A three-dimensional micromechanics-based analytical model is developed to study thermo-mechanical properties of polymer composites reinforced with randomly distributed silica nanoparticles. Two important factors in nanocomposites modeling using micromechanical models are nanoparticle arrangement in matrix and interphase effects. In order to study these cases, representative volume element (RVE)...

A new method to construct task graphs for $\mathcal{H}$-matrix arithmetic is introduced, which uses the information associated with all tasks of standard recursive algorithms, e.g., block index set matrix blocks involved in computation. Task refinement, i.e., replacement by subcomputations, then used proceed hierarchy until containing actual data are reached. This process a natural extension cl...

We introduce a new smooth, non-toxic, biocompatible method for cross-linking of gum tragacanth (GT), a polysaccharide of natural origin, in order to serve as a new supporting matrix for immobilization systems.  The modified gum is used as a matrix for the catalysis of the conversion of benzyl penicillin to 6-aminopenicillanic acid (6-APA) by means of Escherichia coli ATCC11105 with penicill...

     The purpose of this work was to develop once daily sustained release (SR) matrix tablets of naproxen, an anti-inflammatory agent. The tablets were prepared by wet granulation method along with hydrophilic matrix materials like Methocel K 15M CR and Methocel K 100M CR. The granules were evaluated for bulk density, angle of repose, compressibility index, total porosity and drug content. The ...

this paper presents h∞ control problem for input-delayed systems. a neutral system approach is considered to the design of pd controller for input delay systems in presence of uncertain time-invariant delay. using this approach, the resulting closed-loop system turns into a specific time-delay system of neutral type. the significant specification of this neutral system is that its delayed coeff...

Abstract: In this study Al-5 (Vol) % SiCp nanocomposite powder has been successfully synthesized by high-energy planetary milling of Al and SiC powders for a period of 25 h at a ball-to-powder ratio of 15:1. The changes of the lattice strain, the crystallite size of the matrix phase, and the nanocomposite powder microstructure with time have been investigated by X-ray diffraction (XRD), X-ray m...

Let G be a finite group and C(G) be the family of representative conjugacy classes of subgroups of G. The matrix whose H;K-entry is the number of fixed points of the set G=K under the action of H is called the table of marks of G where H;K run through all elements in C(G). In this paper, we compute the table of marks and the markaracter table of groups of order pqr where p, q, r are prime numbers.

and Applied Analysis 3 whereW andZ are the solutions of (15) and (16), respectively, and I is the n × n identity matrix. Therefore, Φ(t, t 0 , x 0 ) = W(t, t 0 ) ⊗ Z T (t, t 0 ) . (22) (ii) Employing Lemma 2 and substituting forΦ the righthand side of (22), we get y (t, t 0 , x 0 ) = x (t, t 0 , x 0 )

Hierarchical matrices (H-matrices) approximate matrices in a data-sparse way, and the approximate arithmetic for H-matrices is almost optimal. In this paper we present an algebraic approach to constructing H-matrices which combines multilevel clustering methods with the H-matrix arithmetic to compute the H-inverse, H-LU, and the H-Cholesky factors of a matrix. Then the H-inverse, H-LU or H-Chol...