Thermodynamics of hypoelasticity

A thermodynamic framework for hypoelasticity is constructed based on a modified Gibbs Function which depends on the stress deviator and specific volume. In the hypoelastic equations considered here, the stress deviator is obtained from a rate equation involving the corotational derivative and coefficients which depend on the invariants of the stress deviator as well as specific volume. Non-negative entropy production is enforced, leading to a non-dissipative condition in the sense that entropy is produced only by heat transfer. The resulting conditions lead to relations among the coefficients in the rate equation. These relations underdetermine the coefficients, so that there is leeway in specifying these coefficients. An example of a set of rate equations which satisfy the thermodynamics is presented.     

Sur l'intégration des équations aux dérivées partielles du type elliptique. II. Note

Sans résumé     

Sur l'ultraconvergence d'une classe de séries de Dirichlet

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Lateralization of bands of noise and sinusoidally amplitude-modulated tones: effects of spectral locus and bandwidth

Lateralization of narrow bands of noise was investigated while varying interaural temporal disparity (ITD), center frequency, and bandwidth, utilizing an acoustic pointing task. Stimuli were narrow bands of noise centered at octave intervals between 500 Hz and 4 kHz with bandwidths ranging from 50-400 Hz. In a second experiment, lateralization for bands of noise and sinusoidally amplitude-modulated (SAM) tones, whose spectral content was constrained to be no lower than 3.8 kHz, was assessed. Overall, relatively large extents of laterality were obtained from all four listeners for ITDs of low-frequency bands of noise. Increasing the bandwidth of these noises did not yield consistent changes in the extent of laterality across ITDs and listeners. Most targets centered at high frequencies were lateralized near the midline. However, three of the four listeners did exhibit rather large displacements of the intracranial image when the bandwidth of the high-frequency noises was 400 Hz or greater. Interestingly, ITDs within high-frequency SAM tones were relatively ineffective. Thus, it appears that ITDs of relatively wide-band, high-frequency stimuli can mediate rather substantial extents of laterality. However, these effects are highly listener-dependent.     

Über ein geometrisches Theorem und seine Anwendung auf die partiellen Differentialgleichungen vom elliptischen Typus

Ohne ZusammenfassungDie vorliegende Note ist die Übersetzung des bereits im Jahre 1914 in den Mitteilungen der Mathematischen Gesellschaft in Charkow erschienenen Aufsatzes Sur un théorème de géométrie et son application aux equations aux dérivées partielles du type elliptique. Für die freundliche Übersetzung sind die Schriftleitung und der Verfasser Herrn Tibor Radó in Szeged zu Dank verpflichtet.     

Eine Methode zur Phosphorbestimmung in Gu?eisen und Stahl mittels o-Oxychinolins

Ohne Zusammenfassung     

Demonstration du théorème de M. Hilbert sur la nature analytique des solutions des équations du type elliptique sans l'emploi des séries normales

Sans résumé