A Comparative Study on the Failure Criteria for Predicting the Damage Initiation in Fiber-Reinforced Composites

Mechanics of Composite Materials - In this research, the maximum stress, Hashin, Puck, LaRC03, and Northwestern University (NU) criteria are analyzed based literature data, analytical results...     

Sections and projections of nested convex bodies

Aequationes mathematicae - One of the most important problems in Geometric Tomography is to establish properties of a given convex body if we know some properties over its sections or its...     

Oxidation von Aceton-2-(p-chlorphenyl)-carbamidinohydrazon-derivaten

Zusammenfassung Die oxidative Umlagerung zweier Aceton-2-(p-chlorphenyl)-carbamidinohydrazon-derivate wird untersucht und erweist sich als analog zu jener von Keto-2-aryl-semicarbazonen.

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Oxidation of derivatives of acetone-2-(p-chlorophenyl)-carbamidino-hydrazone

The oxidative rearrangement of two derivatives of acetone-2-(p-chlorophenyl)-carbamidinohydrazone has been found to proceed analogously to that of keto-2-aryl-semicarbazones.

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Meinem verehrten Lehrer, Herrn Prof. Dr.H. Bretschneider, zum 65. Geburtstag gewidmet.     

A method of general applicability for the micro determination of chlorine,bromine and iodine

Summary A method is described for the combustion of halogen containing organic compounds in milligram quantities in a closed system. It has been found to have greater applicability than existing techniques. After combustion the halogen is determined by an amperometric titration, which permits the determination of Cl^–, Br^– and I^– either singly or in admixture. The accuracy is probably better than existing micro methods for single halides and comparable with these methods for mixed halides.

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Zusammenfassung Eine Methode zur Verbrennung von Milligrammengen halogenhaltiger organischer Verbindungen im geschlossenen System wurde beschrieben. Sie hat einen größeren Anwendungsbereich als bisher bekannte Verfahren. Nach der Verbrennung wird das Halogen durch eine amperometrische Titration bestimmt, womit Chlorid, Bromid und Jodid sowohl einzeln wie in Gemischen bestimmt werden können. Die Genauigkeit seheint besser zu sein als bei bekannten Mikromethoden für die Bestimmung einzelner Halogene und etwa gleich gut wie bei Methoden zur Analyse von Halogengemischen.

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Résumé On décrit une méthode de combustion en vase clos, des composés organiques contenant des halogènes en quantités de l'ordre du milligramme. Cette méthode a été trouvée comme ayant un domaine d'applications plus grand que celui des techniques existant déjà. Après combustion, l'halogène est dosé par titrage ampérométrique, ce qui permet le dosage de Cl^–, Br^– et I^– isolés ou en mélange. La précision est probablement meilleure que celle des microméthodes existant pour les halogénures isolés et comparable à celle de ces méthodes pour les mélanges d'halogénures.

     

Die Phosphatbestimmung mit elektrischer Endpunktanzeige und ihre Anwendung zur Analyse organischer Substanzen. II

Zusammenfassung Nach Untersuchungen über die Einflüsse der Temperatur, organischer Lösungsmittel, und des Carbonatgehalts der Lösung wurde eine neue Vorschrift ausgearbeitet zur Phosphattitration mit Lanthanmaßlösung mit einer Endpunktanzeige mittels eines p_H-Meters. Mit einer Standardabweichung von weniger als 1% lassen sich 0,3 bis 1,5 mg P bestimmen. Die Standardabweichung bei der Phosphorbestimmung in organischen Substanzen beträgt 0,11% absolut.

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Summary Investigations of the influences of temperature, organic solvents, and the carbonate content of the solution led to the development of a new procedure for titrating phosphate with a lanthanum salt solution; the endpoint is indicated by a p_H meter. It is possible to determine 0.3 to 1.5 mg P with a standard deviation of less than 1%. The standard deviation in the determination of phosphorus in organic substances is 0.11% absolute.

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Résumé On a mis au point un nouveau mode opératoire d'après des études sur l'influence de la température, du solvant organique et de la teneur en carbonate de la solution pour titrer les phosphates par une solution étalon de lanthane avec indication du point d'équivalence sur un ph-mètre. On peut doser 0,3 à 1,5 mg de P avec un écart-type de moins de 1%. L'écart-type dans le cas du dosage du phosphore dans les substances organiques s'élève à 0,11% en valeur absolue.

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Wir danken herzlichst HerrnH. de Wit und HerrnW. Hulshof für wertvolle Mithilfe und Ausführung zahlreicher Analysen.     

Linear and nonlinear substructured Restricted Additive Schwarz iterations and preconditioning

Iterative substructuring Domain Decomposition (DD) methods have been extensively studied, and they are usually associated with nonoverlapping decompositions. It is less known that classical overlapping DD methods can also be formulated in substructured form, i.e., as iterative methods acting on variables defined exclusively on the interfaces of the overlapping domain decomposition. We call such formulations substructured domain decomposition methods. We introduce here a substructured version of Restricted Additive Schwarz (RAS) which we call SRAS. We show that RAS and SRAS are equivalent when used as iterative solvers, as they produce the same iterates, while they are substantially different when used as preconditioners for GMRES. We link the volume and substructured Krylov spaces and show that the iterates are different by deriving the least squares problems solved at each GMRES iteration. When used as iterative solvers, SRAS presents computational advantages over RAS, as it avoids computations with matrices and vectors at the volume level. When used as preconditioners, SRAS has the further advantage of allowing GMRES to store smaller vectors and perform orthogonalization in a lower dimensional space. We then consider nonlinear problems, and we introduce SRASPEN (Substructured Restricted Additive Schwarz Preconditioned Exact Newton), where SRAS is used as a preconditioner for Newton’s method. In contrast to the linear case, we prove that Newton’s method applied to the preconditioned volume and substructured formulation produces the same iterates in the nonlinear case. Next, we introduce two-level versions of nonlinear SRAS and SRASPEN. Finally, we validate our theoretical results with numerical experiments.

