Applicability of Mohr–Coulomb and Hoek–Brown strength criteria to the dynamic strength of brittle rock

2000 ◽  
Vol 37 (7) ◽  
pp. 1115-1121 ◽  
Author(s):  
J Zhao
Author(s):  
Evgeny Yu. Marchukov ◽  
Igor Egorov ◽  
Grigorii Popov ◽  
Anton Salnikov ◽  
Evgenii Goriachkin ◽  
...  

The results of multicriteria multidisciplinary optimization of three-stage low-pressure turbine are described in the paper. The aim of the optimization is to improve turbine operation process by three criteria: turbine outlet flow angle, value of residual swirl at the turbine outlet, and turbine efficiency. Moreover, the requirements of static and dynamic strength must be fulfilled for rotor blades. Full reprofiling of all blade rows is carried out while solving optimization problem. Reprofiling includes a change in both shape of flat blade sections (profiles) and threedimensional shape of the blades. The study is carried out with 3D numerical models of turbines both gas-dynamic and strength. The gas-dynamic improvement of turbine operation is performed as the first step. Then, strength improvement is carried out for the best variants in order to provide satisfactory margins of static and dynamic strength. Mutual strength and gas-dynamic optimization is done as the next step. The final variant of turbine that meets best the gas-dynamic and strength criteria is found as the result of this optimization.


2021 ◽  
Vol 97 (5) ◽  
pp. 51-61
Author(s):  
T.A. ILIUSHCHENKO ◽  
◽  
N.V. FEDOROVA ◽  
◽  

Dynamic strength criteria and crack resistance criteria are given for a typical plane-stressed reinforced concrete element with prestressed reinforcement in one direction. The criteria are constructed by generalizing the theory of plasticity of concrete and reinforced concrete G.A. Geniev on the area of existence of tensile stresses: "tension- tension" and "compression- tension". In general terms, the crack resistance condition and strength condition of a prestressed reinforced concrete plane-stressed element are presented in the form of an ellipse in the coordinates of the main stresses. In this case, in contrast to the criteria of crack resistance of a flat unstressed element, the principal axes of the ellipse don’t pass through the origin. The results of a comparative analysis of the calculated and experimental data on crack resistance and strength for prestressed reinforced concrete in the support zone of the beam of a monolithic reinforced concrete frame tested for a given design load and a special dynamic effect are given.


2021 ◽  
pp. 100983
Author(s):  
Qiang Fu ◽  
Wenrui Xu ◽  
Jiaqi He ◽  
Li Su ◽  
Hao Song ◽  
...  

Energies ◽  
2020 ◽  
Vol 13 (4) ◽  
pp. 991 ◽  
Author(s):  
Jacek Karliński ◽  
Mariusz Ptak ◽  
Leszek Chybowski

The article suggests and supports a simulation-based methodology for determining whether the dynamic strength of tire inflation restraining devices for tire inflation meet quality requirements and ensure operator safety during a potential tire explosion. Dynamic strength tests using an NM-600 safety shield and NK-0728 safety cage during a 29.5 R25X tire explosion at a pressure of 10 bar were presented as an example application of this methodology. The shield was subjected to destructive tests involving the use of a 2200 kg impactor, dropping it so that the minimum kinetic energy reached 20 kJ at the time of impact. Analyzed devices were constructed of S355 steel in accordance with EN 10025. The Cowper–Symonds model of material for strain rate phenomena was used in the calculations. Simulations of a 20 kJ ring impact against the cage were performed. The equivalent stress distribution was determined, and displacement contour lines for the maximum dynamic deformation value and plastic deformation were calculated. The plastic displacement obtained in numerical tests was equal to the permanent deformation recorded in the experimental test. Further, the simulations showed that the examined cage met the assumed strength criteria. The conducted tests confirmed the usefulness of the proposed methodology for assessing the dynamic strength of safety cages and shields for tire inflation. The full-scale, physical cage testing is difficult to implement because it requires placing a ring impacting the cage wall. This is a major boundary for closed cages, as considered in this publication. Thus, simulation-based methods are becoming a principal tool for safety assessment of tire inflation restraining devices.


