Numerical evaluation of the damping‐solvent extraction method in the frequency domain

The damping‐solvent extraction method for the analysis of unbounded visco‐elastic media is evaluated numerically in the frequency domain in order to investigate the influence of the computational parameters—domain size, amount of artificial damping, and mesh density—on the accuracy of results. An analytical estimate of this influence is presented, and specific questions regarding the influence of the parameters on the results are answered using the analytical estimate and numerical results for two classical problems: the rigid strip and rigid disc footings on a visco‐elastic half‐space with constant hysteretic material damping. As the domain size is increased, the results become more accurate only at lower frequencies, but are essentially unaffected at higher frequencies. Choosing the domain size to ensure that the static stiffness is computed accurately leads to an unnecessarily large domain for analysis at higher frequencies. The results improve by increasing artificial damping but at a slower rate as the total (material plus artificial) damping ratio ζ_t gets closer to 0.866. However, the results do not deteriorate significantly for the larger amounts of artificial damping, suggesting that ζ_t≈0.6 is appropriate; a larger value is not likely to influence the accuracy of results. Presented results do not support the earlier suggestion that similar accuracy can be achieved by a large bounded domain with small damping or by a small domain with larger damping. Copyright © 2002 John Wiley & Sons, Ltd.     

中国区域成矿研究的若干问题及其与陆-陆碰撞的关系

在中国区域成矿作用研究中 ,遇到诸多重大问题 ,如 :(1)中国东部属于环太平洋地区之一 ,但为什么热液矿床大规模成矿时代不同于环太平洋的新生代 ,而爆发于中生代的燕山期 ?(2 )中国陆区经历了 >3.0Ga的演化 ,为什么大规模成矿作用在东部地区爆发于燕山期 ,西南特提斯成矿域爆发于新生代 ,而西北中亚成矿域爆发于海西期晚期 ?(3)国外不少著名成矿省位于太古宙克拉通内部 ,为什么中国的有色贵金属等热液矿床却集中分布于显生宙造山带内部或其边缘 ?(4)按照绿岩带金矿成矿理论 ,绿岩带型金矿化伴随或尾随于克拉通化 ,形成在太古宙 ,为什么中国绿岩带型金矿却形成在克拉通化后的 2 0多亿年以后的中生代 ?(5 )世界范围内 ,海相油田的重要性远大于陆相 ,为什么中国情况恰相反 ,陆相油田远比海相油藏重要 ?……。笔者认为这些问题彼此相关 ,代表了中国区域成矿的特色 ,其根本原因在于中国陆区不同构造单元经历了晚古生代以来的强烈碰撞事件 ,因此加强研究碰撞造山体制的成岩、成矿、成藏和流体作用是解决这些问题的关键途径。     

裂隙型单斜介质中弹性系数的计算及波的传播特性研究

根据Hudson等关于裂隙介质弹性系数计算的扰动理论及Bond变换矩阵原理，给出了各向同性介质中含多组垂直裂隙时等效弹性系数的计算方法。计算了含两组斜交的垂直裂隙形成的单斜各向异性介质中的等效弹性系数，并根据Christoffel方程推导、得出水平面内平面波传播的相速度和群速度随方位变化的特性。     

A non-linear stress-stiffness model for geomaterials at small to intermediate strains

A double exponential fitting model (DEFM) capable of expressing the non-linear stress-stiffness relationship of geomaterials has been proposed by Shibuya et al. (1997). The model comprises two material constants; the elastic stiffness at very small strains and the strength, together with other free parameters to determine the complete stress-stiffness relationship. In this paper, the capability of the original function used for DEFM in simulating the tangent stiffness-stress relationship of geomaterials is first discussed. Second, the methods for determining the free model parameters, as well as its conversion to obtain a stress-strain relationship are proposed. The applicability of DEFM to predicting non-linear stress-stiffness relationship is examined in detail in a total of forty-nine fitting cases of compression test data on sedimentary rock, artificial soft rock and soft clay. It is found that the DEFM is effective in expressing the non-linear stress-stiffness relationship of various kinds of geomaterials at small to intermediate strains, say less than 0.5%. The superiority of this model compared to other fitting models currently in use is also demonstrated in some of the fitting cases.     

Static deformation of two welded monoclinic elastic half-spaces due to a long inclined strike-slip fault

Static deformation of two monoclinic elastic half-spaces in welded contact due to a long inclined strike-slip fault situated in one of the half-spaces is studied analytically and numerically. Closed-form algebraic expressions for the displacement at any point of the medium are obtained. The variation of the displacement at the interface with the horizontal distance from the fault is studied. The effect of anisotropy on the displacement field is examined. It is found that while the anisotropy of the source half-space has a significant effect on the displacement at the interface, the anisotropy of the other half-space has only a marginal effect.     

半无限空间中圆形孔洞周围SH波的散射

建立了求解在含有圆形孔洞的弹性半空间中SH波散射与圆形孔洞附近动应力集中问题的解析方法。利用SH波散射的对称性和多极坐标的方法，构造了一个可以预先满足半空间自由表面上应力自由边界条件的圆形孔洞对SH波散射的波函数。利用这一波函数，则可将该问题转化成对一个圆形孔洞散射的求解问题。该问题的解答最终又可归结为对一组无究代数方程组的求解问题，并可利用截断有限项的方法对其进行计算，最后给出了有关圆形也洞附近动应力集中问题的算例和数值结果，并讨论了波数与圆孔至自由边界距离变化对动应力集中的影响。     

有限弹性变形地壳中的地震波

地壳由半无限大的基岩上一层厚度为H^-的表土层组成，入射地震波为垂直的SH波，产生水平地面运动。当浅源大地震发生时，在极震区以外行波传播产生地面运动将使地壳介质有非线性的有限弹性变形。用小参数摄动法使非线性控制方程为线性化的小参数各阶控制方程，得出头两阶线性控制方程的解析解。     

弹性反射波频谱分析对比法检测浆砌片石挡墙质量

大量的浆砌片石挡墙需要作快速质量检测，作者比较了利用弹性波速、瑞利面波和弹性波频谱分析法后，认为后者分辨率高，方法简单，并作了几百个点的检测，得到了成功。     

考虑轴向变形、双轴弯曲耦合效应的钢筋混凝土柱的弹塑性分析

在实际地震作用下，高层，特别是高宽比较大的高层结构中，由于倾覆力矩的作用、柱子、特别是外边柱所受轴力的变化将不可忽略。轴向变形与双轴弯曲的耦合作用，将是柱子塑性变形的显著特征。基于材料本构关系的“纤维模型”，能较精确地反映轴向变形，双轴弯曲三者之间的耦合作用。一组钢筋混凝土柱子双轴压弯的计算结果与试验结果的比较，证明了“纤维模型”的有效性和精确性。     

Relation of the Wave-Propagation Metric Tensor to the Curvatures of the Slowness and Ray-Velocity Surfaces

The contravariant components of the wave-propagation metric tensor equal half the second-order partial derivatives of the selected eigenvalue of the Christoffel matrix with respect to the slowness-vector components. The relations of the wave-propagation metric tensor to the curvature matrix and Gaussian curvature of the slowness surface and to the curvature matrix and Gaussian curvature of the ray-velocity surface are demonstrated with the help of ray-centred coordinates.