Plastic zones in Fe-3Si steel double-cantilever-beam specimens

Plastic zones generated in double-cantilever-beam specimens of an Fe-3Si steel are revealed by etching. Zones corresponding to relative stress intensity levels in the range 0.4 (in.)<K/_Y< 0.8(in.), beam height to length ratios H/W = 0.125 and 0.35, and conditions approaching plane strain are examined. The fürthest extent of the zones, p 0.13 (K/_Y)², is about half that previously observed in plates loaded in tension to comparable K-levels. The results are consistent with previous, measurements by Clark and lend support to Wilson's calculations. At high stress levels, when the zone size to beam height ratio /H 0.09, the zone begins to tilt backwards and undergoes a transition from a crack- to a beam-zone. Implications of this transition with respect to the minimum beam height requirement are examined.

---

Zusammenfassung In Doppelkamileverproben aus Fe-3 Si-Stahl gebildete plastische Zonen werden durch Ätzen sichtbar gemacht. Zonen welche einem relativen Spannungsintensitätsniveau im Bereich von 0,4,(in.)<K/_Y< 0,8,(in.) entsprechen, Höhen zu Längen-Verhältnisse H/W = 0,125 und 0,35 sowie Bedingungen, welche sich der planen Verformung annähern, werden untersucht.Die größte Ausbreitung dieser Zonen, 0,13 (K/_Y)² erreicht nur die Hälfte derer die früher in Blechen beobachtet worden waren, welche bei gleichen K-Werten Zugspannungen ausgesetzt wurden. Diese Ergebnisse sind in guter Übereinstimmung mit den schon von Clark durchgeführten Messungen und bekräftigen die Berechnungen von Wilson.Bei hohem Spannungsniveau, wo das Verhältnis /H 0,09 ist, beginnt die Zone sich nach rückwärts zu beugen und sich vom Rissbereich ins Innere des Trägers zu verschieben. Die sich hieraus ergebende Folgerung für die erforderliche minimale Trägerhöhe wird untersucht.

---

Résumé Les zones de déformation plastique qui se développent dans des éprouvettes en forme de double poutre cantilever d'acier Fe-3Si ont été mises en évidence par attaque chimique. On envisage les zones correspondant aux conditions suivantes: niveaux relatifs de l'intensité de contraintes compris dans la fourchette: 0,4(in)<K/y<0,8(in) et rapports hauteur/longueur de poutre H/W = 0,125 et 0,350. On examine les conditions voisines de l'état plan de déformation. L'épanouissement le plus large des zones, exprimé par 0,13 (K/_Y)², est la moitié de celui que l'on a observé précédemment dans le cas de tôles sollicitées en traction à des niveaux K comparables.Ces résultats sont compatibles avec les mesures qu'a obtenues Clark, et confirment les calculs de Wilson. Sous contraintes élevées, lorsque le rapport de la dimension de la zone plastifiée à la hauteur de la poutre /H 0,09, cette zone commence à se cambrer vers l'arrière et passe de la fissure au corps même de la poutre.On examine les implications que comporte cette transition sur les hauteurs minimum de poutres à observer.

     

The Interplay of Electronic and Nuclear Magnetism in PtFe x at Milli-, Micro-, and Nanokelvin Temperatures

We have measured ac susceptibility, nuclear magnetic resonance, and nuclear heat capacity of two PtFe _x samples with concentrations of magnetic impurities x = 11 ppm and 41 ppm at magnetic fields (0 ± 0.05) mTB248 mT. The susceptibility data have been measured at temperatures of 0.3 KT100 mK, no hint for nuclear magnetic ordering could be detected to a temperature of 0.3 K. The nuclear heat capacity data taken at 1.4 KT10 mK show enhanced values which scale with x at low polarization. This effect is described by a model assuming an internal magnetic field caused by the impurities. No indication for nuclear magnetic ordering could be detected to 1.4 K. The nuclear magnetic resonance experiments have been performed on these samples at 0.8 KT0.5 mK and 2.5 mTB22.8 mT as well as on three other samples with x = 5, 10, 31 ppm in a different setup at 40 KT0.5 mK and at 5.4 mTB200 mT. Spin-lattice and effective spin-spin relaxation times ₁and ₂ ^* of ¹⁹⁵ Pt strongly depend on x and on the external magnetic field. No temperature dependence of ₁and ₂ ^* could be detected and the NMR data, too, give no hint for nuclear magnetic ordering to 0.8 K.     

