三阶常微分方程的某些非线性特征值问题的正解

研究了三阶常微分方程的某些非线性特征值问题. 通过考察非 线性项在有界集上的性质建立了这些问题的正解的存在性与多解性.     

考虑零售商竞争的闭环供应链产品担保决策及协调

针对由一个制造商和两个竞争型零售商组成的闭环供应链,研究零售商竞争下产品担保决策及供应链协调问题.分别建立两零售商均不提供担保(无担保)、仅一零售商提供担保(单边担保)和两零售商均提供担保(双边担保)决策模型,研究零售商是否应当提供产品担保服务问题,分析零售商担保决策对最优结果的影响,并与仅一零售商的闭环供应链进行对比.结果表明:制造商倾向于利用多零售渠道分销产品;存在零售商竞争时,两零售商均选择提供产品担保以最大化自身利润;但在“担保水平”维度,两零售商无需进行差异化竞争;双边担保使得消费者获得“高价+高水平担保”产品服务,刺激市场需求,实现“零售商+制造商”双赢,进而提升供应链整体绩效.最后,设计了一成本分担-收益共享契约来协调两零售商均提供担保下的供应链运作,结果证明该契约能有效实现制造商和零售商的帕累托改进.     

分数阶延迟微分方程的样条配置方法

首次利用三次样条配置方法采用直接法求解了一类非线性分数阶延迟微分方程初值问题,并给出了方法的局部截断误差和若干数值算例.数值结果表明方法求解分数阶延迟微分方程初值问题是非常有效的,结果对于未来研究分数阶延迟微分方程的数值方法具有重要的意义.     

无线钓鱼接入点攻击与检测技术研究综述

随着城市无线局域网热点在公共场所大规模的部署,无线局域网安全变得尤为突出和重要,其中无线钓鱼接入点(AP:Access Point)攻击是无线网络中严重的安全威胁之一.本文介绍了无线钓鱼AP攻击存在的威胁,详细分析了无线钓鱼AP攻击的基本原理和实现,阐述了无线钓鱼AP攻击主要目的和构造实现方法.基于无线钓鱼AP攻击的基本原理将无线钓鱼攻击实现方式分为被动式攻击和主动式攻击,并分别从物理层和MAC层详细分析了主动式攻击.对现有无线钓鱼AP检测技术:无线端、有线端和混合式三类嗅探检测技术,重点分析了基于802.11特征指纹的检测技术.对未来工作进行了展望,介绍了下一代无线钓鱼AP检测技术的特征.     

Factors influencing particle agglomeration during solid-state sintering

Discrete element method(DEM) is used to studythe factors affecting agglomeration in three-dimensionalcopper particle systems during solid-state sintering.A newparameter is proposed to characterize agglomeration.Theeffects of a series of factors are studied,including particlesize,size distribution,inter-particle tangential viscosity,temperature,initial density and initial distribution of particleson agglomeration.We find that the systems with smallerparticles,broader particle size distribution,smaller viscosity,higher sintering temperature and smaller initial densityhave stronger particle agglomeration and different distributions of particles induce different agglomerations.This studyshould be very useful for understanding the phenomenon ofagglomeration and the micro-structural evolution during sintering and guiding sintering routes to avoid detrimental agglomeration.     

Two-phase micro- and macro-time scales in particle-laden turbulent channel flows

The micro-and macro-time scales in two-phaseturbulent channel flows are investigated using the direct numerical simulation and the Lagrangian particle trajectorymethods for the fluid-and the particle-phases,respectively.Lagrangian and Eulerian time scales of both phases are calculated using velocity correlation functions.Due to flowanisotropy,micro-time scales are not the same with the theoretical estimations in large Reynolds number(isotropic) turbulence.Lagrangian macro-time scales of particle-phaseand of fluid-phase seen by particles are both dependent onparticle Stokes number.The fluid-phase Lagrangian integral time scales increase with distance from the wall,longerthan those time scales seen by particles.The Eulerian integral macro-time scales increase in near-wall regions but decrease in out-layer regions.The moving Eulerian time scalesare also investigated and compared with Lagrangian integraltime scales,and in good agreement with previous measurements and numerical predictions.For the fluid particles themicro Eulerian time scales are longer than the Lagrangianones in the near wall regions,while away from the walls themicro Lagrangian time scales are longer.The Lagrangianintegral time scales are longer than the Eulerian ones.Theresults are useful for further understanding two-phase flowphysics and especially for constructing accurate predictionmodels of inertial particle dispersion.     

