Modulus of elasticity, bulk

P = hquid bulk modulus of elasticity E = elastic modulus of pipe waU D = pipe inside diameter b = pipe wall thickness... 

The modulus of elasticity of volume, or bulk modulus of elasticity, of a fluid under specified conditions, is the ratio of any small increase of pressure to the resulting relative decrease of volume. We shall refer to this simply as the elasticity. 

When the pressure at some point in a fluid is changed, the new condition takes a finite time to be transmitted to some other point in the fluid because the state of each intervening element of fluid has to be changed. The velocity of propagation is a function of the bulk modulus of elasticity e, where e is defined by the relation ... 

Liquid Temp T (°C) Density p( kg/nr) Specific gravity S Absolute viscosity m(N s/itt) Kinematic viscosity (m2/s) Surface tension Isothermal bulk modulus of elasticity E N/n ) Coefficient of thermal expansion cT (K-1)... 

C. G. Sandler, "An Acoustic Technique for Measuring the Effective Dynamic Bulk Modulus of Elasticity and Associated Loss Factor of Rubber and Plastics", NavOrd Rept 1524(1950)... 

For description of an apparatus used by Philipoff Brodnyan, see Ref 3, and of that used by McKinney et al, see Ref 4 Refs l)E.Meyer K.Tamm, AkustZeitschr 7, 45 50(March 1942), "An Accustic Method for Determining the Dynamic Compressibility and Loss Factor of Elastic Substances 2)C.S. Sandler, NAVORD Rept 1524(Sept 1950), "An Accoustic Technique for Measuring the Effective Dynamic Bulk Modulus of Elasticity and Associated Loss Factor in Rubber and Plastics 3)W.Philipoff J.Brodnyan, JApplPhys 26, 846-9(1955), "Preliminary Results in Measuring Dynamic Compressibilities 4)J. E. McKinney et al, JApplPhys 27, 425-30(1956), "Apparatus for the Direct Determination of the Dynamic Bulk Modulus 5)W.S.Cramer, NAVORD Rept 4380(Sept 1956), "Bulk Compressibility Data on Several Explosives 6)J.Alster, PicArsn, Dover, NJ private communication(1961)... 

The modulus of elasticity in the glassy state depends on intermolecular forces 1 (. Therefore, Tobolsky 28) proposed the following equation correlating the bulk modulus of elasticity (B) at 0 K and cohesive energy density (82) ... 

One of the basic mechanical properties of the foam is its compressibility (elasticity). By definition the bulk modulus of elasticity Ev is expressed by... 

The following expression about the bulk modulus of elasticity of a gas bubble can be derived from Eq. (8.3)... 

K equilibrium constant rotational quantum number (bulk modulus of elasticity [= ]) radius of gyration radiation intensity internal pressure. 

Now the bulk modulus of elasticity of the fluid, tr(Pa), is given by the ratio of the increase in its pressure to the Actional decrease in its specific... 

The elastic moduli relevant to polycrystalline material are Young s Modulus of Elasticity, the Shear Modulus of Elasticity, and the Bulk Modulus of Elasticity. 

The Bulk Modulus of Elasticity is the elastic response to hydrostatic pressure and equilateral tension or the volumetric response to hydrostatic pressure and equilateral tension. It is also the property of a material that determines the elastic response to the application of stress. 

IRT insect resistant treated K bulk modulus of elasticity... 

Rock stratum Thickness Bulk modulus of elasticity Elastic shear modulus Gravity density Angle of internal friction Cohesion Uniaxial compressive strength Uniaxial tensile strength... 

Temperature, op Specihc Weight y, Ib/fP Density P. slugs/fp Viscosity H x 10 Ib-s/fP Kinematic Viscosity V X 105, fC/s Surface Tension a x 10 Ib/ft Vapor Pressure psia Vapor Pressure Head Pu % ft Bulk Modulus of Elasticity X 10-5, psi... 

The bulk modulus of elasticity Eg is used since the thin test sample is well-supported laterally, thus approaching the condition of hydrostatic compression. An apparent problem arises here in that this modulus is not one of the controlled test parameters, and further, its effective value at the extremely high strain rates (as much as 400,000 /sec) is unknown. However, since the result sought is the statistical probability of reaction based on the experimental incidence rate for the material, whichreflects the effect of the modulus, whatever it may be, it turns out not to be a problem because the relative controllable test parameters alone are sufficient to determine the statistical correlation between laboratory results and field application as shown later in this paper. 

The film stress due to the chemical force can be expressed by Eq. (1), where V is the specific volume of the Sn layer, B is the bulk modulus of elasticity for the film, and 2 is the partial molar volume of a single Cu atom in the CugSns intermetallic compound. 

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