弹性

For the first patern, elastic dynamics is adopted to study the steady state rolling contact, elastic dynamics incorporating with rigid dynamics is adopted to study the non-steady state. For the steady state, the analytical solution is obtained, and for the non-steady state, the variational formulation to solve the problem numerically is derived For the later patern, the function type friction coefficient is introduced. On the basis of the quasi-stastic theories of constant friction coefficients, both the exact theory and the simplified theory of the function type friction coefficient are established, the computer programms for both the theories are also made out. Using the function type friction coefficient, Shen-Hedrick-Elkins theory's application range is extended to large creepage .

对于速度对接触体力学特性的影响，本文采用弹性动力学方法和弹性动力学与刚体动力学相结合的方法分别对稳态和非稳态两种情况进行了研究，得到了稳态情况的解析解，给出了对非稳态情况进行数值求解的变分公式；对于速度对相关物理量的影响，本文主要讨论了速度对摩擦系数的影响，在滚动接触准静态理论的基础上引进了函数型摩擦系数，建立了函数型摩擦系数的滚动接触准静态精确理论和简化理论，并分别编制了相关的计算程序，还用函数型摩擦系数将简便的Shen-Hedrick-Elkins理论的适用范围扩展到大蠕滑区。

And by using the initial conditions as well as the end conditions, the dynamic problem is then transferred to a second kind Volterra integral equation about the function of the axial strain with respect to time which can also be solved successfully by the interpolation method. For piezoelectric and pyroelectric hollow cylinders, by following the solving procedure for elastic hollow cylinder and by using the electric boundary conditions, the dynamic problems are transferred to two Volterra integral equations about two functions of time, one is axial strain and the other is related to electric displacement, which can also be solved efficiently and quickly by employing interpolation method. The elastodynamic solutions of hollow spheres, which are made of elastic, piezoelectric and pyroelectric materials, respectively, for spherically symmetric problems are also obtained.

对于弹性空心圆柱，通过引入一特定函数将非齐次边界条件化为齐次边界条件，然后利用正交展开技术，导出关于时间函数的方程，再结合初始条件和端部边界条件，将原问题转化为关于一个时间函数的第二类Volterra积分方程，运用插值法可给出此积分方程的解；对于压电和热释电空心圆柱，利用求解弹性空心圆柱相似的方法，再结合电学边界条件，原问题转化为关于两个时间函数（轴向应变和与电位移有关的函数）的第二类Volterra积分方程组，同样可用插值法来构造相应的递推公式高效地求解此积分方程组。

In this project, we study the theory of higher order differential equations in Banach spaces and related topics. We solve an open problem put forward by two American Mathematicians and two Italian Mathematicians concerning wave equations with generalized Weztzell boundary conditions, introduce an existence family of operators from a Banach space $Y$ to $X$ for the Cauchy problem for higher order differential equations in a Banach space $X$, establish a sufficient and necessary condition ensuring $ACP_n$ possesses an exponentially bounded existence family, as well as some basic results in a quite general setting about the existence and continuous dependence on initial data of the solutions of $ACP_n$ and $IACP_n$. We set up quite a few multiplicative and additive perturbation theorems for existence families governing a wide class of higher order differential equations, regularized cosine operator families, regularized semigroups, and solution operators of Volterra integral equations, obtain classical and strict solutions having optimal regularity for the inhomogeneous nonautonomous heat equations with generalized Wentzell boundary conditions, gain novel existence and uniqueness theorems,which extend essentially the existing results, for mild and classical solutions of nonlocal Cauchy problems for semilinear evolution equations, present a new theorem with regard to the boundary feedback stabilization of a hybrid system composed of a viscoelastic thin plate with one part of its edge clamped and the rest-free part attached to a visocelastic rigid body. Also we obtain many other research results.

