基坑支护结构上的水土压力试验及计算

为研究应力路径对土体强度参数的影响,进行了模拟基坑开挖的室内模型试验。通过常规三轴压缩试验和减压三轴压缩试验分别获取土样在两种不同应力路径时的强度指标,分别用于计算模型试验支护结构上的水土压力,并与模型试验结果进行分析比较。结果表明:减压三轴试验的应力路径与模型试验的应力路径基本一致;采用减压三轴强度指标计算得到的水土压力比用常规三轴强度指标得到的要小,也更接近试验结果。     

砂土中旋挖挤扩灌注桩的抗拔模型实验

旋挖挤扩灌注桩即在桩身上通过旋挖挤扩技术形成多个承力盘,承力盘的存在扩大了承载面积,能有效提高桩的抗拔承载力.由于承力盘位于桩身,在桩身位移较小的条件下,承力盘就能发挥较高的承载力.在室内模型箱的中密砂土中进行了2×2的两盘DX群桩抗拔模型实验,对比了2D、2.5D和3D(D为盘径)3种不同桩间距的模型群桩的抗拔承载力与位移的关系,探讨了不同桩间距对承力盘抗拔承载力的影响,分析了群桩抗拔机理.根据实验结果,可以发现承载力发展很快,初始阶段承载力上升速度很快,在小位移时承载力就能达到较大值.总体上桩间距越大,各基桩在承受拉拔荷载作用时的相互影响越小,群桩承载力越大.但2.5D桩间距的群桩承载力与3D桩间距群桩承载力接近,在兼顾抗拔效果和承台面积时,2.5D的桩间距比较合理.     

The origins of mathematics education research in the UK: a tribute to Brian Griffiths

The meeting of the British Society for Research into Learning Mathematics held at the University of Southampton on 21st June 2008 was dedicated to the memory of Brian Griffiths, who had died earlier that month. At the meeting it was suggested that I write a paper tracing the development of research in mathematics education in the UK up to the writing of Mathematics: Society and Curricula, a book that Brian and I co-authored, published in 1974. This paper is dedicated to Brian's memory: I hope that it will be considered a fitting tribute to a great friend and colleague, and to an outstanding mathematician and mathematics educator.     

大型嵌岩桩底基岩侧向承载性状试验

采用经验方法确定的桩侧极限摩阻力结果存在较大误差.选取广州新电视塔C区的4个挖孔桩底基岩进行混凝土短柱和基岩摩擦试验.对桩在受压、受拉不同应力状态下的摩擦力进行分析,获得桩和岩层摩擦承载力指标.试验研究表明,桩和围岩摩阻力在不同受力状态下表现出不同性质,抗压摩阻力特征值普遍大于抗拔摩阻力特征值.定义了抗拔分项系数γ作为抗拔力计算安全储备,建议γ为1.7～2.0,试验研究成果可为重大工程提供参考.     

Exploring correlations in the stochastic Yang–Mills vacuum

The correlation lengths of nonperturbative-nonconfining and confining stochastic background Yang–Mills fields are obtained by means of a direct analytic path-integral evaluation of the Green functions of the so-called one- and two-gluon gluelumps. Numerically, these lengths turn out to be in a good agreement with those known from the earlier, Hamiltonian, treatment of such Green functions. It is also demonstrated that the correlation function of nonperturbative-nonconfining fields decreases with the deviation of the path in this correlation function from the straight-line one.     

Homoclinic solutions for nonlinear general fourth‐order differential equations

This work provides sufficient conditions for the existence of homoclinic solutions of fourth‐order nonlinear ordinary differential equations. Using Green's functions, we formulate a new modified integral equation that is equivalent to the original nonlinear equation. In an adequate function space, the corresponding nonlinear integral operator is compact, and it is proved an existence result by Schauder's fixed point theorem. Copyright © 2017 John Wiley & Sons, Ltd.     

Energy–Information Coupling From Classical to Quantum Physics

The idea of exploiting a supposedly enhanced information content of superposition states in quantum computation seems to invalidate the classical probabilistic definition of information; but this is not necessarily so.     

Time and Causality: A Thermocontextual Perspective

The thermocontextual interpretation (TCI) is an alternative to the existing interpretations of physical states and time. The prevailing interpretations are based on assumptions rooted in classical mechanics, the logical implications of which include determinism, time symmetry, and a paradox: determinism implies that effects follow causes and an arrow of causality, and this conflicts with time symmetry. The prevailing interpretations also fail to explain the empirical irreversibility of wavefunction collapse without invoking untestable and untenable metaphysical implications. They fail to reconcile nonlocality and relativistic causality without invoking superdeterminism or unexplained superluminal correlations. The TCI defines a system’s state with respect to its actual surroundings at a positive ambient temperature. It recognizes the existing physical interpretations as special cases which either define a state with respect to an absolute zero reference (classical and relativistic states) or with respect to an equilibrium reference (quantum states). Between these special case extremes is where thermodynamic irreversibility and randomness exist. The TCI distinguishes between a system’s internal time and the reference time of relativity and causality as measured by an external observer’s clock. It defines system time as a complex property of state spanning both reversible mechanical time and irreversible thermodynamic time. Additionally, it provides a physical explanation for nonlocality that is consistent with relativistic causality without hidden variables, superdeterminism, or “spooky action”.     

Implications of Local Friendliness Violation for Quantum Causality

We provide a new formulation of the Local Friendliness no-go theorem of Bong et al. [Nat. Phys. 16, 1199 (2020)] from fundamental causal principles, providing another perspective on how it puts strictly stronger bounds on quantum reality than Bell’s theorem. In particular, quantum causal models have been proposed as a way to maintain a peaceful coexistence between quantum mechanics and relativistic causality while respecting Leibniz’s methodological principle. This works for Bell’s theorem but does not work for the Local Friendliness no-go theorem, which considers an extended Wigner’s Friend scenario. More radical conceptual renewal is required; we suggest that cleaving to Leibniz’s principle requires extending relativity to events themselves.     

Non-Local Interferometry: A Causal Explanation by Means of Local Wavelet Analysis

In the following we consider the possibility of interpretating recent non-local interferometric experiments according to the De Broglie causal model. With the help of a simplified mathematical model based on wavelet analysis it is indeed possible to explain it in a causal way. Furthermore we show the distinctions between the two formalisms and discuss some experimental conditions that may make these differences evident.