一类超线性p(x)-调和方程的无穷多解

p(x)-调和方程是一类比较重要的微分方程模型,它来自于非牛顿流体问题及非线性弹性问题。该文利用临界点理论研究p(x)-调和方程解的存在性。在比Ambrosetti-Rabinowitz条件更弱的超线性条件下,得到了无穷多解存在的充分条件, 所得结论推广了已知结果。     

Phenomenological analysis of thermal hysteresis in Ni-Mn-Ga Heusler alloys

The manipulation of thermal hysteresis in Ni-Mn-Ga Heusler alloys with coupled magnetostructural phase transition is studied theoretically using the Landau theory, including magnetic, elastic and crystal lattice modulation order parameters as well as an external magnetic field. It is shown that for the assigned combination of phenomenological parameters, in the phase diagrams, the Austenite–Martensite first-order phase transition has a finite (critical) point in which the thermal hysteresis is disappeared. Moreover, this point depends on the relation between modulation and elastic constants as well as on the magnetic field. Obtained results have been compared with other theoretical end experimental data.     

边冠图 Tm◇Sn的临界群

确定了任意树与星的边冠图 Tm◇Sn 的临界群的代数结构,证明了边冠图 Tm◇Sn 的临界群的Smith标准型为 (n－2)m 个循环群的直和,同时给出了图 Tm◇Sn的生成树数目.     

Analysis of the Wrinkle of an Automobile Weather-Strip Seal in Bending

Weather-strip seals in automotive door systems play a major role in determining the door closing effort, isolating the passenger compartment from water and reducing the wind noise inside the vehicle. The phenomenon of a wrinkle often occurs in weather-strips when they are assembled on the door surfaces which have bent or twisted profiles. Wrinkles in automobile weather-strip seals will affect the closing effort and noise isolation characteristics of the automotive door system. The wrinkle of anethylene-propylene-diene (EPDM) automobile weather-strip seals when bent and the critical conditions for a wrinkle to develop were characterized in this study. The hyperelastic material behavior of the EPDM sponge and EPDM dense rubber in the seal were modeled using the Foam model and Mooney–Rivlin model, respectively. Then a finite element analysis (FEA) model of the automobile weather-strip seal in assembly was developed and analyzed using then on linear FEA software Marc. The deformation of the seal and the thickness decrease in the critical region where it was prone to wrinkle were obtained by this FEA method. Finally the critical criterion of wrinkling was determined by analysis of the reaction forces in the critical region. The proposed analysis method can shorten the product design cycle and decrease the design and trial-product cost considerably.     

一类测度链上哈密顿系统的周期解

研究测度链上非自治二阶哈密顿系统周期解的存在性问题.在非线性项线性增长时,将这类系统的周期解转化为定义在一个适当空间上泛函的临界点,然后利用临界点理论建立此类系统周期解的存在性结果.     

Effect of magnetic,crystal field and exchange interactions on graphene system: a Monte Carlo study

In this article, we employ the classical Monte Carlo approach to study the magnetic properties of graphene system. We analyze the ground-state phase diagrams in the presence of external magnetic and crystal fields under effect of the exchange interactions. The critical temperature is deduced. It is proven that the model exhibits the second-order phase transitions at the transition temperature. The total magnetization with the exchange interactions has studied under the temperatures effect. The total magnetization with the crystal field has been established under effect of exchange interactions and temperatures effect. The magnetic hysteresis cycles of graphene system is deduced under effect of temperatures and crystal field. The observations are in good agreement with related experiments and the other theoretical results. It is proven that the graphene system exhibits the superparamagnetic at the transition temperature and a specific value of reduced crystal field.     

SiC单晶刻划过程的脆塑性转变特征研究

SiC单晶化学性能稳定、导热系数高、热膨胀系数小、耐磨性能好,广泛用于大功率器件产业.但由于其材料的硬度很大,加工非常困难.脆性材料塑性域加工为提高该类材料的表面质量,降低加工时间和成本提供了有效的途径.本文采用不同刀具角度和刀尖圆弧半径的单点金刚石刀具对4H-SiC单晶进行刻划实验,利用声发射、摩擦力传感器来监测刻划过程中声发射信号强度以及摩擦力的变化,并通过Leica DCM3D以及SEM观察划痕沟槽表面形貌、切屑状态,综合分析以获得4H-SiC单晶在不同角度、刀尖圆弧半径下塑脆转变的临界切削深度.结果表明,增大刀具角度有利于塑性域加工;在相同条件下,刀尖圆弧半径越大,临界切削深度越大.     

Applications of the conformal transformation method in studies of composed superconducting systems

A framework for analytical studies of superconducting systems is presented and illustrated. The formalism, based on the conformal transformation of momentum space, allows one to study the effects of both the dispersion relation and the structure of the pairing interaction in two-dimensional anisotropic high-T _c superconductors. In this method, the number of employed degrees of freedom coincides with the dimension of the momentum space, which is different compared to that in the standard Van Hove scenario with a single degree of freedom. A new function, the kernel of the density of states, is defined and its relation to the standard density of states is explained. The versatility of the method is illustrated by analyzing coexistence and competition between spin-singlet and spin-triplet order parameters in superconducting systems with a tight-binding-type dispersion relation and an anisotropic pairing potential. Phase diagrams of stable superconducting states in the coordinates η (the ratio of hopping parameters) and n (the carrier concentration) are presented and discussed. Moreover, the role of attractive and repulsive on-site interactions for the stability of the s-wave order parameter is explained.     

一类四阶非线性椭圆型问题解的存在性

研究了一类四阶非线性椭圆型超线性边值问题,对任意的参数λ,应用山路定理得到了问题存在非平凡解.     

连续配筋水泥混凝土路面的临界荷位

以三板系统模拟连续配筋水泥混凝土路面,计算获得了连续配筋路面的临界荷位.引入接缝混凝土板的传力杆设计理念,确定了连续配筋路面横向裂缝处钢筋的传荷刚度计算公式.同时,以有限元方法建立了CRCP横向裂缝处混凝土的传荷刚度计算公式.裂缝处传荷刚度的确定,为模拟CRCP荷载应力计算提供了关键参数.有限元数值计算表明：三板系统中,当边板长度大于4 m时,边界条件将不对应力计算产生影响.对于双车道路面,计算所得的板宽向最大应力位于左车道外侧车轮板底的轮迹中心处,此时的路面荷位为标准轴载位于路面右边边缘且靠近裂缝边缘,推荐此荷位作为路面承载力检验的核算位置.