Kinetic concept of the strength of solids

An examination of the time to failure for uniaxial tensile specimens of some 50 materials, measured in some cases over test decades of time, has suggested a universal rate relation between lifetime, stress, and temperature of the form = _o exp [(Uo - )/kT]. The constant _o is essentially the reciprocal of the natural oscillation frequency of atoms in the solid, U_o is the binding energy on the atomic scale, and is proportional to the disorientation of the molecular structure. Assuming the kinetic nature of bond destruction through the thermofluctuation mechanism, direct experimental verification of the phenomenon for polymers has been obtained using electron paramagnetic resonance.

---

Zusammenfassung Eine Betrachtung der Bruchzeit von einachsigen Spannungsprüflingen aus ungefähr 50 verschiedenen Materialien gemessen in manchen Fällen über zehn Zeitdekaden, lässt einen allgemeinen Zusammenhang zwischen der Zeit bis zum Bruch (lifetime), der Zugspannung und der Temperatur, der Form = _o exp [(U_o - )/kT] vermuten.Die Konstante _o ist im wesentlichen die reziproke natürliche Schwingungsfrequenz der Atome im Festkörper, U_o ist die bindungsenergie zwischen den Atomen, und ist proportional des Disorientierung der molekularen Struktur. Unter der Annahme, dass die Bindungszerstörung kinetischer Natur ist und durch Thermofluktuation erfolgt, wurde eine direkte experimentelle Bestätigung der Zusammenhänge bei Polymeren durch Beobachtung der paramaguetischen Elcktronenresonanz erhalten.

---

Résumé Un examen du temps de rupture pour des échantillons de traction uniaxes d'environ 50 matériaux, mesuré dans certains cas sur 10 décades de temps, a suggéré une relation universelle entre la durée de la résistance, la traction et la température, de la forme: = _o exp [(U_o - )/kT] La constante _o est essentiellement la réciproque de la fréquence naturelle d'oscillation des atomes dans le solide, U_o est l'énergie de liaison des atomes et est proportionnel à la désorientation de la structure moléculaire. En admettant la nature cinétique de la destruction de la liaison, par le mécanisme de fluctuation thermique, la vérification expérimentale directe du phénomène à été obtenue, pour des polymères, par la technique de la résonance paramagnétique des électrons.

---

---

Invited lecture presented at the International Conference on Fracture, Sendai. Japan, Sept. 1965.     

Flux-line cutting in type II superconductors

Experimental evidence for flux-line cutting in superconductors (intersection and cross-joining of singly quantized vortices) is briefly reviewed. The interaction energy between two straight vortices tilted at an angle ( 0)is then shown to be finite in the London model, i.e., in the limit of vanishing core radius. Next, the activation energy and maximum interaction force are calculated for the vortices in an analytic approximation to the Ginzburg-Landau theory. Here two competing interactions determine the behavior. Electromagnetic repulsion (0 < < /2) varies as cos and decays over distances scaled by the penetration depth , while core attraction is independent of and varies over distances scaled by the coherence length . The force is always repulsive at large flux-line separation (0 < < /2) and its maximum decreases rapidly as decreases, so that flux-line cutting isexpected to be more probable in low- materials. The calculations provide a basis for explaining longitudinal flux-flow resistance as well as some intriguing magnetization behavior in the same configuration.This work was supported by the U.S. Department of Energy, Office of Basic Energy Sciences, Materials Sciences Division, and by the Deutsche Forschungsgemeinschaft.On leave from Max-Planck-Institut für Metallforschung, Institut für Physik, Stuttgart, West Germany.On leave from New University of Ulster, Coleraine, Northern Ireland.     

