A critical review of some damage models with unilateral effect

The concern here is the macroscopic modeling of the brittle damage unilateral effect (due to the opening-closure of microcracks). Several formulations have been proposed in recent years to solve the problems pointed out by Chaboche (Int. J. Damage Mech. 1 (1992) 148). In this paper, we examine precisely two of these new formulations (Int. J. Damage Mech. 2 (1993) 311; Int. J. Damage Mech. 5 (1996) 384) and show that they still exhibit some major inconsistencies.     

Strain behavior of pressurized cracked thick-walled cylinders

External circumferential strains were measured on large thick-wall pressure vessels containing internal fatigue cracks, using bonded strain gages. When strains measured over the cracks become compressive they predict impending failure. Normalization by the Lamé strain relates them to the fraction of fatigue life consumed and provides estimates of longevity.     

Dilute polymeric solutions close to bounding surfaces: Shear stresses in equilibrium

The problem of a dilute polymer solution in equilibrium close to a wall, an edge, and a corner, respectively, is studied theoretically. Detailed knowledge of the rheology in these regions is needed in order to obtain the proper boundary conditions for bulk variables. It is interesting to see that shear stresses are predicted, whose origin is based on the intramolecular (elastic) interaction between the beads.     

Instability of a thermally inhomogeneous layer of weakly conducting liquid in an electric field

We give the results of a theoretical investigation of the hydrostatic stability of a plane horizontal layer of weakly conducting liquid for different constant temperatures and potentials on the thermally and electrically conducting capacitor plates bounding the layer. We found that the onset of electrothermal convection is of an oscillatory nature. The critical conditions for loss of stability were found.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 133–138, November–December, 1974.     

Zur analytischen Behandlung des nichtlinearen aeroelastischen Galloping-Problems

Übersicht Es wird ein graphisch-numerisches Verfahren zur Lösung der nichtlinearen Galloping-Differential- gleichung dargelegt. Die Einzelheiten des Lösungsverfahrens werden beschrieben und an Hand eines typischen Beispiels näher erläutert.

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Summary A graphical-numerical method for the solution of the non-linear Galloping differential equation is presented. The details of the analytical procedure are discussed and explained by means of a typical example.

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Diese Arbeit entstand im Rahmen eines einjährigen Stipendiums der Alexander von Humboldt-Stiftung. Der Stipendiat Dr.-Ing. V. Manea ist Mitarbeiter im Institut de Mecanica Fluidelor si Constructii Aerospatiale, Bukarest.     

Akkommodationskoeffizienten von Edelgasen an Pt im Temperaturbereich von 80 K bis 450 K

Zusammenfassung Die Akkommodationskoeffizienten von He, Ne und Ar wurden von 80 K bis 450 K, die von Kr und Xe von 250 K bis 450 K an gasbedeckten und teilweise gereinigten Pt-Oberflächen gemessen. Zur Anwendung kam die stationäre Hitzdrahtmethode bei sehr niedrigen Drucken.Der Fehler in den Bestimmungen an der gasbedeckten Oberfläche wird auf 2–3% geschätzt. Die Messungen an der teilweise gereinigten Oberfläche wurden extrapoliert aus dem zeitlichen Anstieg des Akkommodationskoeffizienten nach einer Aufheizung des Hitzdrahtes auf 900 K. Diese Ergebnisse sind mit einem wesentlich höheren Fehler behaftet.

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Accommodation coefficients of noble gases on Pt-surfaces from 80 K up to 450 K

Accommodation coefficients of He, Ne and Ar have been measured from 80 K up to 450 K, those of Kr and Xe from 250 K up to 450 K on gas covered and partially cleaned Pt-surfaces by the stationary hot wire method at very low pressures.The error of determinations on gas covered surfaces is estimated to be about 2 or 3%. The measurements on partially cleaned surfaces were extrapolated from the increase of the accommodation coefficient with time after a heating of the Pt-wire up to 900 K. In this case the error will be considerably higher.

