A preliminary prediction of seismic damage‐based degradation in RC structures     

Vinay K. Gupta  Sren R. K. Nielsen  Poul H. Kirkegaard 《地震工程与结构动力学》2001,30(7):981-993

Estimation of structural damage from a known increase in the fundamental period of a structure after an earthquake or prediction of degradation of stiffness and strength for a known damage requires reliable correlations between these response functionals. This study proposes a modified Clough–Johnston single‐degree‐of‐freedom oscillator to establish these correlations in the case of a simple elasto‐plastic oscillator. It is assumed that the proposed oscillator closely models the response of a given multi‐degree‐of‐freedom system in its fundamental mode throughout the duration of the excitation. The proposed model considers the yield displacement level and ductility supply ratio‐related parameter as two input parameters which must be estimated over a narrow range of ductility supply ratio from a frequency degradation curve. This curve is to be identified from a set of recorded excitation and response time‐histories. Useful correlations of strength and stiffness degradation with damage have been obtained wherein a simple damage index based on maximum and yield displacements and ductility supply ratio has been considered. As an application, the proposed model has been used to demonstrate that ignoring the effects of aftershocks in the case of impulsive ground motions may lead to unsafe designs. Copyright © 2001 John Wiley & Sons, Ltd.  相似文献   

High-temperature flow of wet polycrystalline enstatite     

John V. Ross  K.C. Nielsen   《Tectonophysics》1978,44(1-4)

Previous experiments by Raleigh et al. (1971) have shown that at strain rates of 10⁻².sec⁻¹ to 10⁻⁷.sec⁻¹ only slip occurs in dry enstatite at temperatures above 1300°C and 1000°C, respectively.The present experiments have been conducted on polycrystalline enstatite under wet conditions in this regime where enstatite only slips, polygonizes and recrystallizes. Slip occurs throughout the whole regime on the system (100)[001] and at strains greater than 40% the system (010)[001] is observed. Polygonization and intragranular recrystallization begin at about 1300°C and 10⁻⁴.sec⁻¹ and the orientation of these neoblasts is host-controlled. At lower strain rates intergranular neoblasts develop and their fabric is one of [100] maximum parallel with σ₁ and [010] and [001] girdles in the σ₂ = σ₃ plane, similar to those in natural enstatite tectonites.Dislocation substructures of experimentally deformed enstatite have been examined by transmission electron microscopy. The samples were deformed within the field in which slip polygonization and recrystallization are the dominant deformation mechanisms. Samples within this regime have microstructures that are characterized by stacking faults and partial dislocations. Under the conditions of steady-state flow in olivine, these microstructures inhibit the operation of recovery mechanisms in enstatite.Other samples deformed within the polygonization and recrystallization field have microstructures that confirm the optical observations of intragranular and intergranular growth of neoblasts. It is suggested that the former result from strain-induced tilt of subrains, whereas the latter may result from bulge nucleation into adjacent subgrains.Mechanical data from constant strain-rate experiments at steady state, stress relaxation and temperature-differential creep tests are best fit to a power-law creep equation with the stress exponent, n~3 and the apparent activation energy for creep, Q~65 kcal/mole. Extrapolation of this equation to a representative natural geologic strain rate of 10⁻⁴. sec⁻¹, over the temperature interval 1000–2000°C, gives an effective viscosity range of 10²⁰–10¹⁸ poise and stresses in the range of 7-0.1 bar, respectively. Comparison with corrected wet-olivine mechanical data (Carter, 1976) over the same environment indicates that olivine is consistently the weaker of the two minerals and will recrystallize whilst enstatite will only slip and kink, thus accounting for the different habits of olivine and enstatite in ultramafic tectonites.  相似文献   

The Blosseville Coast basalts of East Greenland: Their occurrence,composition and temporal variations   总被引：1，自引：0，他引：1  