Magnetic order in thet-J andt-t′-J models

The magnetic structure of thet-J andt-t-J models are investigated. Assuming that the ground state has magnetic long-range order, we calculated the energy of some magnetically ordered states using a simple transformation of the models and theS approximation. The result shows that the Néel state is destroyed by doped holes unless the next-nearest neighbor hoppingt is finite, and that the ferromagnetic phase appears at moderate doping. Mean field analysis shows that the intermediate phase between the Néel and ferromagnetic phase has spiral spin order, although the spiral phase is shown to be unstable against density fluctuations.On leave from the Department of Materials Science, Faculty of Science, Hiroshima University, Higashi-Hiroshima 724, Japan.     

Anisotropic gap distortion due to superflow and the depairing critical current in superfluid 3He-B

The specific heats of UAs and the isostructural nonmagnetic homolog ThAs have been measured in the temperature range 5–300 K. While the latter compound displays a regular smooth curve C _p (T), UAs shows two sharp anomalies. The first anomaly, around 64 K, may be ascribed to the magnetic transition from type IA to type I antiferromagnetic structure; the second anomaly, at 122.8 K, corresponds to the Néel temperature. An analysis of the experimental curve C _p (T) for UAs has been carried out by several different methods to get the magnetic contribution to the specific heat with the best possible accuracy. The resulting magnetic entropy depends on the method and its maximum value at 250 K is 0.8 R ln 4, assuming a high-temperature value of the electronic heat capacity coefficient – 33 mJ/K² mole. No anomaly at 41 K was observed whatever thermal treatment was used to prepare the UAs samples.     

The influence of ageing on the stability of β-γ/γ′ derived microstructures in Ni-Al-Cr-(Co) alloys

Multiphase Ni-Al-(Fe)-(Cr)-(Co)-based intermetallics with (B2)- (A1)/(L1₂), - or - microstructures can exhibit significant room-temperature tensile ductility. In the case of Ni-Al-Cr-based alloys, microstructural development is complicated by the precipitation of -Cr, which can supplant the -phase during ageing of three-phase -/ microstructures. An investigation of the stability, during ageing, of cast Ni-Al-Cr-(Co) alloys with microstructures derived from -/ is reported. In the as-cast condition, the materials investigated consisted of a dendritic matrix containing L1₀ type martensite and interdendritic /. Extensive intra- and interdendritic -Cr precipitation was also observed. The stability during ageing of the interdendritic / microstructure is also considered and transformation of the L1₀ martensite is examined.     

Effect of Intense Self-Irradiation on the Phase Composition of Metallic Plutonium

The crystal structure of film samples of "high-level" (based on ²³⁸Pu) and low-level (based on ²³⁹Pu) metallic plutonium during their prolonged (up to 343 days) storage (self-irradiation) at room temperature was studied by X-ray diffraction. In the samples of high-level plutonium, the -Pu and -Pu lattices coexist. In the period of 40-60 days, the other known crystal modifications of plutonium (-Pu, -Pu, -Pu, and -Pu) are also present. Low-level plutonium had only the -Pu lattice. A possible origin of this phenomenon is discussed.     

Size-strength effects in sapphire and silicon nitride whiskers at 20° C

Tensile tests at 20° C have been carried out on seventy-three sapphire whiskers and on seventeen silicon nitride whiskers. The sapphire whiskers were of 0001, 1¯120, 10¯10, and 10¯11 orientations, while the silicon nitride whiskers were 0001, 11¯20, and 10¯13. Tensile strengths were in the range 45 to 1500 kg/mm², and deformation was found to be purely elastic. The tensile strength data have been analysed and fitted to empirical equations describing the effect of size on strength for different orientations. These empirical equations have been used to deduce possible fracture nucleation mechanisms. It is concluded that, in the case of 0001 sapphire whiskers, fracture nucleation may be due to dislocation pile-ups or interactions, while in the other cases a Griffith flaw mechanism is probably applicable.     

