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題名 | Gibson壓密理論的線性特質=Linearity of Gibson's Theory of Soil Consolidation |
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作者 | 洪明瑞; 李顯智; 張惠文; | 書刊名 | 力學 |
卷期 | 12:3 1996.09[民85.09] |
頁次 | 頁307-317 |
分類號 | 441.12 |
關鍵詞 | 非線性壓密; 正確解; 變數角色變換; Nonlinear consolidation; Exact solution; Hodograph transformation; Gibson's theory; |
語文 | 中文(Chinese) |
中文摘要 | 土壤力學中非線性單向度壓密理論,其對物理現象之描述雖較傳統的線性單向度 壓密理論更能說明實際土壤之變形行為,然因非線性之數學模式極為複雜,僅能以數值方法 求得其近似解,而無法求得正確解。本文針對近年來廣被採用之 Gibson 非線性壓密理論, 利用變數角色變換( hodograph transformation )的方法將非線性的 Gibson 壓密方程線 性化。本文的處理過程是以變數角色變換把原本非線性方程轉換成線性方程,此線性化過程 並沒有引入誤差成份,故所求得的解為正確解而非近似解。本文所求得的正確解可應用於檢 驗數值計算程式的準確度。 |
英文摘要 | This paper study the theory of soil consolidation developed by R.E. Gibson and his co-workers. It is a nonlinear theory and is believed to be better in describing consolidation phenomenon than the traditional linear theory. It is found that, if the influence of the self-weight of solid and pore fluid on consolidation is neglected and the function g(e)=C ν (1+e) �笐� is adopted, the nonlinear Gibson equation can be transformed to a linear equation via a hodograph transformation developed in the recent years by the authors (HCL and HWC). A remarkable fact is that the linear equation transformed from the Gibson equation is in the same form of the famous Terzaghi equation. An exact solution of the Gibson equation is constructed using the derived results. |
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