C. K. Brooks  T. F. D. Nielsen  T. S. Petersen 《Contributions to Mineralogy and Petrology》1976,58(3):279-292

In the system CaO-MgO-A1₂O₃-SiO₂ the tie lines connecting anorthite with other phases are sequentially broken down with increasing pressure according to the following univariant reactions: anorthite+ enstatite_ss+sillimanite pyrope-grossular_ss+quartz (3), anorthite+enstatite_ss pyrope-grossular_ss+diopside_ss+quartz (2), anorthite+pyrope-grossular_ss+ quartz diopside_ss+kyanite (4) and anorthite+diopside_ss grossular-pyrope_ss +kyanite+quartz (8). At 1,200 ° C these reactions occur at 14.5± 0.5, 15.5±0.5, 19.5±0.5 and 26.4±1 kilobar and have positive slopes (dP/dT) of 1±0.5, 2.8±0.5, 13.3±0.5 and 24±2bars/°C respectively. An invariant point involving kyanite rather than sillimanite, occurs at 850 °C±25 °C and 14.5±0.5kbar at the intersection of reactions (3), (2) and (4). Reaction(4) exhibits significant curvature with an increase in dP/dT from 13.3±0.5 to 18.5± 0.5 bars/°C between 1,050° and 850° C. The pressure at which the complete grossular-pyrope join is stable with quartz is estimated at 41 ± 1 kbar at 1,200 ° C. The pressure at which garnet appears according to reaction (2) is lowered by 5 kbar for a composition with anorthite and orthopyroxene (En_0.5Fs_0.5). Enstatite and plagioclase (An_0.5Ab_0.5) first produce garnet at 2 kbar higher pressure than enstatite and pure anorthite (reaction (2)). The calcium content of garnet in various divariant assemblages is relatively insensitive to temperature but very sensitive to pressure, it is therefore a useful geobarometer. At metamorphic temperatures of 700–850 °C pressures of 8–10 kbar are required for the formation of quartz-bearing garnet granulites containing calcic plagioclase and with (Mg/Mg+Fe) bulk = 0.5.  相似文献   

Zur Genese des elementaren Schwefels im Gips von Weenzen (Hils)     

Dr. Alfred Schneider  Dr. H. Nielsen 《Contributions to Mineralogy and Petrology》1965,11(7):705-718

Zusammenfassung In der Hilsmulde tritt bei Weenzen ein Salzstock durch Kreide- und Tertiärsedimente zutage. Dieser Gips führt an einigen Stellen elementaren Schwefel. Durch Isotopenanalysen wurde festgestellt, daß der elementare Schwefel gegenüber dem Ausgangssulfat an³⁴S verarmt und der Schwefelm Restsulfat entsprechend angereichert wurde. Schwefelfreie Bereiche des Gipses zeigen den für Zechsteinevaporite üblichen ³⁴S-Wert. Der Isotopenunterschied von durch-schnittlich 26% deutet auf bakteriellen Ursprung des Schwefels, weil eine anorganische Reduktion des Sulfates unter den vorauszusetzenden Temperaturen nicht möglich ist. Es wird angenommen, daß während des Aufstieges des Salzstockes ein geringfügiger Zutritt von Erdöl Lebensbedingungen für anaerobe Bakterien schuf, was zur Reduktion des Sulfats zu H₂S führte. Der dabei freiwerdende Schwefelwasserstoff wurde durch Reaktion mit SO ₄ ^2– in elementaren Schwefel umgewandelt. Da sich die Reduktion in den einzelnen Bereichen des Gipses sicher in Abhängigkeit von der Intensität der Bakterientätigkeit vollzog, hat sie primär wohl nicht zu homogener Verteilung der Schwefelisotope im Schwefelwasserstoff bzw. im Restsulfat geführt. Während für den elementaren Schwefel die nachträgliche Homogenisierung wegen der Beweglichkeit des Schwefelwasserstoffes verständlich ist, kann sie im Restsulfat so erklärt werden, daß dieses während der Neokomtransgression von oben her stärker der Lösung ausgesetzt war und umkristallisierte, wodurch sich die anfangs wahrscheinlich stärkeren Unterschiede in der Isotopenzusammensetzung des Gipses verwischten.