Half-solitons in superfluid3He-A: Novel π/2-quanta of phase slippage

Core structures of nontopological solitons between inequivalent vacua in superfluid³He-A are considered. We analyze the symmetries of these A-A interfaces, and compute their hard-core structures in the Ginzburg-Landau regime. We discuss both domain walls where the orbital anisotropy l-vector is flipped (l–l), and those with the same l(x=–) and l(x=+) asymptotics. In particular, we find new classes of A-A boundaries: these novel /2-solitons, which can occur in the absence of a change in the asymptotic l-vector field, constitute the elementary quanta of phase slippage in superfluid³He-A. We ascribe these half-solitons to a new topological scenario for the flaring-out of vorticity in the extended (k, r)-space. Edges of such walls serve to provide vortices with 1/4 quantum of circulation in³He-A. In analogy with the B-B domain walls in superfluid³He-B, solitons of pure phase slippage by —with a normal core—prove unstable in³He-A; they either fission into a pair of ordinary l-solitons—domain walls with superfluid cores both flipping the orbital anisotropy axis (i.e., l–ll), or form a bound pair of walls, each of which constitutes an l-soliton with a phase shift of /2. Our investigation of the superfluid A-A vacuum interfaces may prove useful in a broader context since the A-A boundaries exemplify the possible domain walls relevant for the Higgs-field solitons (cosmic domain walls) within the Weinberg-Salam model.     

Mechanical properties and microstructure of β-SiAION-β-SiC composites by pressureless sintering

-SiAION--SiC composites containing up to 12 wt% -SiC were prepared by pressureless sintering. The strength of composites at room temperature remained relatively unchanged, whereas strength at 1200 °C increased for composites. The fracture toughness (K _IC) for composites was higher than that for -SiAION ceramics. The maximum value was 5.4 MPa m^1/2 for 6 wt% -SiC, and this was an improvement of 15% in comparison with -SiAION ceramics. From SEM observations, an improvement inK _IC values was attributed to crack deflections and branching-off of cracks. Intra-granular fractures were frequently observed in -SiAION. From TEM observations, -SiAION crystals were nanocomposites, within which existed the fine crystals in -SiAION crystal. For composite, -SiAION and -SiC crystals were directly in contact. The mismatching zone was observed in -SiC.     

Numerical studies in dynamic fracture mechanics

This paper provides a summary of recent studies concerning numerical modeling of dynamic crack-propagation, Both stationary mesh as well as moving mesh finite-element procedures are examined. Simple procedures, using a moving mesh of conventional isoparametric elements in conjunction with certain path-independent integrals for the evaluation of stress-intensity factors for a dynamically propagating crack are presented.

---

Résumé Le mémoire fournit des synthèses des études récentes relatives à la modélisation numérique de la propagation de fissures dynamiques. On examine, à la fois, le maillage stationaire et le maillage mobile utilisés dans les procédures d'éléments finis. On présente des procédures simples utilisant un maillage mobile d'éléments conventionnels isoparamétriques utilisé avec certaines intégrales indépendantes du parcours, en vue d'évaluer les facteurs d'intensité de contrainte dans le cas d'une fissure en cours de propagation dynamique.

     

Influence of Multiple‐Scattering Processes on the Laser Probing of Biological Tissues

Theoretical aspects of multiplescattering processes in laser probing of biological tissues have been considered. The method of digital dynamic specklephotography has been described. The results of experimental studies of the nearsurface blood flow and stressedstrained states in a pinstructure–toothroot model are presented.     

Thermodynamic investigations of liquid Bi-Na and Sn-Na alloys by coulometric titration using β″-alumina

The following double galvanic cell was assembled and the thermodynamic properties of liquid Bi-Na and Sn-Na alloys, and the ion selectivity of -alumina during coulometric titration, were investigated. Mo, Na(I)¦-alumina¦M-Na(I), Mo [I] M-Na(I)¦-alumina¦Au + Au₂Na, Mo [II] (M = Bi or Sn) where M-Na(1) and Au + Au₂Na were used as the common electrode and reference electrode, respectively. Sodium was coulometrically titrated through the -alumina electrolyte of cell I both ways, and the EMFs were measured. It was found that no ion-exchange reaction occurs between the liquid alloys and the -alumina, and only Na was transferred in the -alumina during coulometric titrations. The thermodynamic properties of liquid Sn-Na and Bi-Na alloys were found to be in agreement with the literature.     

