Simulation of Frictional Strength and Steady Relaxation Using the Rate and State Dependent Friction Model     

Arun K. Singh  T. N. Singh 《Pure and Applied Geophysics》2013,170(3):247-257

In this paper, frictional strength of hard solids, such as rock–rock sliding surfaces, is studied as a function of waiting time and shearing velocity. A one dimensional spring–mass sliding system is numerically simulated under the quasistatic condition using the rate and state dependent friction model. It is established that frictional strength varies linearly with the logarithm of waiting time (also known as time of stationary contact or relaxation time, etc.) as well as logarithm of shearing velocity. Analytical expression developed for frictional strength is found to be valid only in the case of high stiffness of the connecting spring. In the steady relaxation simulation, a steadily sliding mass is suddenly brought to zero velocity and relaxation of the interfacial stress and corresponding velocity at the sliding interface is studied as a function of relaxation time in the velocity strengthening regime of friction. A mathematical relation is derived between state variable and waiting time using the concept of steady relaxation. The relaxation model is also compared with the experimental data from the literature. Finally, the present study enables one to unify the slide–hold–slide friction experiments.  相似文献   

Estimating the uncertainty of land-cover extrapolations while constructing a raster map from tabular data   总被引：2，自引：0，他引：2  

Robert Gilmore?Pontius Jr.Email author  Aditya?Agrawal  Diana?Huffaker 《Journal of Geographical Systems》2003,5(3):253-273

This paper presents novel techniques to estimate the uncertainty in extrapolations of spatially-explicit land-change simulation models. We illustrate the concept by mapping a historic landscape based on: 1) tabular data concerning the quantity in each land cover category at a distant point in time at the stratum level, 2) empirical maps from more recent points in time at the grid cell level, and 3) a simulation model that extrapolates land-cover change at the grid cell level. This paper focuses on the method to show uncertainty explicitly in the map of the simulated landscape at the distant point in time. The method requires that validation of the land-cover change model be quantified at the grid-cell level by Kappa for location (Klocation). The validation statistic is used to estimate the certainty in the extrapolation to a point in time where an empirical map does not exist. As an example, we reconstruct the 1951 landscape of the Ipswich River Watershed in Massachusetts, USA. The technique creates a map of 1951 simulated forest with an overall estimated accuracy of 0.91, with an estimated users accuracy ranging from 0.95 to 0.84. We anticipate that this method will become popular, because tabular information concerning land cover at coarse stratum-level scales is abundant, while digital maps of the specific location of land cover are needed at a finer spatial resolution. The method is a key to link non-spatial models with spatially-explicit models.  相似文献   

Observation of soft X-ray emission from a region near Per X-1     

P. C. Agrawal  K. Long  G. P. Garmire 《Astrophysics and Space Science》1974,28(1):185-191

Soft X-ray emission from the X-ray source Per X-1 was observed in the 0.4–2 keV energy interval from a rocket borne X-ray detector. Spectral analysis of the data indicates that in the 0.4–2 keV band the X-ray emission from Per X-1 can be fitted either with a power law of slope-(4.8±1.2) or a thermal bremsstrahlung spectrum with akT value of (0.26 _?0.08 ^+0.12 ) keV. Such a steep spectrum is inconsistent with the spectrum measured above 2 keV. The measured flux in 0.4–2 keV band corresponds to X-ray luminosity of 3×10⁴⁵ ergs s^?1 for Per X-1.  相似文献   

Heat transfer in unsteady MHD couette flow of an electrically conducting,viscous, incompressible rarefied gas     

H. L. Agrawal  R. Nath  R. P. Singh 《Astrophysics and Space Science》1987,129(1):169-180

An analytical study is performed to examine the heat transfer characteristics on the flow of a viscous, incompressible rarefied gas in a parallel plate channel under the action of transverse magnetic field when (i) suction velocity normal to the plate is constant, (ii) the second plate oscillates in time about a constant non-zero mean, (iii) fluid is subjected to a constant heat source of absorption type. Apprximate solutions for velocity, temperature, phase, and amplitude of skin-friction and rate of heat transfer are evaluated. Mean temperature profiles, phase and amplitude of rate of heat transfer at both plates are discussed graphically followed by a quantitative discussion. Mean rate of heat transfer is tabulated in Table I.  相似文献   

Diffusion of rare gases of solar wind origin from lunar fines as bubbles     

A.S. Tamhane  J.K. Agrawal 《Earth and Planetary Science Letters》1979,42(2):243-250

