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.     

Structure of mercaptobiphenyl monolayers on mercury

The molecular-scale structure and phase behavior of single-component Langmuir films of 4'-methyl-4-mercaptobiphenyl (MMB) and 4'-perfluoromethyl-4-mercaptobiphenyl (FMMB) on mercury were studied using surface tensiometry, grazing incidence X-ray diffraction, and X-ray reflectivity. At low coverages, a condensed but in-plane disordered single layer of surface-parallel molecules is found for both compounds. At high coverages, both compounds exhibit in-plane-ordered phases of standing-up molecules. For MMB, the biphenyl core dominates the structure, yielding a centered-rectangular unit cell with an area A(x) of 21.8 A(2)/molecule, with molecules tilted by approximately 14 degrees from the surface normal in the nearest-neighbor direction, and a coherence length xi of >1000 A for the crystalline domains. For FMMB, the perfluoromethyl group dominates the structure, yielding a hexagonal unit cell with untilted molecules, an area A(x) of 24.2 A(2)/molecule, and a much smaller xi of approximately 110 A. The structure is discussed in comparison with self-assembled monolayers of MMB on crystalline Au(111) and similar-length alkanethiolate SAMs on Au(111) and on mercury. The differences in the structure are discussed and traced to the differences in the substrate's surface structure, and in the molecular cross section and rigidity.     

Energy spectrum of particles accelerated in relativistic collisionless shocks

We analytically study diffusive particle acceleration in relativistic, collisionless shocks. We find a simple relation between the spectral index s and the anisotropy of the momentum distribution along the shock front. Based on this relation, we obtain s=(3beta(u)-2beta(u)beta(2)(d)+beta(3)(d))/(beta(u)-beta(d)) for isotropic diffusion, where beta(u) (beta(d)) is the upstream (downstream) fluid velocity normalized to the speed of light. This result is in agreement with previous numerical determinations of s for all (beta(u),beta(d)), and yields s=38/9 in the ultrarelativistic limit. The spectrum-anisotropy connection is useful for testing numerical studies and constraining anisotropic diffusion results. It suggests that the spectrum is highly sensitive to the form of the diffusion function for particles traveling along the shock front.     

Ring resonator in a Sagnac interferometer as a birefringence magnifier

A novel birefringence magnification technique that uses a ring resonator in a Sagnac interferometer is proposed and demonstrated. An enhancement factor of 38 was obtained experimentally. The scheme can be used to increase measurement sensitivity to small birefringence and polarization mode dispersion and to decrease the threshold for nonlinear switching and laser mode locking by a Sagnac interferometer.     

Astrophysical neutrinos: flavor ratios depend on energy

Electromagnetic (and adiabatic) energy losses of pi's and mu's modify the flavor ratio (measured at Earth) of neutrinos produced by pi decay in astrophysical sources, Phi v: phi v mu: phi v tau, from 1:1:1 at low energy to 1:1.8:1.8 at high energy. The transition occurs over 1-2 decades of v energy, and is correlated with a modification of the neutrino spectrum. For gamma-ray bursts, e.g., the transition is expected at approximately 100 TeV and may be detected by km-scale v telescopes. Measurements of the transition energy and energy width will provide unique probes of the physics of the sources. Pi and mu energy losses also affect the ratio of ve flux to total v flux, which may be measured at the resonance (6.3 PeV): It is modified from 1/6(1/15) at low energy to 1/9 (practically 0) at high energy for neutrinos produced in p p (p gamma) interactions.     

Electronic quasiparticle renormalization on the spin wave energy scale

High-resolution photoemission data of the (110) iron surface reveal the existence of well-defined metallic surface resonances in good correspondence to band calculations. Close to the Fermi level, their dispersion and momentum broadening display anomalies characteristic of quasiparticle renormalization due to coupling to bosonic excitations. Its energy scale exceeds that of phonons by far, and is in striking coincidence with that of the spin wave spectrum in iron. The self-energy behavior thus gives spectroscopic evidence of a quasiparticle mass enhancement due to electron-magnon coupling.     

Fluorescence study of aggregation in water of PEO-grafted polydiphenylamine

Fluorescence spectra of water-soluble conducting poly(ethylene oxide)-grafted polydiphenylamines (PDPA-g-PEOs with the M(n)s of PEO 350, 750, and 2000) in water were determined and interpreted. The emissions of the PDPA-g-PEOs occurred in the range from 360 to 700 nm and were dependent on their concentrations, PEO chain length, extent of oxidation, pH, and temperature. An optimum concentration, above which the fluorescence intensity decreased dramatically because of quenching, was observed. This quenching was a result of the aggregation of PDPA-g-PEO macromolecules in water. The doped PDPA-g-PEO molecules provided a lower optimum concentration than the corresponding reduced-state macromolecules. A rod-shaped microstructure of nanoscale size was generated through the aggregation of the PDPA-g-PEO macromolecules. This microstructure was also confirmed by dynamic light scattering, atomic force microscopy, and surface elemental analysis.     

Near Optimal Separation Of Tree-Like And General Resolution

We present the best known separation between tree-like and general resolution, improving on the recent exp(n ) separation of [2]. This is done by constructing a natural family of contradictions, of size n, that have O(n)-size resolution refutations, but only exp((n/log n))- size tree-like refutations. This result implies that the most commonly used automated theorem procedures, which produce tree-like resolution refutations, will perform badly on some inputs, while other simple procedures, that produce general resolution refutations, will have polynomial run-time on these very same inputs. We show, furthermore that the gap we present is nearly optimal. Specifically, if S (S _T ) is the minimal size of a (tree-like) refutation, we prove that S _T = exp(O(S log log S/log S)).* This research was supported by Clore Foundation Doctoral Scholarship. Research supported by NSF Award CCR-0098197 and USA–Israel BSF Grant 97-00188. This research was supported by grant number 69/96 of the Israel Science Foundation, founded by the Israel Academy for Sciences and Humanities.