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題名 | 利用自由體積理論分析受周圍環境影響之二維熱黏彈反應 |
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作者 | 陳榮盛; 陳健儒; 鄭尊仁; | 書刊名 | 力學 |
卷期 | 11:4 1995.12[民84.12] |
頁次 | 頁357-368 |
分類號 | 440.2 |
關鍵詞 | 自由體積理論; 熱黏彈反應; 連續疊代法; Free volume theory; Thermoviscoelastic response; Successive iteration; |
語文 | 中文(Chinese) |
中文摘要 | 本文以自由體積理論為基礎,探討高分子材料在T□至T□+100°K之間的熱黏彈 反應。 首先,定義某一溫度材料的自由體積比;其次引用 Doolittle 方程式,同時對圍壓 考慮等似溫度效應( equivalent temperature effect ),求得轉移因子( shift factor )的關係式,進而計算出衰減時間( reduced time )。而對於熱黏彈之積微方程組則是採 用連續疊代法( successive iteration method )之數值分析, 求得每一時間階段的熱黏 彈反應值。 應用範例中採用聚醋酸乙烯酯( Polyvinyl acetate )材料,在二維平面應力 狀態下,承受溫度變化、不同應變率及圍壓作用時之非線性熱黏彈反應。 |
英文摘要 | Based on the free volume theory, the analysis of thermoviscoelastic response has been studied from T □ to T □+ 100 ° K for the polymeric material. Firt, the free volume ratio is defined at some temperature. Then, the Doolittle equation is expressed the shift factor in terms of the free volume ratio. However, the change of free volume is affected by the variation of temperature and pressure. In this paper, the polymeric material under pressure is recognized to invole an equivalent temperature effect in the relationship of shift factor. Therefore, we employ the free volume theory to analyze the effect of environmental factors, such as temperature and pressure on the polymeric material. In other words, the Doolittle equation is expanded to solve the shift factor function and reduced time of the material response. The governing equations which derived from the two-dimensional analysis are nonlinear integro-differential equation. These equations are solved by the method of successive iteration in numerical technology. The material of polyvinyl acetate (PVAC) is adoped, and combinations of various temperatures, strain rate and pressure are considered in the analysis of the thermoviscoelastic response. |
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