By Frederick R. Eirich

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In the case of the modulus curves, the G(t) curve is similar to the G'(co) curve and lies slightly below it. It is noticed on comparing Fig. 20 with Fig. 5 that the experimental creep compliance curves are much more extended on the logarithmic time plot ; hence the assumption made originally concerning the rate of approach to equilibrium is incorrect. The mechanical models in Figs. 18 and 19 and the operator equations, equations (2) and (2a), thus represent only to a first approximation the mechanical response of a cross-linked amorphous polymer.

I n principle, if J(t) i s k n o w n culated, experimental done over t h e whole a n d similarly only results b y H(t) significant range t o t, t h e n L(t) c a n b e c a l c u l a t e d f r o m G(t). are given approximate i n graphical procedures; o r numerical these w i l l can be I n practice, f o r m , be cal- i f t h e this can be considered subse- quently. W e β"(ω) will tionship t r u m . n o w consider t h e relationship between response functions between a n d t h e relaxation as before, a n d f o r J(t) w e Ca = w r i t e where a n d J"(co) J'(ω) discussed = i n Section spectively, σ α« / ' ( ω ) t h e expression given s i n œt — o f this spec- (17a), w e p u t σ α< / " ( ω ) i n equation chapter.

10 10 = 1/Jg 10 2 dynes/cm. T r i = JQTXIJX = 8 . 3 X 1 0 ~ s e c . 6 2 G2 -= 1 / Λ = 2 . 5 Χ 1 0 d y n e s / c m . 4 = JiT2v/(vJ2 + τ 2 ) = 1 . 7 2 Χ 1 0 s e c . Vdyne 3 = = 7 6 Ji Τ2 V weight polyisobutyl- model. 30 X 10 4 dynes/cm. 43 X 10 sec. relaxation o f t h e parameters I I , w h i c h t h e T 2 = r 2) t h e t w o shorter T h e values f o r t h e parameters + V JÏ/(VJ2 t i m e s also gives t h e approximate model of F i g . 2 4 6 i n o f t h e o f t h e t w o t e r m s o f models expres- those o f 24a.

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