書誌事項
- タイトル別名
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- Analysis of Dynamic Loss Tangent (tanδ) -Temperature Curve Relating to Molecular Motion of Polymer Chain in Amorphous Regions in Fibers and Fiber-Forming Polymeric Materials.
- (第2報)緩和時間が幅広い分布を持つ系
説明
An attempt has been made to establish the relationships between the distribution Fτ (τ) of relaxation timeτand the shape and characteristic parameters of dynamic loss tangent (tanδ) -temperature (T) curve. For this purpose, the theoretical equation representing tanδ-T curve is derived for ten kinds of function formula for Fτ (τ) : seven functions of which are given by Fτ (τ) =kn'τn' (where, kn' : constant independent ofτ, n'=-2-3) (1), and three functions are given by triangles. WLF and Arrhenius types have been assumed for temperature dependence of τ.On the basis of the theoretical equations derived here, tanδ-T curve has numerically been calculated with the aid of an electronic computer. In the case of n'≥0 in eq. (1), the peak value of tanδ-T curve, (tanδ) max, peak tamperature Tmax, and the ratio of half value width ΔT1/2/ΔT1/2 (s) (the suffix s indicates the system composing of a single relaxation time) depend on the average relaxation timeτ, Fτ (τ), the total number of Maxwell elements in a system N, the ratio of elastic modulus before and after relaxation α, and the minimum relaxation time τl in Fτ (τ).In the case of n'≤-0.5 in eq. (1), the shoulder is significantly observed in the lower temperature region than Tmax in tanδ-T curve. The necessary conditions for appearance of this kind of shoulder is (tanδ) max≥3.5/ (n'+3) 4 and/N≥ √10.The tanδ-T curve (especially, ΔT1/2/T1/2 (s) , mearsured in the temper ature range of apperance of dynamic absorption arising from microbrownian movement of polymer seg ment in amorphous region of semi-crystalline polymers (αa), is remarkably different from that calculated by using the above mentioned functions for Fτ (τ). Contrary to this, tanδ-T curve determined experimentally in the temperature range of αa absorption of amorphous polymer is in fairly agreement with that calculated by using n'=-2-0 in Fτ (τ) =kn'τn' .In the actual experiment, no shoulder is observed in tanδ-T curve,
収録刊行物
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- 繊維機械学会誌
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繊維機械学会誌 30 (3), T55-T65, 1977
一般社団法人 日本繊維機械学会
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キーワード
詳細情報 詳細情報について
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- CRID
- 1390282679243678464
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- NII論文ID
- 130004390035
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- ISSN
- 18801994
- 03710580
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可