In this work, I construct an extended model of the Heckscher-Ohlin model, in which there is an assignment problem of how to assign workers to two types of endowments, skilled and unskilled labor. In the comparative statics for a small open economy, when product prices change, the outputs change more than in the HeckscherOhlin model. In the comparative statics for a whole economy, when consumer ...

We present a Solow-type growth model without constant returns. The population is heterogeneous with respect to capital per head, rate of saving, depreciation, and growth. We employ a continuous version of the Shapley value to divide total output among the di¤erent groups. In contrast to the standard Solow model, or its endogenous growth manifestation (labelled AK-type growth models), there may ...

In this paper, Bi2O3-doped (K0.5Na0.5)NbO3 (x = 0.1, 0.2, 0.3, 0.4) lead-free ceramics are prepared by a conventional solid-state reaction and analyzed studying the structure, ferroelectric, piezoelectric properties. It is found that doping of Bi2O3 increases proportion trigonal phase in KNN ceramics, thus enabling construction with an orthogonal–trigonal boundary at room temperature. At same t...

In this paper, we develop nonlinear constitutive equations and resulting system models quantifying the nonlinear and hysteretic field-displacement relations inherent to lead zirconate titanate (PZT) devices employed in atomic force microscope stage mechanisms. We focus specifically on PZT rods utilizing d33 motion and PZT shells driven in d31 regimes, but the modeling framework is sufficiently ...

The effect of heteroepitaxy-induced constraint on the structure and piezoelectric properties of the relaxor ferroelectric lead magnesium niobate–lead titanate ~PMN–PT! were investigated. Relaxor PMN–PT epitaxial thin films with oxide electrodes were grown by pulsed-laser deposition on ~100! LaAlO3 substrates. We observe a systematic decrease in the phase transition temperature ~temperature at w...

Thick polycrystalline pure PbTiO3 films with nano size grains were synthesized for the first time by aerosol deposition. Annealed 7 μm thick films exhibit well-saturated ferroelectric hysteresis loops with a remanent polarization and coercive field of 35 μC/cm(2) and 94 kV/cm, respectively. A large-signal effective d33,eff value of >60 pm/V is achieved at room temperature. The measured ferroele...

Lead-free piezoelectric compositions of the (1-x)Bi0.5(Na0.40K0.10)TiO3-x(Ba0.7Sr0.3)TiO3 system (when x = 0, 0.05, 0.10, 0.15, and 0.20) were fabricated using a solid-state mixed oxide method and sintered between 1,050°C and 1,175°C for 2 h. The effect of (Ba0.7Sr0.3)TiO3 [BST] content on phase, microstructure, and electrical properties was investigated. The optimum sintering temperature was 1...

A rapid surge in the research on piezoelectric sensors is occurring with the arrival of the Internet of Things. Single-phase oxide piezoelectric materials with giant piezoelectric voltage coefficient (g, induced voltage under applied stress) and high Curie temperature (Tc) are crucial towards providing desired performance for sensing, especially under harsh environmental conditions. Here, we re...

Mn modified rhombohedral Pb(In0.5Nb0.5)O3-Pb(Mg1/3Nb2/3)O3-PbTiO3 (PIN-PMN-PT:Mn) single crystals poled along [011]C crystallographic direction exhibit a "2R" engineered domain configuration, with macroscopic mm2 symmetry. The complete sets of material constants were determined using combined resonance and ultrasonic methods, and compared to [001]C poled PIN-PMN-PT:Mn crystals. The thickness sh...