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By means of the complex variable function method and introducing the conformal transformation,the anti-plane shear problem about two semi-infinite collinear cracks in one-dimensional hexagonal quasicrystals was investigated and the exact solution to mode Ⅲ SIFs was found out.

利用复变方法,通过引入适当的保角映射,研究了一维六方准晶狭长体中双半无限共线裂纹的反平面剪切问题,给出了Ⅲ型裂纹问题的应力强度因子的精确解。

Fourier transforms are used to reduce the problem to the solution of a pair of dual integral equations, which are then reduced to a Fredholm integral equation of second kind by the Copson-Sih method, and anti-plane displacement, electric potential and stress are obtained.

通过Fourier积分变换,将混合边值问题转化为对偶积分方程,并利用Copson-Sih方法将对偶积分方程转化为第二类Fredholm积分方程进行求解,给出了反平面位移、电势及应力分量的解析表达式。

After experimental testing, experiments have been carried out to study the characteristics of the subcritical growth of anti-plane shear crack in two kind of rocks from China (Beijing marble and Jinan gabbro).

在实验验证后,用这个装置和方法对两种中国岩石(北京房山大理岩和济南辉长岩)的反平面剪切裂纹扩展的特性进行了实验研究,结果表明

In this paper, an un-circular piezoelectric inclusion embedded in an infinite piezoelectric matrix is analysed in the framework of linear piezoelectricity.

本文以椭圆夹杂为例,讨论了在线性压电学范围内的无限压电基体内嵌有非圆形压电夹杂的反平面问题。

Second, transient flow for vertical well and fractural well in porous media with arealanisotropy has been researched in this paper. The analytic solution for vertical well andsemi-analytic solution for vertical fractural well is developed by using image inversion,superposition principle, Laplace transformation, Fourier transformation, as well as theirinverse transforms, and storage and skin are taken into account. For vertical fractural well,influence of pressure and productivity is studied when the orientation of artificial fractureisn't in accordance with the direction of major permeability, it is fundamental to evaluatepotential and analyze well test data.

文中研究了平面各向异性储层不定常渗流问题,建立了平面各向异性储层交叉直线边界中一口直井渗流的数学模型,利用镜像反演、Laplace变换、Fouier变换及其反变换推导了不同边界条件下直井的Laplace空间解析解,考虑井储和表皮的影响,分析了曲线特征及影响因素的敏感性曲线;并运用影响椭圆及Duhamel叠加原理,推导了平面各向异性储层中垂直裂缝井的压力分布方程,考虑了水力裂缝与主渗透率轴成一定角度对压力及产能的影响,为垂直裂缝井的产能评价及试井分析提供依据。

This thesis presents the analytical solution for anti-plane problem of an elliptical inhomogeneity with non-uniformly distributed eigenstains embedded in anisotropic elastic media with a single plane of symmetry.

本文求解了具有一个弹性对称面各向异性介质椭圆夹杂受非均匀特征应变作用时的反平面问题的弹性应力、应变场。

Through field measurement for the contact pressure of box foundation with Ⅰ shaped plane of a high rise building on cobble subsoil, the distribution law of the contact pressure has been diagrammed. At the same time, the contact pressure has been calculated with finite compression layer model, which is well accordant with the measured result. The relative error of average value for the measured to the calculated contact pressure is 6.9%. This shows that the numerical calculation is right.

通过对西南交通大学某教学楼箱形基础基底反力的实测结果,得出了&Ⅰ&形平面箱基置于密实卵石层上的基底反力分布规律,又用有限压缩层地基模型对该箱基反力进行了计算,结果表明:实测反力与计算反力分布规律一致,实测反力平均值与计算反力平均值相对误差为6.9%,也说明此法计算箱基反力是可行的。

Because there is no standard of fracture mechanics experiment for rocks, before applying the new method to study anti-plane shear crack, testing experiments had been carried out by using it on universal testing machine Instron 1185 to measure the values of Kic and Kiiic for rocks (Black Gabbro, Carrara Marble, Tennessee Sandstone), which had been obtained by using other experiment methods and technology before.

因为对于岩石还没有相应的断裂力学实验规范。因此在把本装置用于岩石反平面剪切裂纹研究之前,先用它对已经用其它技术测定了断裂力学常数,K〓,的岩石(Black Gabbro,Carrara Marble,Tennessee Sandstone)在Instron 1185万能试研机上用该装置进行了相应的K〓,K〓等测定。

The elasticity theory of dislocation of cubic quasi crystal is developed, and analytical expressions of displacement and stress fields for screw dislocation in cubic quasi crystal are obtained by using governing equations of anti plane elasticity problem of the quasi crystal.

本文发展了立方准晶的位错弹性理论,通过立方准晶的反平面弹性问题的控制方程,得到了其含有螺型位错时的位移场与应力场的解析表达式。

In this paper,the problem of a mode Ⅲ crack in a functionally graded strip is studied with the assumption that the reciprocals of the shear modulus is a linear function in the thickness direction,while the Possion s ratio is kept constant.

作者假设功能梯度材料剪切模量的倒数为坐标的线性函数,而泊松比为常量,研究功能梯度板条的反平面裂纹问题。

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