집중력의 확산현상과 구조의 불연속에 기인되는 응력집중현상의 유한요소법에 의한 해석

다국어 초록 (Multilingual Abstract)

A finite element model of a problem gives a piecewise approximation to the governing equations. The basic premise of the finite element method in that a solution region can be analytically modeled or approximated by replacing it with an assemblage of discrete elements.
In this paper, to analyze the stress diffusion of the cantilevered plate subjected to concentrated load and the stress concentration of the plate with a circular hole in its center, the governing equation is derived by energy method.
The two dimensional finite elements of the triangular element and the rectangular element with two degrees of freedom at each node are used for this problem and are defined by speci-fying geometry, internal displacement functions, strain-displace ment relations and stress displacement relations.
To analyze the stress diffusion of the cantilevered plate the rectangular element is used and this element has the comp-atibilities of the displacements. To analyze the stress concen-tration of the plate with a circular hole in its center the triangular element is used and this triangular element is suita-ble for the shapes of the irregular boundaries.
The stress diffusion factors of the cantilevered plate sub-jected to concentrated load, and the stress concentration factors of the plate with a circular hole in its center are obtained.
The results are plotted graphically and the parts of these results are compared with Ref.(6), Ref(8) and Ref.(16). They agree good enough to accept the problem of engineerings in this field.

목차 (Table of Contents)

• 목차
• 1. 序論 = 1
• 2. 二次元 有限要素 = 4
• 2-1. 統制 方程式 = 4
• 2-2. 三角形 有限要素 = 6
• 2-2-1. 幾何學的 形態와 節点의 自由度 = 6
• 2-2-2. 內部變位函數 = 7
• 2-2-3. 變形率-變位關係 = 8
• 2-2-4. 應力-變形率關係 및 剛性메트릭스 = 9
• 2-3. 四角形 有限要素 = 10
• 2-3-1. 幾何學的 形態와 節点의 自由度 = 10
• 2-3-2. 內部變位函數 = 10
• 2-3-3. 變形率-變位關係 = 12
• 2-3-4. 應力-變形率關係 및 剛性메트릭스 = 14
• 3. 構造物 全?에 대한 剛性메트릭스의 構成과 境界條件의 適用 = 15
• 4. 計算例 = 20
• 4-1. 集中荷重이 作用하는 一端固定板의 應力擴散 = 20
• 4-1-1. 問題의 設明 = 20
• 4-1-2. 有限要素의 分割과 境界條件 = 22
• 4-1-3. 結果 및 檢討 = 24
• 4-2. 元形 구멍을 가진 板의 應力分布 = 31
• 4-2-1. 問題의 設明 = 31
• 4-2-2. 有限要素의 分割과 境界條件 = 33
• 4-2-3. 結果 및 檢討 = 35
• 5. 結論 = 57
• 參考文獻 = 60
• 英文秒錄 = 64
• 附錄
• I. 要素의 剛性메트릭스 = A-1
• II. 應力集中 및 擴散表 = A-2
• III. 構造物 全?에 대한 要素 및 節点의 番互 = A-7
• IV. 콤퓨터 프로그램 = A-9