Minimal Energy and Gravitation

Quantum theory in Robertson – Walker spacetime suggests the existence of a minimal energy ε of the order of 10⁻⁴⁵ erg. Reasonable forms for ε give the expansion factor R=R(t)(t= the cosmic time) with no need of gravitational field equations.Einstein's theory should be modified in gravitational fields of strength less than ε c/ħ ∼ 10⁻⁸ cm/s² where c is the speed of light and ħ is the reduced Planck constant. The cosmological term λ is expected to decrease as the universe expands.In the Appendix, ε is derived from a big bang – big crunch Newtonian cosmology.     

加固含水平软弱层高陡边坡预应力锚索倾角的取值范围

用直线和曲线滑面两种模型，模拟预应力锚索加固含有水平软弱层的高陡边坡的潜在滑动面，通过对锚索加固的力学机理分析来阐述预应力在滑动面主滑方向上产生分力的原因。从锚索受力角度上对锚索倾角的取值范围进行探讨，结合实际造孔过程有不同程度的孔斜或弯曲以及获取较好的锚固灌浆效果，就仰角锚固和俯角锚固两种锚固条件分别得出锚索倾角的取值范围，并以此来判定锚索的预应力是否会在滑动面走向方向上产生不利于坡体稳定的下滑力。     

含预制软弱带的岩石破裂过程的数值模拟

考虑到岩石脆性破坏过程中介质的不均匀性之特点，对岩石样品中含预制弱介质条带的岩石样品破坏过程进行二维有限元数值模拟，并对弱介质带的破坏贯通过程、新的断层的产生和有关的地震活动进行了研究．数值模型展示了岩石从变形、微观破坏到整体破坏的全过程以及微震活动的时空分布特征．应力、应变和微震活动的时空分布形象地描绘了岩石变形的局部化和时空迁移等现象，这与实际地壳中所观测到的现象是一致的．此外，模拟结果与实验观测结果也是一致或相似的．      

新疆某水利枢纽工程软弱结构面抗剪强度参数的试验研究

某水利枢纽工程位于伊犁地区,影响工程的主要问题为坝基岩体软弱结构面和断层的抗滑稳定问题。根据工程实际条件和软弱夹层特性,采取现场断层软弱结构面试验和室内模拟试验相结合,获得软弱夹层的抗剪参数。实践证明,把两种方法结合起来的试验成果可靠,尤其对一些不具备进行现场大型岩体软弱夹层抗剪试验的工程,采用室内中型直剪仪进 行剪切试验具有实用意义。     

利用SV分量接收函数反演地壳横波速度结构

详细讨论了远震体波SV分量接收函数的特点及其在反演地壳S波速度结构中的优势．与径向接收函数类似，SV分量接收函数可通过对远震体波的SV分量直接反褶积P分量获得．研究分析表明:与径向接收函数相比，SV分量接收函数的振幅随震中距的变化更加稳定，波形简单且突出了对结构最敏感的PS转换波信息．理论数值实验显示:在反演地壳S波速度结构时，SV分量接收函数比径向接收函数具有更好的收敛性．作为实例，利用SV分量接收函数反演方法反演了海拉尔台下的S波速度结构．      

复杂体型高层结构的推覆分析方法和应用

本文对钢筋混凝土高层结构进行了推覆分析研究，并编制了相应的推覆分析计算机程序。为了满足复杂体型高层结构的需要，提出了多种类型的单元，包括梁柱单元、单片墙单元、三垂直杆墙元和简体墙单元，与试验结果对比分析表明这些模型具有很好的精度，并且能够搜索到结构反应的全过程，甚至结构的软化阶段。最后对一栋具有复杂体型的高层结构实际工程进行了推覆分析研究，为结构设计提供了实用的参考依据。     

一类热流问题解的存在性

热敏半导体器件中电位与温度满足的方程组，是一个椭圆－抛物耦合组，并带有混合边界条件。利用不动点定理可证明该问题解的存在性。     

Estimation of in situ viscoelastic parameters of weak floor strata by plate-loading tests

Summary This paper explores an approach to estimation of the viscoelastic parameters of weak floor strata using plate-loading tests. Mathematical equations are derived to describe deformation-time history for the standard Burgers model under three-dimensional stress-strain conditions, which are verified with a finite element model. A number of time-dependent in-mine plate-loading tests were conducted and the values of the viscoelastic parameters were estimated based on the derived equation. It is shown that large discrepancies between the parameter values estimated from the plate-loading tests and those acquired from the in-mine convergence data are the results of neglecting adjacent pillar interaction. Finite element modelling was conducted to investigate the effects of adjacent pillar interactions upon the pillar settlement. Based on the finite element analyses, a correction curve was developed to adjust the viscoelastic parameter values to take into account the interaction between adjacent pillars. With the correction, the parameter values estimated from the plate-loading tests compared favourably with those acquired from the in-mine convergence results.