Structural phase transitions and elastic properties of zirconia

The structural phase transformations in various phases (monoclinic, ortho I, ortho II, and tetragonal) of zirconia (ZrO₂) have been investigated using an effective interionic interaction potential. The cohesive energy, the equation of state, and the elastic properties of these phases have also been studied and found to reproduce well the experimentally observed data for almost all the phases of zirconia ceramics.     

Elastoplastic damage modeling the mechanical behavior of rock-like materials considering confining pressure dependency

In this paper, the effect of confining pressure on the mechanical behavior of rock-like materials, such as concrete, is studied by using a coupled elastoplastic damage model. Damage mechanism is coupled, in different manners, with two plastic flow mechanisms: plastic shear mechanism developed under low confining pressure and plastic pore collapse mechanism observed under high confinement. The proposed model is applied to study a series of laboratory tests performed under extremely low to very high confining pressure, up to 650 MPa. The numerical predictions of proposed model are in good agreement with the experimental results.     

蜂窝材料在面内压缩下的动力坍塌(英文)

基于我们近年来的实验研究和数值模拟,主要概述了蜂窝材料受面内压缩时的准静态和动态坍塌行为.在准静态加载条件下,对圆胞蜂窝材料的方形试件施行了面内的双向等量压缩实验,观察到非均匀变形模式的发生和演化.为了研究加载速率的影响,对此过程也进行了有限元模拟,揭示了当加载速度增加到某一临界速度时,试件的变形由总体坍塌模式向渐进坍塌模式(即冲击波模式)转化.最后,将根据几种模型所作数值模拟得到的临界冲击速度同波的陷阱理论作了比较.     

爆炸粉末烧结微孔隙塌缩沉能分析

 对爆炸粉末烧结过程中颗粒间的结合和沉能机制进行了分析,用反映微孔隙闭合的一维球对称塌缩模型对爆炸粉末烧结后期由微孔隙闭合引起的沉能现象进行了研究。在球对称塌缩一维流动的控制方程中引入传热项的影响,采用刚塑性假设并引入热粘塑性本构关系,利用有限差分法对球壳收缩过程中的温度分布进行了计算。结果表明：热传导的影响随孔隙尺度的变小而变大;球壳收缩过程中其内壁经历了从弹塑性体到流体的转变,其温升远高于其它部位的温升,其它部位较低的温度将对熔化的球心起到低温淬火作用。     

一类独立的动态投入产出模型

Sargan．J．D从数学上指出[11]Leontief模型的内在不稳定性,由此引发数学上的争论,并使数学在该领域的应用研究取得重大结果,近年来,许多学者使用规划等方法避开此模型的不稳定性,找出了此模型的稳定增长解．对应于不同的经济体制,动态投入产出模型也表现出其形式的多样性．对时滞为1的前向延迟型动态投入产出模型,我们已经得出其稳定增长解。最近,曾立生提出了取消A为不可约的条件后,非负矩阵正向量唯一存在的条件．现实中,由下度量误差、经济技术的变化、管理技术的变化等众多原因,使投入产出消耗系数矩阵及投资系数矩阵在实现时是随机波动的,因此,有必要研究随机动态投入产出模型．另一方面,由于研究方式的不同,概率分析的方法会在动态投入产出模型的研究中得到意想不到的效果．     

Exact solutions of lattice polymer models

We consider directed path models of a selection of polymer and vesicle problems. Each model is used to illustrate an important method of solving lattice path enumeration problems. In particular, the Temperley method is used for the polymer collapse problem. The ZL method is used to solve the semi-continuous vesicle model. The Constant Term method is used to solve a set of partial difference equations for the polymer adsorption problem. The Kernel method is used to solve the functional equation that arises in the polymer force problem. Finally, the Transfer Matrix method is used to solve a problem in colloid dispersions. All these methods are combinatorially similar as they all construct equations by considering the action of adding an additional column to the set of objects.     