Multiscale modeling of heterogeneous propellants from particle packing to grain failure using a surface-based cohesive approach

In the present work,a computational framework is established for multiscale modeling and analysis ofsolid propellants.A packing algorithm,considering the ammonium perchlorate(AP) and aluminum(Al) particles asspheres or discs is developed to match the size distributionand volume fraction of solid propellants.A homogenizationtheory is employed to compute the mean stress and strainof a representative volume element(RVE).Using the meanresults,a suitable size of RVE is decided.Without considering the interfaces between particles and matrix,several numerical simulations of the relaxation of propellants are performed.The relaxation effect and the nonlinear mechanicalbehavior of propellants which are dependent on the appliedloads are discussed.A new technology named surface-basedcohesive behavior is proposed to describe the phenomenonof particle dewetting consisting of two ingredients:a damageinitiation criterion and a damage evolution law.Several examples considering contact damage behavior are computedand also nonlinear behavior caused by damaged interfaces isdiscussed in this paper.Furthermore the effects of the critical contact stress,initial contact stiffness and contact failuredistance on the damaged interface model have been studied.     

Wind induced deformation and vibration of a Platanus acerifolia leaf

Deformation and vibration of twig-connected single leaf in wind is investigated experimentally.Results showthat the Reynolds number based on wind speed and lengthof leaf blade is a key parameter to the aerodynamic problem.In case the front surface facing the wind and with an increase of Reynolds number,the leaf experiences static deformation,large amplitude and low frequency sway,reconfiguration to delta wing shape,flapping of tips,high frequencyvibration of whole leaf blade,recovery of delta wing shape,and twig-leaf coupling vibration.Abrupt changes from onestate to another occur at critical Reynolds numbers.In casethe back surface facing the wind,the large amplitude andlow frequency sway does not occur,the recovered delta wingshape is replaced by a conic shape,and the critical Reynoldsnumbers of vibrations are higher than the ones corresponding to the case with the front surface facing the wind.Apair of ram-horn vortex is observed behind the delta wingshaped leaf.A single vortex is found downstream of theconic shaped leaf.A lift is induced by the vortex,and thislift helps leaf to adjust position and posture,stabilize bladedistortion and reduce drag and vibration.     

Adaptive thermo-fluid moving boundary computations for interfacial dynamics

In this study,we present adaptive moving boundary computation technique with parallel implementation on a distributed memory multi-processor system for large scale thermo-fluid and interfacial flow computations.The solver utilizes Eulerian-Lagrangian method to track moving(Lagrangian) interfaces explicitly on the stationary(Eulerian) Cartesian grid where the flow fields are computed.We address the domain decomposition strategies of Eulerian-Lagrangian method by illustrating its intricate complexity of the computation involved on two different spaces interactively and consequently,and then propose a trade-off approach aiming for parallel scalability.Spatial domain decomposition is adopted for both Eulerian and Lagrangian domain due to easy load balancing and data locality for minimum communication between processors.In addition,parallel cell-based unstructured adaptive mesh refinement(AMR) technique is implemented for the flexible local refinement and even-distributed computational workload among processors.Selected cases are presented to highlight the computational capabilities,including Faraday type interfacial waves with capillary and gravitational forcing,flows around varied geometric configurations and induced by boundary conditions and/or body forces,and thermo-fluid dynamics with phase change.With the aid of the present techniques,large scale challenging moving boundary problems can be effectively addressed.     

Unconventional phase field simulations of transforming materials with evolving microstructures

Transforming materials with evolving microstructures is one of the most important classes of smart materials that have many potential technological applications,and an unconventional phase field approach based on the characteristic functions of transforming variants has been developed to simulate the formation and evolution of their microstructures.This approach is advantageous in its explicit material symmetry and energy well structure,minimal number of material coefficients,and easiness in coupling multiple physical processes and order parameters,and has been applied successfully to study the microstructures and macroscopic properties of shape memory alloys,ferroelectrics,ferromagnetic shape memory alloys,and multiferroic magnetoelectric crystals and films with increased complexity.In this topical review,the formulation of this unconventional phase field approach will be introduced in details,and its applications to various transforming materials will be discussed.Some examples of specific microstructures will also be presented.