多年冻土路基水-热-力耦合理论模型及数值模拟

在建立多年冻土地区路基非稳态温度场控制方程、水分迁移的有限元控制方程和路基变形场及应力场计算模型的基础上，提出水-热-力耦合模型。以青藏公路唐南段K3393＋950的冻土路基为计算对象，得出了1月份路基温度场、水分场及应力场（变形场）的分布规律：路基温度场内部存在着未冻土核；水分场在温度梯度的作用下有向冻结冰锋线迁移的趋势；在负温条件下，土体的体积含冰量超过临界值时，将产生冻胀现象。研究结果表明，多年冻土地区路基的温度场、水分场及应力场一直处于动态变化中，路基的热状况、水分状况与变化规律及由此引起的应力重分布是引起道路冻害的主要因素。     

桥梁大体积混凝土施工温度场与温度应力的仿真分析

采用三维瞬态温度场理论,运用有限元程序ANSYS的通用平台,建立大体积混凝土温度场与温度应力有限元计算模型,对湖北野三河大桥3#主墩混凝土的温度场与温度应力进行仿真分析,计算了大体积混凝土内部温度场及仿真应力场,并与实测结果进行比较,结果显示所建立的有限元分析模型可以较好地计算混凝土施工时的温度场与温度应力。     

On the Construction of K-Operators in Field Theories as Sections Along Legendre Maps

The time-evolution K-operator (or relative Hamiltonian vector field) in mechanics is a powerful tool which can be geometrically defined as a vector field along the Legendre map. It has been extensively used by several authors for studying the structure and properties of the dynamical systems (mainly the nonregular ones), such as the relation between the Lagrangian and Hamiltonian formalisms, constraints, and higher-order mechanics. This paper is devoted to defining a generalization of this operator for field theories, in a covariant formulation. In order to do this, we use sections along maps, in particular multivector fields (skew-symmetric contravariant tensor fields of order greater than 1), jet fields and connection forms along the Legendre map. As a relevant result, we use these geometrical objects to obtain the solutions of the Lagrangian and Hamiltonian field equations, and the equivalence among them (specially for nonregular field theories).     

The Infimum of the Energy of Unit Vector Fields on Odd-Dimensional Spheres

We construct a one-parameter family of unit smooth vector fieldsglobally defined on the sphere ^2k+1 for k 2, with energyconverging to the energy of the unit radial vector field, which isdefined on the complementary of two antipodal points. So we prove thatthe infimum of the energy of globally defined unit smooth vector fieldsis

Bi-Quadratic Number Fields with Trivial 2-Primary Hilbert Kernels

Using results of Browkin and Schinzel one can easily determinequadratic number fields with trivial 2-primary Hilbert kernels.In the present paper we completely determine all bi-quadraticnumber fields which have trivial 2-primary Hilbert kernels.To obtain our results, we use several different tools, amongstwhich is the genus formula for the Hilbert kernel of an arbitraryrelative quadratic extension, which is of independent interest.For some cases of real bi-quadratic fields there is an ambiguityin the genus formula, so in this situation we use instead Brauerrelations between the Dedekind zeta-funtions and the Birch–Tateconjecture. 2000 Mathematics Subject Classification 11R70, 19F15.     

An example of a -minimal group which is not abelian-by-finite

In 1996 D. Macpherson and C. Steinhorn introduced -minimality as an analogue, for valued fields and some groups with a definable chain of normal subgroups with trivial intersection, of the notion of o-minimality. One of the open questions of that paper was the existence of a non abelian-by-finite -minimal group. We give here the first example of such a group.

     

Tangent Fields and the Local Structure of Random Fields

A tangent field of a random field X on ^N at a point z is defined to be the limit of a sequence of scaled enlargements of X about z. This paper develops general properties of tangent fields, emphasising their rich structure and strong invariance properties which place considerable constraints on their form. The theory is illustrated by a variety of examples, both of a smooth and fractal nature.     

Polynomial Interpolation of the Discrete Logarithm

Recently, Coppersmith and Shparlinski proved several results on the interpolation of the discrete logarithm in the finite prime field by polynomials modulo p and modulo p-1, respectively. In this paper most of these results are extended to arbitrary .