- 學位論文
RC桿件剖面二維應力纖維材料演算流程之研究
Study toward the Solution Algorithm for 2-D Fibers in Sections of RC Members
摘要
RC梁柱構件之非線性有限元素的分析中，力法式有限纖維元素模式(force-based finite fiber element model)再配合一組迭代演算流程的element state determination應是現今被認為最好、最適切的分析方法。然而，由於剪力效應的複雜性，此分析方法目前並未考慮剪力效應。而Hsu(2002)所提出的SMM理論，提供了一個可以考慮雙軸應力應變關係的分析模式。本論文係對SMM的理論做些必要的修改，提出了一演算流程，使其能應用在RC梁之剖面上纖維的分析。論文中也利用本文所提出的流程分析了許多組的數據，以測試流程的穩定性與正確性。此外，論文中更將此演算流程應用到懸臂梁的分析上，而求出梁的力—位移曲線，並比較考慮剪力效應與只考慮彎曲行為的結果。因此，本論文在考慮剪力效應之RC構架有限元素模式的初步研究中，提供了其剖面上二維應力纖維材料的演算流程。
並列摘要
The force-based finite fiber element model with an iterative element state determination procedure has been regarded as one of the most promising simulation methods for reinforced concrete (RC) frames subjected to cyclic-static or dynamic excitations. However, this method does not incorporate the trickier shear effect. The SMM theory proposed by Hsu (2002) presents an analytical model which can take into account the biaxial stress-strain state. Hence, this research modifies SMM and proposes a solution algorithm which can be applied to the analysis of fibers in sections of RC members. This thesis also applies the solution algorithm to run a number of cases to test its stability and validity. Furthermore, this thesis employs such solution algorithm to analyze a cantilever beam to find the load-deflection curve of this beam. In conclusion, this thesis gives a solution algorithm for 2-D fibers in sections of RC members, which may be utilized in the force-based finite fiber element model of RC frames.