44,073 research outputs found
Effect of load introduction on graphite epoxy compression specimens
Compression testing of modern composite materials is affected by the manner in which the compressive load is introduced. Two such effects are investigated: (1) the constrained edge effect which prevents transverse expansion and is common to all compression testing in which the specimen is gripped in the fixture; and (2) nonuniform gripping which induces bending into the specimen. An analytical model capable of quantifying these foregoing effects was developed which is based upon the principle of minimum complementary energy. For pure compression, the stresses are approximated by Fourier series. For pure bending, the stresses are approximated by Legendre polynomials
A Back-reaction Induced Lower Bound on the Tensor-to-Scalar Ratio
There are large classes of inflationary models, particularly popular in the
context of string theory and brane world approaches to inflation, in which the
ratio of linearized tensor to scalar metric fluctuations is very small. In such
models, however, gravitational waves produced by scalar modes cannot be
neglected. We derive the lower bound on the tensor-to-scalar ratio by
considering the back-reaction of the scalar perturbations as a source of
gravitational waves. These results show that no cosmological model that is
compatible with a metric scalar amplitude of can have a ratio
of the tensor to scalar power spectra less than at
recombination and that higher-order terms leads to logarithmic growth for r
during radiation domination. Our lower bound also applies to non-inflationary
models which produce an almost scale-invariant spectrum of coherent
super-Hubble scale metric fluctuations.Comment: 5 pages, version 3, minor changes from version
Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of Ca
Working with Hamiltonians from chiral effective field theory, we develop a
novel framework for describing arbitrary deformed medium-mass nuclei by
combining the in-medium similarity renormalization group with the generator
coordinate method. The approach leverages the ability of the first method to
capture dynamic correlations and the second to include collective correlations
without violating symmetries. We use our scheme to compute the matrix element
that governs the neutrinoless double beta decay of Ca to Ti, and
find it to have the value , near or below the predictions of most
phenomenological methods. The result opens the door to ab initio calculations
of the matrix elements for the decay of heavier nuclei such as Ge,
Te, and Xe.Comment: 6 pages, 4 figures and 1 table. supplementary material included.
version to be publishe
Braneworlds, Conformal Fields and the Gravitons
We investigate the dynamics of Randall-Sundrum AdS5 braneworlds with
5-dimensional conformal matter fields. In the scenario with a compact fifth
dimension the class of conformal fields with weight -4 is associated with exact
5-dimensional warped geometries which are stable under radion field
perturbations and describe on the brane the dynamics of inhomogeneous dust,
generalized dark radiation and homogeneous polytropic dark energy. We analyse
the graviton mode flutuations around this class of background solutions and
determine their mass eigenvalues and wavefunctions from a Sturm-Liouville
problem. We show that the localization of gravity is not sharp enough for large
mass hierarchies to be generated. We also discuss the physical bounds imposed
by experiments in particle physics, in astrophysics and in precise measurements
of the low energy gravitational interaction.Comment: LaTeX, 9 pages, 2 figures. Based on talk given in the Second
International Conference on Quantum Theories and the Renormalization Group in
Gravity and Cosmology, CSIC and University of Barcelona, Barcelona, Spain,
11-15 July 2006. Submitted to be published in the Conference Proceedings, J.
Phys. A: Math. Ge
Precise dispersive data analysis of the f0(600) pole
We review how the use of recent precise data on kaon decays together with
forward dispersion relations (FDR) and Roy's equations allow us to determine
the sigma resonance pole position very precisely, by using only experimental
input. In addition, we present preliminary results for a modified set of
Roy-like equations with only one subtraction, that show a remarkable
improvement in the precision around the sigma region. We also improve the
matching between the parametrizations at low and intermediate energy of the S0
wave, and show that the effect of this on the sigma pole position is
negligible.Comment: 4 pages, 1 figure. To appear in the proceedings of the Meson 2008
conference, June 6-10, Cracow, Polan
Measuring storage and loss moduli using optical tweezers: broadband microrheology
We present an experimental procedure to perform broadband microrheological
measurements with optical tweezers. A generalised Langevin equation is adopted
to relate the time-dependent trajectory of a particle in an imposed flow to the
frequency-dependent moduli of the complex fluid. This procedure allows us to
measure the material linear viscoelastic properties across the widest frequency
range achievable with optical tweezers.Comment: 5 pages, 3 figure
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