Modulus tangent Young

Standard Test Method for Young s Modulus, Tangent Modulus, and Chord Modu-... 

The maximum test frequencies for cryogenic fatigue measurements can be much higher than at RT because of very low mechanical damping (tan Sm < 10 at 4.2 K) and absence of rate dependence below 1 kHz. The heat power generated per sample volume V can be estimated from the loss tangent. Young s modulus E iT), strain amplitude e, and test frequency/ ... 

Figures 1 through 6 show the SCSS data curve for the temperature defined. The elevated temperature curves (Figures 2 through 6) define the initial tangent Young s modulus or MOE (Eq, slope line with circle) and the secant modulus (Es, slope line with solid square). Es reflects the slope to the point of maximum crushing stress on the SCSS data curve. Sc is the maximum stress or crushing stress for the test temperature defined. Refer to Table 1 for the values of Eq, Es, and Sc-...

The stiffness of a plastic is expressed in terms of a modulus of elasticity. Most values of elastic modulus quoted in technical literature represent the slope of a tangent to the stress-strain curve at the origin (see Fig. 1.6). This is often referred to as Youngs modulus, E, but it should be remembered that for a plastic this will not be a constant and, as mentioned earlier, is only useful for quality... 

The elastic modulus is the slope of the tangent at the origin of the stress/strain curve. The tensile or compression modulus is often called Young s modulus whereas the torsion modulus is often called shear modulus or Coulomb s modulus. 

Dynamic specific modulus E /y, the ratio of dynamic Young s modulus to specific gravity, and loss tangent tan 8 can be used to study the viscoelastic nature of wood. E /y is related to sound velocity and tan 8 to sound absorption or damping within the wood. A large E /y and small tan 8 characterize the acoustic quality of soundboard wood [3]. 

Fig. 5. Calculated structural loss factor based on RKU model for three-layer composite with varying Young s storage modulus and loss tangent of viscoelastic layer.

A transfer function technique for the determination of the dynamic Young s modulus and loss tangent has been described. Algorithms for performing time-temperature superposition have been discussed. 

Estimate the frequency dependence of the storage and loss modulus of semiflexible chains at intermediate frequencies tg a To from Eq. (8.117), keeping in mind that Young s modulus is three times the shear modulus (E(t) — 3G(t)). What is the value of the loss tangent tan 6 in... 

E, G, B and v are functions of both the temperature and frequency (rate) of measurement. They are often treated as complex (dynamic) properties. The real portion quantifies the energy which is reversibly stored by the "elastic" component of the deformation. The imaginary portion quantifies the energy lost ( dissipated ) by the "viscous" component of the deformation. For example, equations 11.8 and 11.9 define the complex Young s modulus E, its real and imaginary components E and E", and the mechanical loss tangent tan g under uniaxial tension. 

Fig. 244A, B. Temperature dependence of the storage Young modulus E and the loss tangent tan S at 2.5 Hz and small strain amplitude A for a potassium type gellan (called FI) B for the same gdlan in the presence of 100 mmol/i KQ (called F3 gellan concentration in wt% (a) 0.7 (b) (c) 1.A (d)...

Tensile modulus The ratio of tensile stress to tensile strain of a material in the elastic region (from no strain to point B in Figure 1.23) of a stress-strain curve. A Tangent tensile modulus value is the slope of the elastic region of the stress-strain curve and is also known as Young s modulus, the elastic modulus, or the modulus of elasticity. A Secant tensile modulus value is the slope of a line connecting the point of zero strain to a point on the stress-strain curve at a specified strain... 

Figure 22.3A, B depicts the storage modulus, loss modulus, and loss tangent as a function of temperature for polymer crosslinked silica aerogel (X-SiOx) with density 0.67 g/ cm and polymer crosslinked vanadia aerogel (X-VOx) with density 0.65 g/cm. At room temperature (23°C), the Young s modulus is 611/673 MPa for X-SiOx andX-VOx, respectively. As the temperature becomes lower the storage modulus increases. At — 119°C, the...

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