For problems with strongly varying or discontinuous diiusion coeecients we present a method to compute coarse-scale operators and to approximately determine the eeective diiusion tensor on the coarse-scale level. The approach is based on techniques that are used in multigrid, such as matrix-dependent prolongations and the construction of coarse grid operators by means of the Galerkin approximat...

This article explores the use of a homogenization method inspired by the classical Irving-Kirkwood procedure in the continuous multiscale modeling of elastic solids within the context of the finite element method. This homogenization method gives rise to a broad range of allowable boundary conditions for the RVE, which, in turn, yield a rich spectrum of estimates of the macroscopic stress respo...

According to the direct homogenization theory of inhomogeneous material, a single medium homogenization constitutive model of the confined concrete in the steel box-concrete combined member has been established, and model parameters have been determined by the measured data of the bending test. By analyzing the theoretical ultimate strength and overall process curve, the results obtained is con...

For problems with strongly varying or discontinuous diiusion coeecients we present a method to compute coarse-scale operators and to approximately determine the eeective diiusion tensor on the coarse-scale level. The approach is based on techniques that are used in multigrid, such as matrix-dependent prolongations and the construction of coarse-grid operators by means of the Galerkin approximat...

The goal of this lecture is to show that homogenization is a very efficient tool in the modeling of complex phenomena in heterogeneous media. In the first lecture we considered a model problem of diffusion for which the homogenized operator was of the same type (still a diffusion equation). In this context, homogenization is really a matter of defining and computing effective diffusion tensors....

The present study was initiated to understand the effect of PLGA concentration, PVA concentration, internal-external phase ratio, homogenization speed, and homogenization time on mean particle size, zeta potential, and percentage drug encapsulation using fractional factorial design. Using PLGA (50-50) as the carrier, hyaluronidase loaded PLGA nanoparticles were prepared using double emulsion so...

Dispersion properties of electromagnetic crystals formed by small uniaxial resonant scatterers (magnetic or electric) are studied using the local field approach. The goal of the study is to determine the conditions under which the homogenization of such crystals is possible. Therefore the consideration is limited to the frequency region where the wavelength in the host medium is larger than the...

2 From its very genesis APV has maintained an impeccable reputation for excellence worldwide. That standard is perpetuated in the field of homogenization and high pressure pumps. It's a tradition that dates back to our invention of the homogenizer in the early 1900's. That desire to excel in saving our customers is demonstrated today through innovative design, precision, engineering, quality ma...

In this contribution macroscopic modeling of phase transformations and mechanical behavior low alloy steels are developed investigated. Such is importance in simulations transient thermo-mechanical processes which can cause transformations, examples from the railway industry include train braking induced frictional heating as well rail grinding welding operations. We adopt a approach includes t...

Human deep sleep is characterized by reduced sensory activity, responsiveness to stimuli, and conscious awareness. Given its ubiquity and reversible nature, it represents an attractive paradigm to study the neural changes which accompany the loss of consciousness in humans. In particular, the deepest stages of sleep can serve as an empirical test for the predictions of theoretical models relati...