Lovazs’ proof of the Kneser Conjecture presents a beautiful application of Borsuk-Ulam Theorem, a purely topological result, to a combinatorial problem on finite graphs. Moreover, Kneser-Lovasz Theorem is far from being the only case in which a combinatorial problem admits as a solution that uses topological techniques. It is rather surprising that the study of continuous maps would yield elega...

This study is limited to study of buckling analysis of a sandwich cylindrical shell with functionally graded face sheets and homogenous core. High-order sandwich plate theory is improved by considering the in-plane stresses of the core that usually are ignored in the analysis of sandwich structures. Assume that all properties of the face sheets and the core are temperature dependent. Strain com...

The results from this paper are related to the geometric function theory. In order obtain them, we use technique based on differential subordination, one of newest techniques used in field, also known as admissible functions. For that, appropriate classes functions first defined. Based these classes, some subordination and superordination for multivalent meromorphic functions, analytic puncture...

This paper deals with stability of solution for a one-dimensional model Rao?Nakra sandwich beam Kelvin?Voigt damping and time delay given by ??1?1?????? ? ??(??? + ?? ??????) ?????????? ??????????( , ??) = 0, ??3?3?????? ????????? ?????????????? ????(??? ??????)?? 0. A is an engineering that consists three layers: two stiff outer layers, bottom top faces, more compliant inner layer called ?core...

conclusions the current study revealed that a significant percentage of sandwich generation females have chronic diseases. results a statistically significant difference was found between the two groups in terms of the presence of chronic diseases (p = 0.001). there was a significant correlation between chronic diseases and number of children (p = 0.03), person receiving care (p = 0.004), educa...

to demonstrate more visibly the close relation between thecontinuity and integrability, a new proof for the banach-zareckitheorem is presented on the basis of the radon-nikodym theoremwhich emphasizes on measure-type properties of the lebesgueintegral. the banach-zarecki theorem says that a real-valuedfunction $f$ is absolutely continuous on a finite closed intervalif and only if it is continuo...

Herein paper compares the analytical model with the FEM based numerical model of the axisymmetric bending of circular sandwich plates. Also, the paper describes equations of the circular symmetrical sandwich plates bending with isotropic face sheets and the nonlinear elastic core material. The method of constructing an analytical solution of nonlinear differential equations has been described. ...

The sandwich culture of hepatocytes, between double layers of extra-cellular matrix (ECM), is a well-established in vitro model for re-establishing hepatic polarity and maintaining differentiated functions. Applications of the ECM-based sandwich culture are limited by the mass transfer barriers induced by the top gelled ECM layer, complex molecular composition of ECM with batch-to-batch variati...

Abstract The thermal analysis is performed on a heated Inconel 617 honeycomb-core sandwich panel. Sandwich panel is supported at its four edges with spar-like sub-structures that acted as heat sinks, which are generally not considered in the classical analysis. One side of the panel is subjected to a heat flux on the surface. Two types of surface heating were considered: (1) hexagonal honeycomb...

abstract: the present study deals with the buckling analysis of the laminated composite truncated conical sandwich shells with flexible core subjected to combined axial compressive load and external pressure. higher order governing equations of the motion are presented for conical composite sandwich shells, where they are derived from the hamilton principle. then, by the use of improved higher-...