規則立方堆積可變形粒子床受單軸向壓縮變形之研究

Deformation of Simple Cubic Packed Deformable Particle Bed under Uni-axial Compression

童國倫(Kuo-Lun Tung)

《中原學報》 28卷3期 (2000/09) Pp. 33-40

https://doi.org/10.6358/JCYU.200009.0033

摘要

爲探討可變形粒子床内粒子的比表面積隨孔隙度變化之關係，本研究由立方規則堆積之可變形粒子床受單軸向壓縮後之變形來探討可變形粒子受壓縮後對粒子床結構所產生的變化。本研究首先針對單顆粒子進行機械壓縮實驗，並推導一黏彈性固體大變形之理論模式，輔以說明實驗結果。此外，並基於此單顆粒子的變形理論模式，推導規則堆積粒子床受壓縮後之比表面積與孔隙度間的理論關係式如下：
(方程式略)
理論演導過程中考慮了粒子接觸面大小估計法的修正及因變形而導致之總表面積之變化，因此將可應用於各類牽涉可變形粒子床之壓縮程序中的比表面積比的估算。

關鍵字

可變形粒子 ； 簡單立方格子堆積 ； 堆積結構 ； 單軸向壓縮 ； 接觸面積 ； 孔隙度

並列摘要

In order to study the variation of structure morphology of simple cubic packing containing deformable particles under uni-axial compression, a theoretical contact model based upon the modified Hertz theory was proposed. Effect of particle deformation due to mechanical loading on the reduction of porosity was studied to examine how this variation led to the increase in contact area between particles. Both theoretical and experimental results show that the theoretical model can be used to predicate the mechanical behaviors of gel particle under mechanical compression well. Based upon the theoretical derivation and the verification of experimental results, a correlated relationship between specific surface area ratio and bed porosity is presented as follow:
(The equation is abbreviated)
This theoretical relation can be used to estimate the variation of specific surface area ratio with porosity.

並列關鍵字

deformable particle ； simple cubic packing ； packing structure ； uni-axial compression contact area ； porosity