Load-absorption by a discontinuous filament in a fiber-reinforced composite

Zusammenfassung Diese Arbeit befasst sich analytisch mit der statischen Kraftübertragung auf eine einzelne unendliche, elastische Faser, die an einem Querschnitt unterbroche ist. Die Faser ist vollständig in einem unendlich ausgedehnten Körper von anderen elastischen Eigenschaften eingebettet. Der Körper selbst ist im Unendlichen einer einachsigen Zugspannung parallel zur Faser ausgesetzt. Die Charakterisierung der gesuchten Faserkraft wird durch eine schon früher erprobte Annäherungsmethode auf eine Fredholmsche Integralgleichung zweiter Art zurückgeführt und die letztere wird auf numerischem Wege gelöst. Die Verteilung der Faserkraft ist für verschiedene Werte des Verhältnisses der beiden Elastizitätsmodulen dargestellt.

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The results communicated in this paper were obtained in the course of an investigation conducted under Contract N00014-67-A-0094-0020 with the Office of Naval Research in Washington, D.C.     

An integral bound for the strain energy in nonlinear elasticity in terms of the boundary displacements

For the displacement boundary value problem in nonlinear elastostatics with zero body force, an integral bound for the strain energy is obtained in terms of theL ₂-norms of the given boundary displacements and their tangential derivatives (assumed sufficiently small). The constants involved depend upon the strain energy density function and upon the geometry of the domain.     

Selective activation of organic molecules by elemental fluorine

Reactions on tertiary hydrogen atoms, attached to unactivated saturated carbons, are very rare and usually inefficient. The electron density however, of a carbon-tertiary hydrogen bond is relatively high and therefore there is a chance it will react with a strong electrophile. One of the strongest electrophiles existing is, of course, the electrophilic fluorine. Two main sources for such an unusual species exist. One source is the various fluoroxy compounds like CF₃OF or CF₃COOF ant the other is the elemental fluorine itself.Indeed, when fluorine is allowed to react, at low temperatures, with various alkylcyclohexanol esters, a highly regio- and an absolutely stereospecific electrophilic substitution on the tertiary unactivated hydrogen takes place as for example:

The radical pathway possibility of these reactions is excluded and it is believed that they are of ionic nature. By dehydrofluorination, a double bond is introduced in sites that no other reagent is known to do, thus activating the molecule towards further chemical transformations. The influence of the electron-withdrawing group on the reaction center will also be discussed.The described reaction is not restricted only to cyclic compounds as aliphatic chains also react as expected, i.e.

The scope of these unusual reactions in both alicyclic and aliphatic fields will be evaluated.     

Comment on the magnetic interaction in nuclei

The contributions of the relativistic electromagnetic corrections to the Coulomb energy shifts are examined carefully in this note. In previous calculations, some of the terms were neglected or their contributions were not evaluated properly. In this note, we consider the appropriate expressions of the electromagnetic interactions and discuss their contributions to Coulomb energy shifts.     

Dynamic of the Fluorescence of the Complex Zn++/Bis-N-Carbazolyl-Distyrylbenzene

The discrimination between similar concentrations of the different metal ions is one of the important roles of fluorescent sensors. Here we present the study of the fluorescence dynamic of the chromophore bis-N-carbazolyl-distyrylbenzene (BCDSB) in acetonitrile/water (mmol/L), doped with metal ions such as K+; Ca++; Mg++; Zn++(10 micromol/L). BCDSB has the fluorescence with lambda(max) at 448 nm by excitation at lambda(exc) = 378 nm, lifetime 1.089 ns: quantum yield of the fluorescence is 0.68. With continuation of irradiation fluorescence quenching has been registered for all investigated metal ions. However, in the presence of Zn++ oscillation of the intensity was observed. The energy activation of the oscillation as much as 15 kcal/mol was estimated. We believe, that the specificity of the complex Zn++/BCDSB, is in an asymmetrical structure, formed via binding sites of Zn++ with the electron-enriched binding sites of the BCDSB, excited in n(pi)* state. This asymmetrical complex structure can cause the photoinduced structural fluctuation in the complex coordination.     

Efficient immunization strategies for computer networks and populations

We present an effective immunization strategy for computer networks and populations with broad and, in particular, scale-free degree distributions. The proposed strategy, acquaintance immunization, calls for the immunization of random acquaintances of random nodes (individuals). The strategy requires no knowledge of the node degrees or any other global knowledge, as do targeted immunization strategies. We study analytically the critical threshold for complete immunization. We also study the strategy with respect to the susceptible-infected-removed epidemiological model. We show that the immunization threshold is dramatically reduced with the suggested strategy, for all studied cases.