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Native sulphur is encountered occasionally within the gypsiferous cap-rock of a Permian salt dome in the Hils syncline, in the environs of Weenzen (see map, Fig. 1). A number of sulphur isotope analysis demonstrated that the native sulphur originated out of the primary sulphates, had been depleted in³⁴S, causing a relative enrichment of the remaining sulphate in³⁴S. Those parts of gypsum which are entirely devoid of native sulphur, exhibit a³⁴S value typical of Zechstein (upper Permian). The average enrichment of³²S in native sulphur of about 26% suggests its bacteriological origin, since under the temperatures usually prevailing during the origin of a salt dome, a sulphate cannot be reduced by petroleum. During the rise of the salt dome, the sulphates became contaminated with a small amount of petroleum as a result of which a congenial ecological condition for the development of the sulphate reducing bacterias was produced. The³⁴S depleted H₂S, produced by these bacterial, reacted with the sulphate, thus giving rise to native sulphur (Feely andKulp, 1957).The activity of the sulphate-reducing bacterial leads to different stages of fractionation in the different biochemical environments owing to the varying intensity of the bacterial growth, as well as to the variable ratios of reduced sulphate to primary sulphate. The highly mobile H₂S was homogenized already before the precipitation of native sulphur, whereas the homogenisation of the sulphate is viewed in the solution and recrystallisation processes taking place just below the Neocomian transgression horizon.

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Experimental S isotope fractionation studies between coexisting bismuthinite (Bi₂S₃) and sulfur (S°)     

K. Bente  H. Nielsen 《Earth and Planetary Science Letters》1982,59(1):18-20

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Carboxylic Acids: Seasonal Variation and Relation to Chemical and Meteorological Parameters   总被引：1，自引：0，他引：1  

K. Granby  A. H. Egeløv  T. Nielsen  C. Lohse 《Journal of Atmospheric Chemistry》1997,28(1-3):195-207

Formic and acetic acid measured as daily averages in 1993–1994show equal and highly correlated concentrations up to 3 ppb in the summer(May–August). In the winter (October–March) the formicacid/acetic acid ratio was 0.6 and the formic acid concentrations wereusually below 1 ppb. In winter the carboxylic acids correlate withO_x, NO_y, SO₂ and particulatesulphur. The main sources are suggested to be ozonolysis of anthropogenicalkenes and reactions between peroxyacetyl radicals and RO₂radicals. In spring–summer the carboxylic acids correlate withO₃, O_x, HNO₃, PAN,NO_y, SO₂, particulate sulphur and temperature.In addition to the sources of the winter a contribution from ozonolysis ofbiogenic alkenes is likely. Quite similar formic acid/acetic acid ratios forall wind directions suggest that the source(s) are atmospheric oxidationprocesses distributed over large areas. The highest concentrations occurringfor winds from east to south and the correlation with e.g., particulatesulphur indicate chemical production in polluted air masses during longrange transport.  相似文献   

Constraints on reflective bodies below the 8° discontinuity from reflectivity modelling     

Lars Nielsen  Hans Thybo  Anatoly V. Egorkin 《Geophysical Journal International》2001,145(3):759-770

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Evidence for rapid avian-mediated foraminiferal colonization of Lake Winnipegosis, Manitoba, during the Holocene Hypsithermal     

R. Timothy Patterson  W. Brian McKillop  Sid Kroker  Erik Nielsen  Eduard G. Reinhardt 《Journal of Paleolimnology》1997,18(2):131-143

