弹性力学

And then the influence of two of the damage models, the Kachanov and the gradient-dependent constitutive equations, on the well-posed properties of the fundamental equations in continuum damage mechanics is studied according to the characteristic method of the quasi-linear partial differential equations under the case of one dimension elastic damage.

首先从非局部理论出发，推导了应变梯度损伤本构方程；然后利用一阶拟线性偏微分方程组的特征理论，在一维弹性损伤情况下分析了两种不同的本构模型，即Kachanov损伤本构方程与应变梯度损伤本构方程，对连续介质损伤力学基本方程适定性的影响。

In order to study basic roof's destruction movement that affects working face in horizontal section top coal caving in mining steep seams, this paper analyses tension of roof using elastic and thin board theory and concludes criterion of roof destruction based on long and narrow thin board.

摘要为研究急斜煤层水平分段放顶煤开采过程中基本顶破坏活动对工作面的影响，根据急斜煤层基本顶具有倾斜狭长板的特点，运用弹性薄板理论对基本顶岩层进行了拉应力分析，得出了顶板破断的判别准则，建立了基本顶初次破断后形成的&铰接结构&的力学模型。

When the velocity proportion of longitudinal wave to transverse wave of a bed is distinctly different from that of another bed, the reflection factor will be changed with the variation of incident angle according to the elastic wave mechanics, which is the foundation of AVO theory.

由弹性波动力学理论可知，当一种岩层纵、横波速度与另一种岩层纵、横波速度之比明显不同时，反射系数随入射角的变化而变化。

Based on the work presented in paper , a new homogenisation method for the analysis of assemblage of elastic contact bodies is proposed in this paper.

基于文献 [1]的工作，给出弹性接触颗粒状组成周期性结构材料宏观力学均匀化分析新方法。

Three typical micro-mechanical models for the elastic constants analysis of stitched composites are compared by calculating,wihch are in-plane fiber bend model,sine waviness model and polynomially described fiber waviness model.

通过计算对比了铺层纤维面内弯折、正弦波状弯曲、多项式描述纤维弯曲三个典型的缝合复合材料弹性常数的细观力学分析模型。

The main research contents are as follows:1. Through massive calculation, analysis and comparison, sum up the similarities and differences between the special-shaped cross sections and rectangular cross sections in mechanical features, between reinforced concrete special-shaped columns and rectangular columns in load-bearing capacity, ductility performance and provide necessary basic concepts and data for further understanding the characteristics of the special-shaped columns;2. Through massive elastic calculations and elasto-plastic analysis, under the preconditions of satisfying the code's requirements for axial compression ratio, limit value of lateral displacement and load-bearing capacity of normal section,oblique section and beam-column joint, under circumstances of different intensity of earthquake, structure dead weight, sort of site and column grid bay dimension, the variation regularity of maximum suitable height of structure, and thus sum up the maximum suitable height of structure for code for the purpose of macro-control while deciding the design scheme;3. Make a preliminary study on the stress feature of reinforced concrete special-shaped column and Z-shaped column of which the ratio of limb length to limb thickness is between 4~5 ,and the preliminary design method is suggested;4. Through elato-plastic time history dynamic analysis of typical projects, check up the weak storey of the special-shaped column structure and yielding, breaking and collapse mechanism to satisfy the earthquake resistant requirement to buildings of remaining stand under strong earthquake;5. Derive for project use simplified calculation formula of vibration period, suitable vibration period, suitable rigidity of special-shaped column structure through theoretical analysis, and provide an easy and practical method for deciding the structure scheme economically, safely and reasonably;6. Based on the study achievements in theory and massive analysis and calculations of this paper, sum up the regularities of inner force, deformation of special-shaped column structure and seismic conceptual design, and thus the suggection of seismic design of special-shaped column structures is presented.

本文研究的主要内容如下：通过大量的计算、分析和对比，总结出异形截面与矩形截面在力学特性、钢筋混凝土异形截面柱与矩形截面柱在承载能力、延性性能等方面的异同，为深入了解异形截面柱的特点提供必要的基本概念和数据；通过大量的弹性及弹塑性计算分析，在满足规程对轴压比、侧移限值及正截面、斜截面、节点承载力抗震验算要求的前提下，在不同抗震设防烈度、结构自重、场地类别及柱网开间尺寸情况下最大适宜高度的变化规律，并在此基础上总结归纳出异形柱结构的最大适用高度规定，可用于规程，以便于在确定方案时起到宏观控制的作用；对肢长与肢厚比在4～5的钢筋混凝土异形截面柱及Z形柱的受力特点进行初步探讨，提出初步的设计方法；通过对典型工程的弹塑性动力时程分析，检验异形柱结构的薄弱层及屈服、破坏、倒塌机制，以达到建筑物大震不倒的抗震设防要求；通过理论分析，推导出异形柱结构自振周期，以及适宜自振周期、适宜刚度的工程实用简化计算公式，为经济、安全、合理地确定结构方案提供简便实用的方法；在本文理论分析、计算以及大量的研究成果基础上，总结归纳出异形柱结构内力、变形的规律及抗震概念设计内容，并在此基础上提出异形柱结构的抗震设计建议。

The elasticity of soft sample,especially biomolecules,is one of the most attractive issues in the field of nano measurement with atomic force microscopy.

利用原子力显微镜技术研究柔软样品特别是生物分子的力学性质是当前生物物理的热点之一，但在柔软样品的压弹性方面的研究结果远离实际情况。

A radial basis function with polynomials interpolation method and a Heaviside step function are chosen for establishing local Petrov-Galerkin formulations of hyperelasticity.

提出了求解超弹性材料静力学、动力学、静态接触和动态碰撞等问题的局部Petrov-Galerkin方程。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。