在本研究中，我们对Banach空间中的高阶算子微分方程的理论以及相关理论进行了深入研究，解决了由美国和意大利的四位数学家联合提出的一个关于广义Wentzell边界条件下的波动方程适定性的公开问题，恰当地定义了Banach空间中的高阶算子微分方程Cauchy问题的算子存在族及唯一族，建立了齐次和非齐次高阶算子微分方程Cauchy问题适定性的判别定理，获得了关于高阶退化算子微分方程的算子存在族、正则余弦算子族、正则算子半群、Volterra积分方程解算子族的乘积扰动和混合扰动定理，得到了关于以依赖于时间的二阶微分算子为系数的一大类非自治热方程非齐次情形下的时变广义Wentzell动力边值问题的古典解、严格解的最大正则性结果，获得了半线性发展方程非局部Cauchy问题广义解和经典解存在唯一的判别条件，从实质上推广了现有的相关结果；得到了一部分边缘固定而另一部分附在一粘弹性刚体上的薄板构成的混合粘弹性系统的边界反馈稳定化的新稳定化定理，还建立了一系列其他研究结果。

Based on SEM observations of eroded surface as well as simulative measurements of plough-cutting resistant capacity W and localized surface layer elasticity h for the tested alloys, an attempt has been made to discuss the failure mechanism and factors characterizing the resistance.

结果表明，Fe-25Mn-6Si-7Cr形状记忆合金在含沙多相流中的失效机制主要是泥沙犁削，其损伤抗力因高的局域弹性和高的犁削抗力而优于不锈钢0Cr13Ni5Mo，局域弹性高是其损伤破坏速度效应低和空蚀与泥沙冲刷磨损交互作用小的根本原因。

The viscoelasticity can cause energyattenuation, frequency dispersion, phase distortion of the seismic wave, and sometimes lead the seismic processing and interpretation based on the elastic wave theoryinto a risky trap.

粘弹性介质造成地震波能量衰减、频率发散、相位畸变，并使得一些基于弹性波理论的地震处理和解释技术面临踏进"陷阱"的危险。

The results showed the effect of initial bonded width and stress distributions in the cases of adhesional and un-adhesional contact, respectively. Furthermore, the powder densification process was analyzed under the initial condition of stress distribution derived from elastic contact with adhesion.

比较了满足粘着或非粘着对结合宽度和应力分布的影响，将考虑粘着的弹性接触应力场作为初始条件，分析了弹性变形和表面扩散共同驱动的粉末冶金热压烧结致密化规律。

Our ELASTIC THREAD are major used for gloves,socks,cuffs,garments,sweaters to increase the elastic of the special parts,and also has the advantages such as excellent elastic,ametabolic,wearable,low-cost.

橡筋线，包芯纱。主要用于手套，袜子，护膝，服饰，羊毛衫等需要增加弹性的部位，具有弹性好，不变形，耐磨，价格便宜等特点。

Our rubber yarn are major used for gloves,socks,cuffs,garments,sweaters to increase the elastic of the special parts,and also has the advantages such as excellent elastic,ametabolic,wearable,low-cost.

橡筋线，包芯纱。主要用于手套，袜子，护膝，服饰，羊毛衫等需要增加弹性的部位，具有弹性好，不变形，耐磨，价格便宜等特点。

Thus, it is reasonable to speculate that impairment of lung tissues resulting from the imbalance between protease and antiprotease system due to α〓AD may be predisposed to the development of lung cancer, and may also be related to the susceptibility to lung cancer.

AT活性降低使个体发展为肺癌的危险性增加。我们有理由推测由于α〓AT缺乏导致的弹性蛋白酶/抗弹性蛋白酶平衡系统的失衡，进而产生的肺组织损伤可能是肺癌发生的前期病变和重要基础。

The reconstruction of elastic fiber occurs after arterious anastomosis and newborn elastic fiber originates from endoarterious layer.

动脉壁的弹性纤维在术后经历了重建过程，30天弹性纤维的形态结构趋于正常。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。