Visualization of antiferromagnetic domain structures on as-grown NiO crystals by optical methods

The antiferromagnetic T-domain structures on a bulk NiO crystal surface could be visualized by means of incident-light types of microscope such as a differential interference microscope, a phase-contrast microscope and a high-dispersion interference contrast method. The visualization of the antiferromagnetic domain is possible due to the facial tilt which was induced in the NiO crystal due to the antiferromagnetic ordering below the Néel temperature. The lateral resolution of the present methods in visualization of the domain structure is about 1m, which is better than that of X-ray or neutron topography. The tilt angle between each domain was measured by two-beam interferometry; the average experimental value (923) agrees fairly well with the calculated value (824). Direct observation of the movement and disappearance of the domain boundaries upon heating could also be carried out under the phase-contrast microscope.     

Irreversibilites in science and technology networks: An empirical and analytical approach

The theory of autopoiesis, i.e., self-referentiality in the operation of the system, provides us with a production rule for change in the structure of the network. Using information theory, a model system is developed to study the relative likelihood of dynamic transitions: various senses of irreversibility (emergence, and path dependency) are disinguished. A test for path dependency is applied to two sets of empirical data which supposedly reflect historical discontinuities: the budget of theFraunhofer Gesellschaft, and the citation network among AIDS research related journals. The model for the interaction between self-referential developments and goal-referential boundary conditions is further specified, using the example of technological trajectories and selection environments.     

Cyclic deformation behavior of a low carbon steel in the temperature range between room temperature and 850 K

Stress-controlled uniaxial push-pull fatigue tests were carried out with cylindrical specimens of low carbon steel with a carbon content of 0.1 percent. Resistent heated grips provided testing temperatures up to 550°C. During all fatigue tests the time-dependent strain was measured. The strain at zero load, the plastic strain amplitude plotted against the number of cycles is known as the cyclic deformation curve. At room temperature, this curve depends on the applied stress amplitude. The shape of the cyclic deformation curve at the same stress amplitude is strongly temperature-dependent. In the temperature region of blue brittleness the endurance shows a maximum connected with a very low plastic strain amplitude. Also the cyclic stress strain curves have a different appearance within varied temperature ranges.The observation of the dislocation structure of the specimen's interior after fatigue damage by means of the transmission electron microscopy showed different pictures within different temperature regions. For instance, besides other structures at other temperatures, dislocation channeling was found, connected with a cyclic softening process which is evident from the cyclic deformation curve. The dislocation structures of specimens fatigued at various conditions differ from clouds to cells, channels, walls, and blocks.

---

Résumé Des essais de fatigue traction compression uniaxiale en contrainte contrôlée ont été éffectués sur des éprouvettes cylindriques d'acier à bas C, le carbone étant de 0,1%. Grâce à des mordaches résistant à la température, on a pû réaliser des essais jusque 550°C. Durant tous les essais de fatigue, on a mesuré la dilatation en fonction du temps.La déformation à charge nulle ou amplitude de déformation plastique portée en diagramme en fonction du nombre de cycles est connu comme la courbe de déformation cyclique. A la température ambiante, cette courbe dépend de l'amplitude des contraintes appliquées. La forme de la courbe de déformation cyclique à même amplitude de contrainte dépend directement de la température. Dans la région de température correspondant à la fragilité au bléu, l'endurance fait état d'un maximum en relation avec une très faible amplitude de déformation plastique. On constate également que les courbes de contrainte et de déformation cyclique ont une forme différente suivant la gamme de températures.L'observation de la structure de dislocation à l'intérieur d'un échantillon soumis à dommage de fatigue montre, en utilisant une microscopie électronique par transmission différents aspects suivant les zones de températures différentes atteintes. Ainsi, parmi diverses structures correspondant à d'autres températures, on a constaté des alignements de dislocations en connexion avec un processus d'adoucissement cyclique qui apparait clairement à partir des courbes de déformation cyclique. Les structures des dislocations des éprouvettes soumisses à fatigue sous diverses conditions prennent la forme de nuages, de cellules dalignements de parois et de blocs.

