4,180 research outputs found
Band Gap Formation and Tunability in Stretchable Serpentine Interconnects
Serpentine interconnects are highly stretchable and frequently used in
flexible electronic systems. In this work, we show that the undulating geometry
of the serpentine interconnects will generate phononic band gaps to manipulate
elastic wave propagation. The interesting effect of `bands-sticking-together'
is observed. We further illustrate that the band structures of the serpentine
interconnects can be tuned by applying pre-stretch deformation. The discovery
offers a way to design stretchable and tunable phononic crystals by using
metallic interconnects instead of the conventional design with soft rubbers and
unfavorable damping.Comment: 12 pages, 8 figure
Hyperelastic antiplane ground cloaking
Hyperelastic materials possess the appealing property that they may be
employed as elastic wave manipulation devices and cloaks by imposing
pre-deformation. They provide an alternative to microstructured metamaterials
and can be used in a reconfigurable manner. Previous studies indicate that
exact elastodynamic invariance to pre-deformation holds only for neo-Hookean
solids in the antiplane wave scenario and the semi-linear material in the
in-plane compressional/shear wave context. Furthermore, although ground cloaks
have been considered in the acoustic context they have not yet been discussed
for elastodynamics, either by employing microstructured cloaks or hyperelastic
cloaks. This work therefore aims at exploring the possibility of employing a
range of hyperelastic materials for use as antiplane ground cloaks (AGCs). The
use of the popular incompressible Arruda-Boyce and Mooney-Rivlin nonlinear
materials is explored. The scattering problem associated with the AGC is
simulated via finite element analysis where the cloaked region is formed by an
indentation of the surface. Results demonstrate that the neo-Hookean medium can
be used to generate a perfect hyperelastic AGC as should be expected.
Furthermore, although the AGC performance of the Mooney-Rivlin material is not
particularly satisfactory, it is shown that the Arruda-Boyce medium is an
excellent candidate material for this purpose
Nonlinear pre-stress for cloaking from antiplane elastic waves
A theory is presented showing that cloaking of objects from antiplane elastic
waves can be achieved by elastic pre-stress of a neo-Hookean nonlinear elastic
material. This approach would appear to eliminate the requirement of
metamaterials with inhomogeneous anisotropic shear moduli and density. Waves in
the pre-stressed medium are bent around the cloaked region by inducing
inhomogeneous stress fields via pre-stress. The equation governing antiplane
waves in the pre-stressed medium is equivalent to the antiplane equation in an
unstressed medium with inhomogeneous and anisotropic shear modulus and
isotropic scalar mass density. Note however that these properties are induced
naturally by the pre-stress. Since the magnitude of pre-stress can be altered
at will, this enables objects of varying size and shape to be cloaked by
placing them inside the fluid-filled deformed cavity region.Comment: 21 pages, 4 figure
The Hill and Eshelby tensors for ellipsoidal inhomogeneities in the Newtonian potential problem and linear elastostatics
In 1957 Eshelby showed that a homogeneous isotropic ellipsoidal inhomogeneity
embedded in a homogeneous isotropic host would feel uniform strains and
stresses when uniform strains or stresses are applied in the far-field. Of
specific importance is the uniformity of Eshelby's tensor S. Following this
paper a vast literature has been generated using and developing Eshelby's
result and ideas, leading to some beautiful mathematics and extremely useful
results in a wide range of application areas. In 1961 Eshelby conjectured that
for anisotropic materials only ellipsoidal inhomogeneities would lead to such
uniform interior fields. Although much progress has been made since then, the
quest to prove this conjecture is still not complete; numerous important
problems remain open. Following a different approach to that considered by
Eshelby, a closely related tensor P=S D^0 arises, where D^0 is the host medium
compliance tensor. The tensor P is associated with Hill and is of course also
uniform when ellipsoidal inhomogeneities are embedded in a homogeneous host
phase. Two of the most fundamental and useful areas of applications of these
tensors are in Newtonian potential problems such as heat conduction,
electrostatics, etc. and in the vector problems of elastostatics.
Micromechanical methods established mainly over the last half-century have
enabled bounds on and predictions of the effective properties of composite
media. In many cases such predictions can be explicitly written down in terms
of the Hill, or equivalently the Eshelby tensor and can be shown to provide
excellent predictions in many cases. Here this classical problem is revisited
and a large number of results for problems that are felt to be of great utility
in a wide range of disciplines are derived or recalled
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Endolithic colonization of fluid inclusion trails in mineral grains
Many scenarios for the colonization of planetary surfaces by microbial life involve endoliths. This study records microbial mass along fluid inclusion trails (healed microfractures) in quartz grains
Compression properties of polymeric syntactic foam composites under cyclic loading
Syntactic foams are composite materials frequently used in applications
requiring the properties of low density and high damage tolerance. In the
present work, polymer-based syntactic foams were studied under cyclic
compression in order to investigate their compressibility, recoverability,
energy dissipation and damage tolerance. These syntactic foams were
manufactured by adding hollow polymer microspheres of various sizes and wall
thicknesses into a polyurethane matrix. The associated loading and unloading
curves during cyclic testing were recorded, revealing the viscoelastic nature
of the materials. SEM images of the samples were obtained in order to study
potential damage mechanisms during compression. It was observed that these
syntactic foams exhibit high elastic recovery and energy dissipation over a
wide range of compressional strains and the addition of polymer microspheres
mitigate the damage under compressional loading.Comment: 25 pages, 13 figure
Enhancement of Xe-129 polarization by off-resonant spin exchange optical pumping
A high power narrow line width (38 W, 0.09 nm full width at half maximum) external cavity diode laser is investigated for rubidium spin exchange optical pumping of Xe-129. This tunable photon source has a constant line width, independent of operating power or wavelength within a 1 nm tuning range. When using this laser, an increase in the Xe-129 nuclear polarization is observed when optically pumping at a lower wavelength than the measured Rb electron D-1 absorption. The exact detuning from D1 for the highest polarization is dependent upon the gas density. Furthermore, at high power and/or high Rb density, a reduction in the polarization occurs at the optimum wavelength as previously reported in spin exchange optical pumping studies of He-3 which is consistent with high absorption close to the cell front face. These results are encouraging for moderate high throughput polarization of Xe-129 in the midpressure range of (0.5-2.0 amagat). (C) 2010 American Institute of Physics. [doi: 10.1063/1.3478707
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