Influence of a distribution of some deformation independent parameters on the orientation coefficients of the affine model

Abstract

Abstract:The number N of statistical segments of a network junction and the thicknessto-length ratio (t/I) of a floating rod are deformation independent parameters which appear in approximate extensions of the affine orientation model. Within the limits of these -purely geometric -models, the influence of different distributions of N and t/l on the orientation coefficients f(2/ and J}4/is numerically calculated. In the case of a broad distribution of segment numbers, the curvature of the ]},3 vs. ;t diagrams is considerably attenuated and the ~3 values are enhanced, especially in an intermediate region of 2. A broad distribution of t/l -ratios lowers the achieved J~9 values during uniaxial stretching.

Investigating the molecular orientation and mechanical properties characterization of drawn polypropylene fiber with different draw ratios using simulated microinterferograms of double refraction Pluta polarizing fringes

“…The same applies to the calculation of the orientation function, see Figure (8). Figure (9) shows f4(), f2() ( calculated from equation 15-a&b), f4()c, and f2()c ( calculated from equations 17 & 19).…”

“…From Figure (9), we can note the nonlinearity of the relationship between the orientation function and the draw ratio in polypropylene fibers.…”

“…For clarification, from equations ( 4), ( 15) and ( 16), the crystalline orientation function and the birefringence of fiber are given by the following formulas: 17) by the following formula; (Hennecke 1983…”

“…Figure(9) the optical orientation functions (f2() and f4()) and the crystalline orientation functions (f2()c and f4()c) versus the draw ratio.…”