     

A system for defining reference materials applicable to all food matrices

Recently the subcommittee on Food Definition of the AOAC INTERNATIONAL Task Force on Methods for Nutrition Labeling proposed a Food Matrix Organizational System [4] to systematically judge the applicability of collaboratively studied methods over a range of food matrices. This system describes a food matrix by its location in one of nine sectors in a triangle, with each point of the triangle defined as representing 100% and the opposite side representing 0% of the normalized contents of each of three major components of FAT, PROTEIN and CARBOHYDRATE. Foods falling within the same sector would be chemically similar and thus should behave in a similar analytical manner. This same scheme can be used to select one or two food matrices representing each sector, for development of a series of reference materials representing all foods. The list of 5250 foods contained in the USDA Nutrient Data Base for Standard Reference has been sorted and matched to this schematic to determine the scope of the selection process. In addition the list of foods in the USDA Data Base for Food Consumption Surveys has been examined. Results and progress of this selection process are reported.     

AFM and XRD investigation of crystalline vapor-deposited C60 films

The morphological and structural properties of C₆₀ films deposited on quartz substrates by sublimation at 320–500° C under high vacuum have been investigated using atomic force microscopy (AFM) and reflection X-ray diffraction (RXRD). The thickness of the films varied between 0.2 m and 10 m. AFM showed that the films consist predominantly of cubic crystals of a few micrometer in size with well-developed (111) and (100) faces. The crystallographic investigation revealed a strongly preferred [111] growth direction which is very sensitive to the deposition rate and substrate temperature. The influence of the experimental parameters on the morphology of the crystals and on the preferred orientation of the films is discussed in view of the AFM and RXRD results.     

X-ray diffraction study of the fatigue behavior of a shot-peened aluminum-lithium alloy

The effect of different shot-peening treatments on the cyclic fluctuating bending fatigue behavior of a new aluminum-lithium alloy (the 2091) has been investigated. The residual-stresses in-depth profiles have been defined just after the shot peening using mainly the X-ray diffraction method. To reach a given depth inside the material, the surface layer was removed by electro-polishing. The acquired data had to be then corrected in order to account for the redistribution of the stresses during the polishing. Furthermore, this alloy contains up to 15-percent intermetallic precipitates. Moreover, the X-rays penetrate deeply inside the material (23 m). For these reasons, a special procedure, based on a self-consistent micromechanical scheme, has been developed to correct the acquired data. The stress profiles obtained by this procedure are compared to those obtained by other mechanical experimental methods and those calculated by a theoretical shot-peening method. Shot peening improves the life of the material but the surface residual stresses are partially released during the first cycles of fatigue and are then quickly stabilized.Paper was presented at the 1994 SEM International Conference on Residual Stresses (ICRS4) held in Baltimore, MD on June 8–10.     

Structural optimization with parameter-transfer finite element

A mathematical method to solve structural problems, using parameter-transfer finite elements (P-TFE) was recently proposed by the authors [1] [2] [3]. The proposed transfer finite element approach is able to create a mathematical model of a structure, taking into account directly the whole behaviour of the structure under dynamic, aerodynamic, and thermal actions, and not by assembling, in a separate fashion, the stiffness and the mass matrix on one side and the external load vector as performed by the classical finite element procedure.The purpose of this paper is to apply the above methodology to optimization problems, in particular to obtain the minimum structural weight for a beam, under primary constraints on buckling load or natural frequencies.The use of P-TFE in the field of structural optimization overcomes most difficulties of the usual techniques of solution and the element is particularly useful in the evaluation of the sensitivity matrix.The formulation of the optimization problem based on P-TFE is presented and some applications are studied. The numerical results obtained are compared with other existing methodologies and briefly discussed.

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Sommario Gli autori hanno già proposto un metodo per studiare problemi strutturali [1] [2] [3], introducendo una nuova metodologia di discretizzazione, basata sull'impiego di elementi finiti di trasferimento, funzioni esplicite di un parametro, indicati come P-TFE. Tali elementi sono in grado di rappresentare, in similitudine alla funzione di trasferimento, il comportamento completo dell'elemento strutturale in esame, soggetto ad azioni dinamiche, aerodinamiche e termiche; sono parimenti in grado di produrre, in similitudine al metodo degli elementi finiti, un modello matematico discreto di un continuo.Scopo del presente lavoro è di applicare detta metodologia a problemi di ottimizzazione, in particolare alla ricerca del minimo peso per una trave che mantenga inalterate le sue caratteristiche di carico critico o le frequenze naturali di vibrazione.Vengono quindi presentati alcuni risultati numerici dei casi esaminati e confrontati con quelli ottenuti da altri autori con l'impiego di altre metodologie.

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List of Symbols {B} _m vector of the generalized state variables - {C} _m vector of integration constants - [I] unit matrix - EI bending stiffness - A cross-sectional area - u adimensional thickness - l beam length - M,M bending moment - [N] _m shape function ofm-th order - [N*] shape function atx ₀ - P axial load - [R] _i transfer matrix of thei-th element - T,T shear force - w transverse displacement - x adimensional independent variable - x ₀ value ofx at the left of the element - {Y} vector of state variables - {Y*} imposed condition atx ₀ - _0m Kronecker delta with the first pedix always set equal to zero - normalized eigenfrequency - normalized buckling load - mass density