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Based on the primacy aeolotropy rock, transversely isotropic rocks is hypothesized. With the theory of the stress distribution of the rockmass, disaster character of tunnel excavating in the type of transversely isotropic rocks is analyzed, and some strategy and technology of uniso-intensity support are raised.

论文以原生型各向异性物质特征为基础,以岩体横观各向同性为假设条件,利用前人的理论研究结果,对于隧道开挖在此类各向异性岩体中的破坏特征进行了分析和总结,提出了不等强支护的策略技术。

In chapter 3, on basis of the first order shear deformation theory, a series of composite laminated beam elements are developed, which are plied transversely, longitudinally and/or assembled both, respectively. A geometric nonlinear element stiffness matrix for the transversely plied laminated beam is presented.

第三章首先介绍了目前已有的在小变形下的横向层合梁、纵向层合梁和组合层合梁理论,并推导了其相应的有限元列式,然后又基于Von-Karman大挠度理论的几何关系,推导了大变形下横向层合梁的单元切线刚度阵。

Then, the differential equations are solved by the Fourier expanding and Hankel integral transform method. Integral solutions of soil skeleton displacements and pore pressure as well as the total stresses for poroelastic media are obtained. Furthermore, a systematic study on Lamb's problems in transversely isotropic saturated half-space is performed. Integral solutions for surface radial, vertical and tangentical displacements are obtained both in the case of drained surface and in the case of undrained surface excited by vertical and tangentical harmonic resources respectively. Numerical results show the obvious difference between the model of isotropic saturated poroelastic media and that of transversely isotropic saturated poroelastic media.

其次,基于Biot波动理论,在圆柱坐标系下求解了横观各向同性饱和土的Biot波动方程:通过引入位移函数,在圆柱坐标系下将横观各向同性饱和土的Biot波动方程转化为两个解耦的6阶和2阶控制方程,然后根据方位角的Fourier展开和径向Hankel变换,求解波动方程,得到以土骨架位移和孔隙水压力为基本未知量的积分形式一般解,并用一般解给出了饱和土总应力分量的表达式;再以基本解为基础,系统地研究了横观各向同性饱和半空间体的Lamb问题,考虑表面排水或不排水两种情况后,首次得到横观各向同性饱和半空间体在表面竖向和水平谐振力作用的下径向、竖向和周向位移的解析解。

Finally, based on the fundamental solutions of Biots consolidation of transversely isotropic saturated multi-layered soils, the Fredholm integral equation of second kind for the interaction between transversely isotropic saturated multi-layered soils and rectangular piles is established, the relevant numerical analysis is also carried out.

最后,基于横观各向同性层状饱和地基Biot固结问题的基本解答,建立了横观各向同性层状饱和地基与方形单桩、群桩共同作用问题的第二类Fredholm积分方程,并进行了数值分析与计算;通过将矩形刚性基础基底划分成若干个大小相等的矩形网格,用矩形均布荷载表示网格的基底反力,并利用已获得的横观各向同性层状饱和地基Biot固结问题的基本解来求解每个矩形网格的柔度系数,然后根据刚性基础与层状饱和地基的接触条件和其本身的静力平衡条件,求解分析了横观各向同性层状饱和地基与刚性矩形板的共同作用问题。

Adopting the Biot's wave equation of transversely isotropic saturated soils and taking the influence of the frequencyon on the viscous coupling effect between the solid and liquid media into account, the reflection on the half-space surface of transversely isotropic saturated soil is studied. It challenges traditional view of only considering low frequency couple effect in saturated soils.

采用横观各向同性饱和土体的Biot波动方程,考虑频率对固液两相粘滞耦合作用的影响,深入研究了弹性波在横观各向同性饱和土体半空间的反射,克服了以往饱和土体仅考虑低频耦合作用的做法。

Fruit indehiscent, samaroid silicles, transversely oblong or ovoid, 1-seeded, thin walled, with woody and coarsely reticulate venation, angustiseptate, sessile, transversely 2-winged, 2-16-spined; wings prominent, longer or shorter than main part of fruit, with 3-20 subparallel veins extending full length; spines often unequal in length, at least some subparallel to pedicel, those on the seed-bearing fruit half longer; replum and valves margin united into a longitudinal vein; septum complete; style absent, obsolete, or conical and to 5 mm; stigma capitate, entire, long papillate.