Collapse of preformed cobalt stearate film on water surface

Preformed cobalt stearate (CoSt) molecules form a film on the water surface, which with barrier compression shows multilayers of different heights that are evidenced from the structures of the films deposited on hydrophilic silicon (0 0 1) substrates by using a horizontal deposition technique at different positions of the surface pressure (π)–specific molecular area (A) isotherm. In-plane morphology and out-of-plane structures are obtained from the atomic force microscopy (AFM) and X-ray reflectivity studies. Electron density profiles (EDPs), extracted from the reflectivity data, show that the monolayer coverage is maximum when π is far before the collapse point (π_c) but with barrier compression domains of multilayers start to form even before π_c. After π_c, two different bilayer repeat distances have been observed from the two different series of the Bragg peaks implying the formation of domains by both the tilted and untilted CoSt molecules. Far after π_c, reflectivity decreases rapidly and morphology of the deposited films changes totally. Structures before and after π_c of the CoSt film have also been obtained by changing the pH of the subphase water. From all the structural information it is clear that the preformed CoSt film collapses in a different way in comparison with the collapse of the standard cobalt stearate monolayer where cobalt stearate molecules were formed at the air–water interface. Reasons for obtaining different structures on the water surface with barrier compression have been proposed.     

Pseudopotential multi-relaxation-time lattice Boltzmann model for cavitation bubble collapse with high density ratio

The dynamics of the cavitation bubble collapse is a fundamental issue for the bubble collapse application and prevention. In the present work, the modified forcing scheme for the pseudopotential multi-relaxation-time lattice Boltzmann model developed by Li Q et al. [ Li Q, Luo K H and Li X J 2013 Phys. Rev. E 87 053301] is adopted to develop a cavitation bubble collapse model. In the respects of coexistence curves and Laplace law verification, the improved pseudopotential multi-relaxation-time lattice Boltzmann model is investigated. It is found that the thermodynamic consistency and surface tension are independent of kinematic viscosity. By homogeneous and heterogeneous cavitation simulation, the ability of the present model to describe the cavitation bubble development as well as the cavitation inception is verified. The bubble collapse between two parallel walls is simulated. The dynamic process of a collapsing bubble is consistent with the results from experiments and simulations by other numerical methods. It is demonstrated that the present pseudopotential multirelaxation-time lattice Boltzmann model is applicable and efficient, and the lattice Boltzmann method is an alternative tool for collapsing bubble modeling.     

A simplified model for nonlinear dynamic analysis of steel column subjected to impact

This paper presents a new simplified model of the nonlinear dynamic behavior of a steel column subjected to impact loading. In this model, the impacted column, which undergoes large displacement, consists of two rigid bars connected by generalized elastic–plastic hinges where the deformation of the entire steel column as well as the connections is concentrated. The effect of the rest of the structure on the column is modeled by an elastic spring and a point masse both attached to the top end of the column which is also loaded by a compressive force. The plastification of the hinges follows the normality rule with a yield surface that accounts for the interaction between M and N. The latter is described by a super-elliptic yield surface that allows ones to consider a wide range of convex yield criterion by simply varying the roundness factor that affects the shape of the limit surface. By including these features, the model captures both geometry and material nonlinearities. Both the flow rule and the equations of motion are integrated using the midpoint scheme that conserves energy. The non-smooth nature of impact is considered by writing the equations of motion of colliding masses using differential measures. Contact conditions are written in terms of velocity and combined with Newton's law to provide the constitutive law describing interactions between masses during impact. Numerical applications show that the model is able to capture the behavior of a column subjected to impact.     

Spherical Gravitational Collapse in f(R) Gravity with Linear Equation of State

In a paper[Gen. Relativ. Gravit. 48 (2016) 57] Chakrabarti and Banerjee investigated perfect fluid collapse in f(R) gravity model and claimed that such a collapse is possible. In this paper we show that without the assumption of dark energy it is not possible that perfect fluid spherical gravitational collapse will occur. We have solved the field equations by assuming linear equation of state (p=ωμ) in metric f(R) gravity with ω=-1. It is shown that Chakrabarti and Banerjee reached to false conclusion as they derived wrong field equations. We have also discussed formation of apparent horizon and singularity.