Elastic solutions for stresses in a transversely isotropic half‐space subjected to three‐dimensional buried parabolic rectangular loads     

Cheng‐Der Wang  Jyh‐Jong Liao 《国际地质力学数值与分析法杂志》2002,26(14):1449-1476

In many areas of engineering practice, applied loads are not uniformly distributed but often concentrated towards the centre of a foundation. Thus, loads are more realistically depicted as distributed as linearly varying or as parabola of revolution. Solutions for stresses in a transversely isotropic half‐space caused by concave and convex parabolic loads that act on a rectangle have not been derived. This work proposes analytical solutions for stresses in a transversely isotropic half‐space, induced by three‐dimensional, buried, linearly varying/uniform/parabolic rectangular loads. Load types include an upwardly and a downwardly linearly varying load, a uniform load, a concave and a convex parabolic load, all distributed over a rectangular area. These solutions are obtained by integrating the point load solutions in a Cartesian co‐ordinate system for a transversely isotropic half‐space. The buried depth, the dimensions of the loaded area, the type and degree of material anisotropy and the loading type for transversely isotropic half‐spaces influence the proposed solutions. An illustrative example is presented to elucidate the effect of the dimensions of the loaded area, the type and degree of rock anisotropy, and the type of loading on the vertical stress in the isotropic/transversely isotropic rocks subjected to a linearly varying/uniform/parabolic rectangular load. Copyright © 2002 John Wiley & Sons, Ltd.  相似文献   

关于多项式特征值的条件数     

刘新国  王学锋 《中国海洋大学学报(自然科学版)》2004,34(5):913-917

Tisseur(2000)研究了非齐次多项式特征值问题的条件数，所得结果的不足是对无穷特征值必须另外处理；Declieu和Tisseur(2003)运用微分几何方法研究了齐次多项式特征值问题的条件数，所得结果的不足之处是与系数矩阵的尺度化(scaling)有关。这两种条件数都有各自的应用范围。本文基于投影尺度引入齐次多项式特征值问题的条件数，其优点是与系数矩阵的尺度化无关，因而也许会有较广泛的应用。  相似文献   

Energy balance of simple elastodynamic sources     

Václav Vavryčuk 《Pure and Applied Geophysics》1994,143(4):563-586

Complete relations are derived for energy and energy flux of elastic waves generated by an isotropic and double-couple source in a perfectly elastic, homogeneous, isotropic, and unbounded medium. In the energy balance of elastodynamic sources near-field waves play an essential role, transforming static energy into wave energy, andvice versa. For explosive and dislocation sources, the sources surface radiates a positive wave energy that is partially distributed to the medium transforming into static energy. For implosive and antidislocation sources, the source surface generates elastic waves, but it does not necessarily imply that it also radiates a positive wave energy. The energy transported by waves can originate in gradual transformation of the static-to-wave energy during propagation of waves through a stressed medium.On leave from Geophysical Institute, Czech Academy of Sciences, Boní II/1401, 41 31, Praha 4 Czech Republic  相似文献   

粘粒含量对南京粉细砂液化影响的试验研究   总被引：16，自引：1，他引：16  

刘雪珠  陈国兴 《地震工程与工程振动》2003,23(3):150-155

南京粉细砂是一种以片状颗粒成分为主的粉细砂，与通常的圆形颗粒石英砂有一定区别，片状颗粒成分使得南京粉细砂具有各向异性的性质。通过对不同粘粒含量的南京粉细砂进行液化试验，分析其试验结果发现：对于粘粒含量ρc＝5％、10％和15％三种情况，在均压固结情况下，当南京粉细砂达到初始液化时，采用变形标准和孔压标准是一致的；而偏压固结时，只能采用变形标准作为南京粉细砂达到初始液化的标准，此时振动孔压仅达到围压的50％-70％。粘粒含量对南京粉细砂的抗液化强度影响很大，随粘粒含量增加，在不同固结比时，其抗液化强度并不是单调变化，而是在粘粒含量ρc＝10％左右处于一个低谷，其抗液化强度最低。  相似文献   

An attempt to estimate isotropic and anisotropic lateral structure of the Earth by spectral inversion incorporating mixed coupling   总被引：2，自引：0，他引：2  

Hitoshi Oda 《Geophysical Journal International》2005,160(2):667-682

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The use of the exponent K(q) function to delimit homogeneous regions in regional frequency analysis of extreme annual daily rainfall          下载免费PDF全文

A. P. García‐Marín  J. Estévez  C. Sangüesa‐Pool  R. Pizarro‐Tapia  J. L. Ayuso‐Muñoz  F. J. Jimenez‐Hornero 《水文研究》2015,29(1):139-151