     

A note on the similarity solutions for free convection on a vertical plate

Summary The similarity solutions for free convection on a vertical plate when the (non-dimensional) plate temperature is x and when the (non-dimensional) surface heat flux is –x are considered. Solutions valid for 1 and 1 are obtained. Further, for the first problem it is shown that there is a value ₀, dependent on the Prandtl number, such that solutions of the similarity equations are possible only for >₀, and for the second problem that solutions are possible only for >–1 (for all Prandtl numbers). In both cases the solutions becomes singular as ₀ and as –1, and the natures of these singularities are discussed.     

On geometric representations of dynamics

Summary The solutions of dynamics problems are considered as trajectories in the configuration, event, state, and state-time spaces, and the effects of some axioms of particle mechanics on the geometry of these trajectories are examined. Strictly Newtonian systems (SN) are defined for whichNewton's second law holds always, and Newtonian systems (N) for which momentum is permanently bounded, andNewton's second law holds almost always. The continuity, smoothness and monotonicity of the trajectories of (SN) and (N) in the above-mentioned spaces is studied, as well as the geometric meanings of scleronomic, rheonomic, holonomic and nonholonomic constraints and ofLiapunov andPoincaré stability. Finally, some examples from nonlinear vibration theory are used to illustrate the power of geometrical intuition in the solution of dynamics problems.

---

Zusammenfassung Die Lösungen dynamischer Probleme werden als Trajektorien im Konfigurations-, Ereignis-, Zustands- und Zustands-Zeit-Raum betrachtet und die Auswirkungen einiger Axiome der Punktmechanik auf die Geometrie dieser Trajektorien untersucht. Als Strikt Newtonsche Systeme (SN) werden solche definiert, für die das zweiteNewtonsche Gesetz immer gilt und als Newtonsche Systeme (N) solche, für die der Impuls ständig beschränkt bleibt und das zweiteNewtonsche Gesetz fast immer gilt. Sowohl die Stetigkeit, Glattheit und Monotonität der Trajektorien der (SN) und (N) werden in den oben erwähnten Räumen untersucht, als auch die geometrische Bedeutung skeleronomer, rheonomer, holonomer und nichtholonomer Bedingungen und derLiapunovschen undPoincaréschen Stabilität. Schiließlich wird an Hand einiger Beispiele aus der Theorie nichtlinearer Schwingungen die Leistungsfähigkeit der geometrischen Betrachtungsweise bei der Lösung dynamischer Probleme illustriert.

---

---

With 9 Figures     

Microstructure and mechanical properties of rapidly quenched L20 and L20+L12 alloys in Ni-Al-Fe and Ni-Al-Co systems

Ductile L2₀-type wires and+L1₂-type duplex wires with high strengths and large elongation in the Ni-Al-Fe and Ni-Al-Co ternary systems have been manufactured directly from the liquid state by an in-rotating-water spinning method. The wire diameter was in the range 80 to 180m and the average grain size was 2 to 4m for the wires and 0.2 to 1.0m for the+ wires. _y, _f and _p of the wires were found to be about 360 to 760 MPa, 560 to 960 MPa, and 0.2 to 5.5%, respectively, for the Ni-Al-Fe system, those of the+ wires were about 395 to 660 MPa, 670 to 1285 MPa, and 3.5 to 17%, respectively, for the Ni-Al-Fe system, and about 260 to 365 MPa, 600 to 870 MPa, and 4.0 to 7.0%, respectively, for the Ni-Al-Co system. Cold-drawing caused a significant increase in _y and _f and the values attained were about 1850 and 2500 MPa, respectively, for Ni-20Al-30Fe and Ni-25Al-30Co wires drawn to about 90% reduction in area. The high strengths, large elongation and good cold-workability of the melt-quenched and+ compound wires have been inferred to be due to the structural change into a low-degree ordered state containing a high density of phase boundaries, suppression of grain-boundary segregation and refinement of grain size.