4,587 research outputs found
Existence theorems in the geometrically non-linear 6-parametric theory of elastic plates
In this paper we show the existence of global minimizers for the
geometrically exact, non-linear equations of elastic plates, in the framework
of the general 6-parametric shell theory. A characteristic feature of this
model for shells is the appearance of two independent kinematic fields: the
translation vector field and the rotation tensor field (representing in total 6
independent scalar kinematic variables). For isotropic plates, we prove the
existence theorem by applying the direct methods of the calculus of variations.
Then, we generalize our existence result to the case of anisotropic plates. We
also present a detailed comparison with a previously established Cosserat plate
model.Comment: 19 pages, 1 figur
Band gaps in the relaxed linear micromorphic continuum
In this note we show that the relaxed linear micromorphic model recently
proposed by the authors can be suitably used to describe the presence of
band-gaps in metamaterials with microstructures in which strong contrasts of
the mechanical properties are present (e.g. phononic crystals and lattice
structures). This relaxed micromorphic model only has 6 constitutive parameters
instead of 18 parameters needed in Mindlin- and Eringen-type classical
micromorphic models. We show that the onset of band-gaps is related to a unique
constitutive parameter, the Cosserat couple modulus which starts to
account for band-gaps when reaching a suitable threshold value. The limited
number of parameters of our model, as well as the specific effect of some of
them on wave propagation can be seen as an important step towards indirect
measurement campaigns
Research and development program on magnetic electrical conductor, electrical insulation, and bore seal materials - Electrical conductor and electrical insulation materials topical report
Electrical, mechanical, and thermo-physical properties of conductor and insulation materials for application to advanced space electric power system
Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
We employ the Unitary Correlation Operator Method (UCOM) to construct
correlated, low-momentum matrix elements of realistic nucleon-nucleon
interactions. The dominant short-range central and tensor correlations induced
by the interaction are included explicitly by an unitary transformation. Using
correlated momentum-space matrix elements of the Argonne V18 potential, we show
that the unitary transformation eliminates the strong off-diagonal
contributions caused by the short-range repulsion and the tensor interaction,
and leaves a correlated interaction dominated by low-momentum contributions. We
use correlated harmonic oscillator matrix elements as input for no-core shell
model calculations for few-nucleon systems. Compared to the bare interaction,
the convergence properties are dramatically improved. The bulk of the binding
energy can already be obtained in very small model spaces or even with a single
Slater determinant. Residual long-range correlations, not treated explicitly by
the unitary transformation, can easily be described in model spaces of moderate
size allowing for fast convergence. By varying the range of the tensor
correlator we are able to map out the Tjon line and can in turn constrain the
optimal correlator ranges.Comment: 16 pages, 9 figures, using REVTEX
Jurisdictional Confusion That Rivals Erie: The Jurisdictional Limits of Campus Police
Jurisdictional Confusion that Rivals Erie: The Jurisdictional Limits of Campus Polic
Jurisdictional Confusion That Rivals Erie: The Jurisdictional Limits of Campus Police
Jurisdictional Confusion that Rivals Erie: The Jurisdictional Limits of Campus Polic
Soliton-like solutions based on geometrically nonlinear Cosserat micropolar elasticity
The Cosserat model generalises an elastic material taking into account the possible microstructure of the elements of the material continuum. In particular, within the Cosserat model the structured material point is rigid and can only experience microrotations, which is also known as micropolar elasticity. We present the geometrically nonlinear theory taking into account all possible interaction terms between the elastic and microelastic structures. This is achieved by considering the irreducible pieces of the deformation gradient and of the dislocation curvature tensor. In addition we also consider the so-called Cosserat coupling term. In this setting we seek soliton type solutions assuming small elastic displacements, however, we allow the material points to experience full rotations which are not assumed to be small. By choosing a particular ansatz we are able to reduce the system of equations to a sine–Gordon type equation which is known to have soliton solutions
Chirality in the plane
It is well-known that many three-dimensional chiral material models become non-chiral when reduced to two dimensions. Chiral properties of the two-dimensional model can then be restored by adding appropriate two-dimensional chiral terms. In this paper we show how to construct a three-dimensional chiral energy function which can achieve two-dimensional chirality induced already by a chiral three-dimensional model. The key ingredient to this approach is the consideration of a nonlinear chiral energy containing only rotational parts. After formulating an appropriate energy functional, we study the equations of motion and find explicit soliton solutions displaying two-dimensional chiral properties
Raman spectroscopy, a non-destructive solution to the study of glass and its alteration
This paper presents the potential of Raman spectroscopy, a non-destructive technique which can be applied in-situ, for the analyses of glass and their alteration. Recent analytical developments are summarised for different glass composition and practical examples are given. The paper describes how to extract compositional information from the glass, first based on the spectra profile to distinguish rapidly alkali silicate from alkaline-earth alkali silicate and lead alkali silicate glass, then using the spectral decomposition and correlations to extract quantitative data. For alkali silicate glasses, that are most prone to alteration, the spectral characteristics are described to interpret the alteration process (selective leaching or dissolution of the glass) from the Raman spectra of the altered glass. These developments have greatly widened the potential of the technique and supplement well its ability to measure the thickness of the altered layer and identify the crystalline deposits
Hartree-Fock and Many-Body Perturbation Theory with Correlated Realistic NN-Interactions
We employ correlated realistic nucleon-nucleon interactions for the
description of nuclear ground states throughout the nuclear chart within the
Hartree-Fock approximation. The crucial short-range central and tensor
correlations, which are induced by the realistic interaction and cannot be
described by the Hartree-Fock many-body state itself, are included explicitly
by a state-independent unitary transformation in the framework of the unitary
correlation operator method (UCOM). Using the correlated realistic interaction
V_UCOM resulting from the Argonne V18 potential, bound nuclei are obtained
already on the Hartree-Fock level. However, the binding energies are smaller
than the experimental values because long-range correlations have not been
accounted for. Their inclusion by means of many-body perturbation theory leads
to a remarkable agreement with experimental binding energies over the whole
mass range from He-4 to Pb-208, even far off the valley of stability. The
observed perturbative character of the residual long-range correlations and the
apparently small net effect of three-body forces provides promising
perspectives for a unified nuclear structure description.Comment: 14 pages, 8 figures, 3 tables, using REVTEX
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