The regional frequency analysis of extreme annual rainfall data is a useful methodology in hydrology to obtain certain quantile values when no long data series are available. The most crucial step in the analysis is the grouping of sites into homogeneous regions. This work presents a new grouping criterion based on some multifractal properties of rainfall data. For this purpose, a regional frequency analysis of extreme annual rainfall data from the Maule Region (Chile) has been performed. Daily rainfall data series of 53 available stations have been studied, and their empirical moments scaling exponent functions K(q) have been obtained. Two characteristics parameters of the K(q) functions (γ_max and K(0)) have been used to group the stations into three homogeneous regions. Only five sites have not been possible to include into any homogenous regions, being the local frequency analysis of extreme daily rainfall the most appropriate method to be used at these locations. Copyright © 2014 John Wiley & Sons, Ltd.  相似文献   

Tensionless–frictionless interaction of flexible annular foundation with a transversely isotropic multi‐layered half‐space          下载免费PDF全文

Morteza Eskandari‐Ghadi  Ghasem Gorji‐Bandpey  Azizollah Ardeshir‐Behrestaghi  Seyed Masoud Nabizadeh 《国际地质力学数值与分析法杂志》2015,39(2):155-174

A transversely isotropic multi‐layered half‐space, with axis of material symmetry perpendicular to the free surface, supports a flexible either annular or solid circle foundation. The contact area of the foundation and the half‐space is considered to be both frictionless and tensionless. The foundation is assumed to be affected by a vertical static axisymmetric load. Detailed analysis of the interaction of these two systems with different thickness of layers is the target of this paper. With the use of ring load Green's functions for both the foundation and the continuum half‐space, an integral equation accompanied with some inequalities is introduced to model the complex BVP. With the incorporation of ring‐shape FEM, we are capable of capturing both regular and singular solution smoothly. The validity of the combination of the analytical and numerical method is proved with comparing the results of this paper with a number of benchmark cases of both linear and nonlinear interaction of circular and annular foundation with half‐space. Some new illustrations are presented to portray the aspect of the anisotropy and layering of the half‐space. Copyright © 2014 John Wiley & Sons, Ltd.  相似文献   

海河流域近60 a降水极值的频率分析及时空分布特征          下载免费PDF全文

邵月红  刘玲  刘俊杰  吴俊梅 《大气科学学报》2020,43(2):381-391

以海河流域为研究区域,利用MK和F检验对站点的年最大日降雨序列进行趋势、突变和跳跃分析。基于水文气象分区线性矩法进行一致区的划分、最优分布的选择和降水极值的频率估计值计算,并分析其空间分布特征。结果表明:MK趋势和突变检验显示只有8个站点(22.9%)呈现显著下降趋势,通过了信度为0.1的显著性水平检验,特别是京津唐区域具有显著的下降趋势,突变时段主要发生在1980-1990年。均值和方差的跳跃性显示大部分站点都呈现出显著的向下跳跃,主要分布在流域的滦河子流域和北三河水系;趋势和跳跃的综合分析能够对降水极值有可能引起的旱涝灾害进行更全面合理的判断。不同重现期下的频率估计值的空间分布总体趋势一致,从东南到西北、从沿海到内陆逐渐减少,并与地形表现出很好的一致性;降水极值空间分布的中心主要集中在滦河子流域的遵化和青龙附近;大部分站点50 a一遇的估计值和AMP序列的最大观测值能够保持较好的一致性,间接反映了估计值的合理准确性。  相似文献   

Elastic fields in two joined transversely isotropic media of infinite extent as a result of rectangular loading     

H. T. Xiao  Z. Q. Yue 《国际地质力学数值与分析法杂志》2013,37(3):247-277

This paper presents the closed‐form solutions for the elastic fields in two bonded rocks induced by rectangular loadings. Each of the two bonded rocks behaves as a transversely isotropic linear elastic solid of semi‐infinite extent. They are completely bonded together at a horizontal surface. The rectangular loadings are body forces along either vertical or horizontal directions and are uniformly applied on a rectangular area. The rectangular area is embedded in the two bonded rocks and is parallel to the horizontal interface. The classical integral transforms are used in the solution formulation, and the elastic solutions are expressed in the forms of elementary harmonic functions for the rectangular loadings. The stresses and displacements in the rocks induced by both the horizontal and vertical body forces are also presented. The numerical results illustrate the important effect of the anisotropic bimaterial properties on the stress and displacement fields. The solutions can be easily implemented for numerical calculations and applied to problems encountered in rock mechanics and engineering. Copyright © 2011 John Wiley & Sons, Ltd.  相似文献   

准各向异性粘弹介质地震波的数字仿真   总被引：4，自引：0，他引：4       下载免费PDF全文

范祯祥  邓玉琼 《地球物理学报》1988,31(2):198-210

本文论述准各向异性粘弹波动方程有限元数值解地震波响应的原理与计算方法,并给出地震衰减因子与方程中粘滞系数的计算关系式。列出了所研制的地面记录地震剖面与井中记录垂直地震剖面,以及波场时间切片图、散度与旋度图、应变能与动能的时间切片图。本方法适于任意分层形态且层间物性参数为强间断的实际地震剖面的仿真,旨在研究正问题以实现反问题。  相似文献