Finite element analysis of footings on layered soils

The paper presents the results of theoretical and experimental investigations on footings on homogeneous and layered soils. Experimentally, laboratory tests were conducted on a model strip footing on homogeneous and two layers of sand and theoretically a finite element model using a non-linear stress- strain relationship was developed to simulate the testing conditions. The theoretical results compared well with the experimental data. The theoretical model was then used to generate data for the purpose of comparison with existing design theories.     

Estudio paramétrico de pilas para viaductos de carretera

The present paper deals with the economic optimization of a series of 15 bridge piers with rectangular hollow sections. It combines height columns of 20, 30, 40, 50 and 60 m and viaducts of 40, 50 and 60 m of main intermediate spans. The optimization uses a variant of the ant colony method. Results show the variation in geometry, concrete quality, reinforcement and cost, both in the footings and in the main column, as the columns gain height and the viaducts grow in span length.     

无拉力Winkler地基上自由边矩形Reissner板的弯曲

本文提出了一种求解无拉力Winkler地基上自由边矩形Reissner板受任意载荷的弯曲问题的解析方法.通过适当设定满足可导条件的Fourier级数加补充项形式的挠度函数和剪力函数,把给定边界条件下的微分方程化成最简形式的无穷代数方程组.对于常规的Winkler地基,可直接求解;而对于无拉力Winkler地基,方程组为一组弱非线性代数方程组.使用迭代法容易得到解.     

Group differences in broadness of values may drive dynamics of public opinion on moral issues

Here we propose the idea that the success of an argument in favor of an issue position should depend on whether the argument resonates with the audience’s values. Now consider two groups, one of which has a broader set of values than the other. We develop a mathematical model to investigate how this difference in broadness of values may drive a change on the population level towards positions in line with the more narrow set of values. The model is motivated by the empirical finding that conservative morality rests equally on moral foundations that are individualizing (harm and fairness) and binding (purity, authority, and ingroup), whereas liberal morality relies mainly on the individualizing moral foundations. The model then predicts that, under certain conditions, the whole population will tend to move towards positions on moral issues (e.g., same-sex marriage) that are supported by individualizing moral foundations.     

Joins and secant varieties of subvarieties of a Grassmannian

Here we give the geometric foundations of the theory of joins and higher secant varieties.     

About inclusion of Maxwell’s equations in systems relativistic of the invariant equations

Maxwell’s equations, relativistic invariant equations, foundations of difference schemes.     

Measurement and probability in quantum mechanics

Measurement-theoretical foundations of quantum probabilities are investigated in the form of measurement statistics and a statistical ensemble interpretation of quantum mechanics.     

Torsten Brodén's work on the foundations of Euclidean geometry

The Swedish mathematician Torsten Brodén (1857–1931) wrote two articles on the foundations of Euclidean geometry. The first was published in 1890, almost a decade before Hilbert's first attempt, and the second was published in 1912. Brodén's philosophical view of the nature of geometry is discussed and his thoughts on axiomatic systems are described. His axiomatic system for Euclidean geometry from 1890 is considered in detail and compared with his later work on the foundations of geometry. The two continuity axioms given are compared to and proved to imply Hilbert's two continuity axioms of 1903.     

Development of a higher order finite element on a Winkler foundation

Analyzing thick plates as a construction component has been of interest to structural engineering research for several decades. In particular, thick plates resting on elastic foundations are more specific. Mindlin's plate theory for thick plate analysis and the Winkler theory for elastic foundation analyses have wide applications. The current research considers analysis of isotropic plates on a Winkler foundation according to Mindlin's plate theory. The analysis uses a higher order plate element to avoid shear locking phenomena in the plate. The main features of this element are representation of real displacement functions of the plate perfect and shear locking do not occur at the plates modeled with this element. Derivation of the equations for finite element formulation for thick plate theory uses fourth-order displacement shape functions. A computer program using the finite element method, coded in C++, analyzes the plates resting on an elastic foundation. The analysis involves a 17-noded finite element. The study's graphs and tables assist engineers' designs of thick plates resting on elastic foundations. The study concludes with the computer-coded program, which allows effective use for the shear locking-free analysis of thick Mindlin plates resting on elastic foundations.     

Convergence and Duality

We describe dualities related to the foundations of probability theory in which sequential convergence and sequential continuity play an important role.     

Homological Mirror Symmetry for manifolds of general type

In this paper we outline the foundations of Homological Mirror Symmetry for manifolds of general type. Both Physics and Categorical prospectives are considered.     

Microscopic derivations of Vlasov equations

This is a report on the current state of affairs in the rigorous microscopic foundations of the Vlasov regime of kinetic theory.     

Peirce e dedekind: La definizione di insieme finito

Starting from Peirce's repeated claims of priority with respect to Dedekind's definition of finite set [R. Dedekin, Was sind und was sollen die Zahlen? (Braunschweig: Vieweg, 1888), Definizione 64], this paper traces the history of Peirce's definition and its role in his research on the foundations of arithmetic. This brings to light some remarkable and neglected achievements of Peirce in this field. It also shows that his priority claims are unjustified, although understandable in terms of his desire for acknowledgment of his pioneering work on the foundations of arithmetic.     

Nonlinear Buckling and Postbuckling of a FGM Toroidal Shell Segment Under a Torsional Load in a Thermal Environment Within Reddy’s Third-Order Shear Deformation Shell Theory

Mechanics of Composite Materials - The nonlinear buckling and postbuckling of FGM toroidal shell segments surrounded by elastic foundations in a thermal environment and subjected to a torsional...     

Reduction of Vector Boundary Value Problems on Riemann Surfaces to One-Dimensional Problems

Siberian Mathematical Journal - This article lays foundations for the theory of vector conjugation boundary value problems on a compact Riemann surface of arbitrary positive genus. The main...     

Hamel’s paradox and the foundations of analytical dynamics

This paper deals with an explanation of a paradox posed by Hamel in his 1949 book on Theoretical Mechanics. The explanation deals with the foundations of mechanics and points to new insights into analytical dynamics.     

Positive solutions for a beam equation on a nonlinear elastic foundation

Positive solutions for a fourth-order differential equation with nonlinear boundary conditions modeling beams on elastic foundations are considered. The results are shown by using variational methods and a maximum principle for fourth-order equations.     

Inverse Problem for a Monoid with an Exponential Sequence of Primes

Doklady Mathematics - In this paper, for an arbitrary monoid of natural numbers, the foundations of the Dirichlet series algebra are constructed over either a number field or the ring of integers...     

Axioms for infinite matroids

We give axiomatic foundations for infinite matroids with duality, in terms of independent sets, bases, circuits, closure and rank. Continuing work of Higgs and Oxley, this completes the solution to a problem of Rado of 1966.     

Multigroups and the foundations of geometry

The aim of this paper is to show that the foundations of geometry and the theory of moultigroups are strictly related. Dedicated to Helmut Salzmann on his 60^th birthady.