【作者】 高雪冰；

【导师】 顿志林；

【作者基本信息】 河南理工大学 ， 岩土工程， 2007， 硕士

【摘要】 为了较切实地反映岩土地基的实际工作状况,国内外许多学者对此深入而广泛的研究结果及大量工程实践表明,在一些情况下把地基模型简化为横观各向同性弹性半空间可以代表范围广泛的地基。据此,本文在国内外许多学者研究的基础上,结合课题组的已有研究成果,对特殊（各向异性体的材料特征值s₁=s₂=s的情况）横观各向同性地基在几种常见荷载作用下的轴对称和一般空间问题进行了较系统的研究。首先,将各向同性弹性力学中的位移函数推广到横观各向同性地基空间问题,应用位移解法,同时利用Hankel积分变换和Bessel函数理论,得到了特殊横观各向同性地基轴对称和一般空间问题的位移及应力分量的解析表达式。其次,根据该位移及应力分量的一般表达式,求得了特殊横观各向同性地基在垂直轴对称和单向水平荷载作用下、圆形均布垂直和圆形单向均布水平荷载作用下、垂直集中和单向水平集中荷载作用下、半球形垂直和半球形单向水平荷载作用下、凹盒形垂直和凹盒形单向水平荷载作用下在z轴及地基表面上的位移和应力分量的解析表达式。最后,将特殊横观各向同性地基和各向同性地基在相同类型荷载作用下所得的位移及应力分量的解析表达式进行对比分析,进而得到相应的异同点及规律,以便进一步完善岩土地基的设计理论。更多还原

【Abstract】 For rather pressingly reflect the actual work status of cohesive soil foundation, the thorough and abroad study for withal of many home and oversees scholars and mass practice make clean, it is feasible when the foundation model is simplified transversely isotropic elastic half-space model. Hereby, based on the present research of many scholars about that and the bypast study of this task team, this thesis did the quite economy research on the axis symmetry and commonly space problem of the especial（when material eigenvalue of anisotropy body s₁=s₂=s ） transversely isotropic elastic foundation by the action of the different loads. Firstly, the displacement founction in isotropic elastic mechanics is extended to the space problem of the transversely isotropic foundation, simultaneity by using displacement method and Hankel integral transformation or Bessel function theory, the analytic expression of displacement and tress heft about the axis symmetry and commonly space problem of the especial transversely isotropic foundation are available. Secondly, according to the gengreal expression of dis- placement and tress heft, the analytic solution of displacement and tress heft are gained on z axis and the surface of the especial transversely isotropic foundation caused by the action of vertical axis and unilateralism level load, uniformity apeak and unilateralism level load uniformly distributed on a circular area, vertical focus and unilateralism level point force load, half-spherical apeak and unilateralism level load, concarve-basin apeak and unilateralism level load on a circular area. Finally, in this thesis the comparison and analyse about displacement and tress heft has been done between the solutions calculated by the especial transversely isotropic foundation and the ones calculated by the isotropic foundation in the same types loads, for ulteriorly gained the corresponding similarities and differences very orderliness, so that fartherly perfect designed theoretics of cohesive soil foundation.更多还原