Anisotropic Perfectly Matched Layers for Elastic Waves in Cartesian and Curvilinear Coordinates

We develop new numerical anisotropic perfectly matched layer (PML) boundaries for elastic waves in Cartesian, cylindrical and spherical coordinate systems. The elasticity tensor of this absorbing boundary is chosen to be anisotropic and complex so that waves from the computational domain are attenuated in the boundary layer without reflection. The new PMLs are easy to formulate for both isotropic and anisotropic solid media. They utilize fewer unknowns in a general three-dimensional problem than the existing elastic wave PMLs using the field splitting scheme. Moreover, it can be implemented directly to the finite element method (FEM), as well as the finite difference time domain (FDTD) method. The high efficiency of these PMLs is illustrated by some numerical samples in FEM.Massachusetts Institute of Technology. Earth Resources LaboratoryUnited States. National Aeronautics and Space Administration (Grant #NAG3-2147)Massachusetts Institute of Technology. Borehole Acoustics and Logging Consortiu

Cross-Market Heding during The Credit Crunch

Systematic risks cannot be eliminated by diversifying within one market. However, the systematic risk of the combined markets can be reduced significantly by hedging across the markets. It is an alternative way to hedge against the systematic risk apart from holding particular futures contracts. This research employs samples from FX and equity markets to prove the hedging possibility. Empirical results, especially of samples during the latest credit crunch period, support the assumptions satisfactorily and the hedging against the systematic risk is applicable when this sort of risk becomes outstanding. Nevertheless, this paper suggests that not any two markets have preconditions for hedging but they can be selected primarily by reviewing their economic properties and other interconnections. Moreover, evidences of solidly correlated period and existence of risk-reducing features in these periods are needed to be found

The development of high field magnets utilizing Bi-2212 wind & react insert coils

Wind & react Bi-2212 inserts have been manufactured and tested inside a wide-bore NbTi-Nb3Sn magnet providing a background field up to 20T at 4.2K. A pair of six-layer concentric coils both achieved critical currents of 350 A (JE = 200 A/mm2) in a 20T background field. A thicker 14-layer insert made from 119m of round wire had a critical quench current IQ of 287A (JE = 162 A/mm2) at the same field and contributed to a combined central field of 22.5 T. This is a record for a fully superconducting magnet at 4.2 K. The 14-layer coil, equipped with an external protective shunt, was used for an extensive series of quench measurements and endured >150 quenches without damage. Minimum quench energies were found to be in the range of 200-500mJ in background fields of 15-20T when the coil carried 70-95% of its critical quench current

Reduction of gas bubbles and improved critical current density in Bi-2212 round wire by swaging

Bi-2212 round wire is made by the powder-in-tube technique. An unavoidable property of powder-in-tube conductors is that there is about 30% void space in the as-drawn wire. We have recently shown that the gas present in the as-drawn Bi-2212 wire agglomerates into large bubbles and that they are presently the most deleterious current limiting mechanism. By densifying short 2212 wires before reaction through cold isostatic pressing (CIPping), the void space was almost removed and the gas bubble density was reduced significantly, resulting in a doubled engineering critical current density (JE) of 810 A/mm2 at 5 T, 4.2 K. Here we report on densifying Bi-2212 wire by swaging, which increased JE (4.2 K, 5 T) from 486 A/mm2 for as-drawn wire to 808 A/mm2 for swaged wire. This result further confirms that enhancing the filament packing density is of great importance for making major JE improvement in this round-wire magnet conductor.Comment: To be published in IEEE Transactions on Applied Superconductivity, 23, xxxxxx (2013