Compliance, tensile

Note 3 Uniaxial compliance may be evaluated using tensile or compressive uniaxial deformation. If determined using tensile deformation it may be termed tensile compliance. Note 4 D = l/E, where E is Young s modulus. 

Differentiate and substitute this equation into Equation 13-85 and obtain the following expression for the complex tensile compliance D, defined as the difference in strain at times t2 and tx divided by the difference in stress at these two times ... 

In other words, independently of the viscoelastic history in the linear region, the tensile compliance function can readily be obtained from both the shear and bulk compliance functions. For viscoelastic solids and liquids above the glass transition temperature, the following relationships hold when t oo J t) t/T[ [Eq. (5.16)], D t) = y Jt [Eq. (5.21)], and D t)J t)/ >. These relations lead to r 3t that is, the elongational viscosity is three times the shear viscosity. It is noteworthy that the relatively high value of tensile viscosity facilitates film processing. 

Finally, the complex tensile compliance, and the complete tensile... 

The viscoelastic properties of the crystalline zones are significantly different from those of the amorphous phase, and consequently semicrystalline polymers may be considered to be made up of two phases each with its own viscoelastic properties. The best known model to study the viscoelastic behavior of polymers was developed for copolymers as ABS (acrylonitrile-butadiene-styrene triblock copolymer). In this system, spheres of rubber are immersed in a glassy matrix. Two cases can be considered. If the stress is uniform in a polyphase, the contribution of the phases to the complex tensile compliance should be additive. However, if the strain is uniform, then the contribution of the polyphases to the complex modulus is additive. The... 

The compliance is defined as the reciprocal of the modulus of elasticity (unit Pa 7 Hence, shear compliance is defined as / = 1/G, while tensile compliance is defined by D = /E. 

The high shape factor of the amorphous layers means that the amorphous Young s modulus Eam will be close to the amorphous bulk modulus of 2 GPa. The tensile compliance in the 3 direction will be dominated by the amorphous Contribution, because Ec of the polyethylene crystal is 250 GPa. Hence,... 

The proportionality constant in stress/strain measurements is known as the modulus of elasticity, the E modulus, or Young s modulus. The E modulus is always related to the cross section of the sample before stretching. The reciprocal of the modulus of elasticity is known as the tensile compliance. 

Ladizesky and Ward did present a few examples of time dependence of tensile compliances 533(1) and 522(0 5(isotropic) but it seems likely... 

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