A parimutuel market microstructure for contingent claims trading is proposed and analyzed. A parimutuel microstructure is a call auction where relative equilibrium prices of contingent claims are endogenously determined using a specific mechanism. We propose a market microstructure incorporating parimutuel principles which provides for notional derivatives transactions, limit orders, and bundli...

An Mg-3Gd (wt.%) sample with gradient rolling strains (ε = 0–0.55) was prepared using a wedge-shaped plate after one-pass hot rolling, allowing high-throughput characterization of microstructure and texture over wide strain range within one hot-rolled plate. The evolutions were characterized as function for the as-hot-rolled annealing temperature subsequently annealed samples. deformed showed g...

We consider nonlinear bound states of the nonlinear Schrödinger equation i∂zφ(z, x) = −∂2 xφ− (1 + m(Nx))|φ|p−1φ, in the presence of a nonlinear periodic microstructure m(Nx). This equation models the propagation of laser beams in a medium whose nonlinear refractive index is modulated in the transverse direction, and can also arise in the study of BoseEinstein Condensation (BEC). In the nonline...

We report results on a nite element simulation of a needle-like martensitic microstructure observed in biaxial loading experiments conducted by Chu and James on single crystals of the shape-memory alloy Cu-14at.%Al-3:9at.%Ni. This microstructure was observed near an interface between twinned layers of two variants and a pure variant of martensite. We used a geometrically nonlinear theory of mar...

The present study aimed to evaluate the influence of various heat-pressing procedures (different holding time and heat pressing temperature) on the microstructure and flexural strength of lithium disilicate glass ceramic. An experimental lithium silicate glass ceramic (ELDC) was prepared from the SiO2-Li2O-K2O-Al2O3-ZrO2-P2O5 system and heat-pressed following different procedures by varying tem...

Variations in laser irradiance and local temperatures in laser sintering cause variations in porosity and material microstructure, which can affect mechanical properties of a part. From the design perspective, it is important to model microstructures, mechanical properties, and their relationships so that parts can be analyzed and designed taking into account their asmanufactured condition. In ...

Two points are made in this paper: first, energy of random structures is not determined uniquely by any finite set of the characteristics of microstructure. The information lost is characterized by entropy of microstructure; it describes the scattering of the values of energy. Therefore, entropy of microstructure is a key thermodynamic parameter in phenomenological modeling of the behavior of r...

The following problem is addressed: ‘Can one synthesize microstructure evolution over a large area given experimental movies measured over smaller regions?’ Our input is a movie of microstructure evolution over a small sample window. A Markov random field (MRF) algorithm is developed that uses this data to estimate the evolution of microstructure over a larger region. Unlike the standard micros...

We investigate the effect of microstructure on mechanical response lattice structures made a defect tolerant Ti-14 Mo binary alloy fabricated by Electron Powder Bed Fusion. Some were subjected to different heat treatments compare microstructures: two-phase α+β inherited from fabrication (as-built), full β-metastable microstructure, and strengthened via nanoprecipitation ωiso phase. demonstrate ...

The analysis of big data is changing industries, businesses and research since large amounts of data are available nowadays. In the area of microstructures, acquisition of (3D tomographic image) data is difficult and time-consuming. It is shown that large amounts of data representing the geometry of virtual, but realistic 3D microstructures can be generated using stochastic microstructure model...