initialize film damage), embedded depth of inclusions, thermal diffusion length and tensile strength of films. This model develops the former work which is the statistics about surface inclusion.     

Conductivity of structurally anisotropic 2D composites

The character of electric conduction in a two-dimensional structurally anisotropic composite containing elliptic inclusions with a large ratio of the semiaxis. Dielectric and ideally conducting inclusions were considered. It was demonstrated that the approximation linear in concentration of inclusions fails beginning from rather small concentrations. The region of intermediate concentrations was studied using approximate methods based on the analogy between electric conductivity and the diffusion of a single particle in a nonuniform medium. The conductivity of the model system under study was analyzed over a wide concentration range with the use of the effective medium theory; the results are in close agreement with those obtained by qualitative methods. The behavior of conductivity near the percolation threshold (metal-to-dielectric phase transition) was examined using the similarity. The conductivity of thin composite films with inclusions in the form of carbon nanotubes was examined, as an example.     

Order and disorder in the microstructure of dielectrically nonlinear heterogeneous materials

The paper deals with the electrical characterisation of dispersions of pseudo-oriented ellipsoids of revolution. We are thus dealing with mixtures of inclusions of arbitrary eccentricity and arbitrary non-random orientational distributions. The analysis ranges from parallel spheroidal inclusions to completely random oriented inclusions. A unified theory covers all the orientational distributions between the random and parallel cases. Each ellipsoidal inclusion is made from an isotropic nonlinear dielectric material described by means of the so-called Kerr nonlinear relation.The electrical averaging inside the composite material is carried out by means of explicit results. We obtain closed form expressions for the macroscopic or equivalent dielectric properties of the overall composite materials. This study affirms that the nonlinear electrical behaviour of such a dispersion of pseudo-oriented particles is completely defined by two specific order parameters, which depends on the given angular distribution. The theory may be applied to characterise media with different shapes of the inclusions (i.e. spheres, cylinders or planar inhomogeneities) yielding a set of procedures describing several composite materials of great technological interest.     

KDP晶体微纳加工表层杂质对其激光损伤阈值影响的有限元分析

 根据KDP晶体杂质附近的温度场及热应力场理论,分析了微纳加工表层杂质影响下晶体温度场及热应力场的分布情况,发现杂质离子对激光的强吸收作用是造成KDP晶体损伤的主要原因之一,也是影响KDP晶体激光损伤阈值的最主要因素。通过分析还发现杂质半径对晶体的激光损伤阈值也有影响,并得到一个有害的杂质半径,使得杂质吸收能量最多,温度最高。另外杂质种类及杂质含量的不同也会对晶体的激光损伤阈值产生影响。     

Colloidal inclusions in smectic films with spontaneous bend

Inclusions in free-standing smectic films are simple model systems for two-dimensional anisotropic dispersions. From theory and experiment, different topologies of elastic distortions of the embedding liquid crystal are known. Quadrupolar and different dipolar defect configurations in the vicinity of the inclusion are possible, and these configurations determine the type of interactions between the inclusions. The quadrupolar configuration is often energetically preferred. We show, however, that dipolar director configurations around inclusions can be energetically favourable over quadrupolar arrangements in chiral smectics, as a consequence of a spontaneous-bend term in the elastic-energy formulation. As the inclusion size influences the selection of the deformation types, the corresponding spontaneous-bend constant can be estimated for the strong anchoring limit if the c -director fields around inclusions of different diameters are taken into account.     

Two-dimensional microrheology of freely suspended liquid crystal films

Smectic liquid crystals form freely-suspended, fluid films of highly uniform structure and thickness, making them ideal systems for studies of hydrodynamics in two dimensions. We have measured particle mobility and shear viscosity by direct observation of the gravitational drift of silica spheres and smectic islands included in these fluid membranes. In thick films, we observe a hydrodynamic regime dominated by lateral confinement effects, with the mobility of the inclusion determined predominantly by coupling of the fluid flow to the fixed boundaries of the film. In thin films, the mobility of inclusions is governed primarily by coupling of the fluid to the surrounding air, as predicted by Saffman-Delbrück theory.     

Inhomogeneous swelling in filled elastomers

An exact formulation is given for the inhomogeneous swelling of an elastomeric matrix containing a spherical inclusion, and is presented in a form amenable to solution for arbitrary free energy of mixing and network strain energy functions, rigid or soft inclusions, and finite or infinite matrix size. Specific examples of the deformation field, stress field, and composition variation are given as functions of distance from a rigid inclusion imbedded in an infinite matrix displaying Flory-Huggins/Gaussian swelling behavior. Interfacial stresses and extension ratios are given as functions of cross-link density and Flory-Huggins X parameter.

In a related study published elsewhere, Kotani and Sternstein have obtained experimental verification of the theory using birefringence techniques on model-filled elastomers. Stein and co-workers have found similar agreement of the theory with their light scattering measurements.     

