Exact Boundary Synchronization by Groups for a Kind of System of Wave Equations Coupled with Velocities*

This paper deals with the exact boundary controllability and the exact boundary synchronization for a 1-D system of wave equations coupled with velocities. These problems can not be solved directly by the usual HUM method for wave equations, however, by transforming the system into a first order hyperbolic system, the HUM method for 1-D first order hyperbolic systems, established by Li-Lu(2022) and Lu-Li(2022), can be applied to get the corresponding results.     

Estimation of IIR Systems with Binary-Valued Observations*

Estimation and control problems with binary-valued observations exist widely in practical systems. However, most of the related works are devoted to finite impulse response (FIR for short) systems, and the theoretical problem of infinite impulse response (IIR for short) systems has been less explored. To study the estimation problems of IIR systems with binary-valued observations, the authors introduce a projected recursive estimation algorithm and analyse its global convergence properties, by using the stochastic Lyapunov function methods and the limit theory on double array martingales. It is shown that the estimation algorithm has similar convergence results as those for FIR systems under a weakest possible non-persistent excitation condition. Moreover, the upper bound for the accumulated regret of adaptive prediction is also established without resorting to any excitation condition.     

Electron doping induced stable ferromagnetism in two-dimensional GdI3 monolayer

As a two-dimensional material with a hollow hexatomic ring structure, Néel-type anti-ferromagnetic (AFM) GdI₃ can be used as a theoretical model to study the effect of electron doping. Based on first-principles calculations, we find that the Fermi surface nesting occurs when more than 1/3 electron per Gd is doped, resulting in the failure to obtain a stable ferromagnetic (FM) state. More interestingly, GdI₃ with appropriate Mg/Ca doping (1/6 Mg/Ca per Gd) turns to be half-metallic FM state. This AFM−FM transition results from the transfer of doped electrons to the spatially expanded Gd-5d orbital, which leads to the FM coupling of local half-full Gd-4f electrons through 5d−4f hybridization. Moreover, the shortened Gd−Gd length is the key to the formation of the stable ferromagnetic coupling. Our method provides new insights into obtaining stable FM materials from AFM materials.     

各向异性损伤力学在螺纹疲劳寿命预估中的应用

引用损伤力学方法研究金属构件疲劳问题。在微结构力学模型基础上建立轴对称的各向异性疲劳损伤本构关系,通过有限元-附加力解法编制考虑各向异性损伤的有限元程序。应用引入门槛条件的损伤演化方程,并以损伤划分步长预估了构件疲劳裂纹形成与扩展寿命。用这一方法预估30CrMnSiNi2Aφ5和φ8螺栓全寿命。结果表明,理论S-N曲线与试验S-N曲线吻合良好并且门槛条件对修正低应力下疲劳寿命有很好的效果。本方法所需机时较少,可用于工程实际构件的高周疲劳寿命预估及抗疲劳优化设计。     

含界面裂纹的不可压缩双金属胶接件的解析变分－守恒积分解法

本文根据平面问题的复变函数理论推导了含界面裂纹双金属胶接件满足微分方程、开裂界面边界条件与未开裂界面连续条件的应力与位移本征函数展开式，并建立了不可压缩双金属界面裂纹的复合型守恒积分及其与应力强度因子之关系，进而利用分区广义变分原理满足其余边界条件确定包含应力强度因子在内的展开式系数，得到守恒积分并求出应力强度因子．数值计算表明，沿不同回路的在恒积分具有很好的守恒性而且由这两种方法所得应力强度因子具有很好的一致性．     

固体发动机保险机构在高温高压下的实验研究

针对固体发动机部件保险机构所出现破现象,对其进行了激光散斑和电阻应变法联合测试。由于保险机构在高温和高压环境下工作,材料有蠕变现象,出现较大的热变形,传统的光我法实施,发展了一种叠合散斑技术,使之能够对大变形进行非接触式测量,在实验室测试的基础上,对保险机构进行了热容器试验,测量了点火后应变随时间的变化规律。实验结构发现,在保险机构机体上存在着一个接近破环应力的高危应力区,这是保险机破坏的主要因素     

碳纤维缠绕铝内胆气瓶的有限元分析与自紧设计

碳纤维缠绕铝内胆气瓶应用广泛，由于贮气压力高，安全性特别重要。铝内胆外表缠绕碳纤维的气瓶的重量比金属气瓶轻很多，已从航天航空应用转向民用。这种气瓶的设计和制造，在我国，国家标准还没有公布，在国际上较多采用DOT CFFC标准。本文对气瓶进行深入的有限元分析，参考DOT CFFC标准来讨论气瓶的设计和自紧。如采用其他标准，做法是一样的。本文有限元分析采用ANSYS程序。     

非饱和土的广义朗肯土压力

本文从 4条基本假设出发 ,建立了非饱和土的广义朗肯土压力公式 ,采用理想试验对该公式进行了验证 ,在北京地铁13号线的东直门车站基坑工程中理论分析结果和实测值非常接近 ,证明了该理论的有效性。土的广义朗肯土压力公式建立了土的试验指标与原位指标的关系 ,从理论上给出了用土的试验指标得到原位主动 (被动 )土压力的方法。对于非饱和土 ,采用简单易得的直剪试验指标应用广义朗肯土压力公式就可以得到相当精确的结果 ,弥补了扩展朗肯土压力理论的不足。而且广义朗肯土压力公式能够合理利用已有的工程经验和工程数据 ,为非饱和土力学的工程实用化提供了一条新的思路。     

RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES(Ⅸ)—THERMOMECHANICS

The existing fundamental laws of thermodynamics for micropolar continuum field theories are restudied and their incompleteness is pointed out. New first and second fundamental laws for thermostatics and thermodynamics for micropolar continua are postulated. From them all equilibrium equations and the entropy inequality of thermostatics as well as all balance equations and the entropy rate inequalities are naturally and simultaneously deduced. The comparisons between the new results presented here and the corresponding results demonstrated in existing monographs and textbooks concerning micropolar continuum mechanics are made at any time. It should be emphasized to note that, the problem of why the local balance equation of energy and the local entropy inequality could not be obtained from the existing fundamental laws of thermodynamics for micropolar continua, is believed to be clarified.     

复合材料结构的内部分层及其扩展

本文用接触观点分析了复合材料壳体结构的内部分层问题，建立了求解摩擦接触问题的有限元迭代格式，并采用释放率判据分析分层裂纹的扩展。分层裂纹前缘采用轴对称奇异单元，并了结构的大变形特性。计算表明，层间裂纹呈Ⅱ型扩展趋势。本文同时还分析了层间摩擦系数的影响，并指出分层将导致壳体结构承载能力显著下降。