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Bezeichnungen A Apparaturkonstante - a_i Konstante - C_v Molwärme bei konstantem Volumen - F Oberfläche des Meßdrahtes aus Pt - f_i Druckexpansionsfaktor - g (T) Korrekturfunktion, die die thermomolekulare Druck-differenz in verschieden temperierten Teilen des Versuchsraumes berücksichtigt - I Heizstrom im Pt-Draht - l Länge des Pt-Drahtes - M Molmasse - p Druck - q_D vom Pt-Draht durch Drahtwärmeleitung abgeführte Leistung - q_E dem Pt-Draht zugeführte elektrische Leistung - q_G vom Pt-Draht durch Gaswärmeleitung abgeführte Leistung - q_s vom Pt-Draht durch Strahlung abgeführte Leistung - R allgemeine Gaskonstante - R_i Widerstand des Pt-Drahtes - r Radius des Pt-Drahtes - T Gastemperatur - t₀ Raumtemperatur - T Differenz der Temperatur des Meßdrahtes und der Gas-temperatur - t Zeit - t_A charakteristische Adsorptionszeit - V_i Volumina - z Koordinate in Längsrichtung des Pt-Drahtes - Akkommodationskoeffizient (AK) - ₀ AK der teilweise gereinigten Pt-Oberfläche - _G AK der gasbedeckten Pt-Oberfläche - mittlere freie Weglänge - _Pt Wärmeleitfähigkeit des Pt     

A photomechanics material for elastoplastic stress analysis

The object of this investigation was to develop a technique or method for elastoplastic stress analysis using the optical effects of transparent materials. Of paramount importance was the selection and characterization of a suitable model material. In particular, it was desirable that the material be able to undergo large plastic strains while, at the same time, exhibiting a suitable level of optical response. A mixture of flexible and rigid polyester resins was found suitable, i.e., the mixture exhibited large strains and good optical response. It was found that unload birefringence (fringe order immediately upon removal of load) could be used to determine strain for a uniaxial-stress field. In particular, it provided a means for evaluating stress- and strain-concentration factors. Comparisons with other methods showed that the proposed method was reliable and gave results that are similar to those by other means. The usefulness of the material and method for two- and three-dimensional problems awaits further study.     

Evaluation of the energy efficiency of heat addition upstream of the body in a supersonic flow

Criteria for evaluating the energy efficiency of heat addition upstream of the body in a supersonic gas flow are obtained. Based on the functional objectives of flying vehicles and the thermodynamic model of the process, estimates are obtained for missile and aircrafttype vehicles. The minimum Mach numbers at which heat addition upstream of the body is reasonable are evaluated. The increase in the flight range in the cruising regime for an aircrafttype vehicle and on the active trajectory for a missiletype vehicle is evaluated. Estimates for fuel economy in launching an aerospace plane into an Earth orbit are given. It is shown that a significant part of the fuel should be spent on producing energy for gas heating in order to obtain a noticeable effect. The minimum necessary efficiency" of conversion of the fuel energy into the gasheating energy is evaluated.     

Modulated Taylor-Couette Flow: Onset of Spiral Modes

The linear stability of the flow between concentric cylinders, with the inner cylinder rotating at a constant angular velocity and the outer cylinder with an angular velocity varying harmonically about a zero mean, is addressed. The bifurcations of the base state are analyzed using Floquet theory, paying particular attention to non-axisymmetric bifurcations which are dominant in significant regions of parameter space. In these regions the spiral modes of the unforced system become parametrically excited and dominant. This is typical behavior of parametrically forced extended systems, where some modes are stabilized, but others are simultaneously excited. The flow structure of the bifurcated states are examined in detail, paying particular attention to the dynamic implications of their symmetries, and in particular how and when subsequent period doublings are inhibited. Received 5 November 2001 and accepted 29 March 2002 Published online: 2 October 2002 RID="*" ID="*" This work was supported by NSF Grants INT-9732637 and CTS-9908599 (U.S.A.) and MCYT Grants PB97-0685 and BFM2001-2350 (Spain). Communicated by H.J.S. Fernando     

A new micromechanical formulation of martensite kinetics driven by temperature and/or stress

Summary Martensitic transformation behavior of alloys is studied under the arbitrary action of a thermal and/or a triaxial mechanical load-stress state by solving a transformation kinetic equation presented recently by the same authors. Numerical and analytical solutions reveal that the transformation behavior is almost path-independent. Lines of constant volume fraction of martensite are nearly parallel in the stress-temperature plane. Some new analytical formulae for martensitic transformation kinetics are presented.

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Eine neue mikromechanische Formulierung der Martensit-Kinetik unter Temperatur- und/order Spannungsbelastung

Übersicht Es wird das Verhalten der martensitischen Umwandlung von Legierungen unter beliebiger thermischer und/oder dreiachsiger mechanischer Spannungsbelastung untersucht, indem eine neue Gleichung der Umwandlungskinetik gelöst wird. Diese Gleichung wurde vor kurzem von denselben Autoren vorgestellt. Die numerischen und die analytischen Lösungen zeigen, daß das Transformationsverhalten nahezu pfadunabhängig ist. Die Linien gleicher Volumsfraktion von Martensit sind nahezu parallel im Spannungs-Temperatur-Diagramm. Es werden auch einige neue analytische Formeln für die Umwandlungskinetik von Martensit präsentiert.