Polymer-brush lubricated surfaces with colloidal inclusions under shear inversion

We characterize the response of compressed, sheared polymer-brush bilayers with colloidal inclusions to highly nonstationary inversion processes by means of molecular dynamics simulations and scaling theory. Bilayers with a simple (dimeric) solvent reveal an overshoot for the shear stress, while simulations of dry brushes without explicit solvent molecules fail to display this effect. We demonstrate that mechanical instabilities can be controlled by the inclusion of macromolecular structures, such as colloids of varying softness. Based on a recently developed theory, we suggest a scaling approach to determine a characteristic time for conformational and collective responses.     

Internal states of active inclusions and the dynamics of an active membrane

A theoretical model of a two-component fluid membrane containing lipids and two-state active inclusions is presented. This model predicts several nonequilibrium morphology transitions. (i) Active pumping of the inclusions can drive a long-wavelength undulation instability. (ii) Active excitation of the inclusions can induce aggregation of high-curvature excited inclusions. (iii) Active inclusion conformation changes can produce finite-size domains. The resulting steady state domain size depends on inclusion activities. For a stable membrane the height fluctuation spectrum in the long-wavelength limit is similar to previous studies which neglected the inclusion internal states.     

On the conductivity of composites with two-dimensional periodic structure

A method is suggested of successive solution of the problem on the conductivity of two-dimensional periodic systems with inclusions of arbitrary shape. The complex potential outside of the inclusions is expressed in terms of the Weierstrass zeta function and its derivatives. The field induced on a separate inclusion is described using the matrix of multipole polarizabilities. The “joining” of potentials is performed at a distance such that R < ρ < a, where R is the characteristic dimension (maximum “radius”) of the inclusion and a is the half-period of the lattice. The approach suggested enables one to find exact virial expansions for the conductivity of other effective characteristics of similar systems as well.     

Validation of the effective-medium approximation for the dielectric permittivity of oriented nanoparticle-filled materials: effective permittivity for dielectric nanoparticles in multilayer photonic composites

A formula for the effective permittivity for two-dimensional particles embedded in a host matrix is derived and a method for its numerical evaluation is described. The method is applied to specific cases of circular, square, rectangular and triangular particles. Shapes are assumed for the inclusion particles. Data for obtaining the effective permittivity is provided for a wide range of filling fractions, geometries and dielectric contrasts between the particles and the matrix under the assumption of the quasi-static approximation, that is, the wavelength of the electric field is assumed to be much larger than the particle size. Metallic particles with complex and frequency-dependent dielectric constants are treated, as well as no-loss dielectric inclusions. Calculations are validated by comparing the results of the reflectivity obtained for a composite layer using the transfer-matrix method, assuming the layer to be an effective medium, to those using the finite-element method and accounting for the heterogeneous material. PACS 78.20.-e; 78.20.Bh; 78.20.Ci; 78.66.Sq; 78.66.Vs     

Effect of inclusions on heterogeneous crack nucleation in nanocomposites

A two-dimensional theoretical model is proposed for the heterogeneous nucleation of a grain-boundary nanocrack in a nanocomposite consisting of a nanocrystalline matrix and nanoinclusions whose elastic moduli are identical to those of the matrix. The inclusions have the form of rods with a rectangular cross section and undergo dilatation eigenstrain induced by the differences in the lattice parameters and thermal expansion coefficients of the matrix and inclusions. In terms of the model, a mode-I–II nanocrack nucleates at the negative disclination of a biaxial dipole consisting of wedge grain-boundary (or junction) disclinations; then, the nanocrack opens along a grain boundary and reaches an inclusion boundary. Depending on the relative positions and orientations of the initial segment of the nanocrack and the inclusion, the nanocrack can either penetrate into the inclusion or bypass it along the matrix-inclusion interface. The nanocrack nucleation probability increases near an inclusion with negative (compressive) dilatation eigenstrain. A decrease in the inclusion size decreases (increases) the probability of a crack opening along the interface if the dilatation eigenstrain is negative (positive).     

Elastic properties of spherically anisotropic piezoelectric composites

Effective elastic properties of spherically anisotropic piezoelectric composites, whose spherically anisotropic piezo-electric inclusions are embedded in an infinite non-piezoelectric matrix, are theoretically investigated. Analytical solutions for the elastic displacements and the electric potentials under a uniform external strain are derived exactly. Taking into account of the coupling effects of elasticity, permittivity and piezoelectricity, the formula is derived for estimating the effective elastic properties based on the average field theory in the dilute limit. An elastic response mechanism is revealed, in which the effective elastic properties increase as inclusion piezoelectric properties increase and inclusion dielectric properties decrease. Moreover, a piezoelectric response mechanism, of which the effective piezoelectric response vanishes due to the symmetry of spherically anisotropic composite, is also disclosed.