果不裂,突出的翅,长或短于主要果,具3-20近平行脉深裂延长全长;刺通常不等长,在花梗,那些在种子取得成果半长上近平行的一些的至少;假隔膜和阀门边结合成为一纵向脉;隔膜完全;花柱无,废退,或者圆锥状和对5毫米;柱头头状,全缘,长具乳突。

Using group theory, author researched the theoretical discriminating method of rock aeolotropy types from aeolotropy type of rock, elastic symmetrical direction and the number of independent elastic parameter of rock and established the aeolotropy discriminant criteria of transversely isotropic rock and orthotropic rock first time.

论文首次运用群论的方法,从岩石材料各向异性类别、岩石材料的弹性对称方向和独立弹性参数的个数三个方面入手,研究了岩石材料各向异性类别的理论判别方法,并建立了横观各向同性的各向异性体和正交类各向异性体的各向异性类别判别体系。

With aid of techniques of analytical continuation and conformal mapping, exact solutions are obtained for three typical problems concerning Eshelby's inclusion. The three problems are1 interaction between an arbitrarily shaped Eshelby inclusion and a circular inhomogeneity in transversely isotropic piezoelectric medium; 2 interaction between an arbitraily shaped Eshelby inclusion and an interface in anisotropic piezoelectric medium, the interface in our investigation may be a perfect interface, or a frictionless slipping interface , or a compliant electrode layer is embedded along the full interface of the bimaterials; 3 interaction between an arbitraily shaped Eshelby inclusion and an elliptical hole in anisotropic piezoelectric medium.

通过采用解析延拓和共形映射技术,获得了压电复合材料中有关Eshelby夹杂三个典型问题的精确弹性解答,即横观各向同性压电介质中任意形状的Eshelby夹杂与圆柱异相夹杂间相互作用;一般各向异性压电介质中任意形状的Eshelby夹杂与双压电材料所形成界面的相互作用,我们所考虑的界面包括理想界面、滑动界面以及柔性金属电极层增强界面;一般各向异性压电介质中任意形状的Eshelby夹杂与椭圆孔洞的相互作用。

Seeds subglobose or slightly flat; testa pale brown, shiny, leathery, arillode absent; hilum transversely elliptic, large; embryo curved.

种子近球形的或稍平;种皮淡褐色,发亮,似皮革,拟种皮缺席;种脐横向的椭圆,大;胚弯曲

Took Chongqing Gong-he tunnel as an engineering example and studied the failure mechanism of surrounding rock and the correlation with bolt support system by using the methods of theoretical analysis, modeling test, numerical simulation and in situ test, some helpful conclusions were arrived as follows.Firstly, a new failure criterion for transversely isotropic rock mass was proposed with consideration of bedding plane orientation and major principal stress, and the corresponding algorithm, arrived through VC++6.0, can be easily embedded into the software FLAC3D for the geotechnical calculation.

论文在国家自然科学基金专项基金创新群体基金项目(No.50621403)以及国家自然科学基金重点项目"隧道与地下空间工程结构物的稳定性与可靠性(No.50334060)"的资助下,以共和隧道为示范工程,运用理论分析、物理模型实验、数值模拟和现场测试等手段,对共和隧道大埋深段层状岩体的围岩变形破坏机理、锚杆支护力学效应及围岩-支护结构的变形特征等内容进行了研究,其主要研究成果有:①在总结和探讨国内外学者提出的层状岩体经验型连续介质破坏准则基础上,结合层状岩体力学特性,考虑层面方向和最大主应力方向两个影响因素,提出了共和隧道层状岩体横观各向同性破坏准则;采用汇编语言VC++6.0实现了横观各向同性弹塑性本构关系的算法,并嵌入FLAC3D有限差分数值分析软件接口中实现数值运算。

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