Load-absorption by a filament in a fiber-reinforced material

Zusammenfassung Die Arbeit befasst sich mit der statischen Lastübertragung auf eine halbunendliche elastische Faser, die in einer unendlich ausgedehnten elastischen Matrix mit bestimmten mechanischen Eigenschaften eingebettet ist. Im Unendlichen wird für die Matrix ein einachsiger Spannungszustand parallel zur Faser angenommen. Mit Hilfe eines angereicherten Vorgehens lässt sich die gesuchte Faserkraft durch eine Fredholmsche Integralgleichung zweiter Art charakterisieren. Zur Erleichterung der numerischen Lösung der Integralgleichung wird das asymptotische Verhalten der von der Faser aufgenommenen Kraft herangezogen. Eine Reihe quantitativer Resultate zeigt die Vertiefung der Faserkraft und ihre Abhängigkeit von den physikalischen Parametern; ferner wird die Singularität am Faserende diskutiert.

---

---

Dedicated to Professor Ziegler on his sixtieth birthday

---

The results communicated in this paper were obtained in the course of an investigation conducted under Contract Nonr-220(58) with the Office of Naval Research in Washington, D.C.     

Double photoexcitation of helium in a strong dc electric field

We report the first experimental measurements of the effect of an applied field on the photoexcitation and autoionization of doubly excited states of helium. Ground-state photoionization spectra have been measured in the region below the He+(N=2) threshold with static electric fields of up to 84.4 kV/cm across the interaction region. The results are compared to the theoretical calculations of Chung et al. [J. Phys. B 34, 165 (2001)]], which are the only calculations available in this regime. Transitions to several states in the N=2, n=6 manifold are assigned, and a wealth of new structure is observed. Our data show that many more series are mixed in by the field than those predicted by theory.     

Polarization switching in heterophase nanostructures: PLZT relaxor ceramics

The polarization switching is experimentally investigated in hot-pressed PLZT-x/65/35 ceramics with a lanthanum content from 5 to 12 at. %. The specific features in the temperature dependence of the polarization switching in a heterophase state are interpreted by analyzing the change in the switched charge measured over wide ranges of fields and temperatures. Particular emphasis is placed on the role of depolarization fields induced by interphase boundaries. A model of the evolution of polydomain nanostructures with a change in the temperature and in the response to an external field is considered. It is assumed that the low-temperature dielectric anomaly and the temperature hysteresis are associated with the loss of stability of a large-scale domain structure and its transformation into a nanodomain state.     

Large deformations near a tip of an interface-crack between two Neo-Hookean sheets

This paper contains an asymptotic investigation - within the nonlinear theory of elastostatic plane stress - of the deformations and stresses near the tips of a traction-free interface-crack between two dissimilar semi-infinite Neo-Hookean sheets. The results obtained are free of oscillatory singularities of the kind predicted by the linearized theory, which would require the two deformed faces of an interface-crack to overlap in the vicinity of its tips. Instead, the crack is found to open smoothly near its ends, regardless of the specific loading at infinity.     

Steady-state heat conduction in a circular cone

Zusammenfassung Diese Arbeit befasst sich mit der Bestimmung des stationären Temperaturfeldes, das in einem Kreiskegel durch eine unstetige Verteilung der vorgegebenen Oberflächentemperatur hervorgerufen wird. Die Temperatur der Mantelfläche wird oberhalb und unterhalb einer festen Entfernung von der Kegelspitze konstant angenommen. Dieses Problem wird mit Hilfe der Mellin-Transformation streng gelöst. Die so erhaltene Lösung wird in einer später erscheinenden Arbeit auf die Bestimmung der zugehörigen Temperaturspannungen angewendet.

---

---

The results communicated in this paper were obtained in the course of an investigation conducted under Contracts Nonr 562(20) and Nonr 562(25) of Brown University with the Office of Naval Research in Washington, D.C.