A description is given of the experimental technique devised to apply the method outlined theoretically in part I to the measurement of the dynamic compressive yield strength of various steels, duralumin, copper, lead, iron and silver. A polished piece of armour steel was employed as a target, and cylindrical specimens were fired at it at various measured velocities from Service weapons. The distance between the weapon and target was made short to ensure normal impact, and apparatus was devised for the precise measurement of striking velocity over this short range. The dynamic compressive yield strength was computed from the density of the specimen, the striking velocity, and from measurements of the dimensions of the test piece before and after test. Details are given of the accuracy of the various measurements, and of their effect on the values of yield strength. The method was found to be inaccurate at low and high velocities. For instance, with mild steel, satisfactory results were only obtainable within the range 400 to 2500 ft. /sec. The range of velocities within which satisfactory results could be obtained varied with the quality of the material tested, soft metals giving results within a much lower range than that necessary for harder materials. Because of its failure at low velocities, the method could not be employed to bridge the gap between static and dynamic tests. The rate of strain employed in the dynamic tests could not be measured, but was estimated to be of the order of 10,000 in. /in. /sec. With the materials tested little change of dynamic strength occurred within the range of striking velocities employed, probably because the rate of strain did not vary to any great extent with the striking velocity. Within the range of weapons available, that is, from a 0·303 in. rifle up to a 13 pdr. gun (calibre 3·12 in.), little change of dynamic strength occurred with alteration of the initial dimensions of the specimens, probably because the corresponding change of rate of strain was not large. In general, the dynamic compressive yield strength S was greater than the static strength Y represented by the compressive stress giving 0·2% permanent strain. For steels of various types, regardless of chemical composition and heat treatment, there was a relation between S / Y and the static strength Y , the ratio decreasing from approximately 3 when Y was 20 tons/sq. in. to 1 when Y was 120 tons/sq. in. A similar relation occurred with duralumin, S / Y varying from 2·5 at Y = 8 tons/sq. in. to 1·4 at Y = 25 tons/sq. in. Dynamic compressive yield values were obtained for soft materials such as pure lead, copper and Armco iron, which, under static conditions, gave no definite yield values. A plot of the unstrained length of the specimen X , expressed as X / L (where L = initial overall length), versus the final overall length L 1 , expressed as L 1 / L , was made for the various materials. Any specified value of X / L was associated with greater values of L 1 / L for the more ductile materials, such as copper and lead, than for the brittle materials, such as armour plate and duralumin.


Fluids ◽  
2021 ◽  
Vol 6 (4) ◽  
pp. 134
Author(s):  
Ivan Smirnov ◽  
Natalia Mikhailova

Researchers are still working on the development of models that facilitate the accurate estimation of acoustic cavitation threshold. In this paper, we have analyzed the possibility of using the incubation time criterion to calculate the threshold of the onset of acoustic cavitation depending on the ultrasound frequency, hydrostatic pressure, and temperature of a liquid. This criterion has been successfully used by earlier studies to calculate the dynamic strength of solids and has recently been proposed in an adapted version for calculating the cavitation threshold. The analysis is carried out for various experimental data for water presented in the literature. Although the criterion assumes the use of macroparameters of a liquid, we also considered the possibility of taking into account the size of cavitation nuclei and its influence on the calculation result. We compared the results of cavitation threshold calculations done using the incubation time criterion of cavitation and the classical nucleation theory. Our results showed that the incubation time criterion more qualitatively models the results of experiments using only three parameters of the liquid. We then discussed a possible relationship between the parameters of the two approaches. The results of our study showed that the criterion under consideration has a good potential and can be conveniently used for applications where there are special requirements for ultrasound parameters, maximum negative pressure, and liquid temperature.


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