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Petroleum Seismological Survey
Published in Muhammad Abdul Quddus, Petroleum Science and Technology, 2021
The bulk modulus is related to the volume change (strain) in an elastic matter, due to an applied pressure force (stress). It represents the compressibility property of the matter. A pressure force (P) is applied to a cubic-shaped matter of volume (V) resulting in a change of volume (dV). The bulk modulus (K) is defined by: K = Bulk pressure force/change in volumeK = Bulk stress/volume changeK = P/(dV/V)
Mechanical properties of solids
Published in Peter Domone, John Illston, Construction Materials, 2018
The bulk modulus is used when estimating the change in volume of a material under load. In the case of uniform stress on a material in all directions i.e. a pressure (p) as might be found by submergence of the specimen to some depth in a liquid: Thevolumetricstress(εv)=change(reduction)involume/orignalvolume
Absorbers
Published in Trevor J. Cox, Peter D'Antonio, Acoustic Absorbers and Diffusers, 2016
Trevor J. Cox, Peter D'Antonio
Once the characteristic impedance and wavenumber within an acoustic medium are known, it is possible to predict the sound propagation. While it is possible to characterize a medium with the characteristic impedance and the wavenumber, it is also possible to use two other variables, the effective density, ρe, and bulk modulus, Ke. The word effective is used to signify that this is the density experienced by the acoustic waves rather than the more normal definition of mass divided by volume. The bulk modulus is the ratio of the pressure applied to a material to the resultant fractional change in volume it undergoes. It is the reciprocal of the compressibility. For a porous absorber, the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations. The characteristic impedance is given by zc=Keρe,(2.11)
Investigations of martensitic, thermodynamics, elastic, electronic, magnetic, thermal and thermoelectric properties of Co2FeZ Heusler alloys (Z=Si; Ge; Al; Ga): a first principle study
Published in Molecular Physics, 2022
M. Y. Raïâ, R. Masrour, A. Jabar, M. Hamedoun, A. Rezzouk, A. Hourmatallah, N. Benzakour, K. Bouslykhane, J. Kharbach
The isothermal bulk modulus BT, entropy S, heat capacity CV and the thermal expansion coefficient α are written as [100,105] where γ represents the Gruneisen parameter, which is defined as Thermal properties have been determined in the temperature range from 0 to 1500 K at zero pressure. The temperature-dependent lattice parameters of Co2FeZ (Z = Al; Ga; Si; Ge) compounds are displayed in Figure 9(a). As expected, the lattice parameter rises with increasing temperature for all compounds. In Figure 9(b), we have noted the evolution of the bulk modulus as a function of temperature. Also, we have found that the relationship between the bulk modulus and temperature is nearly linear up to 100 K. Then, it decreases with the growing temperature. Moreover, the compressibility increases with rising temperature. Hence, the increase in temperature weakened the hardness of this material.
New stable structures of OsN4 predicted using first-principles calculations
Published in Phase Transitions, 2022
H. H. Zhao, C. Zhang, X. S. Li, D. Li, Q. L. Wang, C. X. Zhang, P. Yan, H. Y. Wang
The bulk modulus and shear modulus can measure the resistance of a material to volume change and reversible deformations, respectively [43]. According to Table 2, the bulk modulus and shear modulus value of P4/mmm phase is smaller than that of R-3c phase. The Young's modulus (ratio between stress and strain) provides useful information about the measure of the stiffness of the solid. The larger the value of E, the stiffer the material. The variations of bulk modulus, shear modulus and Young's modulus with the pressure are given in Figure 4. It can be seen that the bulk modulus, shear modulus and Young's modulus increase with the increase of pressure. According to Figure 4 and Table 2, it is noticeable that R-3c-OsN4 is more stiffer as compared to P4/mmm-OsN4.
Comparison of mechanical properties of ground corn stover, switchgrass, and willow and their pellet qualities
Published in Particulate Science and Technology, 2018
Apoorva Karamchandani, Hojae Yi, Virendra M. Puri
Bulk modulus is a measure of resistance to volumetric deformation at a given isotropic pressure (Mittal and Puri 2005). In general, bulk modulus of size-reduced biomass increases when applied pressure increases (Figure 3). The trend of bulk modulus with an increase in unloading pressure was similar for all three materials (Karamchandani, Yi, and Puri 2015, 2016), except for the 6.35-mm size-reduced corn stover conditioned at 17.5% w.b. below 45 kPa. This counterintuitive observation may have some connection to the difficulty in forming corn stover pellets. Mechanically, this decrease in bulk modulus is thought to be due to combined effects of the sample’s mechanical softness, relatively larger particle sizes (6.35 mm), and lower moisture content (17.5% w.b.) promoting unstable interparticle bridges formed at the initial sample deposition and collapse of these bridges weakening the structural integrity of the particle system during the early compaction stage. Corn stover size-reduced with 3.175 mm screen size and conditioned at 20% w.b. had the lowest bulk modulus of 562.9 ± 56.5, 635.5 ± 48.7, 763.2 ± 38.5, and 1135.0 ± 101.5 MPa at 20, 45, 70 and 95 kPa unloading pressures, respectively. On the other hand, willow size-reduced with 3.175 mm conditioned at 17.5% w.b. had highest bulk modulus of 1133.8 ± 139.1, 1270.8 ± 179.9, 1551.6 ± 260.0, and 1764.9 ± 248.2 MPa at 20, 45, 70, and 95 kPa unloading pressures, respectively, among different conditions of all three biomass.