6,371 research outputs found
Boundary value problems of elasticity theory for plane domains with one-dimensional elastic reinforcements
This article is a translation of an article published in Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No 1, pp 103-114 Jan-Feb 1991.Many authors have examined problems related to the load transmission from an elastic rod to an elastic plane. It was assumed in the majority of investigationa that the stringer is a thin rectilinear rod transmitting only longitudinal forces while the rod contact with the plane is realized along a line. different modifications of sheet contact with a rectilinear tensile stringer considered as an inner stringer of finite length or as an infinite edge stringer were analyzed in [1, 2]. Problems about the reinforcement of holes in a plate by a thin rod of constant section that possesses bending and longitudinal stiffnesses were solved in [3]. The eccentricity of the connection between the shell middle surface and the rod was taken into account in [4] in a study of shells reinforced by thin curvilinear rods. Other models of the one-dimensional element connected to an elastic medium without taking account of its bending stiffness were analyzed in [5, 6]. Solutions of a number of problems with circular reinforcing elements are obtained in [7]. An isotropic finite or infinite, linearly elastic plate reinforced along part or all of the boundary and along certain internal lines by elastic curvilinear rods possessing variable longitudinal and bending stiffnesses, variable curvature and thickness, the eccentricity of the connection to the plate and with an arbitrary transverse section shape symmetric relative to the plate middle surface are studied in this paper. Boundary conditions on the line of plate contact with the inner or edge elastic rods are obtained for the reinforcement models generalizing [1, 2] by using the theory of elastic rods in the case of a plane state of stress. Existence and uniqueness theorems are proved for appropriate boundary value problems; the singularity of the stresses at angles and tips of the rods are proved. The relationships obtained carry over completely to the plane strain problem for an elastic cylinder reinforced by homogeneous cylindrical shells along the generator. Some of the results described here are represented in [8]
Distribution of reflection eigenvalues in many-channel chaotic cavities with absorption
The reflection matrix R=S^{\dagger}S, with S being the scattering matrix,
differs from the unit one, when absorption is finite. Using the random matrix
approach, we calculate analytically the distribution function of its
eigenvalues in the limit of a large number of propagating modes in the leads
attached to a chaotic cavity. The obtained result is independent on the
presence of time-reversal symmetry in the system, being valid at finite
absorption and arbitrary openness of the system. The particular cases of
perfectly and weakly open cavities are considered in detail. An application of
our results to the problem of thermal emission from random media is briefly
discussed.Comment: 4 pages, 2 figures; (Ref.[5b] added, appropriate modification in
text
Global estimates for solutions to the linearized Monge--Amp\`ere equations
In this paper, we establish global estimates for solutions to the
linearized Monge-Amp\`ere equations under natural assumptions on the domain,
Monge-Amp\`ere measures and boundary data. Our estimates are affine invariant
analogues of the global estimates of Winter for fully nonlinear,
uniformly elliptic equations, and also linearized counterparts of Savin's
global estimates for the Monge-Amp\`ere equations.Comment: v2: presentation improve
Vector Meson Production in Ultraperipheral Heavy Ion Collisions
The ultraperipheral heavy ion collisions (UPC's) are an important alternative
to study the QCD dynamics until the next generation of
colliders become reality. Due to the coherent action of all the protons in the
nucleus, the electromagnetic field is very strong and the resulting flux of
equivalent photons is large, which allows to study two-photon as well as
photonuclear interactions at high energies. In this paper we present a brief
review of the vector meson production in UPC's at high energies using the QCD
color dipole approach to describe their photonuclear production and the
perturbative QCD Pomeron (BFKL dynamics) to describe the double meson
production in photon-photon process. Predictions for rates and integrated cross
sections are presented for energies of RHIC and LHC.Comment: 16 pages, 1 figure. Version to be published in Journal of Physics G:
Nuclear and Particle Physic
Gay, Mostly Gay, or Bisexual Leaning Gay? An Exploratory Study Distinguishing Gay Sexual Orientations Among Young Men
This exploratory study assessed physiological, behavioral, and self-report measures of sexual and romantic indicators of sexual orientation identities among young men (mean age = 21.9 years) with predominant same-sex sexual and romantic interests: those who described themselves as bisexual leaning gay (n = 11), mostly gay (n = 17), and gay (n = 47). Although they were not significantly distinguishable based on physiological (pupil dilation) responses to nude stimuli, on behavioral and self-report measures a descending linear trend toward the less preferred sex (female) was significant regarding sexual attraction, fantasy, genital contact, infatuation, romantic relationship, sex appeal, and gazing time to the porn stimuli. Results supported a continuum of sexuality with distinct subgroups only for the self-report measure of sexual attraction. The other behavioral and self-report measures followed the same trend but did not significantly differ between the bisexual leaning gay and mostly gay groups, likely the result of small sample size. Results suggest that romantic indicators are as good as sexual measures in assessing sexual orientation and that a succession of logically following groups from bisexual leaning gay, mostly gay, to gay. Whether these three groups are discrete or overlapping needs further research
Neutrally reinforced holes in symmetrically laminated plates
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76616/1/AIAA-46360-396.pd
Computation of the temperature dependence of the heat capacity of complex molecular systems using random color noise
We propose a new method for computing the temperature dependence of the heat
capacity in complex molecular systems. The proposed scheme is based on the use
of the Langevin equation with low frequency color noise. We obtain the
temperature dependence of the correlation time of random noises, which enables
to model the partial thermalization of high-frequency vibrations, which is a
pure quantum effect. By applying the method to carbon nanotubes, we show that
the consideration of the color noise in the Langevin equation allows to
reproduce the temperature evolution of the specific heat with good accuracy.Comment: 11 pages, 5 figure
Elliptic operators on manifolds with singularities and K-homology
It is well known that elliptic operators on a smooth compact manifold are
classified by K-homology. We prove that a similar classification is also valid
for manifolds with simplest singularities: isolated conical points and fibered
boundary. The main ingredients of the proof of these results are: an analog of
the Atiyah-Singer difference construction in the noncommutative case and an
analog of Poincare isomorphism in K-theory for our singular manifolds.
As applications we give a formula in topological terms for the obstruction to
Fredholm problems on manifolds with singularities and a formula for K-groups of
algebras of pseudodifferential operators.Comment: revised version; 25 pages; section with applications expande
Co/Cu/Co pseudo spin-valve system prepared by magnetron sputtering with different argon pressure
Thin Co films were fabricated by DC magnetron sputtering. The effect of argon pressure on the microstructure, surface morphology and magnetic properties of the samples was systematically studied. It was found that with the increase of argon pressure, the sharpness of the crystalline texture of the samples declines, the roughness of film surfaces and the coercivity of the films increase. Based on these results, a Co/Cu/Co pseudo spin-valve system was designed and the corresponding structures were fabricated. The difference in coercivity of magnetic layers was obtained by deposition of the Co layers at different Ar pressures. Change of the resistance of this trilayer is induced at a moderate field by the spin rotation in the soft layer with lower coercivity. © 2015 Trans Tech Publications, Switzerland
On the structure of phase transition maps for three or more coexisting phases
This paper is partly based on a lecture delivered by the author at the ERC
workshop "Geometric Partial Differential Equations" held in Pisa in September
2012. What is presented here is an expanded version of that lecture.Comment: 23 pages, 6 figure
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