A Holocene ecological succession was documented using palynological, foraminiferal, and molluscan faunas sampled from an excavated trench on the margin of Bell River Bay, Lake Winnipegosis, Manitoba. The palynological data record the known gradually isostatically-induced shift from aquatic to terrestrial conditions at the site, and clearly delineates the Holocene Hypsithermal maximal warm interval (commencing here about 5500 years BP). Concurrent with this warming the site became occupied by the extinct salt tolerant gastropod Marstonia gelida and the marine foraminifer Cribroelphidium gunteri by at least 5430 years BP. Water fowl-assisted colonization of non-marine habitats by foraminifera has previously been suggested as a dispersal mechanism for other non-marine foraminiferal occurrences. However, as this relatively warm-water foraminifer (presently found as far north as Cape Cod, MA on the Atlantic USA coast, and Vancouver, BC on the Canadian Pacific coast but also found in Canadian Maritime provinces during the Hypsithermal) did not inhabit the area either prior to or following the Hypsithermal warm interval, this occurrence indicates the efficiency with which foraminifera can utilize non-selective avian transport to colonize new non-marine and marine habitats. It may be that only a few years were required for colonization of the site to occur (2000–3000 km distant from native populations); this suggests that avian transport is a much more important foraminiferal dispersal mechanism than previously realized. The appearance of foraminifera at this site may also constrain models designed to determine the time required for hydraulically injected glacial freshwater to be flushed from normally brine producing aquifers in the region.  相似文献   

Response analysis of hysteretic multi-storey frames under earthquake excitation     

S. R. K. Nielsen  K. J. Mrk  P. Thoft-Christensen 《地震工程与结构动力学》1989,18(5):655-666

Local incremental stiffness relations are formulated for a class of elasto-plastic beam elements. The earthquake acceleration is modelled as a filtered white noise process. The Itǒ differential equations of the integrated system made up of the structural system and the excitation process are then formulated. Instead of the original system an equivalent nonlinear system is considered, in which the drift vector is given by a series expansion of order n ≧ 1, where n = 1 represents the well-known case of equivalent linearization. Only components of the drift vector representing the non-analytieal constitutive equations are replaced by a polynomial expansion. The coefficients of this expansion are determined from a least mean square criterion, and are sequentially updated. Especially an equivalent system with a cubic expansion to the drift vector is investigated. The hierarchy of statistical moment equations is closed by a cumulant neglect closure scheme. The method has been applied to a two-storey frame. The results are compared to those of numerical simulation, and provide substantial improvements compared to equivalent linearization.  相似文献   

Evidence for adiabatic decompression melting in the Southern Mariana Arc from high-Mg lavas and melt inclusions   总被引：1，自引：1，他引：1  

Edward J. Kohut  Robert J. Stern  Adam J. R. Kent  Roger L. Nielsen  Sherman H. Bloomer  Matthew Leybourne 《Contributions to Mineralogy and Petrology》2006,152(2):201-221

Unusually magnesian (Mg# ∼76) basalts have been sampled from a small submarine volcano situated on the Mariana arc magmatic front. Total alkalis range from 1.7 to 1.94%, Al₂O₃ from 9.09 to 10.3% and CaO from 13.9 to 14.09%. These lavas can be classified based on mineralogy as picrite and ankaramite. Olivine-hosted melt inclusions (MIs) have median MgO contents of 17.17–17.86 wt%, 0.35–0.5% TiO₂, 42–50% SiO₂ and 1.66–3.43% total alkalis, which suggest that the parental magmas were primitive mantle melts. Trace element concentrations for both MIs and lavas are arc-like, although more depleted than most arc lavas. Chlorine (182–334 ppm) and H₂O contents (0.11–0.64 wt%) in the MIs are consistent with the estimated median oxygen fugacities (log ΔFMQ of + 1.53–1.66) which lie at the low end of the range estimates for arc basalts and picrites (ΔFMQ = + 1 to + 3). Isotopic compositions of Sr, Nd, Hf and Pb are similar to those of other Mariana arc lavas and indicate derivation from an Indian Ocean mantle domain. The averaged magmatic temperature estimate from several geothermometers was 1,367°C at 1–1.5 GPa. We propose that high-Mg magmagenesis in this region results from the adiabatic decompression melting of relatively anhydrous but metasomatized mantle wedge. This melting is attributed to enhanced upwelling related to unusual tectonics on the over-riding plate related to a tear or other discontinuity on the subducted slab.Electronic Supplementary Material Supplementary material is available for this article at and is accessible for authorized users.  相似文献