Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/1945
標題: 複合結構介面之應力問題研究
The Study of Stress Problems on the Interface in Composite Structures
作者: 廖鍾達
Liao, Chung-Da
關鍵字: Composite Structures;複合結構;Interface;介面
出版社: 機械工程學系
摘要: 
介面元素在模擬複合結構物內之介面是一種很有效的工具。在許多工程應
用與結構設計上,經常會有複合材料結構內之不同材料組件之間的相互接
觸作用問題。這類問題會使得該類結構物內部的應力破壞現象變得難以預
測。故而,精確的分析兩結構物介面上的應力分佈問題,在近代工程科技
上是一個重要的研究主題。本研究主要的目的即是針對結構設計問題,來
探討工程上複合材料內不同材料結構之間的介面應力分佈情形。Goodman
於 1968 年提出零介面厚度元素(Zero Thickness Interface Elements
)來解決複合材料內介面的接觸問題。他的方法至今仍被廣泛應用於工程
界,以計算不同材料結構之間介面的應力與變形。然而這種元素目前一直
不曾被討論到複雜的三維結構體方面。本研究參考Goodman的方法,推導
出一個通用的三維介面元素的公式,並驗證於二維和三維的有限元素分析
問題上。透過與其他一些簡單結構物上介面元素及理論解的比較,確定本
研究所導出的方法能精確地預測不同材料所組成之複合結構物上介面的接
觸面的應力與變形。然後將該方法應用於探討人工髖關節植入後在骨質內
相接觸面上的介面應力變化情形。由於人體股骨與人工髖關節的結構非常
複雜,而且活體實驗在結構應力反應方面一直無法得到令人信服的依據。
但是經由本文的計算結果,經與過去許多實驗與臨床經驗得到的推論相比
較,吾人確信本研究所提出的介面元素能正確地預測複合結構物內不同材
料間的介面接觸應力問題。

Interface elements are powerful tools in the simulation of the
boundaries between constituents with different materials in
composite structures. In many engineering applications and
structural designs, the interface problems between constituents
in composite structures are frequently encountered. These
connecting conditions make it difficult to understand the stress
failure phenomena. So, accuracy of analysis of stress
distributions on the interfaces between two adjacent structures
becomes rather important. The object of this project is to study
the stress distributions at the interfaces between dissimilar
material constituents in composite structures in engineering
designs.In 1968, Goodman proposed zero thickness interface
elements to solve the contact problems of interface in composite
structures. His method is quite efficient and still widely used
in the structural design for the composite problems so far. In
this study we refer to Goodman's way and re-formulate general,
applicable interface element formulations in two and three
dimensional finite elements for composite structures. Comparing
with other algorithms and available solutions, we have
demonstrated that the algorithms proposed here may predict the
stresses on the interface of composite structures correctly.
Then, we implement it for the study of the interface stresses of
the interface of bone-stem structures on the hip joints. The
structures of human femur and stem are rather complicate, and
the structural behaviors in the in vivo experiments are not
convincible. Based on the results of this study comparing with
related datum from experiments and clinical experience in the
past, we have proved that the algorithms proposed in this study
can predict the interface stresses between dissimilar material
in three-dimensional composite structures significantly.
URI: http://hdl.handle.net/11455/1945
Appears in Collections:機械工程學系所

Show full item record
 

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.