A diffusion mechanism is proposed which takes into account phenomena observed in ion-implanted solids, in particular the precipitation of rare gas in the form of bubbles and their migration. The composition of rare gases in the bubbles is inferred from the calculated distribution of solar wind rare gas ions as a function of depth in the grains. These calculations are made for the location and average composition of Apollo 11 samples. It is shown by analogy with experimental observations in ion-implanted solids that the bubbles would migrate towards the surface and that the diffusion constant for this migration would be strongly depth dependent. Relative abundances of rare gas nuclides remaining behind due to the resultant degassing are estimated for one Apollo 11 soil sample and are compared with observed relative abundances for this sample. A qualitative explanation of some of the experimental observations of Ducati et al. on individual lunar grains is also offered.  相似文献   

Cogeneticity of Tavidar volcanics: Evidence by mixing line calculation     

Vinod Agrawal  Rajani Upadhyaya 《Mathematical Geology》1991,23(1):47-52

The Tavidar volcanics belong to a trachybasalt-trachyandesite-rhyolite association. Distribution and behavior of major and trace elements and field relationships indicate that intermediate and acidic volcanics of the area are cogenetic, whereas the basaltic phase is younger. Cogeneticity also is confirmed by the mixing line calculation. In the present case, instead of two pole mixing, three pole mixing between end members andesite, quartztrachyte, and rhyolite has been considered. Results show that a perfect linearity in data exists between andesites and quartztrachyte and between quartztrachyte and rhyolites.  相似文献   

Meeting reports     

R. C. Agrawal  Yves Gratton 《Natural Hazards》1990,3(1):91-94

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Potential energy of gravitationally interacting spherical galaxies     

Arun Potdar  G. M. Ballabh 《Astrophysics and Space Science》1974,26(2):353-362

A theory has been developed for obtaining the potential energy of two interpenetrating spherically symmetric galaxies of unequal dimensions due to their mutual gravitational interaction. The mass distribution in both the galaxies is assumed to be that of a polytrope of integral index. A basic function that occurs in the theory has been tabulated for the cases of polytropes of indicesn=0 and 4 for four ratios of the radii.  相似文献   

Extraction and validation of cartosat-1 DEM     

Nadeem Ahmed  Anjum Mahtab  Ritesh Agrawal  P. Jayaprasad  S. K. Pathan  Ajai  D. K. Singh  A. K. Singh 《Journal of the Indian Society of Remote Sensing》2007,35(2):121-127

CARTOSAT-1 satellite, launched in May, 2005 is a dedicated along track stereo mission providing high quality data for topographic and cartographic applications. The present paper describes the evaluation of the Cartosat-1 stereo data, mainly through the generation and validation of DEM for moderately undulating and hilly areas. Photogrammetric techniques have been used for generation of DEM and Orthoimage for two cases i.e. 1) using RPCs (Rational Polynomial Coefficients) and 2) using RPCs along with ground control points. Root Mean Square Error (RMSE) in elevation values for the moderately undulating (Dehradun) and hilly area (Shimla), are found to be 4.38 and 3.69m respectively.  相似文献   

A genetic model of thrust-bounded intermontane basin using scaled sandbox analogue models: an example from the Karewa Basin, Kashmir Himalayas, India     

K. K. Agarwal  G. K. Agrawal 《International Journal of Earth Sciences》2005,94(1):47-52

The Himalayan mountain system has many depressions of regional dimensions, which are found oriented mostly E–W to NE–SW, mainly to the north of the main boundary fault (MBF). The Karewa Basin in the Kashmir Himalaya has sediments belonging to late Neogene to Quaternary formations, which represent an almost 1,300-m-thick succession of sand, mud and gravels exposed in the river valleys and the plateau margins of the entire Kashmir Valley. Sandbox analogue experiments show a great variety of wedge shapes showing significant changes in the taper angles due to the change in basal friction. Between two pop-ups or depressions (pop-down) of significant dimensions develop along the strike of the growing wedge. In order to maintain the critical angle, these depressions initially receive material from the hinterland, and later on, from the foreland end of the wedge. The depressions have developed due to the change in the surface slope of the wedge, and receive the eroded material only from the adjacent upheaved portions of the wedge. On continuation of the experiments (in cases where the wedge is highly unstable), these depressions are coupled with the wedge along with their sand-fills. The depositional history of the Karewa sediments indicates a sequential evolutionary pattern of the basin and thus represents a natural analogue of the sandbox experiments.  相似文献